---
_id: '1689'
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 satisfying initial states. Moreover, for any (partial) solution
our algorithm synthesizes witness control strategies to ensure almost-sure satisfaction
of the temporal logic specification. We demonstrate our approach 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. In: Proceedings of the 18th International Conference on Hybrid Systems:
Computation and Control. ACM; 2015:259-268. doi:10.1145/2728606.2728608'
apa: 'Svoreňová, M., Kretinsky, J., Chmelik, M., Chatterjee, K., Cěrná, I., &
Belta, C. (2015). Temporal logic control for stochastic linear systems using abstraction
refinement of probabilistic games. In Proceedings of the 18th International
Conference on Hybrid Systems: Computation and Control (pp. 259–268). Seattle,
WA, United States: ACM. https://doi.org/10.1145/2728606.2728608'
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.” In Proceedings of the
18th International Conference on Hybrid Systems: Computation and Control,
259–68. ACM, 2015. https://doi.org/10.1145/2728606.2728608.'
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,” in Proceedings of the 18th International Conference
on Hybrid Systems: Computation and Control, Seattle, WA, United States, 2015,
pp. 259–268.'
ista: 'Svoreňová M, Kretinsky J, Chmelik M, Chatterjee K, Cěrná I, Belta C. 2015.
Temporal logic control for stochastic linear systems using abstraction refinement
of probabilistic games. Proceedings of the 18th International Conference on Hybrid
Systems: Computation and Control. HSCC: Hybrid Systems - Computation and Control,
259–268.'
mla: 'Svoreňová, Mária, et al. “Temporal Logic Control for Stochastic Linear Systems
Using Abstraction Refinement of Probabilistic Games.” Proceedings of the 18th
International Conference on Hybrid Systems: Computation and Control, ACM,
2015, pp. 259–68, doi:10.1145/2728606.2728608.'
short: 'M. Svoreňová, J. Kretinsky, M. Chmelik, K. Chatterjee, I. Cěrná, C. Belta,
in:, Proceedings of the 18th International Conference on Hybrid Systems: Computation
and Control, ACM, 2015, pp. 259–268.'
conference:
end_date: 2015-04-16
location: Seattle, WA, United States
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2015-04-14
date_created: 2018-12-11T11:53:29Z
date_published: 2015-04-14T00:00:00Z
date_updated: 2025-06-11T06:33:00Z
day: '14'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1145/2728606.2728608
ec_funded: 1
external_id:
arxiv:
- '1410.5387'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1410.5387
month: '04'
oa: 1
oa_version: Preprint
page: 259 - 268
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: 'Proceedings of the 18th International Conference on Hybrid Systems:
Computation and Control'
publication_status: published
publisher: ACM
publist_id: '5456'
related_material:
record:
- id: '1407'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Temporal logic control for stochastic linear systems using abstraction refinement
of probabilistic games
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1691'
abstract:
- lang: eng
text: We consider a case study of the problem of deploying an autonomous air vehicle
in a partially observable, dynamic, indoor environment from a specification given
as a linear temporal logic (LTL) formula over regions of interest. We model the
motion and sensing capabilities of the vehicle as a partially observable Markov
decision process (POMDP). We adapt recent results for solving POMDPs with parity
objectives to generate a control policy. We also extend the existing framework
with a policy minimization technique to obtain a better implementable policy,
while preserving its correctness. The proposed techniques are illustrated in an
experimental setup involving an autonomous quadrotor performing surveillance in
a dynamic environment.
author:
- first_name: Mária
full_name: Svoreňová, Mária
last_name: Svoreňová
- first_name: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Kevin
full_name: Leahy, Kevin
last_name: Leahy
- first_name: Hasan
full_name: Eniser, Hasan
last_name: Eniser
- 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, Chmelik M, Leahy K, et al. Temporal logic motion planning using
POMDPs with parity objectives: Case study paper. In: Proceedings of the 18th
International Conference on Hybrid Systems: Computation and Control. ACM;
2015:233-238. doi:10.1145/2728606.2728617'
apa: 'Svoreňová, M., Chmelik, M., Leahy, K., Eniser, H., Chatterjee, K., Cěrná,
I., & Belta, C. (2015). Temporal logic motion planning using POMDPs with parity
objectives: Case study paper. In Proceedings of the 18th International Conference
on Hybrid Systems: Computation and Control (pp. 233–238). Seattle, WA, United
States: ACM. https://doi.org/10.1145/2728606.2728617'
chicago: 'Svoreňová, Mária, Martin Chmelik, Kevin Leahy, Hasan Eniser, Krishnendu
Chatterjee, Ivana Cěrná, and Cǎlin Belta. “Temporal Logic Motion Planning Using
POMDPs with Parity Objectives: Case Study Paper.” In Proceedings of the 18th
International Conference on Hybrid Systems: Computation and Control, 233–38.
ACM, 2015. https://doi.org/10.1145/2728606.2728617.'
ieee: 'M. Svoreňová et al., “Temporal logic motion planning using POMDPs
with parity objectives: Case study paper,” in Proceedings of the 18th International
Conference on Hybrid Systems: Computation and Control, Seattle, WA, United
States, 2015, pp. 233–238.'
ista: 'Svoreňová M, Chmelik M, Leahy K, Eniser H, Chatterjee K, Cěrná I, Belta C.
2015. Temporal logic motion planning using POMDPs with parity objectives: Case
study paper. Proceedings of the 18th International Conference on Hybrid Systems:
Computation and Control. HSCC: Hybrid Systems - Computation and Control, 233–238.'
mla: 'Svoreňová, Mária, et al. “Temporal Logic Motion Planning Using POMDPs with
Parity Objectives: Case Study Paper.” Proceedings of the 18th International
Conference on Hybrid Systems: Computation and Control, ACM, 2015, pp. 233–38,
doi:10.1145/2728606.2728617.'
short: 'M. Svoreňová, M. Chmelik, K. Leahy, H. Eniser, K. Chatterjee, I. Cěrná,
C. Belta, in:, Proceedings of the 18th International Conference on Hybrid Systems:
Computation and Control, ACM, 2015, pp. 233–238.'
conference:
end_date: 2015-04-16
location: Seattle, WA, United States
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2015-04-14
date_created: 2018-12-11T11:53:29Z
date_published: 2015-04-14T00:00:00Z
date_updated: 2021-01-12T06:52:33Z
day: '14'
department:
- _id: KrCh
doi: 10.1145/2728606.2728617
ec_funded: 1
language:
- iso: eng
month: '04'
oa_version: None
page: 233 - 238
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: 'Proceedings of the 18th International Conference on Hybrid Systems:
Computation and Control'
publication_status: published
publisher: ACM
publist_id: '5453'
scopus_import: 1
status: public
title: 'Temporal logic motion planning using POMDPs with parity objectives: Case study
paper'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '1694'
abstract:
- lang: eng
text: "We introduce quantitative timed refinement and timed simulation (directed)
metrics, incorporating zenoness checks, for timed systems. These metrics assign
positive real numbers which quantify the timing mismatches between two timed systems,
amongst non-zeno runs. We quantify timing mismatches in three ways: (1) the maximal
timing mismatch that can arise, (2) the “steady-state” maximal timing mismatches,
where initial transient timing mismatches are ignored; and (3) the (long-run)
average timing mismatches amongst two systems. These three kinds of mismatches
constitute three important types of timing differences. Our event times are the
global times, measured from the start of the system execution, not just the time
durations of individual steps. We present algorithms over timed automata for computing
the three quantitative simulation distances to within any desired degree of accuracy.
In order to compute the values of the quantitative simulation distances, we use
a game theoretic formulation. We introduce two new kinds of objectives for two
player games on finite-state game graphs: (1) eventual debit-sum level objectives,
and (2) average debit-sum level objectives. We present algorithms for computing
the optimal values for these objectives in graph games, and then use these algorithms
to compute the values of the timed simulation distances over timed automata.\r\n"
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Vinayak
full_name: Prabhu, Vinayak
last_name: Prabhu
citation:
ama: Chatterjee K, Prabhu V. Quantitative temporal simulation and refinement distances
for timed systems. IEEE Transactions on Automatic Control. 2015;60(9):2291-2306.
doi:10.1109/TAC.2015.2404612
apa: Chatterjee, K., & Prabhu, V. (2015). Quantitative temporal simulation and
refinement distances for timed systems. IEEE Transactions on Automatic Control.
