---
_id: '2'
abstract:
- lang: eng
text: Indirect reciprocity explores how humans act when their reputation is at stake,
and which social norms they use to assess the actions of others. A crucial question
in indirect reciprocity is which social norms can maintain stable cooperation
in a society. Past research has highlighted eight such norms, called “leading-eight”
strategies. This past research, however, is based on the assumption that all relevant
information about other population members is publicly available and that everyone
agrees on who is good or bad. Instead, here we explore the reputation dynamics
when information is private and noisy. We show that under these conditions, most
leading-eight strategies fail to evolve. Those leading-eight strategies that do
evolve are unable to sustain full cooperation.Indirect reciprocity is a mechanism
for cooperation based on shared moral systems and individual reputations. It assumes
that members of a community routinely observe and assess each other and that they
use this information to decide who is good or bad, and who deserves cooperation.
When information is transmitted publicly, such that all community members agree
on each other’s reputation, previous research has highlighted eight crucial moral
systems. These “leading-eight” strategies can maintain cooperation and resist
invasion by defectors. However, in real populations individuals often hold their
own private views of others. Once two individuals disagree about their opinion
of some third party, they may also see its subsequent actions in a different light.
Their opinions may further diverge over time. Herein, we explore indirect reciprocity
when information transmission is private and noisy. We find that in the presence
of perception errors, most leading-eight strategies cease to be stable. Even if
a leading-eight strategy evolves, cooperation rates may drop considerably when
errors are common. Our research highlights the role of reliable information and
synchronized reputations to maintain stable moral systems.
article_processing_charge: No
author:
- first_name: Christian
full_name: Hilbe, Christian
id: 2FDF8F3C-F248-11E8-B48F-1D18A9856A87
last_name: Hilbe
orcid: 0000-0001-5116-955X
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Hilbe C, Schmid L, Tkadlec J, Chatterjee K, Nowak M. Indirect reciprocity with
private, noisy, and incomplete information. PNAS. 2018;115(48):12241-12246.
doi:10.1073/pnas.1810565115
apa: Hilbe, C., Schmid, L., Tkadlec, J., Chatterjee, K., & Nowak, M. (2018).
Indirect reciprocity with private, noisy, and incomplete information. PNAS.
National Academy of Sciences. https://doi.org/10.1073/pnas.1810565115
chicago: Hilbe, Christian, Laura Schmid, Josef Tkadlec, Krishnendu Chatterjee, and
Martin Nowak. “Indirect Reciprocity with Private, Noisy, and Incomplete Information.”
PNAS. National Academy of Sciences, 2018. https://doi.org/10.1073/pnas.1810565115.
ieee: C. Hilbe, L. Schmid, J. Tkadlec, K. Chatterjee, and M. Nowak, “Indirect reciprocity
with private, noisy, and incomplete information,” PNAS, vol. 115, no. 48.
National Academy of Sciences, pp. 12241–12246, 2018.
ista: Hilbe C, Schmid L, Tkadlec J, Chatterjee K, Nowak M. 2018. Indirect reciprocity
with private, noisy, and incomplete information. PNAS. 115(48), 12241–12246.
mla: Hilbe, Christian, et al. “Indirect Reciprocity with Private, Noisy, and Incomplete
Information.” PNAS, vol. 115, no. 48, National Academy of Sciences, 2018,
pp. 12241–46, doi:10.1073/pnas.1810565115.
short: C. Hilbe, L. Schmid, J. Tkadlec, K. Chatterjee, M. Nowak, PNAS 115 (2018)
12241–12246.
date_created: 2018-12-11T11:44:05Z
date_published: 2018-11-27T00:00:00Z
date_updated: 2026-09-02T22:30:47Z
day: '27'
department:
- _id: KrCh
doi: 10.1073/pnas.1810565115
ec_funded: 1
external_id:
isi:
- '000451351000063'
pmid:
- '30429320'
intvolume: ' 115'
isi: 1
issue: '48'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.ncbi.nlm.nih.gov/pubmed/30429320
month: '11'
oa: 1
oa_version: Submitted Version
page: 12241-12246
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
quality_controlled: '1'
related_material:
link:
- description: News on IST Homepage
relation: press_release
url: https://ist.ac.at/en/news/no-cooperation-without-open-communication/
record:
- id: '10293'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Indirect reciprocity with private, noisy, and incomplete information
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 115
year: '2018'
...
---
_id: '66'
abstract:
- lang: eng
text: 'Crypto-currencies are digital assets designed to work as a medium of exchange,
e.g., Bitcoin, but they are susceptible to attacks (dishonest behavior of participants).
A framework for the analysis of attacks in crypto-currencies requires (a) modeling
of game-theoretic aspects to analyze incentives for deviation from honest behavior;
(b) concurrent interactions between participants; and (c) analysis of long-term
monetary gains. Traditional game-theoretic approaches for the analysis of security
protocols consider either qualitative temporal properties such as safety and termination,
or the very special class of one-shot (stateless) games. However, to analyze general
attacks on protocols for crypto-currencies, both stateful analysis and quantitative
objectives are necessary. In this work our main contributions are as follows:
(a) we show how a class of concurrent mean-payo games, namely ergodic games, can
model various attacks that arise naturally in crypto-currencies; (b) we present
the first practical implementation of algorithms for ergodic games that scales
to model realistic problems for crypto-currencies; and (c) we present experimental
results showing that our framework can handle games with thousands of states and
millions of transitions.'
alternative_title:
- LIPIcs
article_number: '11'
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
full_name: Goharshady, Amir
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: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. Ergodic mean-payoff
games for the analysis of attacks in crypto-currencies. In: Vol 118. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.CONCUR.2018.11'
apa: 'Chatterjee, K., Goharshady, A. K., Ibsen-Jensen, R., & Velner, Y. (2018).
Ergodic mean-payoff games for the analysis of attacks in crypto-currencies (Vol.
118). Presented at the CONCUR: Conference on Concurrency Theory, Beijing, China:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, Rasmus Ibsen-Jensen,
and Yaron Velner. “Ergodic Mean-Payoff Games for the Analysis of Attacks in Crypto-Currencies,”
Vol. 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018. https://doi.org/10.4230/LIPIcs.CONCUR.2018.11.
ieee: 'K. Chatterjee, A. K. Goharshady, R. Ibsen-Jensen, and Y. Velner, “Ergodic
mean-payoff games for the analysis of attacks in crypto-currencies,” presented
at the CONCUR: Conference on Concurrency Theory, Beijing, China, 2018, vol. 118.'
ista: 'Chatterjee K, Goharshady AK, Ibsen-Jensen R, Velner Y. 2018. Ergodic mean-payoff
games for the analysis of attacks in crypto-currencies. CONCUR: Conference on
Concurrency Theory, LIPIcs, vol. 118, 11.'
mla: Chatterjee, Krishnendu, et al. Ergodic Mean-Payoff Games for the Analysis
of Attacks in Crypto-Currencies. Vol. 118, 11, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2018, doi:10.4230/LIPIcs.CONCUR.2018.11.
short: K. Chatterjee, A.K. Goharshady, R. Ibsen-Jensen, Y. Velner, in:, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
conference:
end_date: 2018-09-07
location: Beijing, China
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2018-09-04
date_created: 2018-12-11T11:44:27Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2026-09-02T22:30:57Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2018.11
ec_funded: 1
external_id:
arxiv:
- '1806.03108'
file:
- access_level: open_access
checksum: 68a055b1aaa241cc38375083cf832a7d
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T12:08:00Z
date_updated: 2020-07-14T12:47:34Z
file_id: '5696'
file_name: 2018_CONCUR_Chatterjee.pdf
file_size: 1078309
relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: ' 118'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '09'
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: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 266EEEC0-B435-11E9-9278-68D0E5697425
name: Quantitative Game-theoretic Analysis of Blockchain Applications and Smart
Contracts
publication_identifier:
isbn:
- 978-3-95977-087-3
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7988'
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Ergodic mean-payoff games for the analysis of attacks in crypto-currencies
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: 118
year: '2018'
...
---
_id: '311'
abstract:
- lang: eng
text: 'Smart contracts are computer programs that are executed by a network of mutually
distrusting agents, without the need of an external trusted authority. Smart contracts
handle and transfer assets of considerable value (in the form of crypto-currency
like Bitcoin). Hence, it is crucial that their implementation is bug-free. We
identify the utility (or expected payoff) of interacting with such smart contracts
as the basic and canonical quantitative property for such contracts. We present
a framework for such quantitative analysis of smart contracts. Such a formal framework
poses new and novel research challenges in programming languages, as it requires
modeling of game-theoretic aspects to analyze incentives for deviation from honest
behavior and modeling utilities which are not specified as standard temporal properties
such as safety and termination. While game-theoretic incentives have been analyzed
in the security community, their analysis has been restricted to the very special
case of stateless games. However, to analyze smart contracts, stateful analysis
is required as it must account for the different program states of the protocol.
