---
_id: '3343'
abstract:
- lang: eng
text: 'We present faster and dynamic algorithms for the following problems arising
in probabilistic verification: Computation of the maximal end-component (mec)
decomposition of Markov decision processes (MDPs), and of the almost sure winning
set for reachability and parity objectives in MDPs. We achieve the following running
time for static algorithms in MDPs with graphs of n vertices and m edges: (1)
O(m · min{ √m, n2/3 }) for the mec decomposition, improving the longstanding O(m·n)
bound; (2) O(m·n2/3) for reachability objectives, improving the previous O(m ·
√m) bound for m > n4/3; and (3) O(m · min{ √m, n2/3 } · log(d)) for parity
objectives with d priorities, improving the previous O(m · √m · d) bound. We also
give incremental and decremental algorithms in linear time for mec decomposition
and reachability objectives and O(m · log d) time for parity ob jectives.'
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
citation:
ama: 'Chatterjee K, Henzinger MH. Faster and dynamic algorithms for maximal end-component
decomposition and related graph problems in probabilistic verification. In: SIAM;
2011:1318-1336. doi:10.1137/1.9781611973082.101'
apa: 'Chatterjee, K., & Henzinger, M. H. (2011). Faster and dynamic algorithms
for maximal end-component decomposition and related graph problems in probabilistic
verification (pp. 1318–1336). Presented at the SODA: Symposium on Discrete Algorithms,
San Francisco, SA, United States: SIAM. https://doi.org/10.1137/1.9781611973082.101'
chicago: Chatterjee, Krishnendu, and Monika H Henzinger. “Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification,” 1318–36. SIAM, 2011. https://doi.org/10.1137/1.9781611973082.101.
ieee: 'K. Chatterjee and M. H. Henzinger, “Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification,”
presented at the SODA: Symposium on Discrete Algorithms, San Francisco, SA, United
States, 2011, pp. 1318–1336.'
ista: 'Chatterjee K, Henzinger MH. 2011. Faster and dynamic algorithms for maximal
end-component decomposition and related graph problems in probabilistic verification.
SODA: Symposium on Discrete Algorithms, 1318–1336.'
mla: Chatterjee, Krishnendu, and Monika H. Henzinger. Faster and Dynamic Algorithms
for Maximal End-Component Decomposition and Related Graph Problems in Probabilistic
Verification. SIAM, 2011, pp. 1318–36, doi:10.1137/1.9781611973082.101.
short: K. Chatterjee, M.H. Henzinger, in:, SIAM, 2011, pp. 1318–1336.
conference:
end_date: 2011-01-25
location: San Francisco, SA, United States
name: 'SODA: Symposium on Discrete Algorithms'
start_date: 2011-01-23
date_created: 2018-12-11T12:02:47Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2023-02-14T10:36:10Z
day: '01'
department:
- _id: KrCh
doi: 10.1137/1.9781611973082.101
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://eprints.cs.univie.ac.at/21/
month: '01'
oa: 1
oa_version: Submitted Version
page: 1318 - 1336
publication_status: published
publisher: SIAM
publist_id: '3278'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster and dynamic algorithms for maximal end-component decomposition and related
graph problems in probabilistic verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3344'
abstract:
- lang: eng
text: 'Games played on graphs provide the mathematical framework to analyze several
important problems in computer science as well as mathematics, such as the synthesis
problem of Church, model checking of open reactive systems and many others. On
the basis of mode of interaction of the players these games can be classified
as follows: (a) turn-based (players make moves in turns); and (b) concurrent (players
make moves simultaneously). On the basis of the information available to the players
these games can be classified as follows: (a) perfect-information (players have
perfect view of the game); and (b) partial-information (players have partial view
of the game). In this talk we will consider all these classes of games with reachability
objectives, where the goal of one player is to reach a set of target vertices
of the graph, and the goal of the opponent player is to prevent the player from
reaching the target. We will survey the results for various classes of games,
and the results range from linear time decision algorithms to EXPTIME-complete
problems to undecidable problems.'