IEEE. https://doi.org/10.1109/TAC.2015.2404612
chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
and Refinement Distances for Timed Systems.” IEEE Transactions on Automatic
Control. IEEE, 2015. https://doi.org/10.1109/TAC.2015.2404612.
ieee: K. Chatterjee and V. Prabhu, “Quantitative temporal simulation and refinement
distances for timed systems,” IEEE Transactions on Automatic Control, vol.
60, no. 9. IEEE, pp. 2291–2306, 2015.
ista: Chatterjee K, Prabhu V. 2015. Quantitative temporal simulation and refinement
distances for timed systems. IEEE Transactions on Automatic Control. 60(9), 2291–2306.
mla: Chatterjee, Krishnendu, and Vinayak Prabhu. “Quantitative Temporal Simulation
and Refinement Distances for Timed Systems.” IEEE Transactions on Automatic
Control, vol. 60, no. 9, IEEE, 2015, pp. 2291–306, doi:10.1109/TAC.2015.2404612.
short: K. Chatterjee, V. Prabhu, IEEE Transactions on Automatic Control 60 (2015)
2291–2306.
date_created: 2018-12-11T11:53:30Z
date_published: 2015-02-24T00:00:00Z
date_updated: 2025-09-23T10:00:03Z
day: '24'
department:
- _id: KrCh
doi: 10.1109/TAC.2015.2404612
ec_funded: 1
external_id:
isi:
- '000360501800001'
intvolume: ' 60'
isi: 1
issue: '9'
language:
- iso: eng
month: '02'
oa_version: None
page: 2291 - 2306
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'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: IEEE Transactions on Automatic Control
publication_status: published
publisher: IEEE
publist_id: '5450'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative temporal simulation and refinement distances for timed systems
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 60
year: '2015'
...
---
_id: '1698'
abstract:
- lang: eng
text: 'In mean-payoff games, the objective of the protagonist is to ensure that
the limit average of an infinite sequence of numeric weights is nonnegative. In
energy games, the objective is to ensure that the running sum of weights is always
nonnegative. Multi-mean-payoff and multi-energy games replace individual weights
by tuples, and the limit average (resp., running sum) of each coordinate must
be (resp., remain) nonnegative. We prove finite-memory determinacy of multi-energy
games and show inter-reducibility of multi-mean-payoff and multi-energy games
for finite-memory strategies. We improve the computational complexity for solving
both classes with finite-memory strategies: we prove coNP-completeness improving
the previous known EXPSPACE bound. For memoryless strategies, we show that deciding
the existence of a winning strategy for the protagonist is NP-complete. We present
the first solution of multi-mean-payoff games with infinite-memory strategies:
we show that mean-payoff-sup objectives can be decided in NP∩coNP, whereas mean-payoff-inf
objectives are coNP-complete.'
acknowledgement: 'The research was partly supported by Austrian Science Fund (FWF)
Grant No P23499-N23, FWF NFN Grant No S11407-N23 and S11402-N23 (RiSE), ERC Start
grant (279307: Graph Games), Microsoft faculty fellows award, the ERC Advanced Grant
QUAREM (267989: Quantitative Reactive Modeling), European project Cassting (FP7-601148),
ERC Start grant (279499: inVEST).'
article_processing_charge: No
arxiv: 1
author:
- first_name: Yaron
full_name: Velner, Yaron
last_name: Velner
- 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
- first_name: Alexander
full_name: Rabinovich, Alexander
last_name: Rabinovich
- first_name: Jean
full_name: Raskin, Jean
last_name: Raskin
citation:
ama: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. The
complexity of multi-mean-payoff and multi-energy games. Information and Computation.
2015;241(4):177-196. doi:10.1016/j.ic.2015.03.001
apa: Velner, Y., Chatterjee, K., Doyen, L., Henzinger, T. A., Rabinovich, A., &
Raskin, J. (2015). The complexity of multi-mean-payoff and multi-energy games.
Information and Computation. Elsevier. https://doi.org/10.1016/j.ic.2015.03.001
chicago: Velner, Yaron, Krishnendu Chatterjee, Laurent Doyen, Thomas A Henzinger,
Alexander Rabinovich, and Jean Raskin. “The Complexity of Multi-Mean-Payoff and
Multi-Energy Games.” Information and Computation. Elsevier, 2015. https://doi.org/10.1016/j.ic.2015.03.001.
ieee: Y. Velner, K. Chatterjee, L. Doyen, T. A. Henzinger, A. Rabinovich, and J.
Raskin, “The complexity of multi-mean-payoff and multi-energy games,” Information
and Computation, vol. 241, no. 4. Elsevier, pp. 177–196, 2015.
ista: Velner Y, Chatterjee K, Doyen L, Henzinger TA, Rabinovich A, Raskin J. 2015.
The complexity of multi-mean-payoff and multi-energy games. Information and Computation.
241(4), 177–196.
mla: Velner, Yaron, et al. “The Complexity of Multi-Mean-Payoff and Multi-Energy
Games.” Information and Computation, vol. 241, no. 4, Elsevier, 2015, pp.
177–96, doi:10.1016/j.ic.2015.03.001.
short: Y. Velner, K. Chatterjee, L. Doyen, T.A. Henzinger, A. Rabinovich, J. Raskin,
Information and Computation 241 (2015) 177–196.
corr_author: '1'
date_created: 2018-12-11T11:53:32Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T13:47:20Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.ic.2015.03.001
ec_funded: 1
external_id:
arxiv:
- '1209.3234'
isi:
- '000353352800008'
intvolume: ' 241'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1209.3234
month: '04'
oa: 1
oa_version: Preprint
page: 177 - 196
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: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '5443'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The complexity of multi-mean-payoff and multi-energy games
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 241
year: '2015'
...
---
_id: '1714'
abstract:
- lang: eng
text: 'We present a flexible framework for the automated competitive analysis of
on-line scheduling algorithms for firm-deadline real-time tasks based on multi-objective
graphs: Given a task set and an on-line scheduling algorithm specified as a labeled
transition system, along with some optional safety, liveness, and/or limit-average
constraints for the adversary, we automatically compute the competitive ratio
of the algorithm w.r.t. A clairvoyant scheduler. We demonstrate the flexibility
and power of our approach by comparing the competitive ratio of several on-line
algorithms, including Dover, that have been proposed in the past, for various
task sets. Our experimental results reveal that none of these algorithms is universally
optimal, in the sense that there are task sets where other schedulers provide
better performance. Our framework is hence a very useful design tool for selecting
optimal algorithms for a given application.'
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: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Alexander
full_name: Kößler, Alexander
last_name: Kößler
- first_name: Ulrich
full_name: Schmid, Ulrich
last_name: Schmid
citation:
ama: 'Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. A framework for automated
competitive analysis of on-line scheduling of firm-deadline tasks. In: Real-Time
Systems Symposium. Vol 2015. IEEE; 2015:118-127. doi:10.1109/RTSS.2014.9'
apa: 'Chatterjee, K., Pavlogiannis, A., Kößler, A., & Schmid, U. (2015). A framework
for automated competitive analysis of on-line scheduling of firm-deadline tasks.
In Real-Time Systems Symposium (Vol. 2015, pp. 118–127). Rome, Italy: IEEE.
https://doi.org/10.1109/RTSS.2014.9'
chicago: Chatterjee, Krishnendu, Andreas Pavlogiannis, Alexander Kößler, and Ulrich
Schmid. “A Framework for Automated Competitive Analysis of On-Line Scheduling
of Firm-Deadline Tasks.” In Real-Time Systems Symposium, 2015:118–27. IEEE,
2015. https://doi.org/10.1109/RTSS.2014.9.
ieee: K. Chatterjee, A. Pavlogiannis, A. Kößler, and U. Schmid, “A framework for
automated competitive analysis of on-line scheduling of firm-deadline tasks,”
in Real-Time Systems Symposium, Rome, Italy, 2015, vol. 2015, no. January,
pp. 118–127.
ista: 'Chatterjee K, Pavlogiannis A, Kößler A, Schmid U. 2015. A framework for automated
competitive analysis of on-line scheduling of firm-deadline tasks. Real-Time Systems
Symposium. RTSS: Real-Time Systems Symposium vol. 2015, 118–127.'
mla: Chatterjee, Krishnendu, et al. “A Framework for Automated Competitive Analysis
of On-Line Scheduling of Firm-Deadline Tasks.” Real-Time Systems Symposium,
vol. 2015, no. January, IEEE, 2015, pp. 118–27, doi:10.1109/RTSS.2014.9.
short: K. Chatterjee, A. Pavlogiannis, A. Kößler, U. Schmid, in:, Real-Time Systems
Symposium, IEEE, 2015, pp. 118–127.
conference:
end_date: 2014-12-05
location: Rome, Italy
name: 'RTSS: Real-Time Systems Symposium'
start_date: 2014-12-02
date_created: 2018-12-11T11:53:37Z
date_published: 2015-01-15T00:00:00Z
date_updated: 2026-04-08T14:22:16Z
day: '15'
department:
- _id: KrCh
doi: 10.1109/RTSS.2014.9
external_id:
isi:
- '000569750000012'
intvolume: ' 2015'
isi: 1
issue: January
language:
- iso: eng
month: '01'
oa_version: None
page: 118 - 127
publication: Real-Time Systems Symposium
publication_status: published
publisher: IEEE
publist_id: '5417'
quality_controlled: '1'
related_material:
record:
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relation: earlier_version
status: public
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relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: A framework for automated competitive analysis of on-line scheduling of firm-deadline
tasks
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 2015
year: '2015'
...
