---
OA_place: repository
OA_type: green
_id: '20648'
abstract:
- lang: eng
text: Polynomial quantified entailments with existentially and universally quantified
variables arise in many problems of verification and program analysis. We present
PolyQEnt which is a tool for solving polynomial quantified entailments in which
variables on both sides of the implication are real valued or unbounded integers.
Our tool provides a unified framework for polynomial quantified entailment problems
that arise in several papers in the literature. Our experimental evaluation over
a wide range of benchmarks shows the applicability of the tool as well as its
benefits as opposed to simply using existing SMT solvers to solve such constraints.
acknowledgement: 'This work was supported by the following grants: ERC CoG 863818
(ForM-SMArt), Austrian Science Fund (FWF) 10.55776/COE12, ERC StG 101222524 (SPES),
the Ethereum Foundation Research Grant FY24-1793, and the Singapore Ministry of
Education (MOE) Academic Research Fund (AcRF) Tier 1 grant (Project ID:22-SISSMU-100).'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Ehsan
full_name: Kafshdar Goharshadi, Ehsan
id: 103b4fa0-896a-11ed-bdf8-87b697bef40d
last_name: Kafshdar Goharshadi
orcid: 0000-0002-8595-0587
- first_name: Mehrdad
full_name: Karrabi, Mehrdad
id: 67638922-f394-11eb-9cf6-f20423e08757
last_name: Karrabi
orcid: 0009-0007-5253-9170
- first_name: Milad
full_name: Saadat, Milad
last_name: Saadat
- first_name: Maximilian
full_name: Seeliger, Maximilian
last_name: Seeliger
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady AK, Goharshady E, et al. PolyQEnt: A polynomial quantified
entailment solver. In: 23rd International Symposium on Automated Technology
for Verification and Analysis. Vol 16145. Springer Nature; 2025:411-424. doi:10.1007/978-3-032-08707-2_19'
apa: 'Chatterjee, K., Goharshady, A. K., Goharshady, E., Karrabi, M., Saadat, M.,
Seeliger, M., & Zikelic, D. (2025). PolyQEnt: A polynomial quantified entailment
solver. In 23rd International Symposium on Automated Technology for Verification
and Analysis (Vol. 16145, pp. 411–424). Bengaluru, India: Springer Nature.
https://doi.org/10.1007/978-3-032-08707-2_19'
chicago: 'Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Ehsan Goharshady, Mehrdad
Karrabi, Milad Saadat, Maximilian Seeliger, and Dorde Zikelic. “PolyQEnt: A Polynomial
Quantified Entailment Solver.” In 23rd International Symposium on Automated
Technology for Verification and Analysis, 16145:411–24. Springer Nature, 2025.
https://doi.org/10.1007/978-3-032-08707-2_19.'
ieee: 'K. Chatterjee et al., “PolyQEnt: A polynomial quantified entailment
solver,” in 23rd International Symposium on Automated Technology for Verification
and Analysis, Bengaluru, India, 2025, vol. 16145, pp. 411–424.'
ista: 'Chatterjee K, Goharshady AK, Goharshady E, Karrabi M, Saadat M, Seeliger
M, Zikelic D. 2025. PolyQEnt: A polynomial quantified entailment solver. 23rd
International Symposium on Automated Technology for Verification and Analysis.
ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 16145, 411–424.'
mla: 'Chatterjee, Krishnendu, et al. “PolyQEnt: A Polynomial Quantified Entailment
Solver.” 23rd International Symposium on Automated Technology for Verification
and Analysis, vol. 16145, Springer Nature, 2025, pp. 411–24, doi:10.1007/978-3-032-08707-2_19.'
short: K. Chatterjee, A.K. Goharshady, E. Goharshady, M. Karrabi, M. Saadat, M.
Seeliger, D. Zikelic, in:, 23rd International Symposium on Automated Technology
for Verification and Analysis, Springer Nature, 2025, pp. 411–424.
conference:
end_date: 2025-10-31
location: Bengaluru, India
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2025-10-27
corr_author: '1'
date_created: 2025-11-16T23:01:24Z
date_published: 2025-10-26T00:00:00Z
date_updated: 2025-11-24T13:11:10Z
day: '26'
department:
- _id: KrCh
doi: 10.1007/978-3-032-08707-2_19
ec_funded: 1
external_id:
arxiv:
- '2408.03796'
intvolume: ' 16145'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2408.03796
month: '10'
oa: 1
oa_version: Preprint
page: 411-424
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 23rd International Symposium on Automated Technology for Verification
and Analysis
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783032087065'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'PolyQEnt: A polynomial quantified entailment solver'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16145
year: '2025'
...
---
_id: '18155'
abstract:
- lang: eng
text: We study the classical problem of verifying programs with respect to formal
specifications given in the linear temporal logic (LTL). We first present novel
sound and complete witnesses for LTL verification over imperative programs. Our
witnesses are applicable to both verification (proving) and refutation (finding
bugs) settings. We then consider LTL formulas in which atomic propositions can
be polynomial constraints and turn our focus to polynomial arithmetic programs,
i.e. programs in which every assignment and guard consists only of polynomial
expressions. For this setting, we provide an efficient algorithm to automatically
synthesize such LTL witnesses. Our synthesis procedure is both sound and semi-complete.
Finally, we present experimental results demonstrating the effectiveness of our
approach and that it can handle programs which were beyond the reach of previous
state-of-the-art tools.
acknowledgement: This work was supported in part by the ERC-2020-CoG 863818 (FoRM-SMArt)
and the Hong Kong Research Grants Council ECS Project Number 26208122.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Ehsan
full_name: Goharshady, Ehsan
last_name: Goharshady
- first_name: Mehrdad
full_name: Karrabi, Mehrdad
id: 67638922-f394-11eb-9cf6-f20423e08757
last_name: Karrabi
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady AK, Goharshady E, Karrabi M, Zikelic D. Sound and complete
witnesses for template-based verification of LTL properties on polynomial programs.
In: Lecture Notes in Computer Science (Including Subseries Lecture Notes in
Artificial Intelligence and Lecture Notes in Bioinformatics). Vol 14933. Springer
Nature; 2024:600-619. doi:10.1007/978-3-031-71162-6_31'
apa: 'Chatterjee, K., Goharshady, A. K., Goharshady, E., Karrabi, M., & Zikelic,
D. (2024). Sound and complete witnesses for template-based verification of LTL
properties on polynomial programs. In Lecture Notes in Computer Science (including
subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
(Vol. 14933, pp. 600–619). Milan, Italy: Springer Nature. https://doi.org/10.1007/978-3-031-71162-6_31'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Ehsan Goharshady, Mehrdad
Karrabi, and Dorde Zikelic. “Sound and Complete Witnesses for Template-Based Verification
of LTL Properties on Polynomial Programs.” In Lecture Notes in Computer Science
(Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes
in Bioinformatics), 14933:600–619. Springer Nature, 2024. https://doi.org/10.1007/978-3-031-71162-6_31.
ieee: K. Chatterjee, A. K. Goharshady, E. Goharshady, M. Karrabi, and D. Zikelic,
“Sound and complete witnesses for template-based verification of LTL properties
on polynomial programs,” in Lecture Notes in Computer Science (including subseries
Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics),
Milan, Italy, 2024, vol. 14933, pp. 600–619.
ista: 'Chatterjee K, Goharshady AK, Goharshady E, Karrabi M, Zikelic D. 2024. Sound
and complete witnesses for template-based verification of LTL properties on polynomial
programs. Lecture Notes in Computer Science (including subseries Lecture Notes
in Artificial Intelligence and Lecture Notes in Bioinformatics). FM: Formal Methods,
LNCS, vol. 14933, 600–619.'
mla: Chatterjee, Krishnendu, et al. “Sound and Complete Witnesses for Template-Based
Verification of LTL Properties on Polynomial Programs.” Lecture Notes in Computer
Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture
Notes in Bioinformatics), vol. 14933, Springer Nature, 2024, pp. 600–19, doi:10.1007/978-3-031-71162-6_31.
short: K. Chatterjee, A.K. Goharshady, E. Goharshady, M. Karrabi, D. Zikelic, in:,
Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial
Intelligence and Lecture Notes in Bioinformatics), Springer Nature, 2024, pp.
600–619.
conference:
end_date: 2024-09-13
location: Milan, Italy
name: 'FM: Formal Methods'
start_date: 2024-09-09
corr_author: '1'
date_created: 2024-09-29T22:01:37Z
date_published: 2024-09-11T00:00:00Z
date_updated: 2025-09-08T09:51:34Z
day: '11'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-71162-6_31
ec_funded: 1
external_id:
arxiv:
- '2403.05386'
isi:
- '001336893300031'
file:
- access_level: open_access
checksum: 223845be9e754681ee218866827c95e7
content_type: application/pdf
creator: dernst
date_created: 2024-10-01T09:56:54Z
date_updated: 2024-10-01T09:56:54Z
file_id: '18165'
file_name: 2024_LNCS_Chatterjee.pdf
file_size: 650495
relation: main_file
success: 1
file_date_updated: 2024-10-01T09:56:54Z
has_accepted_license: '1'
intvolume: ' 14933'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 600-619
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Lecture Notes in Computer Science (including subseries Lecture Notes
in Artificial Intelligence and Lecture Notes in Bioinformatics)
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031711619'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Sound and complete witnesses for template-based verification of LTL properties
on polynomial programs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 14933
year: '2024'
...
---
_id: '17162'
abstract:
- lang: eng
text: "Cost analysis, also known as resource usage analysis, is the task of finding
bounds on the total cost of a program and is a well-studied problem in static
analysis. In this work, we consider two classical quantitative problems in cost
analysis for probabilistic programs. The first problem is to find a bound on the
expected total cost of the program. This is a natural measure for the resource
usage of the program and can also be directly applied to average-case runtime
analysis. The second problem asks for a tail bound, i.e. given a threshold t
the goal is to find a probability bound p such that ℙ[total cost ≥ t] ≤ p. Intuitively,
given a threshold t on the resource, the problem is to find the likelihood that
the total cost exceeds this threshold.\r\nFirst, for expectation bounds, a major
obstacle in previous works on cost analysis is that they can handle only non-negative
costs or bounded variable updates. In contrast, we provide a new variant of the
standard notion of cost martingales, that allows us to find expectation bounds
for a class of programs with general positive or negative costs and no restriction
on the variable updates. More specifically, our approach is applicable as long
as there is a lower bound on the total cost incurred along every path.\r\nSecond,
for tail bounds, all previous methods are limited to programs in which the expected
total cost is finite. In contrast, we present a novel approach, based on a combination
of our martingale-based method for expectation bounds with a quantitative safety
analysis, to obtain a solution to the tail bound problem that is applicable even
to programs with infinite expected cost. Specifically, this allows us to obtain
runtime tail bounds for programs that do not terminate almost-surely.\r\nIn summary,
we provide a novel combination of martingale-based cost analysis and quantitative
safety analysis that is able to find expectation and tail cost bounds for probabilistic
programs, without the restrictions of non-negative costs, bounded updates, or
finiteness of the expected total cost. Finally, we provide experimental results
showcasing that our approach can solve instances that were beyond the reach of
previous methods."
acknowledgement: "This work was supported in part by the European Research Council
(ERC) under Grant No. 863818\r\n(ForM-SMArt) and the Hong Kong Research Grants Council
under ECS Project No. 26208122."
article_number: '107'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. Quantitative bounds
on resource usage of probabilistic programs. Proceedings of the ACM on Programming
Languages. 2024;8(OOPSLA1). doi:10.1145/3649824
apa: Chatterjee, K., Goharshady, A. K., Meggendorfer, T., & Zikelic, D. (2024).