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: 'Chatterjee K. Graph games with reachability objectives. In: Delzanno G, Potapov
I, eds. Vol 6945. Springer; 2011:1-1. doi:10.1007/978-3-642-24288-5_1'
apa: 'Chatterjee, K. (2011). Graph games with reachability objectives. In G. Delzanno
& I. Potapov (Eds.) (Vol. 6945, pp. 1–1). Presented at the RP: Reachability
Problems, Genoa, Italy: Springer. https://doi.org/10.1007/978-3-642-24288-5_1'
chicago: Chatterjee, Krishnendu. “Graph Games with Reachability Objectives.” edited
by Giorgo Delzanno and Igor Potapov, 6945:1–1. Springer, 2011. https://doi.org/10.1007/978-3-642-24288-5_1.
ieee: 'K. Chatterjee, “Graph games with reachability objectives,” presented at the
RP: Reachability Problems, Genoa, Italy, 2011, vol. 6945, pp. 1–1.'
ista: 'Chatterjee K. 2011. Graph games with reachability objectives. RP: Reachability
Problems, LNCS, vol. 6945, 1–1.'
mla: Chatterjee, Krishnendu. Graph Games with Reachability Objectives. Edited
by Giorgo Delzanno and Igor Potapov, vol. 6945, Springer, 2011, pp. 1–1, doi:10.1007/978-3-642-24288-5_1.
short: K. Chatterjee, in:, G. Delzanno, I. Potapov (Eds.), Springer, 2011, pp. 1–1.
conference:
end_date: 2011-09-30
location: Genoa, Italy
name: 'RP: Reachability Problems'
start_date: 2011-09-28
date_created: 2018-12-11T12:02:47Z
date_published: 2011-10-15T00:00:00Z
date_updated: 2021-01-12T07:42:48Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-24288-5_1
editor:
- first_name: Giorgo
full_name: Delzanno, Giorgo
last_name: Delzanno
- first_name: Igor
full_name: Potapov, Igor
last_name: Potapov
intvolume: ' 6945'
language:
- iso: eng
month: '10'
oa_version: None
page: 1 - 1
publication_status: published
publisher: Springer
publist_id: '3277'
quality_controlled: '1'
status: public
title: Graph games with reachability objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6945
year: '2011'
...
---
_id: '5379'
abstract:
- lang: eng
text: Computing the winning set for Büchi objectives in alternating games on graphs
is a central problem in computer aided verification with a large number of applications.
The long standing best known upper bound for solving the problem is ̃O(n·m), where
n is the number of vertices and m is the number of edges in the graph. We are
the first to break the ̃O(n·m) boundary by presenting a new technique that reduces
the running time to O(n2). This bound also leads to O(n2) time algorithms for
computing the set of almost-sure winning vertices for Büchi objectives (1) in
alternating games with probabilistic transitions (improving an earlier bound of
O(n·m)), (2) in concurrent graph games with constant actions (improving an earlier
bound of O(n3)), and (3) in Markov decision processes (improving for m > n4/3
an earlier bound of O(min(m1.5, m·n2/3)). We also show that the same technique
can be used to compute the maximal end-component decomposition of a graph in time
O(n2), which is an improvement over earlier bounds for m > n4/3. Finally, we show
how to maintain the winning set for Büchi objectives in alternating games under
a sequence of edge insertions or a sequence of edge deletions in O(n) amortized
time per operation. This is the first dynamic algorithm for this problem.