---
_id: '1846'
abstract:
- lang: eng
text: Modal transition systems (MTS) is a well-studied specification formalism of
reactive systems supporting a step-wise refinement methodology. Despite its many
advantages, the formalism as well as its currently known extensions are incapable
of expressing some practically needed aspects in the refinement process like exclusive,
conditional and persistent choices. We introduce a new model called parametric
modal transition systems (PMTS) together with a general modal refinement notion
that overcomes many of the limitations. We investigate the computational complexity
of modal and thorough refinement checking on PMTS and its subclasses and provide
a direct encoding of the modal refinement problem into quantified Boolean formulae,
allowing us to employ state-of-the-art QBF solvers for modal refinement checking.
The experiments we report on show that the feasibility of refinement checking
is more influenced by the degree of nondeterminism rather than by the syntactic
restrictions on the types of formulae allowed in the description of the PMTS.
article_processing_charge: No
article_type: original
author:
- first_name: Nikola
full_name: Beneš, Nikola
last_name: Beneš
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Kim
full_name: Larsen, Kim
last_name: Larsen
- first_name: Mikael
full_name: Möller, Mikael
last_name: Möller
- first_name: Salomon
full_name: Sickert, Salomon
last_name: Sickert
- first_name: Jiří
full_name: Srba, Jiří
last_name: Srba
citation:
ama: Beneš N, Kretinsky J, Larsen K, Möller M, Sickert S, Srba J. Refinement checking
on parametric modal transition systems. Acta Informatica. 2015;52(2-3):269-297.
doi:10.1007/s00236-015-0215-4
apa: Beneš, N., Kretinsky, J., Larsen, K., Möller, M., Sickert, S., & Srba,
J. (2015). Refinement checking on parametric modal transition systems. Acta
Informatica. Springer. https://doi.org/10.1007/s00236-015-0215-4
chicago: Beneš, Nikola, Jan Kretinsky, Kim Larsen, Mikael Möller, Salomon Sickert,
and Jiří Srba. “Refinement Checking on Parametric Modal Transition Systems.” Acta
Informatica. Springer, 2015. https://doi.org/10.1007/s00236-015-0215-4.
ieee: N. Beneš, J. Kretinsky, K. Larsen, M. Möller, S. Sickert, and J. Srba, “Refinement
checking on parametric modal transition systems,” Acta Informatica, vol.
52, no. 2–3. Springer, pp. 269–297, 2015.
ista: Beneš N, Kretinsky J, Larsen K, Möller M, Sickert S, Srba J. 2015. Refinement
checking on parametric modal transition systems. Acta Informatica. 52(2–3), 269–297.
mla: Beneš, Nikola, et al. “Refinement Checking on Parametric Modal Transition Systems.”
Acta Informatica, vol. 52, no. 2–3, Springer, 2015, pp. 269–97, doi:10.1007/s00236-015-0215-4.
short: N. Beneš, J. Kretinsky, K. Larsen, M. Möller, S. Sickert, J. Srba, Acta Informatica
52 (2015) 269–297.
corr_author: '1'
date_created: 2018-12-11T11:54:20Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T10:33:12Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/s00236-015-0215-4
ec_funded: 1
external_id:
isi:
- '000351160200008'
file:
- access_level: open_access
checksum: fb4037ddc4fc05f33080dd3547ede350
content_type: application/pdf
creator: dernst
date_created: 2020-05-15T08:57:44Z
date_updated: 2020-07-14T12:45:19Z
file_id: '7854'
file_name: 2015_ActaInfo_Benes.pdf
file_size: 488482
relation: main_file
file_date_updated: 2020-07-14T12:45:19Z
has_accepted_license: '1'
intvolume: ' 52'
isi: 1
issue: 2-3
language:
- iso: eng
month: '04'
oa: 1
oa_version: Submitted Version
page: 269 - 297
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication: Acta Informatica
publication_status: published
publisher: Springer
publist_id: '5255'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Refinement checking on parametric modal transition systems
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 52
year: '2015'
...
---
_id: '1851'
abstract:
- lang: eng
text: We consider mating strategies for females who search for males sequentially
during a season of limited length. We show that the best strategy rejects a given
male type if encountered before a time-threshold but accepts him after. For frequency-independent
benefits, we obtain the optimal time-thresholds explicitly for both discrete and
continuous distributions of males, and allow for mistakes being made in assessing
the correct male type. When the benefits are indirect (genes for the offspring)
and the population is under frequency-dependent ecological selection, the benefits
depend on the mating strategy of other females as well. This case is particularly
relevant to speciation models that seek to explore the stability of reproductive
isolation by assortative mating under frequency-dependent ecological selection.
We show that the indirect benefits are to be quantified by the reproductive values
of couples, and describe how the evolutionarily stable time-thresholds can be
found. We conclude with an example based on the Levene model, in which we analyze
the evolutionarily stable assortative mating strategies and the strength of reproductive
isolation provided by them.
article_processing_charge: No
article_type: original
author:
- first_name: Tadeas
full_name: Priklopil, Tadeas
id: 3C869AA0-F248-11E8-B48F-1D18A9856A87
last_name: Priklopil
- first_name: Eva
full_name: Kisdi, Eva
last_name: Kisdi
- first_name: Mats
full_name: Gyllenberg, Mats
last_name: Gyllenberg
citation:
ama: Priklopil T, Kisdi E, Gyllenberg M. Evolutionarily stable mating decisions
for sequentially searching females and the stability of reproductive isolation
by assortative mating. Evolution. 2015;69(4):1015-1026. doi:10.1111/evo.12618
apa: Priklopil, T., Kisdi, E., & Gyllenberg, M. (2015). Evolutionarily stable
mating decisions for sequentially searching females and the stability of reproductive
isolation by assortative mating. Evolution. Wiley. https://doi.org/10.1111/evo.12618
chicago: Priklopil, Tadeas, Eva Kisdi, and Mats Gyllenberg. “Evolutionarily Stable
Mating Decisions for Sequentially Searching Females and the Stability of Reproductive
Isolation by Assortative Mating.” Evolution. Wiley, 2015. https://doi.org/10.1111/evo.12618.
ieee: T. Priklopil, E. Kisdi, and M. Gyllenberg, “Evolutionarily stable mating decisions
for sequentially searching females and the stability of reproductive isolation
by assortative mating,” Evolution, vol. 69, no. 4. Wiley, pp. 1015–1026,
2015.
ista: Priklopil T, Kisdi E, Gyllenberg M. 2015. Evolutionarily stable mating decisions
for sequentially searching females and the stability of reproductive isolation
by assortative mating. Evolution. 69(4), 1015–1026.
mla: Priklopil, Tadeas, et al. “Evolutionarily Stable Mating Decisions for Sequentially
Searching Females and the Stability of Reproductive Isolation by Assortative Mating.”