Quantitative bounds on resource usage of probabilistic programs. Proceedings
of the ACM on Programming Languages. Association for Computing Machinery.
https://doi.org/10.1145/3649824
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Tobias Meggendorfer,
and Dorde Zikelic. “Quantitative Bounds on Resource Usage of Probabilistic Programs.”
Proceedings of the ACM on Programming Languages. Association for Computing
Machinery, 2024. https://doi.org/10.1145/3649824.
ieee: K. Chatterjee, A. K. Goharshady, T. Meggendorfer, and D. Zikelic, “Quantitative
bounds on resource usage of probabilistic programs,” Proceedings of the ACM
on Programming Languages, vol. 8, no. OOPSLA1. Association for Computing Machinery,
2024.
ista: Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. 2024. Quantitative
bounds on resource usage of probabilistic programs. Proceedings of the ACM on
Programming Languages. 8(OOPSLA1), 107.
mla: Chatterjee, Krishnendu, et al. “Quantitative Bounds on Resource Usage of Probabilistic
Programs.” Proceedings of the ACM on Programming Languages, vol. 8, no.
OOPSLA1, 107, Association for Computing Machinery, 2024, doi:10.1145/3649824.
short: K. Chatterjee, A.K. Goharshady, T. Meggendorfer, D. Zikelic, Proceedings
of the ACM on Programming Languages 8 (2024).
date_created: 2024-06-23T22:01:02Z
date_published: 2024-04-29T00:00:00Z
date_updated: 2025-04-14T07:52:47Z
day: '29'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3649824
ec_funded: 1
file:
- access_level: open_access
checksum: 9243ded966f71df1572be5466019be5c
content_type: application/pdf
creator: dernst
date_created: 2024-06-27T07:48:16Z
date_updated: 2024-06-27T07:48:16Z
file_id: '17182'
file_name: 2024_ProcACMProgLanguage_Chatterjee.pdf
file_size: 413096
relation: main_file
success: 1
file_date_updated: 2024-06-27T07:48:16Z
has_accepted_license: '1'
intvolume: ' 8'
issue: OOPSLA1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative bounds on resource usage of probabilistic programs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2024'
...
---
_id: '14318'
abstract:
- lang: eng
text: "Probabilistic recurrence relations (PRRs) are a standard formalism for describing
the runtime of a randomized algorithm. Given a PRR and a time limit κ, we consider
the tail probability Pr[T≥κ], i.e., the probability that the randomized runtime
T of the PRR exceeds κ. Our focus is the formal analysis of tail bounds that aims
at finding a tight asymptotic upper bound u≥Pr[T≥κ]. To address this problem,
the classical and most well-known approach is the cookbook method by Karp (JACM
1994), while other approaches are mostly limited to deriving tail bounds of specific
PRRs via involved custom analysis.\r\nIn this work, we propose a novel approach
for deriving the common exponentially-decreasing tail bounds for PRRs whose preprocessing
time and random passed sizes observe discrete or (piecewise) uniform distribution
and whose recursive call is either a single procedure call or a divide-and-conquer.
We first establish a theoretical approach via Markov’s inequality, and then instantiate
the theoretical approach with a template-based algorithmic approach via a refined
treatment of exponentiation. Experimental evaluation shows that our algorithmic
approach is capable of deriving tail bounds that are (i) asymptotically tighter
than Karp’s method, (ii) match the best-known manually-derived asymptotic tail
bound for QuickSelect, and (iii) is only slightly worse (with a loglogn factor)
than the manually-proven optimal asymptotic tail bound for QuickSort. Moreover,
our algorithmic approach handles all examples (including realistic PRRs such as
QuickSort, QuickSelect, DiameterComputation, etc.) in less than 0.1 s, showing
that our approach is efficient in practice."
acknowledgement: We thank Prof. Bican Xia for valuable information on the exponential
theory of reals. The work is partially supported by the National Natural Science
Foundation of China (NSFC) with Grant No. 62172271, ERC CoG 863818 (ForM-SMArt),
the Hong Kong Research Grants Council ECS Project Number 26208122, the HKUST-Kaisa
Joint Research Institute Project Grant HKJRI3A-055 and the HKUST Startup Grant R9272.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Yican
full_name: Sun, Yican
last_name: Sun
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: 'Sun Y, Fu H, Chatterjee K, Goharshady AK. Automated tail bound analysis for probabilistic
recurrence relations. In: Computer Aided Verification. Vol 13966. Springer
Nature; 2023:16-39. doi:10.1007/978-3-031-37709-9_2'
apa: 'Sun, Y., Fu, H., Chatterjee, K., & Goharshady, A. K. (2023). Automated
tail bound analysis for probabilistic recurrence relations. In Computer Aided
Verification (Vol. 13966, pp. 16–39). Paris, France: Springer Nature. https://doi.org/10.1007/978-3-031-37709-9_2'
chicago: Sun, Yican, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar Goharshady.
“Automated Tail Bound Analysis for Probabilistic Recurrence Relations.” In Computer
Aided Verification, 13966:16–39. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-37709-9_2.
ieee: Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Automated tail bound
analysis for probabilistic recurrence relations,” in Computer Aided Verification,
Paris, France, 2023, vol. 13966, pp. 16–39.
ista: 'Sun Y, Fu H, Chatterjee K, Goharshady AK. 2023. Automated tail bound analysis
for probabilistic recurrence relations. Computer Aided Verification. CAV: Computer
Aided Verification, LNCS, vol. 13966, 16–39.'
mla: Sun, Yican, et al. “Automated Tail Bound Analysis for Probabilistic Recurrence
Relations.” Computer Aided Verification, vol. 13966, Springer Nature, 2023,
pp. 16–39, doi:10.1007/978-3-031-37709-9_2.
short: Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Computer Aided Verification,
Springer Nature, 2023, pp. 16–39.
conference:
end_date: 2023-07-22
location: Paris, France
name: 'CAV: Computer Aided Verification'
start_date: 2023-07-17
date_created: 2023-09-10T22:01:12Z
date_published: 2023-07-17T00:00:00Z
date_updated: 2025-09-09T12:55:28Z
day: '17'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-37709-9_2
ec_funded: 1
external_id:
isi:
- '001310805600002'
file:
- access_level: open_access
checksum: 42917e086f8c7699f3bccf84f74fe000
content_type: application/pdf
creator: dernst
date_created: 2023-09-20T08:24:47Z
date_updated: 2023-09-20T08:24:47Z
file_id: '14348'
file_name: 2023_LNCS_Sun.pdf
file_size: 624647
relation: main_file
success: 1
file_date_updated: 2023-09-20T08:24:47Z
has_accepted_license: '1'
intvolume: ' 13966'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 16-39
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031377082'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/boyvolcano/PRR
scopus_import: '1'
status: public
title: Automated tail bound analysis for probabilistic recurrence relations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 13966
year: '2023'
...
---
_id: '12102'
abstract:
- lang: eng
text: 'Given a Markov chain M = (V, v_0, δ), with state space V and a starting state
v_0, and a probability threshold ε, an ε-core is a subset C of states that is
left with probability at most ε. More formally, C ⊆ V is an ε-core, iff ℙ[reach
(V\C)] ≤ ε. Cores have been applied in a wide variety of verification problems
over Markov chains, Markov decision processes, and probabilistic programs, as
a means of discarding uninteresting and low-probability parts of a probabilistic
system and instead being able to focus on the states that are likely to be encountered
in a real-world run. In this work, we focus on the problem of computing a minimal
ε-core in a Markov chain. Our contributions include both negative and positive
results: (i) We show that the decision problem on the existence of an ε-core of
a given size is NP-complete. This solves an open problem posed in [Jan Kretínský
and Tobias Meggendorfer, 2020]. We additionally show that the problem remains
NP-complete even when limited to acyclic Markov chains with bounded maximal vertex
degree; (ii) We provide a polynomial time algorithm for computing a minimal ε-core
on Markov chains over control-flow graphs of structured programs. A straightforward
combination of our algorithm with standard branch prediction techniques allows
one to apply the idea of cores to find a subset of program lines that are left
with low probability and then focus any desired static analysis on this core subset.'
acknowledgement: "The research was partially supported by the Hong Kong Research Grants
Council ECS\r\nProject No. 26208122, ERC CoG 863818 (FoRM-SMArt), the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 665385, HKUST– Kaisa Joint Research Institute Project Grant
HKJRI3A-055 and HKUST Startup Grant R9272. Ali Ahmadi and Roodabeh Safavi were interns
at HKUST."
article_number: '29'
article_processing_charge: No
author:
- first_name: Ali
full_name: Ahmadi, Ali
last_name: Ahmadi
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Roodabeh
full_name: Safavi Hemami, Roodabeh
id: 72ed2640-8972-11ed-ae7b-f9c81ec75154
last_name: Safavi Hemami
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
D. Algorithms and hardness results for computing cores of Markov chains. In: 42nd
IARCS Annual Conference on Foundations of Software Technology and Theoretical
Computer Science. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2022. doi:10.4230/LIPIcs.FSTTCS.2022.29'
apa: 'Ahmadi, A., Chatterjee, K., Goharshady, A. K., Meggendorfer, T., Safavi Hemami,
R., & Zikelic, D. (2022). Algorithms and hardness results for computing cores
of Markov chains. In 42nd IARCS Annual Conference on Foundations of Software
Technology and Theoretical Computer Science (Vol. 250). Madras, India: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29'
chicago: Ahmadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Tobias Meggendorfer,
Roodabeh Safavi Hemami, and Dorde Zikelic. “Algorithms and Hardness Results for
Computing Cores of Markov Chains.” In 42nd IARCS Annual Conference on Foundations
of Software Technology and Theoretical Computer Science, Vol. 250. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2022. https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29.
ieee: A. Ahmadi, K. Chatterjee, A. K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
and D. Zikelic, “Algorithms and hardness results for computing cores of Markov
chains,” in 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, Madras, India, 2022, vol. 250.
ista: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
D. 2022. Algorithms and hardness results for computing cores of Markov chains.
42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical
Computer Science. FSTTCS: Foundations of Software Technology and Theoretical Computer
Science vol. 250, 29.'
mla: Ahmadi, Ali, et al. “Algorithms and Hardness Results for Computing Cores of
Markov Chains.” 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, vol. 250, 29, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2022, doi:10.4230/LIPIcs.FSTTCS.2022.29.
short: A. Ahmadi, K. Chatterjee, A.K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
D. Zikelic, in:, 42nd IARCS Annual Conference on Foundations of Software Technology
and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2022.
conference:
end_date: 2022-12-20
location: Madras, India
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2022-12-18
corr_author: '1'
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2025-07-10T11:50:23Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
doi: 10.4230/LIPIcs.FSTTCS.2022.29
ec_funded: 1
file:
- access_level: open_access
checksum: 6660c802489013f034c9e8bd57f4d46e
content_type: application/pdf
creator: dernst
date_created: 2023-01-20T10:39:44Z
date_updated: 2023-01-20T10:39:44Z
file_id: '12324'
file_name: 2022_LIPICs_Ahmadi.pdf
file_size: 872534
relation: main_file
success: 1
file_date_updated: 2023-01-20T10:39:44Z
has_accepted_license: '1'
intvolume: ' 250'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: 42nd IARCS Annual Conference on Foundations of Software Technology and
Theoretical Computer Science
publication_identifier:
isbn:
- '9783959772617'
issn:
- 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Algorithms and hardness results for computing cores of Markov chains
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
year: '2022'
...