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: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
citation:
ama: Chatterjee K, Henzinger MH. An O(N2) Time Algorithm for Alternating Büchi
Games. IST Austria; 2011. doi:10.15479/AT:IST-2011-0009
apa: Chatterjee, K., & Henzinger, M. H. (2011). An O(n2) time algorithm for
alternating Büchi games. IST Austria. https://doi.org/10.15479/AT:IST-2011-0009
chicago: Chatterjee, Krishnendu, and Monika H Henzinger. An O(N2) Time Algorithm
for Alternating Büchi Games. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0009.
ieee: K. Chatterjee and M. H. Henzinger, An O(n2) time algorithm for alternating
Büchi games. IST Austria, 2011.
ista: Chatterjee K, Henzinger MH. 2011. An O(n2) time algorithm for alternating
Büchi games, IST Austria, 20p.
mla: Chatterjee, Krishnendu, and Monika H. Henzinger. An O(N2) Time Algorithm
for Alternating Büchi Games. IST Austria, 2011, doi:10.15479/AT:IST-2011-0009.
short: K. Chatterjee, M.H. Henzinger, An O(N2) Time Algorithm for Alternating Büchi
Games, IST Austria, 2011.
date_created: 2018-12-12T11:38:59Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2023-02-23T11:15:12Z
day: '11'
ddc:
- '000'
- '004'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0009
file:
- access_level: open_access
checksum: 0b354264229045d982332fd2cb5b9a26
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:43Z
date_updated: 2020-07-14T12:46:39Z
file_id: '5504'
file_name: IST-2011-0009_IST-2011-0009.pdf
file_size: 388665
relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '15'
related_material:
record:
- id: '3165'
relation: later_version
status: public
status: public
title: An O(n2) time algorithm for alternating Büchi games
type: technical_report
user_id: 6785fbc1-c503-11eb-8a32-93094b40e1cf
year: '2011'
...
---
_id: '5380'
abstract:
- lang: eng
text: 'We consider 2-player games played on a finite state space for an infinite
number of rounds. The games are concurrent: in each round, the two players (player
1 and player 2) choose their moves independently and simultaneously; the current
state and the two moves determine the successor state. We study concurrent games
with ω-regular winning conditions specified as parity objectives. We consider
the qualitative analysis problems: the computation of the almost-sure and limit-sure
winning set of states, where player 1 can ensure to win with probability 1 and
with probability arbitrarily close to 1, respectively. In general the almost-sure
and limit-sure winning strategies require both infinite-memory as well as infinite-precision
(to describe probabilities). We study the bounded-rationality problem for qualitative
analysis of concurrent parity games, where the strategy set for player 1 is restricted
to bounded-resource strategies. In terms of precision, strategies can be deterministic,
uniform, finite-precision or infinite-precision; and in terms of memory, strategies
can be memoryless, finite-memory or infinite-memory. We present a precise and
complete characterization of the qualitative winning sets for all combinations
of classes of strategies. In particular, we show that uniform memoryless strategies
are as powerful as finite-precision infinite-memory strategies, and infinite-precision
memoryless strategies are as powerful as infinite-precision finite-memory strategies. We
show that the winning sets can be computed in O(n2d+3) time, where n is the size
of the game structure and 2d is the number of priorities (or colors), and our
algorithms are symbolic. The membership problem of whether a state belongs to
a winning set can be decided in NP ∩ coNP. While this complexity is the same as
for the simpler class of turn-based parity games, where in each state only one
of the two players has a choice of moves, our algorithms,that are obtained by
characterization of the winning sets as μ-calculus formulas, are considerably
more involved than those for turn-based games.'
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
citation:
ama: Chatterjee K. Bounded Rationality in Concurrent Parity Games. IST Austria;
2011. doi:10.15479/AT:IST-2011-0008
apa: Chatterjee, K. (2011). Bounded rationality in concurrent parity games.
IST Austria. https://doi.org/10.15479/AT:IST-2011-0008
chicago: Chatterjee, Krishnendu. Bounded Rationality in Concurrent Parity Games.
IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0008.
ieee: K. Chatterjee, Bounded rationality in concurrent parity games. IST
Austria, 2011.
ista: Chatterjee K. 2011. Bounded rationality in concurrent parity games, IST Austria,
53p.
mla: Chatterjee, Krishnendu. Bounded Rationality in Concurrent Parity Games.