Our main contributions are as follows: we present (i)~a simplified programming
language for smart contracts; (ii)~an automatic translation of the programs to
state-based games; (iii)~an abstraction-refinement approach to solve such games;
and (iv)~experimental results on real-world-inspired smart contracts.'
acknowledgement: 'The research was partially supported by Vienna Science and Technology
Fund (WWTF) Project ICT15-003, Austrian Science Fund (FWF) NFN Grant No S11407-N23
(RiSE/SHiNE), and ERC Starting grant (279307: Graph Games).'
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
full_name: Goharshady, Amir
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Yaron
full_name: Velner, Yaron
last_name: Velner
citation:
ama: 'Chatterjee K, Goharshady AK, Velner Y. Quantitative analysis of smart contracts.
In: Vol 10801. Springer; 2018:739-767. doi:10.1007/978-3-319-89884-1_26'
apa: 'Chatterjee, K., Goharshady, A. K., & Velner, Y. (2018). Quantitative analysis
of smart contracts (Vol. 10801, pp. 739–767). Presented at the ESOP: European
Symposium on Programming, Thessaloniki, Greece: Springer. https://doi.org/10.1007/978-3-319-89884-1_26'
chicago: Chatterjee, Krishnendu, Amir Kafshdar Goharshady, and Yaron Velner. “Quantitative
Analysis of Smart Contracts,” 10801:739–67. Springer, 2018. https://doi.org/10.1007/978-3-319-89884-1_26.
ieee: 'K. Chatterjee, A. K. Goharshady, and Y. Velner, “Quantitative analysis of
smart contracts,” presented at the ESOP: European Symposium on Programming, Thessaloniki,
Greece, 2018, vol. 10801, pp. 739–767.'
ista: 'Chatterjee K, Goharshady AK, Velner Y. 2018. Quantitative analysis of smart
contracts. ESOP: European Symposium on Programming, LNCS, vol. 10801, 739–767.'
mla: Chatterjee, Krishnendu, et al. Quantitative Analysis of Smart Contracts.
Vol. 10801, Springer, 2018, pp. 739–67, doi:10.1007/978-3-319-89884-1_26.
short: K. Chatterjee, A.K. Goharshady, Y. Velner, in:, Springer, 2018, pp. 739–767.
conference:
end_date: 2018-04-19
location: Thessaloniki, Greece
name: 'ESOP: European Symposium on Programming'
start_date: 2018-04-16
date_created: 2018-12-11T11:45:45Z
date_published: 2018-04-01T00:00:00Z
date_updated: 2026-09-02T22:30:58Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1007/978-3-319-89884-1_26
ec_funded: 1
file:
- access_level: open_access
checksum: 9c8a8338c571903b599b6ca93abd2cce
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T15:45:49Z
date_updated: 2020-07-14T12:46:00Z
file_id: '5716'
file_name: 2018_ESOP_Chatterjee.pdf
file_size: 1394993
relation: main_file
file_date_updated: 2020-07-14T12:46:00Z
has_accepted_license: '1'
intvolume: ' 10801'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 739 - 767
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'
publication_status: published
publisher: Springer
publist_id: '7554'
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Quantitative analysis of smart contracts
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: 10801
year: '2018'
...
---
_id: '6340'
abstract:
- lang: eng
text: We present a secure approach for maintaining andreporting credit history records on the Blockchain. Our ap-proach removes third-parties such as credit reporting agen-cies from the lending process and replaces them with smartcontracts. This allows customers to interact directly with thelenders or banks while ensuring the integrity, unmalleabilityand privacy of their credit data. Additionally, each customerhas full control over complete or selective disclosure of hercredit
records, eliminating the risk of privacy violations or databreaches. Moreover,
our approach provides strong guaranteesfor the lenders as well. A lender can check
both correctness andcompleteness of the credit data disclosed to her. This is
the firstapproach that can perform all credit reporting tasks withouta central authority or changing the financial mechanisms*.
article_processing_charge: No
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: Ali
full_name: Behrouz, Ali
last_name: Behrouz
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Goharshady AK, Behrouz A, Chatterjee K. Secure Credit Reporting on the Blockchain.
In: Proceedings of the IEEE International Conference on Blockchain. IEEE;
2018:1343-1348. doi:10.1109/Cybermatics_2018.2018.00231'
apa: 'Goharshady, A. K., Behrouz, A., & Chatterjee, K. (2018). Secure Credit
Reporting on the Blockchain. In Proceedings of the IEEE International Conference
on Blockchain (pp. 1343–1348). Halifax, Canada: IEEE. https://doi.org/10.1109/Cybermatics_2018.2018.00231'
chicago: Goharshady, Amir Kafshdar, Ali Behrouz, and Krishnendu Chatterjee. “Secure
Credit Reporting on the Blockchain.” In Proceedings of the IEEE International
Conference on Blockchain, 1343–48. IEEE, 2018. https://doi.org/10.1109/Cybermatics_2018.2018.00231.
ieee: A. K. Goharshady, A. Behrouz, and K. Chatterjee, “Secure Credit Reporting
on the Blockchain,” in Proceedings of the IEEE International Conference on
Blockchain, Halifax, Canada, 2018, pp. 1343–1348.
ista: Goharshady AK, Behrouz A, Chatterjee K. 2018. Secure Credit Reporting on the
Blockchain. Proceedings of the IEEE International Conference on Blockchain. IEEE
International Conference on Blockchain, 1343–1348.
mla: Goharshady, Amir Kafshdar, et al. “Secure Credit Reporting on the Blockchain.”
Proceedings of the IEEE International Conference on Blockchain, IEEE, 2018,
pp. 1343–48, doi:10.1109/Cybermatics_2018.2018.00231.
short: A.K. Goharshady, A. Behrouz, K. Chatterjee, in:, Proceedings of the IEEE
International Conference on Blockchain, IEEE, 2018, pp. 1343–1348.
conference:
end_date: 2018-08-03
location: Halifax, Canada
name: IEEE International Conference on Blockchain
start_date: 2018-07-30
date_created: 2019-04-18T10:37:35Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2026-09-02T22:30:58Z
day: '01'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1109/Cybermatics_2018.2018.00231
ec_funded: 1
external_id:
arxiv:
- '1805.09104'
isi:
- '000481634500196'
file:
- access_level: open_access
checksum: b25c9bb7cf6e7e6634e692d26d41ead8
content_type: application/pdf
creator: akafshda
date_created: 2019-04-18T10:36:39Z
date_updated: 2020-07-14T12:47:27Z
file_id: '6341'
file_name: blockchain2018.pdf
file_size: 624338
relation: main_file
file_date_updated: 2020-07-14T12:47:27Z
has_accepted_license: '1'
isi: 1
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
page: 1343-1348
project:
- _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: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Proceedings of the IEEE International Conference on Blockchain
publication_identifier:
isbn:
- '978-1-5386-7975-3 '
publication_status: published
publisher: IEEE
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Secure Credit Reporting on the Blockchain
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2018'
...
---
_id: '6009'
abstract:
- lang: eng
text: "We study algorithmic questions wrt algebraic path properties in concurrent
systems, where the transitions of the system are labeled from a complete, closed
semiring. The algebraic path properties can model dataflow analysis problems,
the shortest path problem, and many other natural problems that arise in program
analysis. We consider that each component of the concurrent system is a graph
with constant treewidth, a property satisfied by the controlflow graphs of most
programs. We allow for multiple possible queries, which arise naturally in demand
driven dataflow analysis. The study of multiple queries allows us to consider
the tradeoff between the resource usage of the one-time preprocessing and for
each individual query. The traditional approach constructs the product graph of
all components and applies the best-known graph algorithm on the product. In this
approach, even the answer to a single query requires the transitive closure (i.e.,
the results of all possible queries), which provides no room for tradeoff between
preprocessing and query time.\r\nOur main contributions are algorithms that significantly
improve the worst-case running time of the traditional approach, and provide various
tradeoffs depending on the number of queries. For example, in a concurrent system
of two components, the traditional approach requires hexic time in the worst case
for answering one query as well as computing the transitive closure, whereas we
show that with one-time preprocessing in almost cubic time, each subsequent query
can be answered in at most linear time, and even the transitive closure can be
computed in almost quartic time. Furthermore, we establish conditional optimality
results showing that the worst-case running time of our algorithms cannot be improved
without achieving major breakthroughs in graph algorithms (i.e., improving the
worst-case bound for the shortest path problem in general graphs). Preliminary
experimental results show that our algorithms perform favorably on several benchmarks.\r\n"
article_number: '9'
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- 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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. Algorithms for
algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 2018;40(3). doi:10.1145/3210257
apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., & Pavlogiannis, A.