---
_id: '12000'
abstract:
- lang: eng
text: "We consider the quantitative problem of obtaining lower-bounds on the probability
of termination of a given non-deterministic probabilistic program. Specifically,
given a non-termination threshold p∈[0,1], we aim for certificates proving that
the program terminates with probability at least 1−p. The basic idea of our approach
is to find a terminating stochastic invariant, i.e. a subset SI of program states
such that (i) the probability of the program ever leaving SI is no more than p,
and (ii) almost-surely, the program either leaves SI or terminates.\r\n\r\nWhile
stochastic invariants are already well-known, we provide the first proof that
the idea above is not only sound, but also complete for quantitative termination
analysis. We then introduce a novel sound and complete characterization of stochastic
invariants that enables template-based approaches for easy synthesis of quantitative
termination certificates, especially in affine or polynomial forms. Finally, by
combining this idea with the existing martingale-based methods that are relatively
complete for qualitative termination analysis, we obtain the first automated,
sound, and relatively complete algorithm for quantitative termination analysis.
Notably, our completeness guarantees for quantitative termination analysis are
as strong as the best-known methods for the qualitative variant.\r\n\r\nOur prototype
implementation demonstrates the effectiveness of our approach on various probabilistic
programs. We also demonstrate that our algorithm certifies lower bounds on termination
probability for probabilistic programs that are beyond the reach of previous methods."
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
the HKUST-Kaisa Joint Research Institute Project Grant HKJRI3A-055, the HKUST Startup
Grant R9272 and the European Union’s Horizon 2020 research and innovation programme
under the Marie Skłodowska-Curie Grant Agreement No. 665385.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Dorde
full_name: Zikelic, Dorde
id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
last_name: Zikelic
orcid: 0000-0002-4681-1699
citation:
ama: 'Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. Sound and complete
certificates for auantitative termination analysis of probabilistic programs.
In: Proceedings of the 34th International Conference on Computer Aided Verification.
Vol 13371. Springer; 2022:55-78. doi:10.1007/978-3-031-13185-1_4'
apa: 'Chatterjee, K., Goharshady, A. K., Meggendorfer, T., & Zikelic, D. (2022).
Sound and complete certificates for auantitative termination analysis of probabilistic
programs. In Proceedings of the 34th International Conference on Computer Aided
Verification (Vol. 13371, pp. 55–78). Haifa, Israel: Springer. https://doi.org/10.1007/978-3-031-13185-1_4'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Tobias Meggendorfer,
and Dorde Zikelic. “Sound and Complete Certificates for Auantitative Termination
Analysis of Probabilistic Programs.” In Proceedings of the 34th International
Conference on Computer Aided Verification, 13371:55–78. Springer, 2022. https://doi.org/10.1007/978-3-031-13185-1_4.
ieee: K. Chatterjee, A. K. Goharshady, T. Meggendorfer, and D. Zikelic, “Sound and complete
certificates for auantitative termination analysis of probabilistic programs,”
in Proceedings of the 34th International Conference on Computer Aided Verification,
Haifa, Israel, 2022, vol. 13371, pp. 55–78.
ista: 'Chatterjee K, Goharshady AK, Meggendorfer T, Zikelic D. 2022. Sound and complete
certificates for auantitative termination analysis of probabilistic programs.
Proceedings of the 34th International Conference on Computer Aided Verification.
CAV: Computer Aided Verification, LNCS, vol. 13371, 55–78.'
mla: Chatterjee, Krishnendu, et al. “Sound and Complete Certificates for Auantitative
Termination Analysis of Probabilistic Programs.” Proceedings of the 34th International
Conference on Computer Aided Verification, vol. 13371, Springer, 2022, pp.
55–78, doi:10.1007/978-3-031-13185-1_4.
short: K. Chatterjee, A.K. Goharshady, T. Meggendorfer, D. Zikelic, in:, Proceedings
of the 34th International Conference on Computer Aided Verification, Springer,
2022, pp. 55–78.
conference:
end_date: 2022-08-10
location: Haifa, Israel
name: 'CAV: Computer Aided Verification'
start_date: 2022-08-07
date_created: 2022-08-28T22:02:02Z
date_published: 2022-08-07T00:00:00Z
date_updated: 2026-04-07T13:27:55Z
day: '07'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-031-13185-1_4
ec_funded: 1
external_id:
isi:
- '000870304500004'
file:
- access_level: open_access
checksum: 24e0f810ec52735a90ade95198bc641d
content_type: application/pdf
creator: alisjak
date_created: 2022-08-29T09:17:01Z
date_updated: 2022-08-29T09:17:01Z
file_id: '12003'
file_name: 2022_LNCS_Chatterjee.pdf
file_size: 505094
relation: main_file
success: 1
file_date_updated: 2022-08-29T09:17:01Z
has_accepted_license: '1'
intvolume: ' 13371'
isi: 1
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 55-78
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
publication: Proceedings of the 34th International Conference on Computer Aided Verification
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783031131844'
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Sound and complete certificates for auantitative termination analysis of probabilistic
programs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13371
year: '2022'
...
---
_id: '9645'
abstract:
- lang: eng
text: "We consider the fundamental problem of reachability analysis over imperative
programs with real variables. Previous works that tackle reachability are either
unable to handle programs consisting of general loops (e.g. symbolic execution),
or lack completeness guarantees (e.g. abstract interpretation), or are not automated
(e.g. incorrectness logic). In contrast, we propose a novel approach for reachability
analysis that can handle general and complex loops, is complete, and can be entirely
automated for a wide family of programs. Through the notion of Inductive Reachability
Witnesses (IRWs), our approach extends ideas from both invariant generation and
termination to reachability analysis.\r\n\r\nWe first show that our IRW-based
approach is sound and complete for reachability analysis of imperative programs.
Then, we focus on linear and polynomial programs and develop automated methods
for synthesizing linear and polynomial IRWs. In the linear case, we follow the
well-known approaches using Farkas' Lemma. Our main contribution is in the polynomial
case, where we present a push-button semi-complete algorithm. We achieve this
using a novel combination of classical theorems in real algebraic geometry, such
as Putinar's Positivstellensatz and Hilbert's Strong Nullstellensatz. Finally,
our experimental results show we can prove complex reachability objectives over
various benchmarks that were beyond the reach of previous methods."
acknowledgement: This research was partially supported by the ERC CoG 863818 (ForM-SMArt),
the National Natural Science Foundation of China (NSFC) Grant No. 61802254, the
Huawei Innovation Research Program, the Facebook PhD Fellowship Program, and DOC
Fellowship No. 24956 of the Austrian Academy of Sciences (ÖAW).
article_processing_charge: No
author:
- first_name: Ali
full_name: Asadi, Ali
last_name: Asadi
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Mohammad
full_name: Mahdavi, Mohammad
last_name: Mahdavi
citation:
ama: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. Polynomial reachability
witnesses via Stellensätze. In: Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation. Association
for Computing Machinery; 2021:772-787. doi:10.1145/3453483.3454076'
apa: 'Asadi, A., Chatterjee, K., Fu, H., Goharshady, A. K., & Mahdavi, M. (2021).
Polynomial reachability witnesses via Stellensätze. In Proceedings of the 42nd
ACM SIGPLAN International Conference on Programming Language Design and Implementation
(pp. 772–787). Online: Association for Computing Machinery. https://doi.org/10.1145/3453483.3454076'
chicago: Asadi, Ali, Krishnendu Chatterjee, Hongfei Fu, Amir Kafshdar Goharshady,
and Mohammad Mahdavi. “Polynomial Reachability Witnesses via Stellensätze.” In
Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, 772–87. Association for Computing Machinery,
2021. https://doi.org/10.1145/3453483.3454076.
ieee: A. Asadi, K. Chatterjee, H. Fu, A. K. Goharshady, and M. Mahdavi, “Polynomial
reachability witnesses via Stellensätze,” in Proceedings of the 42nd ACM SIGPLAN
International Conference on Programming Language Design and Implementation,
Online, 2021, pp. 772–787.
ista: 'Asadi A, Chatterjee K, Fu H, Goharshady AK, Mahdavi M. 2021. Polynomial reachability
witnesses via Stellensätze. Proceedings of the 42nd ACM SIGPLAN International
Conference on Programming Language Design and Implementation. PLDI: Programming
Language Design and Implementation, 772–787.'
mla: Asadi, Ali, et al. “Polynomial Reachability Witnesses via Stellensätze.” Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 772–87,
doi:10.1145/3453483.3454076.
short: A. Asadi, K. Chatterjee, H. Fu, A.K. Goharshady, M. Mahdavi, in:, Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 772–787.
conference:
end_date: 2021-06-26
location: Online
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2021-06-20
date_created: 2021-07-11T22:01:17Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-07-10T12:02:00Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454076
ec_funded: 1
external_id:
isi:
- '000723661700050'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-03183862/
month: '06'
oa: 1
oa_version: Submitted Version
page: 772-787
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Polynomial reachability witnesses via Stellensätze
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '9646'
abstract:
- lang: eng
text: We consider the fundamental problem of deriving quantitative bounds on the
probability that a given assertion is violated in a probabilistic program. We
provide automated algorithms that obtain both lower and upper bounds on the assertion
violation probability. The main novelty of our approach is that we prove new and
dedicated fixed-point theorems which serve as the theoretical basis of our algorithms
and enable us to reason about assertion violation bounds in terms of pre and post
fixed-point functions. To synthesize such fixed-points, we devise algorithms that
utilize a wide range of mathematical tools, including repulsing ranking supermartingales,
Hoeffding's lemma, Minkowski decompositions, Jensen's inequality, and convex optimization.