IST Austria, 2011, doi:10.15479/AT:IST-2011-0008.
short: K. Chatterjee, Bounded Rationality in Concurrent Parity Games, IST Austria,
2011.
date_created: 2018-12-12T11:39:00Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2023-02-23T11:22:53Z
day: '11'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0008
file:
- access_level: open_access
checksum: 0fd38186409be819a911c4990fa79d1f
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:22Z
date_updated: 2020-07-14T12:46:39Z
file_id: '5544'
file_name: IST-2011-0008_IST-2011-0008.pdf
file_size: 500399
relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '53'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '16'
related_material:
record:
- id: '3338'
relation: later_version
status: public
status: public
title: Bounded rationality in concurrent parity games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5381'
abstract:
- lang: eng
text: "In two-player finite-state stochastic games of partial obser- vation on graphs,
in every state of the graph, the players simultaneously choose an action, and
their joint actions determine a probability distri- bution over the successor
states. The game is played for infinitely many rounds and thus the players construct
an infinite path in the graph. We consider reachability objectives where the first
player tries to ensure a target state to be visited almost-surely (i.e., with
probability 1) or pos- itively (i.e., with positive probability), no matter the
strategy of the second player.\r\n\r\nWe classify such games according to the
information and to the power of randomization available to the players. On the
basis of information, the game can be one-sided with either (a) player 1, or (b)
player 2 having partial observation (and the other player has perfect observation),
or two- sided with (c) both players having partial observation. On the basis of
randomization, (a) the players may not be allowed to use randomization (pure strategies),
or (b) they may choose a probability distribution over actions but the actual
random choice is external and not visible to the player (actions invisible), or
(c) they may use full randomization.\r\n\r\nOur main results for pure strategies
are as follows: (1) For one-sided games with player 2 perfect observation we show
that (in contrast to full randomized strategies) belief-based (subset-construction
based) strate- gies are not sufficient, and present an exponential upper bound
on mem- ory both for almost-sure and positive winning strategies; we show that
the problem of deciding the existence of almost-sure and positive winning strategies
for player 1 is EXPTIME-complete and present symbolic algo- rithms that avoid
the explicit exponential construction. (2) For one-sided games with player 1 perfect
observation we show that non-elementary memory is both necessary and sufficient
for both almost-sure and posi- tive winning strategies. (3) We show that for the
general (two-sided) case finite-memory strategies are sufficient for both positive
and almost-sure winning, and at least non-elementary memory is required. We establish
the equivalence of the almost-sure winning problems for pure strategies and for
randomized strategies with actions invisible. Our equivalence re- sult exhibit
serious flaws in previous results in the literature: we show a non-elementary
memory lower bound for almost-sure winning whereas an exponential upper bound
was previously claimed."
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: 'Chatterjee K, Doyen L. Partial-Observation Stochastic Games: How to Win
When Belief Fails. IST Austria; 2011. doi:10.15479/AT:IST-2011-0007'
apa: 'Chatterjee, K., & Doyen, L. (2011). Partial-observation stochastic
games: How to win when belief fails. IST Austria. https://doi.org/10.15479/AT:IST-2011-0007'
chicago: 'Chatterjee, Krishnendu, and Laurent Doyen. Partial-Observation Stochastic
Games: How to Win When Belief Fails. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0007.'
ieee: 'K. Chatterjee and L. Doyen, Partial-observation stochastic games: How
to win when belief fails. IST Austria, 2011.'
ista: 'Chatterjee K, Doyen L. 2011. Partial-observation stochastic games: How to
win when belief fails, IST Austria, 43p.'
mla: 'Chatterjee, Krishnendu, and Laurent Doyen. Partial-Observation Stochastic
Games: How to Win When Belief Fails. IST Austria, 2011, doi:10.15479/AT:IST-2011-0007.'
short: 'K. Chatterjee, L. Doyen, Partial-Observation Stochastic Games: How to Win
When Belief Fails, IST Austria, 2011.'