Evolution, vol. 69, no. 4, Wiley, 2015, pp. 1015–26, doi:10.1111/evo.12618.
short: T. Priklopil, E. Kisdi, M. Gyllenberg, Evolution 69 (2015) 1015–1026.
corr_author: '1'
date_created: 2018-12-11T11:54:21Z
date_published: 2015-02-09T00:00:00Z
date_updated: 2025-09-22T14:27:30Z
day: '09'
ddc:
- '570'
department:
- _id: NiBa
- _id: KrCh
doi: 10.1111/evo.12618
ec_funded: 1
external_id:
isi:
- '000353236000014'
pmid:
- '25662095'
file:
- access_level: open_access
checksum: 1e8be0b1d7598a78cd2623d8ee8e7798
content_type: application/pdf
creator: dernst
date_created: 2020-05-15T09:05:34Z
date_updated: 2020-07-14T12:45:19Z
file_id: '7855'
file_name: 2015_Evolution_Priklopil.pdf
file_size: 967214
relation: main_file
file_date_updated: 2020-07-14T12:45:19Z
has_accepted_license: '1'
intvolume: ' 69'
isi: 1
issue: '4'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Submitted Version
page: 1015 - 1026
pmid: 1
project:
- _id: 25681D80-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '291734'
name: International IST Postdoc Fellowship Programme
publication: Evolution
publication_identifier:
eissn:
- 1558-5646
issn:
- 0014-3820
publication_status: published
publisher: Wiley
publist_id: '5249'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evolutionarily stable mating decisions for sequentially searching females and
the stability of reproductive isolation by assortative mating
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 69
year: '2015'
...
---
_id: '1856'
abstract:
- lang: eng
text: 'The traditional synthesis question given a specification asks for the automatic
construction of a system that satisfies the specification, whereas often there
exists a preference order among the different systems that satisfy the given specification.
Under a probabilistic assumption about the possible inputs, such a preference
order is naturally expressed by a weighted automaton, which assigns to each word
a value, such that a system is preferred if it generates a higher expected value.
We solve the following optimal synthesis problem: given an omega-regular specification,
a Markov chain that describes the distribution of inputs, and a weighted automaton
that measures how well a system satisfies the given specification under the input
assumption, synthesize a system that optimizes the measured value. For safety
specifications and quantitative measures that are defined by mean-payoff automata,
the optimal synthesis problem reduces to finding a strategy in a Markov decision
process (MDP) that is optimal for a long-run average reward objective, which can
be achieved in polynomial time. For general omega-regular specifications along
with mean-payoff automata, the solution rests on a new, polynomial-time algorithm
for computing optimal strategies in MDPs with mean-payoff parity objectives. Our
algorithm constructs optimal strategies that consist of two memoryless strategies
and a counter. The counter is in general not bounded. To obtain a finite-state
system, we show how to construct an ε-optimal strategy with a bounded counter,
for all ε > 0. Furthermore, we show how to decide in polynomial time if it
is possible to construct an optimal finite-state system (i.e., a system without
a counter) for a given specification. We have implemented our approach and the
underlying algorithms in a tool that takes qualitative and quantitative specifications
and automatically constructs a system that satisfies the qualitative specification
and optimizes the quantitative specification, if such a system exists. We present
some experimental results showing optimal systems that were automatically generated
in this way.'
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: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Barbara
full_name: Jobstmann, Barbara
last_name: Jobstmann
- first_name: Rohit
full_name: Singh, Rohit
last_name: Singh
citation:
ama: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. Measuring and synthesizing
systems in probabilistic environments. Journal of the ACM. 2015;62(1).
doi:10.1145/2699430
apa: Chatterjee, K., Henzinger, T. A., Jobstmann, B., & Singh, R. (2015). Measuring
and synthesizing systems in probabilistic environments. Journal of the ACM.
ACM. https://doi.org/10.1145/2699430
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, Barbara Jobstmann, and Rohit
Singh. “Measuring and Synthesizing Systems in Probabilistic Environments.” Journal
of the ACM. ACM, 2015. https://doi.org/10.1145/2699430.
ieee: K. Chatterjee, T. A. Henzinger, B. Jobstmann, and R. Singh, “Measuring and
synthesizing systems in probabilistic environments,” Journal of the ACM,
vol. 62, no. 1. ACM, 2015.
ista: Chatterjee K, Henzinger TA, Jobstmann B, Singh R. 2015. Measuring and synthesizing
systems in probabilistic environments. Journal of the ACM. 62(1), 9.
mla: Chatterjee, Krishnendu, et al. “Measuring and Synthesizing Systems in Probabilistic
Environments.” Journal of the ACM, vol. 62, no. 1, 9, ACM, 2015, doi:10.1145/2699430.
short: K. Chatterjee, T.A. Henzinger, B. Jobstmann, R. Singh, Journal of the ACM
62 (2015).
date_created: 2018-12-11T11:54:23Z
date_published: 2015-02-01T00:00:00Z
date_updated: 2025-09-23T09:33:01Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/2699430
ec_funded: 1
external_id:
arxiv:
- '1004.0739'
isi:
- '000350563000009'
intvolume: ' 62'
isi: 1
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1004.0739
month: '02'
oa: 1
oa_version: Preprint
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _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
- _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 the ACM
publication_status: published
publisher: ACM
publist_id: '5244'
quality_controlled: '1'
related_material:
record:
- id: '3864'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Measuring and synthesizing systems in probabilistic environments
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 62
year: '2015'
...
---
_id: '1873'
abstract:
- lang: eng
text: 'We consider partially observable Markov decision processes (POMDPs) with
limit-average payoff, where a reward value in the interval [0,1] is associated
with every transition, and the payoff of an infinite path is the long-run average
of the rewards. We consider two types of path constraints: (i) a quantitative
constraint defines the set of paths where the payoff is at least a given threshold
λ1ε(0,1]; and (ii) a qualitative constraint which is a special case of the quantitative
constraint with λ1=1. We consider the computation of the almost-sure winning set,
where the controller needs to ensure that the path constraint is satisfied with
probability 1. Our main results for qualitative path constraints are as follows:
(i) the problem of deciding the existence of a finite-memory controller is EXPTIME-complete;
and (ii) the problem of deciding the existence of an infinite-memory controller
is undecidable. For quantitative path constraints we show that the problem of
deciding the existence of a finite-memory controller is undecidable. We also present
a prototype implementation of our EXPTIME algorithm and experimental results on
several examples.'
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: Martin
full_name: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
citation:
ama: Chatterjee K, Chmelik M. POMDPs under probabilistic semantics. Artificial
Intelligence. 2015;221:46-72. doi:10.1016/j.artint.2014.12.009
apa: Chatterjee, K., & Chmelik, M. (2015). POMDPs under probabilistic semantics.
Artificial Intelligence. Elsevier. https://doi.org/10.1016/j.artint.2014.12.009
chicago: Chatterjee, Krishnendu, and Martin Chmelik. “POMDPs under Probabilistic
Semantics.” Artificial Intelligence. Elsevier, 2015. https://doi.org/10.1016/j.artint.2014.12.009.
ieee: K. Chatterjee and M. Chmelik, “POMDPs under probabilistic semantics,” Artificial
Intelligence, vol. 221. Elsevier, pp. 46–72, 2015.
ista: Chatterjee K, Chmelik M. 2015. POMDPs under probabilistic semantics. Artificial
Intelligence. 221, 46–72.
mla: Chatterjee, Krishnendu, and Martin Chmelik. “POMDPs under Probabilistic Semantics.”
Artificial Intelligence, vol. 221, Elsevier, 2015, pp. 46–72, doi:10.1016/j.artint.2014.12.009.
short: K. Chatterjee, M. Chmelik, Artificial Intelligence 221 (2015) 46–72.
corr_author: '1'
date_created: 2018-12-11T11:54:28Z
date_published: 2015-04-01T00:00:00Z
date_updated: 2025-09-23T09:52:31Z
day: '01'
department:
- _id: KrCh
doi: 10.1016/j.artint.2014.12.009
external_id:
arxiv:
- '1408.2058'
isi:
- '000350782300003'
intvolume: ' 221'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1408.2058
month: '04'
oa: 1
oa_version: Preprint
page: 46 - 72
publication: Artificial Intelligence
publication_status: published
publisher: Elsevier
publist_id: '5224'
quality_controlled: '1'
scopus_import: '1'
status: public
title: POMDPs under probabilistic semantics
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 221
year: '2015'
...
---
_id: '1882'
abstract:
- lang: eng
text: We provide a framework for compositional and iterative design and verification
of systems with quantitative information, such as rewards, time or energy. It
is based on disjunctive modal transition systems where we allow actions to bear
various types of quantitative information. Throughout the design process the actions
can be further refined and the information made more precise. We show how to compute
the results of standard operations on the systems, including the quotient (residual),
which has not been previously considered for quantitative non-deterministic systems.