On the theoretical side, we provide (i) the first automated algorithm for lower-bounds
on assertion violation probabilities, (ii) the first complete algorithm for upper-bounds
of exponential form in affine programs, and (iii) provably and significantly tighter
upper-bounds than the previous approaches. On the practical side, we show our
algorithms can handle a wide variety of programs from the literature and synthesize
bounds that are remarkably tighter than previous results, in some cases by thousands
of orders of magnitude.
acknowledgement: 'We are very thankful to the anonymous reviewers for the helpful
and valuable comments. The work was partially supported by the National Natural
Science Foundation of China (NSFC) Grant No. 61802254, the Huawei Innovation Research
Program, the ERC CoG 863818 (ForM-SMArt), the Facebook PhD Fellowship Program and
DOC Fellowship #24956 of the Austrian Academy of Sciences (ÖAW).'
article_processing_charge: No
arxiv: 1
author:
- first_name: Jinyi
full_name: Wang, Jinyi
last_name: Wang
- first_name: Yican
full_name: Sun, Yican
last_name: Sun
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. Quantitative analysis of
assertion violations in probabilistic programs. In: Proceedings of the 42nd
ACM SIGPLAN International Conference on Programming Language Design and Implementation.
Association for Computing Machinery; 2021:1171-1186. doi:10.1145/3453483.3454102'
apa: 'Wang, J., Sun, Y., Fu, H., Chatterjee, K., & Goharshady, A. K. (2021).
Quantitative analysis of assertion violations in probabilistic programs. In Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation (pp. 1171–1186). Online: Association for Computing Machinery.
https://doi.org/10.1145/3453483.3454102'
chicago: Wang, Jinyi, Yican Sun, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar
Goharshady. “Quantitative Analysis of Assertion Violations in Probabilistic Programs.”
In Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation, 1171–86. Association for Computing Machinery,
2021. https://doi.org/10.1145/3453483.3454102.
ieee: J. Wang, Y. Sun, H. Fu, K. Chatterjee, and A. K. Goharshady, “Quantitative
analysis of assertion violations in probabilistic programs,” in Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Online, 2021, pp. 1171–1186.
ista: 'Wang J, Sun Y, Fu H, Chatterjee K, Goharshady AK. 2021. Quantitative analysis
of assertion violations in probabilistic programs. Proceedings of the 42nd ACM
SIGPLAN International Conference on Programming Language Design and Implementation.
PLDI: Programming Language Design and Implementation, 1171–1186.'
mla: Wang, Jinyi, et al. “Quantitative Analysis of Assertion Violations in Probabilistic
Programs.” Proceedings of the 42nd ACM SIGPLAN International Conference on
Programming Language Design and Implementation, Association for Computing
Machinery, 2021, pp. 1171–86, doi:10.1145/3453483.3454102.
short: J. Wang, Y. Sun, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings
of the 42nd ACM SIGPLAN International Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2021, pp. 1171–1186.
conference:
end_date: 2021-06-26
location: Online
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2021-06-20
date_created: 2021-07-11T22:01:18Z
date_published: 2021-06-01T00:00:00Z
date_updated: 2025-04-15T07:55:05Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3453483.3454102
ec_funded: 1
external_id:
arxiv:
- '2011.14617'
isi:
- '000723661700076'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2011.14617
month: '06'
oa: 1
oa_version: Preprint
page: 1171-1186
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
call_identifier: H2020
grant_number: '863818'
name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
publication: Proceedings of the 42nd ACM SIGPLAN International Conference on Programming
Language Design and Implementation
publication_identifier:
isbn:
- '9781450383912'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative analysis of assertion violations in probabilistic programs
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2021'
...
---
OA_place: publisher
_id: '8934'
abstract:
- lang: eng
text: "In this thesis, we consider several of the most classical and fundamental
problems in static analysis and formal verification, including invariant generation,
reachability analysis, termination analysis of probabilistic programs, data-flow
analysis, quantitative analysis of Markov chains and Markov decision processes,
and the problem of data packing in cache management.\r\nWe use techniques from
parameterized complexity theory, polyhedral geometry, and real algebraic geometry
to significantly improve the state-of-the-art, in terms of both scalability and
completeness guarantees, for the mentioned problems. In some cases, our results
are the first theoretical improvements for the respective problems in two or three
decades."
acknowledgement: 'The research was partially supported by an IBM PhD fellowship, a
Facebook PhD fellowship, and DOC fellowship #24956 of the Austrian Academy of Sciences
(OeAW).'
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: Goharshady AK. Parameterized and algebro-geometric advances in static program
analysis. 2021. doi:10.15479/AT:ISTA:8934
apa: Goharshady, A. K. (2021). Parameterized and algebro-geometric advances in
static program analysis. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8934
chicago: Goharshady, Amir Kafshdar. “Parameterized and Algebro-Geometric Advances
in Static Program Analysis.” Institute of Science and Technology Austria, 2021.
https://doi.org/10.15479/AT:ISTA:8934.
ieee: A. K. Goharshady, “Parameterized and algebro-geometric advances in static
program analysis,” Institute of Science and Technology Austria, 2021.
ista: Goharshady AK. 2021. Parameterized and algebro-geometric advances in static
program analysis. Institute of Science and Technology Austria.
mla: Goharshady, Amir Kafshdar. Parameterized and Algebro-Geometric Advances
in Static Program Analysis. Institute of Science and Technology Austria, 2021,
doi:10.15479/AT:ISTA:8934.
short: A.K. Goharshady, Parameterized and Algebro-Geometric Advances in Static Program
Analysis, Institute of Science and Technology Austria, 2021.
corr_author: '1'
date_created: 2020-12-10T12:17:07Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2026-04-16T10:07:18Z
day: '01'
ddc:
- '005'
degree_awarded: PhD
department:
- _id: KrCh
- _id: GradSch
doi: 10.15479/AT:ISTA:8934
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name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication_identifier:
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
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relation: part_of_dissertation
status: public
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relation: part_of_dissertation
status: public
- id: '6918'
relation: part_of_dissertation
status: public
- id: '7810'
relation: part_of_dissertation
status: public
- id: '949'
relation: part_of_dissertation
status: public
status: public
supervisor:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
title: Parameterized and algebro-geometric advances in static program analysis
tmp:
image: /images/cc_0.png
legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode
name: Creative Commons Public Domain Dedication (CC0 1.0)
short: CC0 (1.0)
type: dissertation
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
year: '2021'
...
---
_id: '8671'
abstract:
- lang: eng
text: 'We study relations between evidence theory and S-approximation spaces. Both
theories have their roots in the analysis of Dempsterchr(''39'')s multivalued
mappings and lower and upper probabilities, and have close relations to rough
sets. We show that an S-approximation space, satisfying a monotonicity condition,
can induce a natural belief structure which is a fundamental block in evidence
theory. We also demonstrate that one can induce a natural belief structure on
one set, given a belief structure on another set, if the two sets are related
by a partial monotone S-approximation space. '
acknowledgement: We are very grateful to the anonymous reviewer for detailed comments
and suggestions that significantly improved the presentation of this paper. The
research was partially supported by a DOC fellowship of the Austrian Academy of
Sciences.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: A.
full_name: Shakiba, A.
last_name: Shakiba
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: M.R.
full_name: Hooshmandasl, M.R.
last_name: Hooshmandasl
- first_name: M.
full_name: Alambardar Meybodi, M.
last_name: Alambardar Meybodi
citation:
ama: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on
belief structures and s-approximation spaces. Iranian Journal of Mathematical
Sciences and Informatics. 2020;15(2):117-128. doi:10.29252/ijmsi.15.2.117
apa: Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., & Alambardar Meybodi,
M. (2020). A note on belief structures and s-approximation spaces. Iranian
Journal of Mathematical Sciences and Informatics. Iranian Academic Center
for Education, Culture and Research. https://doi.org/10.29252/ijmsi.15.2.117
chicago: Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar
Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” Iranian
Journal of Mathematical Sciences and Informatics. Iranian Academic Center
for Education, Culture and Research, 2020. https://doi.org/10.29252/ijmsi.15.2.117.
ieee: A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi,
“A note on belief structures and s-approximation spaces,” Iranian Journal of
Mathematical Sciences and Informatics, vol. 15, no. 2. Iranian Academic Center
for Education, Culture and Research, pp. 117–128, 2020.
ista: Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. 2020. A note
on belief structures and s-approximation spaces. Iranian Journal of Mathematical
Sciences and Informatics. 15(2), 117–128.
mla: Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.”
Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no.
2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28,
doi:10.29252/ijmsi.15.2.117.
short: A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian
Journal of Mathematical Sciences and Informatics 15 (2020) 117–128.
date_created: 2020-10-18T22:01:36Z
date_published: 2020-10-01T00:00:00Z
date_updated: 2025-04-15T07:55:04Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.29252/ijmsi.15.2.117
external_id:
arxiv:
- '1805.10672'
file:
- access_level: open_access
checksum: f299661a6d51cda6d255a76be696f48d
content_type: application/pdf
creator: dernst
date_created: 2020-10-19T11:14:20Z
date_updated: 2020-10-19T11:14:20Z
file_id: '8676'
file_name: 2020_ijmsi_Shakiba_accepted.pdf
file_size: 261688
relation: main_file
success: 1
file_date_updated: 2020-10-19T11:14:20Z
has_accepted_license: '1'
intvolume: ' 15'
issue: '2'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 117-128
project:
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
publication: Iranian Journal of Mathematical Sciences and Informatics
publication_identifier:
eissn:
- 2008-9473
issn:
- 1735-4463
publication_status: published
publisher: Iranian Academic Center for Education, Culture and Research
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on belief structures and s-approximation spaces
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2020'
...
---
_id: '7810'
abstract:
- lang: eng
text: "Interprocedural data-flow analyses form an expressive and useful paradigm
of numerous static analysis applications, such as live variables analysis, alias
analysis and null pointers analysis. The most widely-used framework for interprocedural
data-flow analysis is IFDS, which encompasses distributive data-flow functions
over a finite domain. On-demand data-flow analyses restrict the focus of the analysis
on specific program locations and data facts. This setting provides a natural
split between (i) an offline (or preprocessing) phase, where the program is partially
analyzed and analysis summaries are created, and (ii) an online (or query) phase,
where analysis queries arrive on demand and the summaries are used to speed up
answering queries.\r\nIn this work, we consider on-demand IFDS analyses where
the queries concern program locations of the same procedure (aka same-context
queries). We exploit the fact that flow graphs of programs have low treewidth
to develop faster algorithms that are space and time optimal for many common data-flow
analyses, in both the preprocessing and the query phase. We also use treewidth
to develop query solutions that are embarrassingly parallelizable, i.e. the total
work for answering each query is split to a number of threads such that each thread
performs only a constant amount of work. Finally, we implement a static analyzer
based on our algorithms, and perform a series of on-demand analysis experiments
on standard benchmarks. Our experimental results show a drastic speed-up of the
queries after only a lightweight preprocessing phase, which significantly outperforms
existing techniques."