date_created: 2018-12-12T11:39:00Z
date_published: 2011-07-05T00:00:00Z
date_updated: 2023-02-23T11:05:48Z
day: '05'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0007
file:
- access_level: open_access
checksum: 06bf6dfc97f6006e3fd0e9a3f31bc961
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:27Z
date_updated: 2020-07-14T12:46:39Z
file_id: '5488'
file_name: IST-2011-0007_IST-2011-0007.pdf
file_size: 574055
relation: main_file
file_date_updated: 2020-07-14T12:46:39Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: '43'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '17'
related_material:
record:
- id: '1903'
relation: later_version
status: public
- id: '2211'
relation: later_version
status: public
- id: '2955'
relation: later_version
status: public
status: public
title: 'Partial-observation stochastic games: How to win when belief fails'
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5382'
abstract:
- lang: eng
text: 'We consider two-player stochastic games played on a finite state space for
an infinite num- ber of rounds. The games are concurrent: in each round, the two
players (player 1 and player 2) choose their moves independently and simultaneously;
the current state and the two moves determine a probability distribution over
the successor states. We also consider the important special case of turn-based
stochastic games where players make moves in turns, rather than concurrently.
We study concurrent games with ω-regular winning conditions specified as parity
objectives. The value for player 1 for a parity objective is the maximal probability
with which the player can guarantee the satisfaction of the objective against
all strategies of the opponent. We study the problem of continuity and robustness
of the value function in concurrent and turn-based stochastic parity games with
respect to imprecision in the transition probabilities. We present quantitative
bounds on the difference of the value function (in terms of the imprecision of
the transition probabilities) and show the value continuity for structurally equivalent
concurrent games (two games are structurally equivalent if the support of the
transition func- tion is same and the probabilities differ). We also show robustness
of optimal strategies for structurally equivalent turn-based stochastic parity
games. Finally we show that the value continuity property breaks without the structurally
equivalent assumption (even for Markov chains) and show that our quantitative
bound is asymptotically optimal. Hence our results are tight (the assumption is
both necessary and sufficient) and optimal (our quantitative bound is asymptotically
optimal).'
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
citation:
ama: Chatterjee K. Robustness of Structurally Equivalent Concurrent Parity Games.
IST Austria; 2011. doi:10.15479/AT:IST-2011-0006
apa: Chatterjee, K. (2011). Robustness of structurally equivalent concurrent
parity games. IST Austria. https://doi.org/10.15479/AT:IST-2011-0006
chicago: Chatterjee, Krishnendu. Robustness of Structurally Equivalent Concurrent
Parity Games. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0006.
ieee: K. Chatterjee, Robustness of structurally equivalent concurrent parity
games. IST Austria, 2011.
ista: Chatterjee K. 2011. Robustness of structurally equivalent concurrent parity
games, IST Austria, 18p.
mla: Chatterjee, Krishnendu. Robustness of Structurally Equivalent Concurrent
Parity Games. IST Austria, 2011, doi:10.15479/AT:IST-2011-0006.
short: K. Chatterjee, Robustness of Structurally Equivalent Concurrent Parity Games,
IST Austria, 2011.
date_created: 2018-12-12T11:39:00Z
date_published: 2011-06-27T00:00:00Z
date_updated: 2023-02-23T11:23:01Z
day: '27'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0006
file:
- access_level: open_access
checksum: 1322b652d6ab07eb5248298a3f91c1cf
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:24Z
date_updated: 2020-07-14T12:46:40Z
file_id: '5546'
file_name: IST-2011-0006_IST-2011-0006.pdf
file_size: 335997
relation: main_file
file_date_updated: 2020-07-14T12:46:40Z
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: '18'
related_material:
record:
- id: '3341'
relation: later_version
status: public
status: public
title: Robustness of structurally equivalent concurrent parity games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5384'
abstract:
- lang: eng
text: 'We consider probabilistic automata on infinite words with acceptance defined
by parity conditions. We consider three qualitative decision problems: (i) the
positive decision problem asks whether there is a word that is accepted with positive
probability; (ii) the almost decision problem asks whether there is a word that
is accepted with probability 1; and (iii) the limit decision problem asks whether
for every ε > 0 there is a word that is accepted with probability at least 1 −
ε. We unify and generalize several decidability results for probabilistic automata
over infinite words, and identify a robust (closed under union and intersection)
subclass of probabilistic automata for which all the qualitative decision problems
are decidable for parity conditions. We also show that if the input words are
restricted to lasso shape words, then the positive and almost problems are decidable
for all probabilistic automata with parity conditions.'