(2018). Algorithms for algebraic path properties in concurrent systems of constant
treewidth components. ACM Transactions on Programming Languages and Systems.
Association for Computing Machinery. https://doi.org/10.1145/3210257
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
and Andreas Pavlogiannis. “Algorithms for Algebraic Path Properties in Concurrent
Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems. Association for Computing Machinery, 2018. https://doi.org/10.1145/3210257.
ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, “Algorithms
for algebraic path properties in concurrent systems of constant treewidth components,”
ACM Transactions on Programming Languages and Systems, vol. 40, no. 3.
Association for Computing Machinery, 2018.
ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2018. Algorithms
for algebraic path properties in concurrent systems of constant treewidth components.
ACM Transactions on Programming Languages and Systems. 40(3), 9.
mla: Chatterjee, Krishnendu, et al. “Algorithms for Algebraic Path Properties in
Concurrent Systems of Constant Treewidth Components.” ACM Transactions on Programming
Languages and Systems, vol. 40, no. 3, 9, Association for Computing Machinery,
2018, doi:10.1145/3210257.
short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, ACM Transactions
on Programming Languages and Systems 40 (2018).
corr_author: '1'
date_created: 2019-02-14T14:31:52Z
date_published: 2018-08-01T00:00:00Z
date_updated: 2026-09-02T22:30:58Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3210257
ec_funded: 1
external_id:
arxiv:
- '1510.07565'
isi:
- '000444694800001'
intvolume: ' 40'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1510.07565
month: '08'
oa: 1
oa_version: Preprint
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal 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'
publication: ACM Transactions on Programming Languages and Systems
publication_identifier:
issn:
- 0164-0925
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '5441'
relation: earlier_version
status: public
- id: '5442'
relation: earlier_version
status: public
- id: '1437'
relation: earlier_version
status: public
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Algorithms for algebraic path properties in concurrent systems of constant
treewidth components
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 40
year: '2018'
...
---
_id: '5977'
abstract:
- lang: eng
text: 'We consider the stochastic shortest path (SSP)problem for succinct Markov
decision processes(MDPs), where the MDP consists of a set of vari-ables, and a
set of nondeterministic rules that up-date the variables. First, we show that
several ex-amples from the AI literature can be modeled assuccinct MDPs. Then
we present computationalapproaches for upper and lower bounds for theSSP problem:
(a) for computing upper bounds, ourmethod is polynomial-time in the implicit descrip-tion
of the MDP; (b) for lower bounds, we present apolynomial-time (in the size of
the implicit descrip-tion) reduction to quadratic programming. Our ap-proach is
applicable even to infinite-state MDPs.Finally, we present experimental results
to demon-strate the effectiveness of our approach on severalclassical examples
from the AI literature.'
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
full_name: Goharshady, Amir
id: 391365CE-F248-11E8-B48F-1D18A9856A87
last_name: Goharshady
orcid: 0000-0003-1702-6584
- first_name: Nastaran
full_name: Okati, Nastaran
last_name: Okati
citation:
ama: 'Chatterjee K, Fu H, Goharshady AK, Okati N. Computational approaches for stochastic
shortest path on succinct MDPs. In: Proceedings of the Twenty-Seventh International
Joint Conference on Artificial Intelligence. Vol 2018. IJCAI; 2018:4700-4707.
doi:10.24963/ijcai.2018/653'
apa: 'Chatterjee, K., Fu, H., Goharshady, A. K., & Okati, N. (2018). Computational
approaches for stochastic shortest path on succinct MDPs. In Proceedings of
the Twenty-Seventh International Joint Conference on Artificial Intelligence
(Vol. 2018, pp. 4700–4707). Stockholm, Sweden: IJCAI. https://doi.org/10.24963/ijcai.2018/653'
chicago: Chatterjee, Krishnendu, Hongfei Fu, Amir Kafshdar Goharshady, and Nastaran
Okati. “Computational Approaches for Stochastic Shortest Path on Succinct MDPs.”
In Proceedings of the Twenty-Seventh International Joint Conference on Artificial
Intelligence, 2018:4700–4707. IJCAI, 2018. https://doi.org/10.24963/ijcai.2018/653.
ieee: K. Chatterjee, H. Fu, A. K. Goharshady, and N. Okati, “Computational approaches
for stochastic shortest path on succinct MDPs,” in Proceedings of the Twenty-Seventh
International Joint Conference on Artificial Intelligence, Stockholm, Sweden,
2018, vol. 2018, pp. 4700–4707.
ista: 'Chatterjee K, Fu H, Goharshady AK, Okati N. 2018. Computational approaches
for stochastic shortest path on succinct MDPs. Proceedings of the Twenty-Seventh
International Joint Conference on Artificial Intelligence. IJCAI: International
Joint Conference on Artificial Intelligence vol. 2018, 4700–4707.'
mla: Chatterjee, Krishnendu, et al. “Computational Approaches for Stochastic Shortest
Path on Succinct MDPs.” Proceedings of the Twenty-Seventh International Joint
Conference on Artificial Intelligence, vol. 2018, IJCAI, 2018, pp. 4700–07,
doi:10.24963/ijcai.2018/653.
short: K. Chatterjee, H. Fu, A.K. Goharshady, N. Okati, in:, Proceedings of the
Twenty-Seventh International Joint Conference on Artificial Intelligence, IJCAI,
2018, pp. 4700–4707.
conference:
end_date: 2018-07-19
location: Stockholm, Sweden
name: 'IJCAI: International Joint Conference on Artificial Intelligence'
start_date: 2018-07-13
date_created: 2019-02-13T13:26:27Z
date_published: 2018-07-17T00:00:00Z
date_updated: 2026-09-02T22:30:58Z
day: '17'
department:
- _id: KrCh
doi: 10.24963/ijcai.2018/653
ec_funded: 1
external_id:
arxiv:
- '1804.08984'
isi:
- '000764175404118'
intvolume: ' 2018'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1804.08984
month: '07'
oa: 1
oa_version: Preprint
page: 4700-4707
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'
publication: Proceedings of the Twenty-Seventh International Joint Conference on Artificial
Intelligence
publication_identifier:
isbn:
- '9780999241127'
issn:
- 1045-0823
publication_status: published
publisher: IJCAI
quality_controlled: '1'
related_material:
record:
- id: '8934'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Computational approaches for stochastic shortest path on succinct MDPs
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2018
year: '2018'
...
---
_id: '1194'
abstract:
- lang: eng
text: 'Termination is one of the basic liveness properties, and we study the termination
problem for probabilistic programs with real-valued variables. Previous works
focused on the qualitative problem that asks whether an input program terminates
with probability~1 (almost-sure termination). A powerful approach for this qualitative
problem is the notion of ranking supermartingales with respect to a given set
of invariants. The quantitative problem (probabilistic termination) asks for bounds
on the termination probability. A fundamental and conceptual drawback of the existing
approaches to address probabilistic termination is that even though the supermartingales
consider the probabilistic behavior of the programs, the invariants are obtained
completely ignoring the probabilistic aspect. In this work we address the probabilistic
termination problem for linear-arithmetic probabilistic programs with nondeterminism.
We define the notion of {\em stochastic invariants}, which are constraints along
with a probability bound that the constraints hold. We introduce a concept of
{\em repulsing supermartingales}. First, we show that repulsing supermartingales
can be used to obtain bounds on the probability of the stochastic invariants.
Second, we show the effectiveness of repulsing supermartingales in the following
three ways: (1)~With a combination of ranking and repulsing supermartingales we
can compute lower bounds on the probability of termination; (2)~repulsing supermartingales
provide witnesses for refutation of almost-sure termination; and (3)~with a combination
of ranking and repulsing supermartingales we can establish persistence properties
of probabilistic programs. We also present results on related computational problems
and an experimental evaluation of our approach on academic examples. '
alternative_title:
- ACM SIGPLAN Notices
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: Petr
full_name: Novotny, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotny
- first_name: Djordje
full_name: Zikelic, Djordje
last_name: Zikelic
citation:
ama: 'Chatterjee K, Novotný P, Zikelic D. Stochastic invariants for probabilistic
termination. In: Vol 52. ACM; 2017:145-160. doi:10.1145/3009837.3009873'
apa: 'Chatterjee, K., Novotný, P., & Zikelic, D. (2017). Stochastic invariants
for probabilistic termination (Vol. 52, pp. 145–160). Presented at the POPL: Principles
of Programming Languages, Paris, France: ACM. https://doi.org/10.1145/3009837.3009873'
chicago: Chatterjee, Krishnendu, Petr Novotný, and Djordje Zikelic. “Stochastic
Invariants for Probabilistic Termination,” 52:145–60. ACM, 2017. https://doi.org/10.1145/3009837.3009873.
ieee: 'K. Chatterjee, P. Novotný, and D. Zikelic, “Stochastic invariants for probabilistic
termination,” presented at the POPL: Principles of Programming Languages, Paris,
France, 2017, vol. 52, no. 1, pp. 145–160.'
ista: 'Chatterjee K, Novotný P, Zikelic D. 2017. Stochastic invariants for probabilistic
termination. POPL: Principles of Programming Languages, ACM SIGPLAN Notices, vol.