Our quantitative framework has close connections to the modal nu-calculus and
is compositional with respect to general notions of distances between systems
and the standard operations.
acknowledgement: This research was funded in part by the European Research Council
(ERC) under grant agreement 267989 (QUAREM), by the Austrian Science Fund (FWF)
project S11402-N23 (RiSE), and by the Czech Science Foundation, grant No. P202/12/G061.
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Uli
full_name: Fahrenberg, Uli
last_name: Fahrenberg
- first_name: Jan
full_name: Kretinsky, Jan
id: 44CEF464-F248-11E8-B48F-1D18A9856A87
last_name: Kretinsky
orcid: 0000-0002-8122-2881
- first_name: Axel
full_name: Legay, Axel
last_name: Legay
- first_name: Louis
full_name: Traonouez, Louis
last_name: Traonouez
citation:
ama: 'Fahrenberg U, Kretinsky J, Legay A, Traonouez L. Compositionality for quantitative
specifications. In: Vol 8997. Springer; 2015:306-324. doi:10.1007/978-3-319-15317-9_19'
apa: 'Fahrenberg, U., Kretinsky, J., Legay, A., & Traonouez, L. (2015). Compositionality
for quantitative specifications (Vol. 8997, pp. 306–324). Presented at the FACS:
Formal Aspects of Component Software, Bertinoro, Italy: Springer. https://doi.org/10.1007/978-3-319-15317-9_19'
chicago: Fahrenberg, Uli, Jan Kretinsky, Axel Legay, and Louis Traonouez. “Compositionality
for Quantitative Specifications,” 8997:306–24. Springer, 2015. https://doi.org/10.1007/978-3-319-15317-9_19.
ieee: 'U. Fahrenberg, J. Kretinsky, A. Legay, and L. Traonouez, “Compositionality
for quantitative specifications,” presented at the FACS: Formal Aspects of Component
Software, Bertinoro, Italy, 2015, vol. 8997, pp. 306–324.'
ista: 'Fahrenberg U, Kretinsky J, Legay A, Traonouez L. 2015. Compositionality for
quantitative specifications. FACS: Formal Aspects of Component Software, LNCS,
vol. 8997, 306–324.'
mla: Fahrenberg, Uli, et al. Compositionality for Quantitative Specifications.
Vol. 8997, Springer, 2015, pp. 306–24, doi:10.1007/978-3-319-15317-9_19.
short: U. Fahrenberg, J. Kretinsky, A. Legay, L. Traonouez, in:, Springer, 2015,
pp. 306–324.
conference:
end_date: 2014-09-12
location: Bertinoro, Italy
name: 'FACS: Formal Aspects of Component Software'
start_date: 2014-09-10
corr_author: '1'
date_created: 2018-12-11T11:54:31Z
date_published: 2015-01-30T00:00:00Z
date_updated: 2025-06-11T07:22:00Z
day: '30'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1007/978-3-319-15317-9_19
ec_funded: 1
external_id:
arxiv:
- '1408.1256'
intvolume: ' 8997'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1408.1256
month: '01'
oa: 1
oa_version: Preprint
page: 306 - 324
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: Springer
publist_id: '5216'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Compositionality for quantitative specifications
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8997
year: '2015'
...
---
_id: '523'
abstract:
- lang: eng
text: We consider two-player games played on weighted directed graphs with mean-payoff
and total-payoff objectives, two classical quantitative objectives. While for
single-dimensional games the complexity and memory bounds for both objectives
coincide, we show that in contrast to multi-dimensional mean-payoff games that
are known to be coNP-complete, multi-dimensional total-payoff games are undecidable.
We introduce conservative approximations of these objectives, where the payoff
is considered over a local finite window sliding along a play, instead of the
whole play. For single dimension, we show that (i) if the window size is polynomial,
deciding the winner takes polynomial time, and (ii) the existence of a bounded
window can be decided in NP ∩ coNP, and is at least as hard as solving mean-payoff
games. For multiple dimensions, we show that (i) the problem with fixed window
size is EXPTIME-complete, and (ii) there is no primitive-recursive algorithm to
decide the existence of a bounded window.
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Mickael
full_name: Randour, Mickael
last_name: Randour
- first_name: Jean
full_name: Raskin, Jean
last_name: Raskin
citation:
ama: Chatterjee K, Doyen L, Randour M, Raskin J. Looking at mean-payoff and total-payoff
through windows. Information and Computation. 2015;242(6):25-52. doi:10.1016/j.ic.2015.03.010
apa: Chatterjee, K., Doyen, L., Randour, M., & Raskin, J. (2015). Looking at
mean-payoff and total-payoff through windows. Information and Computation.
Elsevier. https://doi.org/10.1016/j.ic.2015.03.010
chicago: Chatterjee, Krishnendu, Laurent Doyen, Mickael Randour, and Jean Raskin.
“Looking at Mean-Payoff and Total-Payoff through Windows.” Information and
Computation. Elsevier, 2015. https://doi.org/10.1016/j.ic.2015.03.010.
ieee: K. Chatterjee, L. Doyen, M. Randour, and J. Raskin, “Looking at mean-payoff
and total-payoff through windows,” Information and Computation, vol. 242,
no. 6. Elsevier, pp. 25–52, 2015.
ista: Chatterjee K, Doyen L, Randour M, Raskin J. 2015. Looking at mean-payoff and
total-payoff through windows. Information and Computation. 242(6), 25–52.
mla: Chatterjee, Krishnendu, et al. “Looking at Mean-Payoff and Total-Payoff through
Windows.” Information and Computation, vol. 242, no. 6, Elsevier, 2015,
pp. 25–52, doi:10.1016/j.ic.2015.03.010.
short: K. Chatterjee, L. Doyen, M. Randour, J. Raskin, Information and Computation
242 (2015) 25–52.
date_created: 2018-12-11T11:46:57Z
date_published: 2015-03-24T00:00:00Z
date_updated: 2025-09-23T09:29:55Z
day: '24'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.010
ec_funded: 1
external_id:
arxiv:
- '1302.4248'
isi:
- '000355664900003'
intvolume: ' 242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1302.4248
month: '03'
oa: 1
oa_version: Preprint
page: 25 - 52
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: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7296'
quality_controlled: '1'
related_material:
record:
- id: '2279'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Looking at mean-payoff and total-payoff through windows
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '524'
abstract:
- lang: eng
text: 'We consider concurrent games played by two players on a finite-state graph,
where in every round the players simultaneously choose a move, and the current
state along with the joint moves determine the successor state. We study the most
fundamental objective for concurrent games, namely, mean-payoff or limit-average
objective, where a reward is associated to each transition, and the goal of player
1 is to maximize the long-run average of the rewards, and the objective of player
2 is strictly the opposite (i.e., the games are zero-sum). The path constraint
for player 1 could be qualitative, i.e., the mean-payoff is the maximal reward,
or arbitrarily close to it; or quantitative, i.e., a given threshold between the
minimal and maximal reward. We consider the computation of the almost-sure (resp.
positive) winning sets, where player 1 can ensure that the path constraint is
satisfied with probability 1 (resp. positive probability). Almost-sure winning
with qualitative constraint exactly corresponds to the question of whether there
exists a strategy to ensure that the payoff is the maximal reward of the game.
Our main results for qualitative path constraints are as follows: (1) we establish
qualitative determinacy results that show that for every state either player 1
has a strategy to ensure almost-sure (resp. positive) winning against all player-2
strategies, or player 2 has a spoiling strategy to falsify almost-sure (resp.
positive) winning against all player-1 strategies; (2) we present optimal strategy
complexity results that precisely characterize the classes of strategies required
for almost-sure and positive winning for both players; and (3) we present quadratic
time algorithms to compute the almost-sure and the positive winning sets, matching
the best known bound of the algorithms for much simpler problems (such as reachability
objectives). For quantitative constraints we show that a polynomial time solution
for the almost-sure or the positive winning set would imply a solution to a long-standing
open problem (of solving the value problem of turn-based deterministic mean-payoff
games) that is not known to be solvable in polynomial time.'