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: Mathieu
full_name: Tracol, Mathieu
id: 3F54FA38-F248-11E8-B48F-1D18A9856A87
last_name: Tracol
citation:
ama: Chatterjee K, Tracol M. Decidable Problems for Probabilistic Automata on
Infinite Words. IST Austria; 2011. doi:10.15479/AT:IST-2011-0004
apa: Chatterjee, K., & Tracol, M. (2011). Decidable problems for probabilistic
automata on infinite words. IST Austria. https://doi.org/10.15479/AT:IST-2011-0004
chicago: Chatterjee, Krishnendu, and Mathieu Tracol. Decidable Problems for Probabilistic
Automata on Infinite Words. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0004.
ieee: K. Chatterjee and M. Tracol, Decidable problems for probabilistic automata
on infinite words. IST Austria, 2011.
ista: Chatterjee K, Tracol M. 2011. Decidable problems for probabilistic automata
on infinite words, IST Austria, 30p.
mla: Chatterjee, Krishnendu, and Mathieu Tracol. Decidable Problems for Probabilistic
Automata on Infinite Words. IST Austria, 2011, doi:10.15479/AT:IST-2011-0004.
short: K. Chatterjee, M. Tracol, Decidable Problems for Probabilistic Automata on
Infinite Words, IST Austria, 2011.
date_created: 2018-12-12T11:39:01Z
date_published: 2011-04-11T00:00:00Z
date_updated: 2023-02-23T11:05:53Z
day: '11'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0004
file:
- access_level: open_access
checksum: f5a0f664fadc335990f5fcf138df19f1
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:23Z
date_updated: 2020-07-14T12:46:40Z
file_id: '5545'
file_name: IST-2011-004_IST-2011-0004.pdf
file_size: 570827
relation: main_file
file_date_updated: 2020-07-14T12:46:40Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '30'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '20'
related_material:
record:
- id: '2957'
relation: later_version
status: public
status: public
title: Decidable problems for probabilistic automata on infinite words
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5385'
abstract:
- lang: eng
text: There is recently a significant effort to add quantitative objectives to formal
verification and synthesis. We introduce and investigate the extension of temporal
logics with quantitative atomic assertions, aiming for a general and flexible
framework for quantitative-oriented specifications. In the heart of quantitative
objectives lies the accumulation of values along a computation. It is either the
accumulated summation, as with the energy objectives, or the accumulated average,
as with the mean-payoff objectives. We investigate the extension of temporal logics
with the prefix-accumulation assertions Sum(v) ≥ c and Avg(v) ≥ c, where v is
a numeric variable of the system, c is a constant rational number, and Sum(v)
and Avg(v) denote the accumulated sum and average of the values of v from the
beginning of the computation up to the current point of time. We also allow the
path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring
to the average value along an entire computation. We study the border of decidability
for extensions of various temporal logics. In particular, we show that extending
the fragment of CTL that has only the EX, EF, AX, and AG temporal modalities by
prefix-accumulation assertions and extending LTL with path-accumulation assertions,
result in temporal logics whose model-checking problem is decidable. The extended
logics allow to significantly extend the currently known energy and mean-payoff
objectives. Moreover, the prefix-accumulation assertions may be refined with “controlled-accumulation”,
allowing, for example, to specify constraints on the average waiting time between
a request and a grant. On the negative side, we show that the fragment we point
to is, in a sense, the maximal logic whose extension with prefix-accumulation
assertions permits a decidable model-checking procedure. Extending a temporal
logic that has the EG or EU modalities, and in particular CTL and LTL, makes the
problem undecidable.