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. Optimal and perfectly
parallel algorithms for on-demand data-flow analysis. In: European Symposium
on Programming. Vol 12075. Springer Nature; 2020:112-140. doi:10.1007/978-3-030-44914-8_5'
apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Pavlogiannis, A.
(2020). Optimal and perfectly parallel algorithms for on-demand data-flow analysis.
In European Symposium on Programming (Vol. 12075, pp. 112–140). Dublin,
Ireland: Springer Nature. https://doi.org/10.1007/978-3-030-44914-8_5'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
and Andreas Pavlogiannis. “Optimal and Perfectly Parallel Algorithms for On-Demand
Data-Flow Analysis.” In European Symposium on Programming, 12075:112–40.
Springer Nature, 2020. https://doi.org/10.1007/978-3-030-44914-8_5.
ieee: K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and A. Pavlogiannis, “Optimal
and perfectly parallel algorithms for on-demand data-flow analysis,” in European
Symposium on Programming, Dublin, Ireland, 2020, vol. 12075, pp. 112–140.
ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Pavlogiannis A. 2020. Optimal
and perfectly parallel algorithms for on-demand data-flow analysis. European Symposium
on Programming. ESOP: Programming Languages and Systems, LNCS, vol. 12075, 112–140.'
mla: Chatterjee, Krishnendu, et al. “Optimal and Perfectly Parallel Algorithms for
On-Demand Data-Flow Analysis.” European Symposium on Programming, vol.
12075, Springer Nature, 2020, pp. 112–40, doi:10.1007/978-3-030-44914-8_5.
short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, A. Pavlogiannis, in:, European
Symposium on Programming, Springer Nature, 2020, pp. 112–140.
conference:
end_date: 2020-04-30
location: Dublin, Ireland
name: 'ESOP: Programming Languages and Systems'
start_date: 2020-04-25
corr_author: '1'
date_created: 2020-05-10T22:00:50Z
date_published: 2020-04-18T00:00:00Z
date_updated: 2026-04-27T22:31:01Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-44914-8_5
external_id:
isi:
- '000681656800005'
file:
- access_level: open_access
checksum: 8618b80f4cf7b39a60e61a6445ad9807
content_type: application/pdf
creator: dernst
date_created: 2020-05-26T13:34:48Z
date_updated: 2020-07-14T12:48:03Z
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file_name: 2020_LNCS_Chatterjee.pdf
file_size: 651250
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has_accepted_license: '1'
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isi: 1
language:
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month: '04'
oa: 1
oa_version: Published Version
page: 112-140
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
publication: European Symposium on Programming
publication_identifier:
eissn:
- 1611-3349
isbn:
- '9783030449131'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
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title: Optimal and perfectly parallel algorithms for on-demand data-flow analysis
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 12075
year: '2020'
...
---
_id: '8728'
abstract:
- lang: eng
text: Discrete-time Markov Chains (MCs) and Markov Decision Processes (MDPs) are
two standard formalisms in system analysis. Their main associated quantitative
objectives are hitting probabilities, discounted sum, and mean payoff. Although
there are many techniques for computing these objectives in general MCs/MDPs,
they have not been thoroughly studied in terms of parameterized algorithms, particularly
when treewidth is used as the parameter. This is in sharp contrast to qualitative
objectives for MCs, MDPs and graph games, for which treewidth-based algorithms
yield significant complexity improvements. In this work, we show that treewidth
can also be used to obtain faster algorithms for the quantitative problems. For
an MC with n states and m transitions, we show that each of the classical quantitative
objectives can be computed in O((n+m)⋅t2) time, given a tree decomposition
of the MC with width t. Our results also imply a bound of O(κ⋅(n+m)⋅t2) for
each objective on MDPs, where κ is the number of strategy-iteration refinements
required for the given input and objective. Finally, we make an experimental evaluation
of our new algorithms on low-treewidth MCs and MDPs obtained from the DaCapo benchmark
suite. Our experiments show that on low-treewidth MCs and MDPs, our algorithms
outperform existing well-established methods by one or more orders of magnitude.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Ali
full_name: Asadi, Ali
last_name: Asadi
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Kiarash
full_name: Mohammadi, Kiarash
last_name: Mohammadi
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. Faster
algorithms for quantitative analysis of MCs and MDPs with small treewidth. In:
Automated Technology for Verification and Analysis. Vol 12302. Springer
Nature; 2020:253-270. doi:10.1007/978-3-030-59152-6_14'
apa: 'Asadi, A., Chatterjee, K., Goharshady, A. K., Mohammadi, K., & Pavlogiannis,
A. (2020). Faster algorithms for quantitative analysis of MCs and MDPs with small
treewidth. In Automated Technology for Verification and Analysis (Vol.
12302, pp. 253–270). Hanoi, Vietnam: Springer Nature. https://doi.org/10.1007/978-3-030-59152-6_14'
chicago: Asadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Kiarash Mohammadi,
and Andreas Pavlogiannis. “Faster Algorithms for Quantitative Analysis of MCs
and MDPs with Small Treewidth.” In Automated Technology for Verification and
Analysis, 12302:253–70. Springer Nature, 2020. https://doi.org/10.1007/978-3-030-59152-6_14.
ieee: A. Asadi, K. Chatterjee, A. K. Goharshady, K. Mohammadi, and A. Pavlogiannis,
“Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth,”
in Automated Technology for Verification and Analysis, Hanoi, Vietnam,
2020, vol. 12302, pp. 253–270.
ista: 'Asadi A, Chatterjee K, Goharshady AK, Mohammadi K, Pavlogiannis A. 2020.
Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth.
Automated Technology for Verification and Analysis. ATVA: Automated Technology
for Verification and Analysis, LNCS, vol. 12302, 253–270.'
mla: Asadi, Ali, et al. “Faster Algorithms for Quantitative Analysis of MCs and
MDPs with Small Treewidth.” Automated Technology for Verification and Analysis,
vol. 12302, Springer Nature, 2020, pp. 253–70, doi:10.1007/978-3-030-59152-6_14.
short: A. Asadi, K. Chatterjee, A.K. Goharshady, K. Mohammadi, A. Pavlogiannis,
in:, Automated Technology for Verification and Analysis, Springer Nature, 2020,
pp. 253–270.
conference:
end_date: 2020-10-23
location: Hanoi, Vietnam
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2020-10-19
date_created: 2020-11-06T07:30:05Z
date_published: 2020-10-12T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '12'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-030-59152-6_14
external_id:
isi:
- '000723555700014'
file:
- access_level: open_access
checksum: ae83f27e5b189d5abc2e7514f1b7e1b5
content_type: application/pdf
creator: dernst
date_created: 2020-11-06T07:41:03Z
date_updated: 2020-11-06T07:41:03Z
file_id: '8729'
file_name: 2020_LNCS_ATVA_Asadi_accepted.pdf
file_size: 726648
relation: main_file
success: 1
file_date_updated: 2020-11-06T07:41:03Z
has_accepted_license: '1'
intvolume: ' 12302'
isi: 1
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 253-270
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
publication: Automated Technology for Verification and Analysis
publication_identifier:
eisbn:
- '9783030591526'
eissn:
- 1611-3349
isbn:
- '9783030591519'
issn:
- 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Faster algorithms for quantitative analysis of MCs and MDPs with small treewidth
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 12302
year: '2020'
...
---
_id: '8089'
abstract:
- lang: eng
text: "We consider the classical problem of invariant generation for programs with
polynomial assignments and focus on synthesizing invariants that are a conjunction
of strict polynomial inequalities. We present a sound and semi-complete method
based on positivstellensaetze, i.e. theorems in semi-algebraic geometry that characterize
positive polynomials over a semi-algebraic set.\r\n\r\nOn the theoretical side,
the worst-case complexity of our approach is subexponential, whereas the worst-case
complexity of the previous complete method (Kapur, ACA 2004) is doubly-exponential.
Even when restricted to linear invariants, the best previous complexity for complete
invariant generation is exponential (Colon et al, CAV 2003). On the practical
side, we reduce the invariant generation problem to quadratic programming (QCLP),
which is a classical optimization problem with many industrial solvers. We demonstrate
the applicability of our approach by providing experimental results on several
academic benchmarks. To the best of our knowledge, the only previous invariant
generation method that provides completeness guarantees for invariants consisting
of polynomial inequalities is (Kapur, ACA 2004), which relies on quantifier elimination
and cannot even handle toy programs such as our running example."
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Ehsan Kafshdar
full_name: Goharshady, Ehsan Kafshdar
last_name: Goharshady
citation:
ama: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. Polynomial invariant generation
for non-deterministic recursive programs. In: Proceedings of the 41st ACM SIGPLAN
Conference on Programming Language Design and Implementation. Association
for Computing Machinery; 2020:672-687. doi:10.1145/3385412.3385969'
apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., & Goharshady, E. K. (2020).
Polynomial invariant generation for non-deterministic recursive programs. In Proceedings
of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation
(pp. 672–687). London, United Kingdom: Association for Computing Machinery. https://doi.org/10.1145/3385412.3385969'
chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Ehsan
Kafshdar Goharshady. “Polynomial Invariant Generation for Non-Deterministic Recursive
Programs.” In Proceedings of the 41st ACM SIGPLAN Conference on Programming
Language Design and Implementation, 672–87. Association for Computing Machinery,
2020. https://doi.org/10.1145/3385412.3385969.
ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and E. K. Goharshady, “Polynomial
invariant generation for non-deterministic recursive programs,” in Proceedings
of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation,
London, United Kingdom, 2020, pp. 672–687.
ista: 'Chatterjee K, Fu H, Goharshady AK, Goharshady EK. 2020. Polynomial invariant
generation for non-deterministic recursive programs. Proceedings of the 41st ACM
SIGPLAN Conference on Programming Language Design and Implementation. PLDI: Programming
Language Design and Implementation, 672–687.'
mla: Chatterjee, Krishnendu, et al. “Polynomial Invariant Generation for Non-Deterministic
Recursive Programs.” Proceedings of the 41st ACM SIGPLAN Conference on Programming
Language Design and Implementation, Association for Computing Machinery, 2020,
pp. 672–87, doi:10.1145/3385412.3385969.
short: K. Chatterjee, H. Fu, A.K. Goharshady, E.K. Goharshady, in:, Proceedings
of the 41st ACM SIGPLAN Conference on Programming Language Design and Implementation,
Association for Computing Machinery, 2020, pp. 672–687.
conference:
end_date: 2020-06-20
location: London, United Kingdom
name: 'PLDI: Programming Language Design and Implementation'
start_date: 2020-06-15
date_created: 2020-07-05T22:00:45Z
date_published: 2020-06-11T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '11'
department:
- _id: KrCh
doi: 10.1145/3385412.3385969
external_id:
arxiv:
- '1902.04373'
isi:
- '000614622300045'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1902.04373
month: '06'
oa: 1
oa_version: Preprint
page: 672-687
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 41st ACM SIGPLAN Conference on Programming Language
Design and Implementation
publication_identifier:
isbn:
- '9781450376136'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Polynomial invariant generation for non-deterministic recursive programs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2020'
...