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
citation:
ama: Chatterjee K, Ibsen-Jensen R. Qualitative analysis of concurrent mean payoff
games. Information and Computation. 2015;242(6):2-24. doi:10.1016/j.ic.2015.03.009
apa: Chatterjee, K., & Ibsen-Jensen, R. (2015). Qualitative analysis of concurrent
mean payoff games. Information and Computation. Elsevier. https://doi.org/10.1016/j.ic.2015.03.009
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis
of Concurrent Mean Payoff Games.” Information and Computation. Elsevier,
2015. https://doi.org/10.1016/j.ic.2015.03.009.
ieee: K. Chatterjee and R. Ibsen-Jensen, “Qualitative analysis of concurrent mean
payoff games,” Information and Computation, vol. 242, no. 6. Elsevier,
pp. 2–24, 2015.
ista: Chatterjee K, Ibsen-Jensen R. 2015. Qualitative analysis of concurrent mean
payoff games. Information and Computation. 242(6), 2–24.
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. “Qualitative Analysis of Concurrent
Mean Payoff Games.” Information and Computation, vol. 242, no. 6, Elsevier,
2015, pp. 2–24, doi:10.1016/j.ic.2015.03.009.
short: K. Chatterjee, R. Ibsen-Jensen, Information and Computation 242 (2015) 2–24.
corr_author: '1'
date_created: 2018-12-11T11:46:57Z
date_published: 2015-10-11T00:00:00Z
date_updated: 2025-09-23T09:56:28Z
day: '11'
department:
- _id: KrCh
doi: 10.1016/j.ic.2015.03.009
external_id:
arxiv:
- '1409.5306'
isi:
- '000355664900002'
intvolume: ' 242'
isi: 1
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1409.5306
month: '10'
oa: 1
oa_version: Preprint
page: 2 - 24
publication: Information and Computation
publication_status: published
publisher: Elsevier
publist_id: '7295'
quality_controlled: '1'
related_material:
record:
- id: '5403'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Qualitative analysis of concurrent mean payoff games
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 242
year: '2015'
...
---
_id: '5430'
abstract:
- lang: eng
text: We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean- payoff
property, the ratio property, and the minimum initial credit for energy property.
The algorithmic problem given a graph and a quantitative property asks to compute
the optimal value (the infimum value over all traces) from every node of the graph.
We consider graphs with constant treewidth, and it is well-known that the control-flow
graphs of most programs have constant treewidth. Let n denote the number of nodes
of a graph, m the number of edges (for constant treewidth graphs m = O ( n ) )
and W the largest absolute value of the weights. Our main theoretical results
are as follows. First, for constant treewidth graphs we present an algorithm that
approximates the mean-payoff value within a mul- tiplicative factor of ∊ in time
O ( n · log( n/∊ )) and linear space, as compared to the classical algorithms
that require quadratic time. Second, for the ratio property we present an algorithm
that for constant treewidth graphs works in time O ( n · log( | a · b · n | ))
= O ( n · log( n · W )) , when the output is a b , as compared to the previously
best known algorithm with running time O ( n 2 · log( n · W )) . Third, for the
minimum initial credit problem we show that (i) for general graphs the problem
can be solved in O ( n 2 · m ) time and the associated decision problem can be
solved in O ( n · m ) time, improving the previous known O ( n 3 · m · log( n
· W )) and O ( n 2 · m ) bounds, respectively; and (ii) for constant treewidth
graphs we present an algorithm that requires O ( n · log n ) time, improving the
previous known O ( n 4 · log( n · W )) bound. We have implemented some of our
algorithms and show that they present a significant speedup on standard benchmarks.
alternative_title:
- IST Austria Technical Report
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: 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, Pavlogiannis A. Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-319-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2015). Faster
algorithms for quantitative verification in constant treewidth graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2015-319-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-319-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Faster algorithms
for quantitative verification in constant treewidth graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
quantitative verification in constant treewidth graphs, IST Austria, 31p.
mla: Chatterjee, Krishnendu, et al. Faster Algorithms for Quantitative Verification
in Constant Treewidth Graphs. IST Austria, 2015, doi:10.15479/AT:IST-2015-319-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-10T00:00:00Z
date_updated: 2025-09-23T08:47:23Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-319-v1-1
file:
- access_level: open_access
checksum: 62c6ea01e342553dcafb88a070fb1ad5
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:21Z
date_updated: 2020-07-14T12:46:52Z
file_id: '5482'
file_name: IST-2015-319-v1+1_long.pdf
file_size: 1089651
relation: main_file
file_date_updated: 2020-07-14T12:46:52Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '31'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '319'
related_material:
record:
- id: '5437'
relation: later_version
status: public
- id: '1607'
relation: later_version
status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5431'
abstract:
- lang: eng
text: "We consider finite-state concurrent stochastic games, played by k>=2 players
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. We consider reachability objectives that given a target set
of states require that some state in the target set is visited, and the dual safety
objectives that given a target set require that only states in the target set
are 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.\r\n\r\n Our main results are as follows: We show that in two-player
zero-sum concurrent stochastic games (with reachability objective for one player
and the complementary safety objective for the other player): (i) the optimal
bound on the patience of optimal and epsilon-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. In general we study
the class of non-zero-sum games admitting epsilon-Nash equilibria. We show that
if there is at least one player with reachability objective, then doubly-exponential
patience is needed in general for epsilon-Nash equilibrium strategies, whereas
in contrast if all players have safety objectives, then the optimal bound on patience
for epsilon-Nash equilibrium strategies is only exponential."
alternative_title:
- IST Austria Technical Report
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: Kristoffer
full_name: Hansen, Kristoffer
last_name: Hansen
citation:
ama: Chatterjee K, Ibsen-Jensen R, Hansen K. The Patience of Concurrent Stochastic
Games with Safety and Reachability Objectives. IST Austria; 2015. doi:10.15479/AT:IST-2015-322-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Hansen, K. (2015). The patience
of concurrent stochastic games with safety and reachability objectives. IST
Austria. https://doi.org/10.15479/AT:IST-2015-322-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Kristoffer Hansen. The
Patience of Concurrent Stochastic Games with Safety and Reachability Objectives.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-322-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and K. Hansen, The patience of concurrent
stochastic games with safety and reachability objectives. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Hansen K. 2015. The patience of concurrent stochastic
games with safety and reachability objectives, IST Austria, 25p.
mla: Chatterjee, Krishnendu, et al. The Patience of Concurrent Stochastic Games
with Safety and Reachability Objectives. IST Austria, 2015, doi:10.15479/AT:IST-2015-322-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, K. Hansen, The Patience of Concurrent Stochastic
Games with Safety and Reachability Objectives, IST Austria, 2015.
date_created: 2018-12-12T11:39:17Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2021-01-12T08:02:13Z
day: '19'
ddc:
- '005'
- '519'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-322-v1-1
file:
- access_level: open_access
checksum: bfb858262c30445b8e472c40069178a2
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:31Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5491'
file_name: IST-2015-322-v1+1_safetygames.pdf
file_size: 661015
relation: main_file
file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '322'
status: public
title: The patience of concurrent stochastic games with safety and reachability objectives
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5432'
abstract:
- lang: eng
text: "Evolution occurs in populations of reproducing individuals. The structure
of the population affects the outcome of the evolutionary process. Evolutionary
graph theory is a powerful approach to study this phenomenon. There are two graphs.
The interaction graph specifies who interacts with whom in the context of evolution.The
replacement graph specifies who competes with whom for reproduction. \r\nThe vertices
of the two graphs are the same, and each vertex corresponds to an individual of
the population. A key quantity is the fixation probability of a new mutant. It
is defined as the probability that a newly introduced mutant (on a single vertex)
generates a lineage of offspring which eventually takes over the entire population
of resident individuals. The basic computational questions are as follows: (i)
the qualitative question asks whether the fixation probability is positive; and
(ii) the quantitative approximation question asks for an approximation of the
fixation probability. \r\nOur main results are:\r\n(1) We show that the qualitative
question is NP-complete and the quantitative approximation question is #P-hard
in the special case when the interaction and the replacement graphs coincide and
even with the restriction that the resident individuals do not reproduce (which
corresponds to an invading population taking over an empty structure).\r\n(2)
We show that in general the qualitative question is PSPACE-complete and the quantitative
approximation question is PSPACE-hard and can be solved in exponential time.\r\n"
alternative_title:
- IST Austria Technical Report
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. The Complexity of Evolutionary Games
on Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-323-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2015). The complexity
of evolutionary games on graphs. IST Austria. https://doi.org/10.15479/AT:IST-2015-323-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. The Complexity
of Evolutionary Games on Graphs. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-323-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, The complexity of evolutionary
games on graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
games on graphs, IST Austria, 29p.
mla: Chatterjee, Krishnendu, et al. The Complexity of Evolutionary Games on Graphs.