52, 145–160.'
mla: Chatterjee, Krishnendu, et al. Stochastic Invariants for Probabilistic Termination.
Vol. 52, no. 1, ACM, 2017, pp. 145–60, doi:10.1145/3009837.3009873.
short: K. Chatterjee, P. Novotný, D. Zikelic, in:, ACM, 2017, pp. 145–160.
conference:
end_date: 2017-01-21
location: Paris, France
name: 'POPL: Principles of Programming Languages'
start_date: 2017-01-15
date_created: 2018-12-11T11:50:39Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2026-04-07T13:27:56Z
day: '01'
department:
- _id: KrCh
doi: 10.1145/3009837.3009873
ec_funded: 1
external_id:
arxiv:
- '1611.01063'
isi:
- '000408311200013'
intvolume: ' 52'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1611.01063
month: '01'
oa: 1
oa_version: Submitted Version
page: 145 - 160
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication_identifier:
issn:
- 0730-8566
publication_status: published
publisher: ACM
publist_id: '6157'
quality_controlled: '1'
related_material:
record:
- id: '14539'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Stochastic invariants for probabilistic termination
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2017'
...
---
_id: '1294'
abstract:
- lang: eng
text: We study controller synthesis problems for finite-state Markov decision processes,
where the objective is to optimize the expected mean-payoff performance and stability
(also known as variability in the literature). We argue that the basic notion
of expressing the stability using the statistical variance of the mean payoff
is sometimes insufficient, and propose an alternative definition. We show that
a strategy ensuring both the expected mean payoff and the variance below given
bounds requires randomization and memory, under both the above definitions. We
then show that the problem of finding such a strategy can be expressed as a set
of constraints.
article_processing_charge: No
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vojtěch
full_name: Forejt, Vojtěch
last_name: Forejt
- first_name: Antonín
full_name: Kučera, Antonín
last_name: Kučera
citation:
ama: Brázdil T, Chatterjee K, Forejt V, Kučera A. Trading performance for stability
in Markov decision processes. Journal of Computer and System Sciences.
2017;84:144-170. doi:10.1016/j.jcss.2016.09.009
apa: Brázdil, T., Chatterjee, K., Forejt, V., & Kučera, A. (2017). Trading performance
for stability in Markov decision processes. Journal of Computer and System
Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2016.09.009
chicago: Brázdil, Tomáš, Krishnendu Chatterjee, Vojtěch Forejt, and Antonín Kučera.
“Trading Performance for Stability in Markov Decision Processes.” Journal of
Computer and System Sciences. Elsevier, 2017. https://doi.org/10.1016/j.jcss.2016.09.009.
ieee: T. Brázdil, K. Chatterjee, V. Forejt, and A. Kučera, “Trading performance
for stability in Markov decision processes,” Journal of Computer and System
Sciences, vol. 84. Elsevier, pp. 144–170, 2017.
ista: Brázdil T, Chatterjee K, Forejt V, Kučera A. 2017. Trading performance for
stability in Markov decision processes. Journal of Computer and System Sciences.
84, 144–170.
mla: Brázdil, Tomáš, et al. “Trading Performance for Stability in Markov Decision
Processes.” Journal of Computer and System Sciences, vol. 84, Elsevier,
2017, pp. 144–70, doi:10.1016/j.jcss.2016.09.009.
short: T. Brázdil, K. Chatterjee, V. Forejt, A. Kučera, Journal of Computer and
System Sciences 84 (2017) 144–170.
date_created: 2018-12-11T11:51:12Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2025-09-29T14:16:56Z
day: '01'
ddc:
- '004'
- '006'
department:
- _id: KrCh
doi: 10.1016/j.jcss.2016.09.009
ec_funded: 1
external_id:
isi:
- '000388430000011'
file:
- access_level: open_access
checksum: 91271b23cf884d7c06d33bef0cd623b1
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:11:30Z
date_updated: 2020-07-14T12:44:42Z
file_id: '4885'
file_name: IST-2016-717-v1+1_1-s2.0-S0022000016300897-main.pdf
file_size: 708657
relation: main_file
file_date_updated: 2020-07-14T12:44:42Z
has_accepted_license: '1'
intvolume: ' 84'
isi: 1
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 144 - 170
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'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: Journal of Computer and System Sciences
publication_status: published
publisher: Elsevier
publist_id: '6009'
pubrep_id: '717'
quality_controlled: '1'
related_material:
record:
- id: '2305'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Trading performance for stability in Markov decision processes
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: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 84
year: '2017'
...
---
_id: '13160'
abstract:
- lang: eng
text: "Transforming deterministic ω\r\n-automata into deterministic parity automata
is traditionally done using variants of appearance records. We present a more
efficient variant of this approach, tailored to Rabin automata, and several optimizations
applicable to all appearance records. We compare the methods experimentally and
find out that our method produces smaller automata than previous approaches. Moreover,
the experiments demonstrate the potential of our method for LTL synthesis, using
LTL-to-Rabin translators. It leads to significantly smaller parity automata when
compared to state-of-the-art approaches on complex formulae."
acknowledgement: This work is partially funded by the DFG project “Verified Model
Checkers” and by the Czech Science Foundation, grant No. P202/12/G061.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Tobias
full_name: Meggendorfer, Tobias
id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
last_name: Meggendorfer
orcid: 0000-0002-1712-2165
- first_name: Clara
full_name: Waldmann, Clara
last_name: Waldmann
- first_name: Maximilian
full_name: Weininger, Maximilian
last_name: Weininger
citation:
ama: 'Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. Index appearance record
for transforming Rabin automata into parity automata. In: Tools and Algorithms
for the Construction and Analysis of Systems. Vol 10205. Springer; 2017:443-460.
doi:10.1007/978-3-662-54577-5_26'
apa: 'Kretinsky, J., Meggendorfer, T., Waldmann, C., & Weininger, M. (2017).
Index appearance record for transforming Rabin automata into parity automata.
In Tools and Algorithms for the Construction and Analysis of Systems (Vol.
10205, pp. 443–460). Uppsala, Sweden: Springer. https://doi.org/10.1007/978-3-662-54577-5_26'
chicago: Kretinsky, Jan, Tobias Meggendorfer, Clara Waldmann, and Maximilian Weininger.
“Index Appearance Record for Transforming Rabin Automata into Parity Automata.”
In Tools and Algorithms for the Construction and Analysis of Systems, 10205:443–60.
Springer, 2017. https://doi.org/10.1007/978-3-662-54577-5_26.
ieee: J. Kretinsky, T. Meggendorfer, C. Waldmann, and M. Weininger, “Index appearance
record for transforming Rabin automata into parity automata,” in Tools and
Algorithms for the Construction and Analysis of Systems, Uppsala, Sweden,
2017, vol. 10205, pp. 443–460.
ista: 'Kretinsky J, Meggendorfer T, Waldmann C, Weininger M. 2017. Index appearance
record for transforming Rabin automata into parity automata. Tools and Algorithms
for the Construction and Analysis of Systems. TACAS: Tools and Algorithms for
the Construction and Analysis of Systems, LNCS, vol. 10205, 443–460.'
mla: Kretinsky, Jan, et al. “Index Appearance Record for Transforming Rabin Automata
into Parity Automata.” Tools and Algorithms for the Construction and Analysis
of Systems, vol. 10205, Springer, 2017, pp. 443–60, doi:10.1007/978-3-662-54577-5_26.
short: J. Kretinsky, T. Meggendorfer, C. Waldmann, M. Weininger, in:, Tools and
Algorithms for the Construction and Analysis of Systems, Springer, 2017, pp. 443–460.
conference:
end_date: 2017-04-29
location: Uppsala, Sweden
name: 'TACAS: Tools and Algorithms for the Construction and Analysis of Systems'
start_date: 2017-04-22
corr_author: '1'
date_created: 2023-06-21T13:21:14Z
date_published: 2017-03-31T00:00:00Z
date_updated: 2025-09-18T10:42:48Z
day: '31'
department:
- _id: KrCh
doi: 10.1007/978-3-662-54577-5_26
external_id:
arxiv:
- '1701.05738'
isi:
- '000440734900026'
intvolume: ' 10205'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1701.05738
month: '03'
oa: 1
oa_version: Preprint
page: 443-460
publication: Tools and Algorithms for the Construction and Analysis of Systems
publication_identifier:
eisbn:
- '9783662545775'
eissn:
- 1611-3349
isbn:
- '9783662545768'
issn:
- 0302-9743
publication_status: published
publisher: Springer
quality_controlled: '1'
status: public
title: Index appearance record for transforming Rabin automata into parity automata
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10205
year: '2017'
...