---
_id: '6918'
abstract:
- lang: eng
text: "We consider the classic problem of Network Reliability. A network is given
together with a source vertex, one or more target vertices, and probabilities
assigned to each of the edges. Each edge of the network is operable with its associated
probability and the problem is to determine the probability of having at least
one source-to-target path that is entirely composed of operable edges. This problem
is known to be NP-hard.\r\n\r\nWe provide a novel scalable algorithm to solve
the Network Reliability problem when the treewidth of the underlying network is
small. We also show our algorithm’s applicability for real-world transit networks
that have small treewidth, including the metro networks of major cities, such
as London and Tokyo. Our algorithm leverages tree decompositions to shrink the
original graph into much smaller graphs, for which reliability can be efficiently
and exactly computed using a brute force method. To the best of our knowledge,
this is the first exact algorithm for Network Reliability that can scale to handle
real-world instances of the problem."
acknowledgement: We are grateful to the anonymous reviewers for their comments, which
significantly improved the present work. The research was partially supported by
the EPSRC Early Career Fellowship EP/R023379/1, grant no. SC7-1718-01 of the London
Mathematical Society, an IBM PhD Fellowship, and a DOC Fellowship of the Austrian
Academy of Sciences (ÖAW).
article_number: '106665'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Fatemeh
full_name: Mohammadi, Fatemeh
last_name: Mohammadi
citation:
ama: Goharshady AK, Mohammadi F. An efficient algorithm for computing network reliability
in small treewidth. Reliability Engineering and System Safety. 2020;193.
doi:10.1016/j.ress.2019.106665
apa: Goharshady, A. K., & Mohammadi, F. (2020). An efficient algorithm for computing
network reliability in small treewidth. Reliability Engineering and System
Safety. Elsevier. https://doi.org/10.1016/j.ress.2019.106665
chicago: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm
for Computing Network Reliability in Small Treewidth.” Reliability Engineering
and System Safety. Elsevier, 2020. https://doi.org/10.1016/j.ress.2019.106665.
ieee: A. K. Goharshady and F. Mohammadi, “An efficient algorithm for computing network
reliability in small treewidth,” Reliability Engineering and System Safety,
vol. 193. Elsevier, 2020.
ista: Goharshady AK, Mohammadi F. 2020. An efficient algorithm for computing network
reliability in small treewidth. Reliability Engineering and System Safety. 193,
106665.
mla: Goharshady, Amir Kafshdar, and Fatemeh Mohammadi. “An Efficient Algorithm for
Computing Network Reliability in Small Treewidth.” Reliability Engineering
and System Safety, vol. 193, 106665, Elsevier, 2020, doi:10.1016/j.ress.2019.106665.
short: A.K. Goharshady, F. Mohammadi, Reliability Engineering and System Safety
193 (2020).
date_created: 2019-09-29T22:00:44Z
date_published: 2020-01-01T00:00:00Z
date_updated: 2026-04-27T22:31:01Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.ress.2019.106665
external_id:
arxiv:
- '1712.09692'
isi:
- '000501641400050'
intvolume: ' 193'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1712.09692
month: '01'
oa: 1
oa_version: Preprint
project:
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication: Reliability Engineering and System Safety
publication_identifier:
issn:
- 0951-8320
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: An efficient algorithm for computing network reliability in small treewidth
type: journal_article
user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd
volume: 193
year: '2020'
...
---
_id: '6780'
abstract:
- lang: eng
text: "In this work, we consider the almost-sure termination problem for probabilistic
programs that asks whether a\r\ngiven probabilistic program terminates with probability
1. Scalable approaches for program analysis often\r\nrely on modularity as their
theoretical basis. In non-probabilistic programs, the classical variant rule (V-rule)\r\nof
Floyd-Hoare logic provides the foundation for modular analysis. Extension of this
rule to almost-sure\r\ntermination of probabilistic programs is quite tricky,
and a probabilistic variant was proposed in [16]. While the\r\nproposed probabilistic
variant cautiously addresses the key issue of integrability, we show that the
proposed\r\nmodular rule is still not sound for almost-sure termination of probabilistic
programs.\r\nBesides establishing unsoundness of the previous rule, our contributions
are as follows: First, we present a\r\nsound modular rule for almost-sure termination
of probabilistic programs. Our approach is based on a novel\r\nnotion of descent
supermartingales. Second, for algorithmic approaches, we consider descent supermartingales\r\nthat
are linear and show that they can be synthesized in polynomial time. Finally,
we present experimental\r\nresults on a variety of benchmarks and several natural
examples that model various types of nested while\r\nloops in probabilistic programs
and demonstrate that our approach is able to efficiently prove their almost-sure\r\ntermination
property"
article_number: '129'
article_processing_charge: No
arxiv: 1
author:
- first_name: Mingzhang
full_name: Huang, Mingzhang
last_name: Huang
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: 'Huang M, Fu H, Chatterjee K, Goharshady AK. Modular verification for almost-sure
termination of probabilistic programs. In: Proceedings of the 34th ACM International
Conference on Object-Oriented Programming, Systems, Languages, and Applications
. Vol 3. ACM; 2019. doi:10.1145/3360555'
apa: 'Huang, M., Fu, H., Chatterjee, K., & Goharshady, A. K. (2019). Modular
verification for almost-sure termination of probabilistic programs. In Proceedings
of the 34th ACM International Conference on Object-Oriented Programming, Systems,
Languages, and Applications (Vol. 3). Athens, Greece: ACM. https://doi.org/10.1145/3360555'
chicago: Huang, Mingzhang, Hongfei Fu, Krishnendu Chatterjee, and Amir Kafshdar
Goharshady. “Modular Verification for Almost-Sure Termination of Probabilistic
Programs.” In Proceedings of the 34th ACM International Conference on Object-Oriented
Programming, Systems, Languages, and Applications , Vol. 3. ACM, 2019. https://doi.org/10.1145/3360555.
ieee: M. Huang, H. Fu, K. Chatterjee, and A. K. Goharshady, “Modular verification
for almost-sure termination of probabilistic programs,” in Proceedings of the
34th ACM International Conference on Object-Oriented Programming, Systems, Languages,
and Applications , Athens, Greece, 2019, vol. 3.
ista: 'Huang M, Fu H, Chatterjee K, Goharshady AK. 2019. Modular verification for
almost-sure termination of probabilistic programs. Proceedings of the 34th ACM
International Conference on Object-Oriented Programming, Systems, Languages, and
Applications . OOPSLA: Object-oriented Programming, Systems, Languages and Applications
vol. 3, 129.'
mla: Huang, Mingzhang, et al. “Modular Verification for Almost-Sure Termination
of Probabilistic Programs.” Proceedings of the 34th ACM International Conference
on Object-Oriented Programming, Systems, Languages, and Applications , vol.
3, 129, ACM, 2019, doi:10.1145/3360555.
short: M. Huang, H. Fu, K. Chatterjee, A.K. Goharshady, in:, Proceedings of the
34th ACM International Conference on Object-Oriented Programming, Systems, Languages,
and Applications , ACM, 2019.
conference:
end_date: 2019-10-25
location: Athens, Greece
name: 'OOPSLA: Object-oriented Programming, Systems, Languages and Applications'
start_date: 2019-10-23
date_created: 2019-08-09T09:54:20Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2026-04-27T22:30:59Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3360555
ec_funded: 1
external_id:
arxiv:
- '1901.06087'
file:
- access_level: open_access
checksum: 3482d8ace6fb4991eb7810e3b70f1b9f
content_type: application/pdf
creator: akafshda
date_created: 2019-08-12T15:40:57Z
date_updated: 2020-07-14T12:47:40Z
file_id: '6807'
file_name: oopsla-2019.pdf
file_size: 1024643
relation: main_file
- access_level: open_access
checksum: 4e5a6fb2b59a75222a4e8335a5a60eac
content_type: application/pdf
creator: dernst
date_created: 2020-05-12T15:15:14Z
date_updated: 2020-07-14T12:47:40Z
file_id: '7821'
file_name: 2019_ACM_Huang.pdf
file_size: 538579
relation: main_file
file_date_updated: 2020-07-14T12:47:40Z
has_accepted_license: '1'
intvolume: ' 3'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication: 'Proceedings of the 34th ACM International Conference on Object-Oriented
Programming, Systems, Languages, and Applications '
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Modular verification for almost-sure termination of probabilistic programs
tmp:
image: /images/cc_by_nc.png
legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
short: CC BY-NC (4.0)
type: conference
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 3
year: '2019'
...
---
_id: '6490'
abstract:
- lang: eng
text: "Smart contracts are programs that are stored and executed on the Blockchain
and can receive, manage and transfer money (cryptocurrency units). Two important
problems regarding smart contracts are formal analysis and compiler optimization.
Formal analysis is extremely important, because smart contracts hold funds worth
billions of dollars and their code is immutable after deployment. Hence, an undetected
bug can cause significant financial losses. Compiler optimization is also crucial,
because every action of a smart contract has to be executed by every node in the
Blockchain network. Therefore, optimizations in compiling smart contracts can
lead to significant savings in computation, time and energy.\r\n\r\nTwo classical
approaches in program analysis and compiler optimization are intraprocedural and
interprocedural analysis. In intraprocedural analysis, each function is analyzed
separately, while interprocedural analysis considers the entire program. In both
cases, the analyses are usually reduced to graph problems over the control flow
graph (CFG) of the program. These graph problems are often computationally expensive.
Hence, there has been ample research on exploiting structural properties of CFGs
for efficient algorithms. One such well-studied property is the treewidth, which
is a measure of tree-likeness of graphs. It is known that intraprocedural CFGs
of structured programs have treewidth at most 6, whereas the interprocedural treewidth
cannot be bounded. This result has been used as a basis for many efficient intraprocedural
analyses.\r\n\r\nIn this paper, we explore the idea of exploiting the treewidth
of smart contracts for formal analysis and compiler optimization. First, similar
to classical programs, we show that the intraprocedural treewidth of structured
Solidity and Vyper smart contracts is at most 9. Second, for global analysis,
we prove that the interprocedural treewidth of structured smart contracts is bounded
by 10 and, in sharp contrast with classical programs, treewidth-based algorithms
can be easily applied for interprocedural analysis. Finally, we supplement our
theoretical results with experiments using a tool we implemented for computing
treewidth of smart contracts and show that the treewidth is much lower in practice.