IST Austria, 2015, doi:10.15479/AT:IST-2015-323-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:18Z
date_published: 2015-02-19T00:00:00Z
date_updated: 2023-02-23T12:26:33Z
day: '19'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v1-1
file:
- access_level: open_access
checksum: 546c1b291d545e7b24aaaf4199dac671
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:57Z
date_updated: 2020-07-14T12:46:53Z
file_id: '5519'
file_name: IST-2015-323-v1+1_main.pdf
file_size: 576347
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file_date_updated: 2020-07-14T12:46:53Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '29'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '323'
related_material:
record:
- id: '5421'
relation: earlier_version
status: public
- id: '5440'
relation: later_version
status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5437'
abstract:
- lang: eng
text: "We consider the core algorithmic problems related to verification of systems
with respect to three classical quantitative properties, namely, the mean-payoff
property, the ratio property, and the minimum initial credit for energy property.
\r\nThe algorithmic problem given a graph and a quantitative property asks to
compute the optimal value (the infimum value over all traces) from every node
of the graph. We consider graphs with constant treewidth, and it is well-known
that the control-flow graphs of most programs have constant treewidth. Let $n$
denote the number of nodes of a graph, $m$ the number of edges (for constant treewidth
graphs $m=O(n)$) and $W$ the largest absolute value of the weights.\r\nOur main
theoretical results are as follows.\r\nFirst, for constant treewidth graphs we
present an algorithm that approximates the mean-payoff value within a multiplicative
factor of $\\epsilon$ in time $O(n \\cdot \\log (n/\\epsilon))$ and linear space,
as compared to the classical algorithms that require quadratic time. Second, for
the ratio property we present an algorithm that for constant treewidth graphs
works in time $O(n \\cdot \\log (|a\\cdot b|))=O(n\\cdot\\log (n\\cdot W))$, when
the output is $\\frac{a}{b}$, as compared to the previously best known algorithm
with running time $O(n^2 \\cdot \\log (n\\cdot W))$. Third, for the minimum initial
credit problem we show that (i)~for general graphs the problem can be solved in
$O(n^2\\cdot m)$ time and the associated decision problem can be solved in $O(n\\cdot
m)$ time, improving the previous known $O(n^3\\cdot m\\cdot \\log (n\\cdot W))$
and $O(n^2 \\cdot m)$ bounds, respectively; and (ii)~for constant treewidth graphs
we present an algorithm that requires $O(n\\cdot \\log n)$ time, improving the
previous known $O(n^4 \\cdot \\log (n \\cdot W))$ bound.\r\nWe have implemented
some of our algorithms and show that they present a significant speedup on standard
benchmarks. "
alternative_title:
- IST Austria Technical Report
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: 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, Pavlogiannis A. Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-330-v2-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2015). Faster
algorithms for quantitative verification in constant treewidth graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2015-330-v2-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Faster Algorithms for Quantitative Verification in Constant Treewidth Graphs.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-330-v2-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Faster algorithms
for quantitative verification in constant treewidth graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2015. Faster algorithms for
quantitative verification in constant treewidth graphs, IST Austria, 27p.
mla: Chatterjee, Krishnendu, et al. Faster Algorithms for Quantitative Verification
in Constant Treewidth Graphs. IST Austria, 2015, doi:10.15479/AT:IST-2015-330-v2-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Faster Algorithms for Quantitative
Verification in Constant Treewidth Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:19Z
date_published: 2015-04-27T00:00:00Z
date_updated: 2025-09-23T08:47:23Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-330-v2-1
file:
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checksum: f5917c20f84018b362d385c000a2e123
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:12Z
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publication_identifier:
issn:
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publication_status: published
publisher: IST Austria
pubrep_id: '333'
related_material:
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relation: later_version
status: public
status: public
title: Faster algorithms for quantitative verification in constant treewidth graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5440'
abstract:
- lang: eng
text: 'Evolution occurs in populations of reproducing individuals. The structure
of the population affects the outcome of the evolutionary process. Evolutionary
graph theory is a powerful approach to study this phenomenon. There are two graphs.
The interaction graph specifies who interacts with whom for payoff in the context
of evolution. The replacement graph specifies who competes with whom for reproduction.
The vertices of the two graphs are the same, and each vertex corresponds to an
individual of the population. The fitness (or the reproductive rate) is a non-negative
number, and depends on the payoff. A key quantity is the fixation probability
of a new mutant. It is defined as the probability that a newly introduced mutant
(on a single vertex) generates a lineage of offspring which eventually takes over
the entire population of resident individuals. The basic computational questions
are as follows: (i) the qualitative question asks whether the fixation probability
is positive; and (ii) the quantitative approximation question asks for an approximation
of the fixation probability. Our main results are as follows: First, we consider
a special case of the general problem, where the residents do not reproduce. We
show that the qualitative question is NP-complete, and the quantitative approximation
question is #P-complete, and the hardness results hold even in the special case
where the interaction and the replacement graphs coincide. Second, we show that
in general both the qualitative and the quantitative approximation questions are
PSPACE-complete. The PSPACE-hardness result for quantitative approximation holds
even when the fitness is always positive.'
alternative_title:
- IST Austria Technical Report
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. The Complexity of Evolutionary Games
on Graphs. IST Austria; 2015. doi:10.15479/AT:IST-2015-323-v2-2
apa: Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2015). The complexity
of evolutionary games on graphs. IST Austria. https://doi.org/10.15479/AT:IST-2015-323-v2-2
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. The Complexity
of Evolutionary Games on Graphs. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-323-v2-2.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, The complexity of evolutionary
games on graphs. IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Nowak M. 2015. The complexity of evolutionary
games on graphs, IST Austria, 18p.
mla: Chatterjee, Krishnendu, et al. The Complexity of Evolutionary Games on Graphs.
IST Austria, 2015, doi:10.15479/AT:IST-2015-323-v2-2.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, The Complexity of Evolutionary
Games on Graphs, IST Austria, 2015.
date_created: 2018-12-12T11:39:21Z
date_published: 2015-06-16T00:00:00Z
date_updated: 2023-02-23T12:26:10Z
day: '16'
ddc:
- '005'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-323-v2-2
file:
- access_level: open_access
checksum: 66aace7d367032af97c15e35c9be9636
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:23Z
date_updated: 2020-07-14T12:46:56Z
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file_name: IST-2015-323-v2+2_main.pdf
file_size: 466161
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file_date_updated: 2020-07-14T12:46:56Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: '18'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '338'
related_material:
record:
- id: '5421'
relation: earlier_version
status: public
- id: '5432'
relation: earlier_version
status: public
status: public
title: The complexity of evolutionary games on graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5441'
abstract:
- lang: eng
text: We study algorithmic questions for concurrent systems where the transitions
are labeled from a complete, closed semiring, and path properties are algebraic
with semiring operations. 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. Our 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.
alternative_title:
- IST Austria Technical Report
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
full_name: Goharshady, Amir
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.
IST Austria; 2015. doi:10.15479/AT:IST-2015-340-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., Goharshady, A. K., & Pavlogiannis, A.
(2015). Algorithms for algebraic path properties in concurrent systems of constant
treewidth components. IST Austria. https://doi.org/10.15479/AT:IST-2015-340-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Amir Kafshdar Goharshady,
and Andreas Pavlogiannis. Algorithms for Algebraic Path Properties in Concurrent
Systems of Constant Treewidth Components. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-340-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, A. K. Goharshady, and A. Pavlogiannis, Algorithms
for algebraic path properties in concurrent systems of constant treewidth components.