---
_id: '1407'
abstract:
- lang: eng
text: We consider the problem of computing the set of initial states of a dynamical
system such that there exists a control strategy to ensure that the trajectories
satisfy a temporal logic specification with probability 1 (almost-surely). We
focus on discrete-time, stochastic linear dynamics and specifications given as
formulas of the Generalized Reactivity(1) fragment of Linear Temporal Logic over
linear predicates in the states of the system. We propose a solution based on
iterative abstraction-refinement, and turn-based 2-player probabilistic games.
While the theoretical guarantee of our algorithm after any finite number of iterations
is only a partial solution, we show that if our algorithm terminates, then the
result is the set of all satisfying initial states. Moreover, for any (partial)
solution our algorithm synthesizes witness control strategies to ensure almost-sure
satisfaction of the temporal logic specification. While the proposed algorithm
guarantees progress and soundness in every iteration, it is computationally demanding.
We offer an alternative, more efficient solution for the reachability properties
that decomposes the problem into a series of smaller problems of the same type.
All algorithms are demonstrated on an illustrative case study.
article_processing_charge: No
arxiv: 1
author:
- first_name: Mária
full_name: Svoreňová, Mária
last_name: Svoreňová
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ivana
full_name: Cěrná, Ivana
last_name: Cěrná
- first_name: Cǎlin
full_name: Belta, Cǎlin
last_name: Belta
citation:
ama: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. Temporal
logic control for stochastic linear systems using abstraction refinement of probabilistic
games. Nonlinear Analysis: Hybrid Systems. 2017;23(2):230-253. doi:10.1016/j.nahs.2016.04.006'
apa: 'Svoreňová, M., Kretinsky, J., Chmelik, M., Chatterjee, K., Cěrná, I., &
Belta, C. (2017). Temporal logic control for stochastic linear systems using abstraction
refinement of probabilistic games. Nonlinear Analysis: Hybrid Systems.
Elsevier. https://doi.org/10.1016/j.nahs.2016.04.006'
chicago: 'Svoreňová, Mária, Jan Kretinsky, Martin Chmelik, Krishnendu Chatterjee,
Ivana Cěrná, and Cǎlin Belta. “Temporal Logic Control for Stochastic Linear Systems
Using Abstraction Refinement of Probabilistic Games.” Nonlinear Analysis: Hybrid
Systems. Elsevier, 2017. https://doi.org/10.1016/j.nahs.2016.04.006.'
ieee: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, and C. Belta,
“Temporal logic control for stochastic linear systems using abstraction refinement
of probabilistic games,” Nonlinear Analysis: Hybrid Systems, vol. 23, no.
2. Elsevier, pp. 230–253, 2017.'
ista: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. 2017.
Temporal logic control for stochastic linear systems using abstraction refinement
of probabilistic games. Nonlinear Analysis: Hybrid Systems. 23(2), 230–253.'
mla: 'Svoreňová, Mária, et al. “Temporal Logic Control for Stochastic Linear Systems
Using Abstraction Refinement of Probabilistic Games.” Nonlinear Analysis: Hybrid
Systems, vol. 23, no. 2, Elsevier, 2017, pp. 230–53, doi:10.1016/j.nahs.2016.04.006.'
short: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, C. Belta,
Nonlinear Analysis: Hybrid Systems 23 (2017) 230–253.'
date_created: 2018-12-11T11:51:50Z
date_published: 2017-02-01T00:00:00Z
date_updated: 2025-06-11T06:33:00Z
day: '01'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1016/j.nahs.2016.04.006
ec_funded: 1
external_id:
arxiv:
- '1410.5387'
isi:
- '000390637000014'
intvolume: ' 23'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1410.5387
month: '02'
oa: 1
oa_version: Preprint
page: 230 - 253
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _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
publication: 'Nonlinear Analysis: Hybrid Systems'
publication_status: published
publisher: Elsevier
publist_id: '5800'
quality_controlled: '1'
related_material:
record:
- id: '1689'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Temporal logic control for stochastic linear systems using abstraction refinement
of probabilistic games
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 23
year: '2017'
...
---
_id: '512'
abstract:
- lang: eng
text: 'The fixation probability is the probability that a new mutant introduced
in a homogeneous population eventually takes over the entire population. The fixation
probability is a fundamental quantity of natural selection, and known to depend
on the population structure. Amplifiers of natural selection are population structures
which increase the fixation probability of advantageous mutants, as compared to
the baseline case of well-mixed populations. In this work we focus on symmetric
population structures represented as undirected graphs. In the regime of undirected
graphs, the strongest amplifier known has been the Star graph, and the existence
of undirected graphs with stronger amplification properties has remained open
for over a decade. In this work we present the Comet and Comet-swarm families
of undirected graphs. We show that for a range of fitness values of the mutants,
the Comet and Cometswarm graphs have fixation probability strictly larger than
the fixation probability of the Star graph, for fixed population size and at the
limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
population structures: Comets beat stars. Scientific Reports. 2017;7(1).
doi:10.1038/s41598-017-00107-w'
apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak, M. (2017). Amplification
on undirected population structures: Comets beat stars. Scientific Reports.
Nature Publishing Group. https://doi.org/10.1038/s41598-017-00107-w'
chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
Scientific Reports. Nature Publishing Group, 2017. https://doi.org/10.1038/s41598-017-00107-w.'
ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
on undirected population structures: Comets beat stars,” Scientific Reports,
vol. 7, no. 1. Nature Publishing Group, 2017.'
ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
undirected population structures: Comets beat stars. Scientific Reports. 7(1),
82.'
mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
Comets Beat Stars.” Scientific Reports, vol. 7, no. 1, 82, Nature Publishing
Group, 2017, doi:10.1038/s41598-017-00107-w.'
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
7 (2017).
corr_author: '1'
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2025-09-18T09:50:10Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
external_id:
isi:
- '000396867800013'
file:
- access_level: open_access
checksum: 7d05cbdd914e194a019c0f91fb64e9a8
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:35Z
date_updated: 2020-07-14T12:46:36Z
file_id: '5357'
file_name: IST-2018-938-v1+1_2017_Pavlogiannis_Amplification_on.pdf
file_size: 1536783
relation: main_file
file_date_updated: 2020-07-14T12:46:36Z
has_accepted_license: '1'
intvolume: ' 7'
isi: 1
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published 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: Scientific Reports
publication_identifier:
issn:
- 2045-2322
publication_status: published
publisher: Nature Publishing Group
publist_id: '7307'
pubrep_id: '938'
quality_controlled: '1'
related_material:
record:
- id: '5449'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: 'Amplification on undirected population structures: Comets beat stars'
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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 7
year: '2017'
...
---
_id: '5455'
abstract:
- lang: eng
text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
reachability. The input is a graphwhere the edges are labeled with different types
of opening and closing parentheses, and the reachabilityinformation is computed
via paths whose parentheses are properly matched. We present new results for Dyckreachability
problems with applications to alias analysis and data-dependence analysis. Our
main contributions,that include improved upper bounds as well as lower bounds
that establish optimality guarantees, are asfollows:First, we consider Dyck reachability
on bidirected graphs, which is the standard way of performing field-sensitive
points-to analysis. Given a bidirected graph withnnodes andmedges, we present:
(i) an algorithmwith worst-case running timeO(m+n·α(n)), whereα(n)is the inverse
Ackermann function, improving thepreviously knownO(n2)time bound; (ii) a matching
lower bound that shows that our algorithm is optimalwrt to worst-case complexity;
and (iii) an optimal average-case upper bound ofO(m)time, improving thepreviously
knownO(m·logn)bound.Second, we consider the problem of context-sensitive data-dependence
analysis, where the task is to obtainanalysis summaries of library code in the
presence of callbacks. Our algorithm preprocesses libraries in almostlinear time,
after which the contribution of the library in the complexity of the client analysis
is only linear,and only wrt the number of call sites.Third, we prove that combinatorial
algorithms for Dyck reachability on general graphs with truly sub-cubic bounds
cannot be obtained without obtaining sub-cubic combinatorial algorithms for Boolean
MatrixMultiplication, which is a long-standing open problem. Thus we establish
that the existing combinatorialalgorithms for Dyck reachability are (conditionally)
optimal for general graphs. We also show that the samehardness holds for graphs
of constant treewidth.Finally, we provide a prototype implementation of our algorithms
for both alias analysis and data-dependenceanalysis. Our experimental evaluation
demonstrates that the new algorithms significantly outperform allexisting methods
on the two problems, over real-world benchmarks.'
alternative_title:
- IST Austria Technical Report
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: Bhavya
full_name: Choudhary, Bhavya
last_name: Choudhary
- 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, Choudhary B, Pavlogiannis A. Optimal Dyck Reachability for
Data-Dependence and Alias Analysis. IST Austria; 2017. doi:10.15479/AT:IST-2017-870-v1-1
apa: Chatterjee, K., Choudhary, B., & Pavlogiannis, A. (2017). Optimal Dyck
reachability for data-dependence and alias analysis. IST Austria. https://doi.org/10.15479/AT:IST-2017-870-v1-1
chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. Optimal
Dyck Reachability for Data-Dependence and Alias Analysis. IST Austria, 2017.
https://doi.org/10.15479/AT:IST-2017-870-v1-1.
ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, Optimal Dyck reachability
for data-dependence and alias analysis. IST Austria, 2017.
ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
for data-dependence and alias analysis, IST Austria, 37p.
mla: Chatterjee, Krishnendu, et al. Optimal Dyck Reachability for Data-Dependence
and Alias Analysis. IST Austria, 2017, doi:10.15479/AT:IST-2017-870-v1-1.
short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Optimal Dyck Reachability for
Data-Dependence and Alias Analysis, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2025-04-15T08:12:18Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-870-v1-1
file:
- access_level: open_access
checksum: 177a84a46e3ac17e87b31534ad16a4c9
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:02Z
date_updated: 2020-07-14T12:46:59Z
file_id: '5524'
file_name: IST-2017-870-v1+1_main.pdf
file_size: 960491
relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '37'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '870'
related_material:
record:
- id: '10416'
relation: later_version
status: public
status: public
title: Optimal Dyck reachability for data-dependence and alias analysis
type: technical_report
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2017'
...
---
_id: '5456'
abstract:
- lang: eng
text: "We present a new dynamic partial-order reduction method for stateless model
checking of concurrent programs. A common approach for exploring program behaviors
relies on enumerating the traces of the program, without storing the visited states
(aka stateless exploration). As the number of distinct traces grows exponentially,
dynamic partial-order reduction (DPOR) techniques have been successfully used
to partition the space of traces into equivalence classes (Mazurkiewicz partitioning),
with the goal of exploring only few representative traces from each class.\r\nWe
introduce a new equivalence on traces under sequential consistency semantics,
which we call the observation equivalence. Two traces are observationally equivalent
if every read event observes the same write event in both traces. While the traditional
Mazurkiewicz equivalence is control-centric, our new definition is data-centric.
We show that our observation equivalence is coarser than the Mazurkiewicz equivalence,
and in many cases even exponentially coarser. We devise a DPOR exploration of
the trace space, called data-centric DPOR, based on the observation equivalence.\r\n1.
For acyclic architectures, our algorithm is guaranteed to explore exactly one
representative trace from each observation class, while spending polynomial time
per class. Hence, our algorithm is optimal wrt the observation equivalence, and
in several cases explores exponentially fewer traces than any enumerative method
based on the Mazurkiewicz equivalence.\r\n2. For cyclic architectures, we consider
an equivalence between traces which is finer than the observation equivalence;
but coarser than the Mazurkiewicz equivalence, and in some cases is exponentially
coarser. Our data-centric DPOR algorithm remains optimal under this trace equivalence.
\r\nFinally, we perform a basic experimental comparison between the existing Mazurkiewicz-based
DPOR and our data-centric DPOR on a set of academic benchmarks. Our results show
a significant reduction in both running time and the number of explored equivalence
classes."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Marek
full_name: Chalupa, Marek
last_name: Chalupa
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Nishant
full_name: Sinha, Nishant
last_name: Sinha
- first_name: Kapil
full_name: Vaidya, Kapil
last_name: Vaidya
citation:
ama: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. Data-Centric
Dynamic Partial Order Reduction. IST Austria; 2017. doi:10.15479/AT:IST-2017-872-v1-1
apa: Chalupa, M., Chatterjee, K., Pavlogiannis, A., Sinha, N., & Vaidya, K.
(2017). Data-centric dynamic partial order reduction. IST Austria. https://doi.org/10.15479/AT:IST-2017-872-v1-1
chicago: Chalupa, Marek, Krishnendu Chatterjee, Andreas Pavlogiannis, Nishant Sinha,
and Kapil Vaidya. Data-Centric Dynamic Partial Order Reduction. IST Austria,
2017. https://doi.org/10.15479/AT:IST-2017-872-v1-1.
ieee: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, and K. Vaidya, Data-centric
dynamic partial order reduction. IST Austria, 2017.
ista: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. 2017. Data-centric
dynamic partial order reduction, IST Austria, 36p.
mla: Chalupa, Marek, et al. Data-Centric Dynamic Partial Order Reduction.
IST Austria, 2017, doi:10.15479/AT:IST-2017-872-v1-1.
short: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, K. Vaidya, Data-Centric
Dynamic Partial Order Reduction, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2025-05-20T09:45:08Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-872-v1-1
file:
- access_level: open_access
checksum: d2635c4cf013000f0a1b09e80f9e4ab7
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:26Z
date_updated: 2020-07-14T12:46:59Z
file_id: '5487'
file_name: IST-2017-872-v1+1_main.pdf
file_size: 910347
relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '36'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '872'
related_material:
record:
- id: '5448'
relation: earlier_version
status: public
- id: '10417'
relation: later_version
status: public
status: public
title: Data-centric dynamic partial order reduction
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '551'
abstract:
- lang: eng
text: 'Evolutionary graph theory studies the evolutionary dynamics in a population
structure given as a connected graph. Each node of the graph represents an individual
of the population, and edges determine how offspring are placed. We consider the
classical birth-death Moran process where there are two types of individuals,
namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates
the reproductive strength. The evolutionary dynamics happens as follows: in the
initial step, in a population of all resident individuals a mutant is introduced,
and then at each step, an individual is chosen proportional to the fitness of
its type to reproduce, and the offspring replaces a neighbor uniformly at random.
The process stops when all individuals are either residents or mutants. The probability
that all individuals in the end are mutants is called the fixation probability,
which is a key factor in the rate of evolution. We consider the problem of approximating
the fixation probability. The class of algorithms that is extremely relevant for
approximation of the fixation probabilities is the Monte-Carlo simulation of the
process. Previous results present a polynomial-time Monte-Carlo algorithm for
undirected graphs when r is given in unary. First, we present a simple modification:
instead of simulating each step, we discard ineffective steps, where no node changes
type (i.e., either residents replace residents, or mutants replace mutants). Using
the above simple modification and our result that the number of effective steps
is concentrated around the expected number of effective steps, we present faster
polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are
always at least a factor O(n2/ log n) faster as compared to the previous algorithms,
where n is the number of nodes, and is polynomial even if r is given in binary.
We also present lower bounds showing that the upper bound on the expected number
of effective steps we present is asymptotically tight for undirected graphs. '
alternative_title:
- LIPIcs
article_number: '61'
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: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation
probability of the Moran process on undirected graphs. In: Leibniz International
Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.61'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2017). Faster Monte Carlo
algorithms for fixation probability of the Moran process on undirected graphs.
In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg,
Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.61'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster
Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected
Graphs.” In Leibniz International Proceedings in Informatics, Vol. 83.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.61.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs,” in Leibniz
International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs. Leibniz International
Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science,
LIPIcs, vol. 83, 61.'
mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation
Probability of the Moran Process on Undirected Graphs.” Leibniz International
Proceedings in Informatics, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.61.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-07-10T11:52:51Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.61
file:
- access_level: open_access
checksum: 2eed5224c0e4e259484a1d71acb8ba6a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:04Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5322'
file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
file_size: 535077
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
on undirected graphs
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: 83
year: '2017'
...
---
_id: '552'
abstract:
- lang: eng
text: 'Graph games provide the foundation for modeling and synthesis of reactive
processes. Such games are played over graphs where the vertices are controlled
by two adversarial players. We consider graph games where the objective of the
first player is the conjunction of a qualitative objective (specified as a parity
condition) and a quantitative objective (specified as a meanpayoff condition).