We use 36,764 real-world Ethereum smart contracts as benchmarks and find that
they have an average treewidth of at most 3.35 for the intraprocedural case and
3.65 for the interprocedural case.\r\n"
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Ehsan Kafshdar
full_name: Goharshady, Ehsan Kafshdar
last_name: Goharshady
citation:
ama: 'Chatterjee K, Goharshady AK, Goharshady EK. The treewidth of smart contracts.
In: Proceedings of the 34th ACM Symposium on Applied Computing. Vol Part
F147772. ACM; 2019:400-408. doi:10.1145/3297280.3297322'
apa: 'Chatterjee, K., Goharshady, A. K., & Goharshady, E. K. (2019). The treewidth
of smart contracts. In Proceedings of the 34th ACM Symposium on Applied Computing
(Vol. Part F147772, pp. 400–408). Limassol, Cyprus: ACM. https://doi.org/10.1145/3297280.3297322'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Ehsan Kafshdar Goharshady.
“The Treewidth of Smart Contracts.” In Proceedings of the 34th ACM Symposium
on Applied Computing, Part F147772:400–408. ACM, 2019. https://doi.org/10.1145/3297280.3297322.
ieee: K. Chatterjee, A. K. Goharshady, and E. K. Goharshady, “The treewidth of smart
contracts,” in Proceedings of the 34th ACM Symposium on Applied Computing,
Limassol, Cyprus, 2019, vol. Part F147772, pp. 400–408.
ista: 'Chatterjee K, Goharshady AK, Goharshady EK. 2019. The treewidth of smart
contracts. Proceedings of the 34th ACM Symposium on Applied Computing. SAC: Symposium
on Applied Computing vol. Part F147772, 400–408.'
mla: Chatterjee, Krishnendu, et al. “The Treewidth of Smart Contracts.” Proceedings
of the 34th ACM Symposium on Applied Computing, vol. Part F147772, ACM, 2019,
pp. 400–08, doi:10.1145/3297280.3297322.
short: K. Chatterjee, A.K. Goharshady, E.K. Goharshady, in:, Proceedings of the
34th ACM Symposium on Applied Computing, ACM, 2019, pp. 400–408.
conference:
end_date: 2019-04-12
location: Limassol, Cyprus
name: 'SAC: Symposium on Applied Computing'
start_date: 2019-04-08
corr_author: '1'
date_created: 2019-05-26T21:59:15Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2026-04-27T22:30:59Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3297280.3297322
external_id:
isi:
- '000474685800052'
file:
- access_level: open_access
checksum: dddc20f6d9881f23b8755eb720ec9d6f
content_type: application/pdf
creator: dernst
date_created: 2020-05-14T09:50:11Z
date_updated: 2020-07-14T12:47:32Z
file_id: '7827'
file_name: 2019_ACM_Chatterjee.pdf
file_size: 6937138
relation: main_file
file_date_updated: 2020-07-14T12:47:32Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 400-408
publication: Proceedings of the 34th ACM Symposium on Applied Computing
publication_identifier:
isbn:
- '9781450359337'
publication_status: published
publisher: ACM
pubrep_id: '1070'
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The treewidth of smart contracts
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: Part F147772
year: '2019'
...
---
_id: '6378'
abstract:
- lang: eng
text: 'In today''s cryptocurrencies, Hashcash proof of work is the most commonly-adopted
approach to mining. In Hashcash, when a miner decides to add a block to the chain,
she has to solve the difficult computational puzzle of inverting a hash function.
While Hashcash has been successfully adopted in both Bitcoin and Ethereum, it
has attracted significant and harsh criticism due to its massive waste of electricity,
its carbon footprint and environmental effects, and the inherent lack of usefulness
in inverting a hash function. Various other mining protocols have been suggested,
including proof of stake, in which a miner''s chance of adding the next block
is proportional to her current balance. However, such protocols lead to a higher
entry cost for new miners who might not still have any stake in the cryptocurrency,
and can in the worst case lead to an oligopoly, where the rich have complete control
over mining. In this paper, we propose Hybrid Mining: a new mining protocol that
combines solving real-world useful problems with Hashcash. Our protocol allows
new miners to join the network by taking part in Hashcash mining without having
to own an initial stake. It also allows nodes of the network to submit hard computational
problems whose solutions are of interest in the real world, e.g.~protein folding
problems. Then, miners can choose to compete in solving these problems, in lieu
of Hashcash, for adding a new block. Hence, Hybrid Mining incentivizes miners
to solve useful problems, such as hard computational problems arising in biology,
in a distributed manner. It also gives researchers in other areas an easy-to-use
tool to outsource their hard computations to the blockchain network, which has
enormous computational power, by paying a reward to the miner who solves the problem
for them. Moreover, our protocol provides strong security guarantees and is at
least as resilient to double spending as Bitcoin.'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Arash
full_name: Pourdamghani, Arash
last_name: Pourdamghani
citation:
ama: 'Chatterjee K, Goharshady AK, Pourdamghani A. Hybrid Mining: Exploiting blockchain’s
computational power for distributed problem solving. In: Proceedings of the
34th ACM Symposium on Applied Computing. Vol Part F147772. ACM; 2019:374-381.
doi:10.1145/3297280.3297319'
apa: 'Chatterjee, K., Goharshady, A. K., & Pourdamghani, A. (2019). Hybrid Mining:
Exploiting blockchain’s computational power for distributed problem solving. In
Proceedings of the 34th ACM Symposium on Applied Computing (Vol. Part F147772,
pp. 374–381). Limassol, Cyprus: ACM. https://doi.org/10.1145/3297280.3297319'
chicago: 'Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Arash Pourdamghani.
“Hybrid Mining: Exploiting Blockchain’s Computational Power for Distributed Problem
Solving.” In Proceedings of the 34th ACM Symposium on Applied Computing,
Part F147772:374–81. ACM, 2019. https://doi.org/10.1145/3297280.3297319.'
ieee: 'K. Chatterjee, A. K. Goharshady, and A. Pourdamghani, “Hybrid Mining: Exploiting
blockchain’s computational power for distributed problem solving,” in Proceedings
of the 34th ACM Symposium on Applied Computing, Limassol, Cyprus, 2019, vol.
Part F147772, pp. 374–381.'
ista: 'Chatterjee K, Goharshady AK, Pourdamghani A. 2019. Hybrid Mining: Exploiting
blockchain’s computational power for distributed problem solving. Proceedings
of the 34th ACM Symposium on Applied Computing. ACM Symposium on Applied Computing
vol. Part F147772, 374–381.'
mla: 'Chatterjee, Krishnendu, et al. “Hybrid Mining: Exploiting Blockchain’s Computational
Power for Distributed Problem Solving.” Proceedings of the 34th ACM Symposium
on Applied Computing, vol. Part F147772, ACM, 2019, pp. 374–81, doi:10.1145/3297280.3297319.'
short: K. Chatterjee, A.K. Goharshady, A. Pourdamghani, in:, Proceedings of the
34th ACM Symposium on Applied Computing, ACM, 2019, pp. 374–381.
conference:
end_date: 2019-04-12
location: Limassol, Cyprus
name: ACM Symposium on Applied Computing
start_date: 2019-04-08
date_created: 2019-05-06T12:11:36Z
date_published: 2019-04-01T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1145/3297280.3297319
ec_funded: 1
external_id:
isi:
- '000474685800049'
file:
- access_level: open_access
checksum: fbfbcd5a0c7a743862bfc3045539a614
content_type: application/pdf
creator: dernst
date_created: 2019-05-06T12:09:27Z
date_updated: 2020-07-14T12:47:29Z
file_id: '6379'
file_name: 2019_ACM_Chatterjee.pdf
file_size: 1023934
relation: main_file
file_date_updated: 2020-07-14T12:47:29Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 374-381
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Proceedings of the 34th ACM Symposium on Applied Computing
publication_identifier:
isbn:
- '9781450359337'
publication_status: published
publisher: ACM
pubrep_id: '1069'
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: 'Hybrid Mining: Exploiting blockchain’s computational power for distributed
problem solving'
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: Part F147772
year: '2019'
...
---
_id: '6175'
abstract:
- lang: eng
text: "We consider the problem of expected cost analysis over nondeterministic probabilistic
programs,\r\nwhich aims at automated methods for analyzing the resource-usage
of such programs.\r\nPrevious approaches for this problem could only handle nonnegative
bounded costs.\r\nHowever, in many scenarios, such as queuing networks or analysis
of cryptocurrency protocols,\r\nboth positive and negative costs are necessary
and the costs are unbounded as well.\r\n\r\nIn this work, we present a sound and
efficient approach to obtain polynomial bounds on the\r\nexpected accumulated
cost of nondeterministic probabilistic programs.\r\nOur approach can handle (a)
general positive and negative costs with bounded updates in\r\nvariables; and
(b) nonnegative costs with general updates to variables.\r\nWe show that several
natural examples which could not be\r\nhandled by previous approaches are captured
in our framework.\r\n\r\nMoreover, our approach leads to an efficient polynomial-time
algorithm, while no\r\nprevious approach for cost analysis of probabilistic programs
could guarantee polynomial runtime.\r\nFinally, we show the effectiveness of our
approach using experimental results on a variety of programs for which we efficiently
synthesize tight resource-usage bounds."
article_processing_charge: No
arxiv: 1
author:
- first_name: Peixin
full_name: Wang, Peixin
last_name: Wang
- first_name: Hongfei
full_name: Fu, Hongfei
id: 3AAD03D6-F248-11E8-B48F-1D18A9856A87
last_name: Fu
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Xudong
full_name: Qin, Xudong
last_name: Qin
- first_name: Wenjun
full_name: Shi, Wenjun
last_name: Shi
citation:
ama: 'Wang P, Fu H, Goharshady AK, Chatterjee K, Qin X, Shi W. Cost analysis of
nondeterministic probabilistic programs. In: PLDI 2019: Proceedings of the
40th ACM SIGPLAN Conference on Programming Language Design and Implementation.
Association for Computing Machinery; 2019:204-220. doi:10.1145/3314221.3314581'
apa: 'Wang, P., Fu, H., Goharshady, A. K., Chatterjee, K., Qin, X., & Shi, W.