IST Austria, 2015.
ista: Chatterjee K, Ibsen-Jensen R, Goharshady AK, Pavlogiannis A. 2015. Algorithms
for algebraic path properties in concurrent systems of constant treewidth components,
IST Austria, 24p.
mla: Chatterjee, Krishnendu, et al. Algorithms for Algebraic Path Properties
in Concurrent Systems of Constant Treewidth Components. IST Austria, 2015,
doi:10.15479/AT:IST-2015-340-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A.K. Goharshady, A. Pavlogiannis, Algorithms
for Algebraic Path Properties in Concurrent Systems of Constant Treewidth Components,
IST Austria, 2015.
date_created: 2018-12-12T11:39:21Z
date_published: 2015-07-11T00:00:00Z
date_updated: 2025-04-15T08:11:48Z
day: '11'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-340-v1-1
file:
- access_level: open_access
checksum: df383dc62c94d7b2ea639aba088a76c6
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:09Z
date_updated: 2020-07-14T12:46:56Z
file_id: '5531'
file_name: IST-2015-340-v1+1_main.pdf
file_size: 861396
relation: main_file
file_date_updated: 2020-07-14T12:46:56Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '24'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '340'
related_material:
record:
- id: '5442'
relation: earlier_version
status: public
- id: '6009'
relation: later_version
status: public
- id: '1437'
relation: later_version
status: public
status: public
title: Algorithms for algebraic path properties in concurrent systems of constant
treewidth components
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5443'
abstract:
- lang: eng
text: POMDPs are standard models for probabilistic planning problems, where an agent
interacts with an uncertain environment. We study the problem of almost-sure reachability,
where given a set of target states, the question is to decide whether there is
a policy to ensure that the target set is reached with probability 1 (almost-surely).
While in general the problem is EXPTIME-complete, in many practical cases policies
with a small amount of memory suffice. Moreover, the existing solution to the
problem is explicit, which first requires to construct explicitly an exponential
reduction to a belief-support MDP. In this work, we first study the existence
of observation-stationary strategies, which is NP-complete, and then small-memory
strategies. We present a symbolic algorithm by an efficient encoding to SAT and
using a SAT solver for the problem. We report experimental results demonstrating
the scalability of our symbolic (SAT-based) approach.
alternative_title:
- IST Austria Technical Report
author:
- 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: Chmelik, Martin
id: 3624234E-F248-11E8-B48F-1D18A9856A87
last_name: Chmelik
- first_name: Jessica
full_name: Davies, Jessica
id: 378E0060-F248-11E8-B48F-1D18A9856A87
last_name: Davies
citation:
ama: Chatterjee K, Chmelik M, Davies J. A Symbolic SAT-Based Algorithm for Almost-Sure
Reachability with Small Strategies in POMDPs. IST Austria; 2015. doi:10.15479/AT:IST-2015-325-v2-1
apa: Chatterjee, K., Chmelik, M., & Davies, J. (2015). A symbolic SAT-based
algorithm for almost-sure reachability with small strategies in POMDPs. IST
Austria. https://doi.org/10.15479/AT:IST-2015-325-v2-1
chicago: Chatterjee, Krishnendu, Martin Chmelik, and Jessica Davies. A Symbolic
SAT-Based Algorithm for Almost-Sure Reachability with Small Strategies in POMDPs.
IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-325-v2-1.
ieee: K. Chatterjee, M. Chmelik, and J. Davies, A symbolic SAT-based algorithm
for almost-sure reachability with small strategies in POMDPs. IST Austria,
2015.
ista: Chatterjee K, Chmelik M, Davies J. 2015. A symbolic SAT-based algorithm for
almost-sure reachability with small strategies in POMDPs, IST Austria, 23p.
mla: Chatterjee, Krishnendu, et al. A Symbolic SAT-Based Algorithm for Almost-Sure
Reachability with Small Strategies in POMDPs. IST Austria, 2015, doi:10.15479/AT:IST-2015-325-v2-1.
short: K. Chatterjee, M. Chmelik, J. Davies, A Symbolic SAT-Based Algorithm for
Almost-Sure Reachability with Small Strategies in POMDPs, IST Austria, 2015.
date_created: 2018-12-12T11:39:22Z
date_published: 2015-11-06T00:00:00Z
date_updated: 2025-06-25T11:52:13Z
day: '06'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-325-v2-1
file:
- access_level: open_access
checksum: f0fa31ad8161ed655137e94012123ef9
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:05Z
date_updated: 2020-07-14T12:46:57Z
file_id: '5466'
file_name: IST-2015-325-v2+1_main.pdf
file_size: 412379
relation: main_file
file_date_updated: 2020-07-14T12:46:57Z
has_accepted_license: '1'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: '23'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '362'
related_material:
record:
- id: '1166'
relation: later_version
status: public
status: public
title: A symbolic SAT-based algorithm for almost-sure reachability with small strategies
in POMDPs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...
---
_id: '5444'
abstract:
- lang: eng
text: A comprehensive understanding of the clonal evolution of cancer is critical
for understanding neoplasia. Genome-wide sequencing data enables evolutionary
studies at unprecedented depth. However, classical phylogenetic methods often
struggle with noisy sequencing data of impure DNA samples and fail to detect subclones
that have different evolutionary trajectories. We have developed a tool, called
Treeomics, that allows us to reconstruct the phylogeny of a cancer with commonly
available sequencing technologies. Using Bayesian inference and Integer Linear
Programming, robust phylogenies consistent with the biological processes underlying
cancer evolution were obtained for pancreatic, ovarian, and prostate cancers.
Furthermore, Treeomics correctly identified sequencing artifacts such as those
resulting from low statistical power; nearly 7% of variants were misclassified
by conventional statistical methods. These artifacts can skew phylogenies by creating
illusory tumor heterogeneity among distinct samples. Importantly, we show that
the evolutionary trees generated with Treeomics are mathematically optimal.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Johannes
full_name: Reiter, Johannes
id: 4A918E98-F248-11E8-B48F-1D18A9856A87
last_name: Reiter
orcid: 0000-0002-0170-7353
- first_name: Alvin
full_name: Makohon-Moore, Alvin
last_name: Makohon-Moore
- first_name: Jeffrey
full_name: Gerold, Jeffrey
last_name: Gerold
- first_name: Ivana
full_name: Bozic, Ivana
last_name: Bozic
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Christine
full_name: Iacobuzio-Donahue, Christine
last_name: Iacobuzio-Donahue
- first_name: Bert
full_name: Vogelstein, Bert
last_name: Vogelstein
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: Reiter J, Makohon-Moore A, Gerold J, et al. Reconstructing Robust Phylogenies
of Metastatic Cancers. IST Austria; 2015. doi:10.15479/AT:IST-2015-399-v1-1
apa: Reiter, J., Makohon-Moore, A., Gerold, J., Bozic, I., Chatterjee, K., Iacobuzio-Donahue,
C., … Nowak, M. (2015). Reconstructing robust phylogenies of metastatic cancers.
IST Austria. https://doi.org/10.15479/AT:IST-2015-399-v1-1
chicago: Reiter, Johannes, Alvin Makohon-Moore, Jeffrey Gerold, Ivana Bozic, Krishnendu
Chatterjee, Christine Iacobuzio-Donahue, Bert Vogelstein, and Martin Nowak. Reconstructing
Robust Phylogenies of Metastatic Cancers. IST Austria, 2015. https://doi.org/10.15479/AT:IST-2015-399-v1-1.
ieee: J. Reiter et al., Reconstructing robust phylogenies of metastatic
cancers. IST Austria, 2015.
ista: Reiter J, Makohon-Moore A, Gerold J, Bozic I, Chatterjee K, Iacobuzio-Donahue
C, Vogelstein B, Nowak M. 2015. Reconstructing robust phylogenies of metastatic
cancers, IST Austria, 25p.
mla: Reiter, Johannes, et al. Reconstructing Robust Phylogenies of Metastatic
Cancers. IST Austria, 2015, doi:10.15479/AT:IST-2015-399-v1-1.
short: J. Reiter, A. Makohon-Moore, J. Gerold, I. Bozic, K. Chatterjee, C. Iacobuzio-Donahue,
B. Vogelstein, M. Nowak, Reconstructing Robust Phylogenies of Metastatic Cancers,
IST Austria, 2015.
date_created: 2018-12-12T11:39:22Z
date_published: 2015-12-30T00:00:00Z
date_updated: 2020-07-14T23:05:07Z
day: '30'
ddc:
- '000'
- '576'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2015-399-v1-1
file:
- access_level: open_access
checksum: c47d33bdda06181753c0af36f16e7b5d
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:24Z
date_updated: 2020-07-14T12:46:58Z
file_id: '5485'
file_name: IST-2015-399-v1+1_treeomics.pdf
file_size: 3533200
relation: main_file
file_date_updated: 2020-07-14T12:46:58Z
has_accepted_license: '1'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: '25'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '399'
status: public
title: Reconstructing robust phylogenies of metastatic cancers
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2015'
...