There are two variants of the problem, namely, the threshold problem where the
quantitative goal is to ensure that the mean-payoff value is above a threshold,
and the value problem where the quantitative goal is to ensure the optimal mean-payoff
value; in both cases ensuring the qualitative parity objective. The previous best-known
algorithms for game graphs with n vertices, m edges, parity objectives with d
priorities, and maximal absolute reward value W for mean-payoff objectives, are
as follows: O(nd+1 . m . w) for the threshold problem, and O(nd+2 · m · W) for
the value problem. Our main contributions are faster algorithms, and the running
times of our algorithms are as follows: O(nd-1 · m ·W) for the threshold problem,
and O(nd · m · W · log(n · W)) for the value problem. For mean-payoff parity objectives
with two priorities, our algorithms match the best-known bounds of the algorithms
for mean-payoff games (without conjunction with parity objectives). Our results
are relevant in synthesis of reactive systems with both functional requirement
(given as a qualitative objective) and performance requirement (given as a quantitative
objective).'
alternative_title:
- LIPIcs
article_number: '39'
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Henzinger M, Svozil A. Faster algorithms for mean-payoff parity
games. In: Leibniz International Proceedings in Informatics. Vol 83. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.39'
apa: 'Chatterjee, K., Henzinger, M., & Svozil, A. (2017). Faster algorithms
for mean-payoff parity games. In Leibniz International Proceedings in Informatics
(Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2017.39'
chicago: Chatterjee, Krishnendu, Monika Henzinger, and Alexander Svozil. “Faster
Algorithms for Mean-Payoff Parity Games.” In Leibniz International Proceedings
in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.39.
ieee: K. Chatterjee, M. Henzinger, and A. Svozil, “Faster algorithms for mean-payoff
parity games,” in Leibniz International Proceedings in Informatics, Aalborg,
Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Henzinger M, Svozil A. 2017. Faster algorithms for mean-payoff
parity games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
Foundations of Computer Science, LIPIcs, vol. 83, 39.'
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Mean-Payoff Parity Games.”
Leibniz International Proceedings in Informatics, vol. 83, 39, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.39.
short: K. Chatterjee, M. Henzinger, A. Svozil, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-07-10T11:52:52Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.39
ec_funded: 1
file:
- access_level: open_access
checksum: c67f4866ddbfd555afef1f63ae9a8fc7
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:57Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5248'
file_name: IST-2018-923-v1+1_LIPIcs-MFCS-2017-39.pdf
file_size: 610339
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '11'
oa: 1
oa_version: Published Version
project:
- _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: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7262'
pubrep_id: '923'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for mean-payoff parity games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '553'
abstract:
- lang: eng
text: 'We consider two player, zero-sum, finite-state concurrent reachability games,
played for an infinite number of rounds, where in every round, each player simultaneously
and independently of the other players chooses an action, whereafter the successor
state is determined by a probability distribution given by the current state and
the chosen actions. Player 1 wins iff a designated goal state is eventually visited.
We are interested in the complexity of stationary strategies measured by their
patience, which is defined as the inverse of the smallest non-zero probability
employed. Our main results are as follows: We show that: (i) the optimal bound
on the patience of optimal and -optimal strategies, for both players is doubly
exponential; and (ii) even in games with a single non-absorbing state exponential
(in the number of actions) patience is necessary. '
alternative_title:
- LIPIcs
article_number: '55'
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: Kristofer
full_name: Hansen, Kristofer
last_name: Hansen
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent
safety games. In: Leibniz International Proceedings in Informatics. Vol
83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.55'
apa: 'Chatterjee, K., Hansen, K., & Ibsen-Jensen, R. (2017). Strategy complexity
of concurrent safety games. In Leibniz International Proceedings in Informatics
(Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2017.55'
chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy
Complexity of Concurrent Safety Games.” In Leibniz International Proceedings
in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.55.
ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent
safety games,” in Leibniz International Proceedings in Informatics, Aalborg,
Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent
safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
Foundations of Computer Science, LIPIcs, vol. 83, 55.'
mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.”
Leibniz International Proceedings in Informatics, vol. 83, 55, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.55.
short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2017-08-21
corr_author: '1'
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2025-06-04T09:37:06Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.55
external_id:
arxiv:
- '1506.02434'
file:
- access_level: open_access
checksum: 7101facb56ade363205c695d72dbd173
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:29Z
date_updated: 2020-07-14T12:47:00Z
file_id: '4753'
file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf
file_size: 549967
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1506.02434
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7261'
pubrep_id: '922'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Strategy complexity of concurrent safety games
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: 83
year: '2017'
...
---
_id: '5559'
abstract:
- lang: eng
text: Strong amplifiers of natural selection
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak , Martin
last_name: 'Nowak '
citation:
ama: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Strong amplifiers of natural
selection. 2017. doi:10.15479/AT:ISTA:51
apa: Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak , M. (2017). Strong
amplifiers of natural selection. Institute of Science and Technology Austria.
https://doi.org/10.15479/AT:ISTA:51
chicago: Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak . “Strong Amplifiers of Natural Selection.” Institute of Science and Technology
Austria, 2017. https://doi.org/10.15479/AT:ISTA:51.
ieee: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak , “Strong amplifiers
of natural selection.” Institute of Science and Technology Austria, 2017.
ista: Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Strong amplifiers
of natural selection, Institute of Science and Technology Austria, 10.15479/AT:ISTA:51.
mla: Pavlogiannis, Andreas, et al. Strong Amplifiers of Natural Selection.
Institute of Science and Technology Austria, 2017, doi:10.15479/AT:ISTA:51.
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak , (2017).
datarep_id: '51'
date_created: 2018-12-12T12:31:32Z
date_published: 2017-01-02T00:00:00Z
date_updated: 2025-04-15T08:12:19Z
day: '02'
ddc:
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:ISTA:51
ec_funded: 1
file:
- access_level: open_access
checksum: b427dd46a30096a1911b245640c47af8
content_type: video/mp4
creator: system
date_created: 2018-12-12T13:05:18Z
date_updated: 2020-07-14T12:47:02Z
file_id: '5644'
file_name: IST-2017-51-v1+2_illustration.mp4
file_size: 32987015
relation: main_file
file_date_updated: 2020-07-14T12:47:02Z
has_accepted_license: '1'
keyword:
- natural selection
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publisher: Institute of Science and Technology Austria
related_material:
record:
- id: '5452'
relation: research_paper
status: public
- id: '5751'
relation: research_paper
status: public
status: public
title: Strong amplifiers of natural selection
type: research_data
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '625'
abstract:
- lang: eng
text: In the analysis of reactive systems a quantitative objective assigns a real
value to every trace of the system. The value decision problem for a quantitative
objective requires a trace whose value is at least a given threshold, and the
exact value decision problem requires a trace whose value is exactly the threshold.
We compare the computational complexity of the value and exact value decision
problems for classical quantitative objectives, such as sum, discounted sum, energy,
and mean-payoff for two standard models of reactive systems, namely, graphs and
graph games.
acknowledgement: 'This research was supported in part by the Austrian Science Fund
(FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein
Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund
(WWTF) through project ICT15-003.'
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Chatterjee K, Doyen L, Henzinger TA. The cost of exactness in quantitative
reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds.
Models, Algorithms, Logics and Tools. Vol 10460. Theoretical Computer Science
and General Issues. Springer; 2017:367-381. doi:10.1007/978-3-319-63121-9_18'
apa: Chatterjee, K., Doyen, L., & Henzinger, T. A. (2017). The cost of exactness
in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay,
& R. Mardare (Eds.), Models, Algorithms, Logics and Tools (Vol. 10460,
pp. 367–381). Springer. https://doi.org/10.1007/978-3-319-63121-9_18
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost
of Exactness in Quantitative Reachability.” In Models, Algorithms, Logics and
Tools, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay,
and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues.
Springer, 2017. https://doi.org/10.1007/978-3-319-63121-9_18.
ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative
reachability,” in Models, Algorithms, Logics and Tools, vol. 10460, L.
Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017,
pp. 367–381.
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative
reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.'
mla: Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.”
Models, Algorithms, Logics and Tools, edited by Luca Aceto et al., vol.
10460, Springer, 2017, pp. 367–81, doi:10.1007/978-3-319-63121-9_18.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir,
A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017,
pp. 367–381.
date_created: 2018-12-11T11:47:34Z
date_published: 2017-07-25T00:00:00Z
date_updated: 2025-04-15T06:26:15Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-63121-9_18
ec_funded: 1
editor:
- first_name: Luca
full_name: Aceto, Luca
last_name: Aceto
- first_name: Giorgio
full_name: Bacci, Giorgio
last_name: Bacci
- first_name: Anna
full_name: Ingólfsdóttir, Anna
last_name: Ingólfsdóttir
- first_name: Axel
full_name: Legay, Axel
last_name: Legay
- first_name: Radu
full_name: Mardare, Radu
last_name: Mardare
file:
- access_level: open_access
checksum: b2402766ec02c79801aac634bd8f9f6c
content_type: application/pdf
creator: dernst
date_created: 2019-11-19T08:06:50Z
date_updated: 2020-07-14T12:47:25Z
file_id: '7048'
file_name: 2017_ModelsAlgorithms_Chatterjee.pdf
file_size: 192826
relation: main_file
file_date_updated: 2020-07-14T12:47:25Z
has_accepted_license: '1'
intvolume: ' 10460'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 367 - 381
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: Formal methods for the design and analysis of complex systems
- _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
publication: Models, Algorithms, Logics and Tools
publication_identifier:
isbn:
- 978-3-319-63120-2
issn:
- 0302-9743
publication_status: published
publisher: Springer
publist_id: '7170'
quality_controlled: '1'
scopus_import: '1'
series_title: Theoretical Computer Science and General Issues
status: public
title: The cost of exactness in quantitative reachability
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10460
year: '2017'
...