(2019). Cost analysis of nondeterministic probabilistic programs. In PLDI 2019:
Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design
and Implementation (pp. 204–220). Phoenix, AZ, United States: Association
for Computing Machinery. https://doi.org/10.1145/3314221.3314581'
chicago: 'Wang, Peixin, Hongfei Fu, Amir Kafshdar Goharshady, Krishnendu Chatterjee,
Xudong Qin, and Wenjun Shi. “Cost Analysis of Nondeterministic Probabilistic Programs.”
In PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming
Language Design and Implementation, 204–20. Association for Computing Machinery,
2019. https://doi.org/10.1145/3314221.3314581.'
ieee: 'P. Wang, H. Fu, A. K. Goharshady, K. Chatterjee, X. Qin, and W. Shi, “Cost
analysis of nondeterministic probabilistic programs,” in PLDI 2019: Proceedings
of the 40th ACM SIGPLAN Conference on Programming Language Design and Implementation,
Phoenix, AZ, United States, 2019, pp. 204–220.'
ista: 'Wang P, Fu H, Goharshady AK, Chatterjee K, Qin X, Shi W. 2019. Cost analysis
of nondeterministic probabilistic programs. PLDI 2019: Proceedings of the 40th
ACM SIGPLAN Conference on Programming Language Design and Implementation. PLDI:
Conference on Programming Language Design and Implementation, 204–220.'
mla: 'Wang, Peixin, et al. “Cost Analysis of Nondeterministic Probabilistic Programs.”
PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language
Design and Implementation, Association for Computing Machinery, 2019, pp.
204–20, doi:10.1145/3314221.3314581.'
short: 'P. Wang, H. Fu, A.K. Goharshady, K. Chatterjee, X. Qin, W. Shi, in:, PLDI
2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming Language Design
and Implementation, Association for Computing Machinery, 2019, pp. 204–220.'
conference:
end_date: 2019-06-26
location: Phoenix, AZ, United States
name: 'PLDI: Conference on Programming Language Design and Implementation'
start_date: 2019-06-22
date_created: 2019-03-25T10:13:25Z
date_published: 2019-06-08T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '08'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3314221.3314581
ec_funded: 1
external_id:
arxiv:
- '1902.04659'
isi:
- '000523190300014'
file:
- access_level: open_access
checksum: 703a5e9b8c8587f2a44085ffd9a4db64
content_type: application/pdf
creator: akafshda
date_created: 2019-03-25T10:11:22Z
date_updated: 2020-07-14T12:47:20Z
file_id: '6176'
file_name: paper.pdf
file_size: 4051066
relation: main_file
file_date_updated: 2020-07-14T12:47:20Z
has_accepted_license: '1'
isi: 1
keyword:
- Program Cost Analysis
- Program Termination
- Probabilistic Programs
- Martingales
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 204-220
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication: 'PLDI 2019: Proceedings of the 40th ACM SIGPLAN Conference on Programming
Language Design and Implementation'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '5457'
relation: earlier_version
status: public
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Cost analysis of nondeterministic probabilistic programs
type: conference
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
year: '2019'
...
---
_id: '7158'
abstract:
- lang: eng
text: "Interprocedural analysis is at the heart of numerous applications in programming
languages, such as alias analysis, constant propagation, and so on. Recursive
state machines (RSMs) are standard models for interprocedural analysis. We consider
a general framework with RSMs where the transitions are labeled from a semiring
and path properties are algebraic with semiring operations. RSMs with algebraic
path properties can model interprocedural dataflow analysis problems, the shortest
path problem, the most probable path problem, and so on. The traditional algorithms
for interprocedural analysis focus on path properties where the starting point
is fixed as the entry point of a specific method. In this work, we consider possible
multiple queries as required in many applications such as in alias analysis. The
study of multiple queries allows us to bring in an important algorithmic distinction
between the resource usage of the one-time preprocessing vs for each individual
query. The second aspect we consider is that the control flow graphs for most
programs have constant treewidth.\r\n\r\nOur main contributions are simple and
implementable algorithms that support multiple queries for algebraic path properties
for RSMs that have constant treewidth. Our theoretical results show that our algorithms
have small additional one-time preprocessing but can answer subsequent queries
significantly faster as compared to the current algorithmic solutions for interprocedural
dataflow analysis. We have also implemented our algorithms and evaluated their
performance for performing on-demand interprocedural dataflow analysis on various
domains, such as for live variable analysis and reaching definitions, on a standard
benchmark set. Our experimental results align with our theoretical statements
and show that after a lightweight preprocessing, on-demand queries are answered
much faster than the standard existing algorithmic approaches.\r\n"
article_number: '23'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Prateesh
full_name: Goyal, Prateesh
last_name: Goyal
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. Faster
algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 2019;41(4). doi:10.1145/3363525
apa: Chatterjee, K., Goharshady, A. K., Goyal, P., Ibsen-Jensen, R., & Pavlogiannis,
A. (2019). Faster algorithms for dynamic algebraic queries in basic RSMs with
constant treewidth. ACM Transactions on Programming Languages and Systems.
ACM. https://doi.org/10.1145/3363525
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Prateesh Goyal, Rasmus
Ibsen-Jensen, and Andreas Pavlogiannis. “Faster Algorithms for Dynamic Algebraic
Queries in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming
Languages and Systems. ACM, 2019. https://doi.org/10.1145/3363525.
ieee: K. Chatterjee, A. K. Goharshady, P. Goyal, R. Ibsen-Jensen, and A. Pavlogiannis,
“Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth,”
ACM Transactions on Programming Languages and Systems, vol. 41, no. 4.
ACM, 2019.
ista: Chatterjee K, Goharshady AK, Goyal P, Ibsen-Jensen R, Pavlogiannis A. 2019.
Faster algorithms for dynamic algebraic queries in basic RSMs with constant treewidth.
ACM Transactions on Programming Languages and Systems. 41(4), 23.
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Dynamic Algebraic Queries
in Basic RSMs with Constant Treewidth.” ACM Transactions on Programming Languages
and Systems, vol. 41, no. 4, 23, ACM, 2019, doi:10.1145/3363525.
short: K. Chatterjee, A.K. Goharshady, P. Goyal, R. Ibsen-Jensen, A. Pavlogiannis,
ACM Transactions on Programming Languages and Systems 41 (2019).
date_created: 2019-12-09T08:33:33Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3363525
ec_funded: 1
external_id:
isi:
- '000564108400004'
file:
- access_level: open_access
checksum: 291cc86a07bd010d4815e177dac57b70
content_type: application/pdf
creator: dernst
date_created: 2020-10-08T12:58:10Z
date_updated: 2020-10-08T12:58:10Z
file_id: '8632'
file_name: 2019_ACMTransactions_Chatterjee.pdf
file_size: 667357
relation: main_file
success: 1
file_date_updated: 2020-10-08T12:58:10Z
has_accepted_license: '1'
intvolume: ' 41'
isi: 1
issue: '4'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
issn:
- 0164-0925
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Faster algorithms for dynamic algebraic queries in basic RSMs with constant
treewidth
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 41
year: '2019'
...
---
_id: '7014'
abstract:
- lang: eng
text: "We study the problem of developing efficient approaches for proving\r\nworst-case
bounds of non-deterministic recursive programs. Ranking functions\r\nare sound
and complete for proving termination and worst-case bounds of\r\nnonrecursive
programs. First, we apply ranking functions to recursion,\r\nresulting in measure
functions. We show that measure functions provide a sound\r\nand complete approach
to prove worst-case bounds of non-deterministic recursive\r\nprograms. Our second
contribution is the synthesis of measure functions in\r\nnonpolynomial forms.
We show that non-polynomial measure functions with\r\nlogarithm and exponentiation
can be synthesized through abstraction of\r\nlogarithmic or exponentiation terms,
Farkas' Lemma, and Handelman's Theorem\r\nusing linear programming. While previous
methods obtain worst-case polynomial\r\nbounds, our approach can synthesize bounds
of the form $\\mathcal{O}(n\\log n)$\r\nas well as $\\mathcal{O}(n^r)$ where $r$
is not an integer. We present\r\nexperimental results to demonstrate that our
approach can obtain efficiently\r\nworst-case bounds of classical recursive algorithms
such as (i) Merge-Sort, the\r\ndivide-and-conquer algorithm for the Closest-Pair
problem, where we obtain\r\n$\\mathcal{O}(n \\log n)$ worst-case bound, and (ii)
Karatsuba's algorithm for\r\npolynomial multiplication and Strassen's algorithm
for matrix multiplication,\r\nwhere we obtain $\\mathcal{O}(n^r)$ bound such that
$r$ is not an integer and\r\nclose to the best-known bounds for the respective
algorithms."
article_number: '20'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Amir Kafshdar
full_name: Goharshady, Amir Kafshdar
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
citation:
ama: Chatterjee K, Fu H, Goharshady AK. Non-polynomial worst-case analysis of recursive
programs. ACM Transactions on Programming Languages and Systems. 2019;41(4).
doi:10.1145/3339984
apa: Chatterjee, K., Fu, H., & Goharshady, A. K. (2019). Non-polynomial worst-case
analysis of recursive programs. ACM Transactions on Programming Languages and
Systems. ACM. https://doi.org/10.1145/3339984
chicago: Chatterjee, Krishnendu, Hongfei Fu, and Amir Kafshdar Goharshady. “Non-Polynomial
Worst-Case Analysis of Recursive Programs.” ACM Transactions on Programming
Languages and Systems. ACM, 2019. https://doi.org/10.1145/3339984.
ieee: K. Chatterjee, H. Fu, and A. K. Goharshady, “Non-polynomial worst-case analysis
of recursive programs,” ACM Transactions on Programming Languages and Systems,
vol. 41, no. 4. ACM, 2019.
ista: Chatterjee K, Fu H, Goharshady AK. 2019. Non-polynomial worst-case analysis
of recursive programs. ACM Transactions on Programming Languages and Systems.
41(4), 20.
mla: Chatterjee, Krishnendu, et al. “Non-Polynomial Worst-Case Analysis of Recursive
Programs.” ACM Transactions on Programming Languages and Systems, vol.
41, no. 4, 20, ACM, 2019, doi:10.1145/3339984.
short: K. Chatterjee, H. Fu, A.K. Goharshady, ACM Transactions on Programming Languages
and Systems 41 (2019).
date_created: 2019-11-13T08:33:43Z
date_published: 2019-10-01T00:00:00Z
date_updated: 2026-04-27T22:31:00Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3339984
ec_funded: 1
external_id:
arxiv:
- '1705.00317'
isi:
- '000564108400001'
intvolume: ' 41'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1705.00317
month: '10'
oa: 1
oa_version: Preprint
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 267066CE-B435-11E9-9278-68D0E5697425
name: Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication: ACM Transactions on Programming Languages and Systems
publication_status: published
publisher: ACM
quality_controlled: '1'
related_material:
record:
- id: '639'
relation: earlier_version
status: public
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Non-polynomial worst-case analysis of recursive programs
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 41
year: '2019'
...