---
_id: '628'
abstract:
- lang: eng
text: We consider the problem of developing automated techniques for solving recurrence
relations to aid the expected-runtime analysis of programs. The motivation is
that several classical textbook algorithms have quite efficient expected-runtime
complexity, whereas the corresponding worst-case bounds are either inefficient
(e.g., Quick-Sort), or completely ineffective (e.g., Coupon-Collector). Since
the main focus of expected-runtime analysis is to obtain efficient bounds, we
consider bounds that are either logarithmic, linear or almost-linear (O(log n),
O(n), O(n · log n), respectively, where n represents the input size). Our main
contribution is an efficient (simple linear-time algorithm) sound approach for
deriving such expected-runtime bounds for the analysis of recurrence relations
induced by randomized algorithms. The experimental results show that our approach
can efficiently derive asymptotically optimal expected-runtime bounds for recurrences
of classical randomized algorithms, including Randomized-Search, Quick-Sort, Quick-Select,
Coupon-Collector, where the worst-case bounds are either inefficient (such as
linear as compared to logarithmic expected-runtime complexity, or quadratic as
compared to linear or almost-linear expected-runtime complexity), or ineffective.
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: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Aniket
full_name: Murhekar, Aniket
last_name: Murhekar
citation:
ama: 'Chatterjee K, Fu H, Murhekar A. Automated recurrence analysis for almost linear
expected runtime bounds. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:118-139.
doi:10.1007/978-3-319-63387-9_6'
apa: 'Chatterjee, K., Fu, H., & Murhekar, A. (2017). Automated recurrence analysis
for almost linear expected runtime bounds. In R. Majumdar & V. Kunčak (Eds.)
(Vol. 10426, pp. 118–139). Presented at the CAV: Computer Aided Verification,
Heidelberg, Germany: Springer. https://doi.org/10.1007/978-3-319-63387-9_6'
chicago: Chatterjee, Krishnendu, Hongfei Fu, and Aniket Murhekar. “Automated Recurrence
Analysis for Almost Linear Expected Runtime Bounds.” edited by Rupak Majumdar
and Viktor Kunčak, 10426:118–39. Springer, 2017. https://doi.org/10.1007/978-3-319-63387-9_6.
ieee: 'K. Chatterjee, H. Fu, and A. Murhekar, “Automated recurrence analysis for
almost linear expected runtime bounds,” presented at the CAV: Computer Aided Verification,
Heidelberg, Germany, 2017, vol. 10426, pp. 118–139.'
ista: 'Chatterjee K, Fu H, Murhekar A. 2017. Automated recurrence analysis for almost
linear expected runtime bounds. CAV: Computer Aided Verification, LNCS, vol. 10426,
118–139.'
mla: Chatterjee, Krishnendu, et al. Automated Recurrence Analysis for Almost
Linear Expected Runtime Bounds. Edited by Rupak Majumdar and Viktor Kunčak,
vol. 10426, Springer, 2017, pp. 118–39, doi:10.1007/978-3-319-63387-9_6.
short: K. Chatterjee, H. Fu, A. Murhekar, in:, R. Majumdar, V. Kunčak (Eds.), Springer,
2017, pp. 118–139.
conference:
end_date: 2017-07-28
location: Heidelberg, Germany
name: 'CAV: Computer Aided Verification'
start_date: 2017-07-24
date_created: 2018-12-11T11:47:35Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-09-11T07:28:26Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63387-9_6
ec_funded: 1
editor:
- first_name: Rupak
full_name: Majumdar, Rupak
last_name: Majumdar
- first_name: Viktor
full_name: Kunčak, Viktor
last_name: Kunčak
external_id:
arxiv:
- '1705.00314'
isi:
- '000432196400006'
intvolume: ' 10426'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1705.00314
month: '01'
oa: 1
oa_version: Submitted Version
page: 118 - 139
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'
publication_identifier:
isbn:
- 978-331963386-2
publication_status: published
publisher: Springer
publist_id: '7166'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Automated recurrence analysis for almost linear expected runtime bounds
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10426
year: '2017'
...
---
_id: '1009'
abstract:
- lang: eng
text: A standard objective in partially-observable Markov decision processes (POMDPs)
is to find a policy that maximizes the expected discounted-sum payoff. However,
such policies may still permit unlikely but highly undesirable outcomes, which
is problematic especially in safety-critical applications. Recently, there has
been a surge of interest in POMDPs where the goal is to maximize the probability
to ensure that the payoff is at least a given threshold, but these approaches
do not consider any optimization beyond satisfying this threshold constraint.
In this work we go beyond both the “expectation” and “threshold” approaches and
consider a “guaranteed payoff optimization (GPO)” problem for POMDPs, where we
are given a threshold t and the objective is to find a policy σ such that a) each
possible outcome of σ yields a discounted-sum payoff of at least t, and b) the
expected discounted-sum payoff of σ is optimal (or near-optimal) among all policies
satisfying a). We present a practical approach to tackle the GPO problem and evaluate
it on standard POMDP benchmarks.
acknowledgement: 'he research leading to these results was supported by the Austrian
Science Fund (FWF) NFN Grant no. S11407-N23 (RiSE/SHiNE); two ERC Starting grants
(279307: Graph Games, 279499: inVEST); the Vienna Science and Tech- nology Fund
(WWTF) through project ICT15-003; and the People Programme (Marie Curie Actions)
of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant
agreement no. [291734].'
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: Petr
full_name: Novotny, Petr
id: 3CC3B868-F248-11E8-B48F-1D18A9856A87
last_name: Novotny
- first_name: Guillermo
full_name: Pérez, Guillermo
last_name: Pérez
- first_name: Jean
full_name: Raskin, Jean
last_name: Raskin
- first_name: Djordje
full_name: Zikelic, Djordje
last_name: Zikelic
citation:
ama: 'Chatterjee K, Novotný P, Pérez G, Raskin J, Zikelic D. Optimizing expectation
with guarantees in POMDPs. In: Proceedings of the 31st AAAI Conference on Artificial
Intelligence. Vol 5. AAAI Press; 2017:3725-3732.'
apa: 'Chatterjee, K., Novotný, P., Pérez, G., Raskin, J., & Zikelic, D. (2017).
Optimizing expectation with guarantees in POMDPs. In Proceedings of the 31st
AAAI Conference on Artificial Intelligence (Vol. 5, pp. 3725–3732). San Francisco,
CA, United States: AAAI Press.'
chicago: Chatterjee, Krishnendu, Petr Novotný, Guillermo Pérez, Jean Raskin, and
Djordje Zikelic. “Optimizing Expectation with Guarantees in POMDPs.” In Proceedings
of the 31st AAAI Conference on Artificial Intelligence, 5:3725–32. AAAI Press,
2017.
ieee: K. Chatterjee, P. Novotný, G. Pérez, J. Raskin, and D. Zikelic, “Optimizing
expectation with guarantees in POMDPs,” in Proceedings of the 31st AAAI Conference
on Artificial Intelligence, San Francisco, CA, United States, 2017, vol. 5,
pp. 3725–3732.
ista: 'Chatterjee K, Novotný P, Pérez G, Raskin J, Zikelic D. 2017. Optimizing expectation
with guarantees in POMDPs. Proceedings of the 31st AAAI Conference on Artificial
Intelligence. AAAI: Conference on Artificial Intelligence vol. 5, 3725–3732.'
mla: Chatterjee, Krishnendu, et al. “Optimizing Expectation with Guarantees in POMDPs.”
Proceedings of the 31st AAAI Conference on Artificial Intelligence, vol.
5, AAAI Press, 2017, pp. 3725–32.
short: K. Chatterjee, P. Novotný, G. Pérez, J. Raskin, D. Zikelic, in:, Proceedings
of the 31st AAAI Conference on Artificial Intelligence, AAAI Press, 2017, pp.
3725–3732.
conference:
end_date: 2017-02-10
location: San Francisco, CA, United States
name: 'AAAI: Conference on Artificial Intelligence'
start_date: 2017-02-04
date_created: 2018-12-11T11:49:40Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2025-04-14T13:51:03Z
day: '01'
department:
- _id: KrCh
ec_funded: 1
external_id:
isi:
- '000485630703107'
intvolume: ' 5'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.aaai.org/ocs/index.php/AAAI/AAAI17/paper/download/14354/14092
month: '01'
oa: 1
oa_version: Submitted Version
page: 3725 - 3732
project:
- _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: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Proceedings of the 31st AAAI Conference on Artificial Intelligence
publication_status: published
publisher: AAAI Press
publist_id: '6387'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimizing expectation with guarantees in POMDPs
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 5
year: '2017'
...