alternative_title:
- IST Austria Technical Report
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- 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: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: Boker U, Chatterjee K, Henzinger TA, Kupferman O. Temporal Specifications
with Accumulative Values. IST Austria; 2011. doi:10.15479/AT:IST-2011-0003
apa: Boker, U., Chatterjee, K., Henzinger, T. A., & Kupferman, O. (2011). Temporal
specifications with accumulative values. IST Austria. https://doi.org/10.15479/AT:IST-2011-0003
chicago: Boker, Udi, Krishnendu Chatterjee, Thomas A Henzinger, and Orna Kupferman.
Temporal Specifications with Accumulative Values. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0003.
ieee: U. Boker, K. Chatterjee, T. A. Henzinger, and O. Kupferman, Temporal specifications
with accumulative values. IST Austria, 2011.
ista: Boker U, Chatterjee K, Henzinger TA, Kupferman O. 2011. Temporal specifications
with accumulative values, IST Austria, 14p.
mla: Boker, Udi, et al. Temporal Specifications with Accumulative Values.
IST Austria, 2011, doi:10.15479/AT:IST-2011-0003.
short: U. Boker, K. Chatterjee, T.A. Henzinger, O. Kupferman, Temporal Specifications
with Accumulative Values, IST Austria, 2011.
date_created: 2018-12-12T11:39:02Z
date_published: 2011-04-04T00:00:00Z
date_updated: 2023-02-23T11:23:41Z
day: '04'
ddc:
- '000'
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.15479/AT:IST-2011-0003
ec_funded: 1
file:
- access_level: open_access
checksum: 8491d0d48c4911620ecd5350b413c11e
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:00Z
date_updated: 2020-07-14T12:46:41Z
file_id: '5461'
file_name: IST-2011-0003_IST-2011-0003.pdf
file_size: 366281
relation: main_file
file_date_updated: 2020-07-14T12:46:41Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '14'
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '21'
related_material:
record:
- id: '2038'
relation: later_version
status: public
- id: '3356'
relation: later_version
status: public
status: public
title: Temporal specifications with accumulative values
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '5387'
abstract:
- lang: eng
text: We consider Markov Decision Processes (MDPs) with mean-payoff parity and energy
parity objectives. In system design, the parity objective is used to encode ω-regular
specifications, and the mean-payoff and energy objectives can be used to model
quantitative resource constraints. The energy condition re- quires that the resource
level never drops below 0, and the mean-payoff condi- tion requires that the limit-average
value of the resource consumption is within a threshold. While these two (energy
and mean-payoff) classical conditions are equivalent for two-player games, we
show that they differ for MDPs. We show that the problem of deciding whether a
state is almost-sure winning (i.e., winning with probability 1) in energy parity
MDPs is in NP ∩ coNP, while for mean- payoff parity MDPs, the problem is solvable
in polynomial time, improving a recent PSPACE bound.
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: Laurent
full_name: Doyen, Laurent
last_name: Doyen
citation:
ama: Chatterjee K, Doyen L. Energy and Mean-Payoff Parity Markov Decision Processes.
IST Austria; 2011. doi:10.15479/AT:IST-2011-0001
apa: Chatterjee, K., & Doyen, L. (2011). Energy and mean-payoff parity Markov
decision processes. IST Austria. https://doi.org/10.15479/AT:IST-2011-0001
chicago: Chatterjee, Krishnendu, and Laurent Doyen. Energy and Mean-Payoff Parity
Markov Decision Processes. IST Austria, 2011. https://doi.org/10.15479/AT:IST-2011-0001.
ieee: K. Chatterjee and L. Doyen, Energy and mean-payoff parity Markov decision
processes. IST Austria, 2011.
ista: Chatterjee K, Doyen L. 2011. Energy and mean-payoff parity Markov decision
processes, IST Austria, 20p.
mla: Chatterjee, Krishnendu, and Laurent Doyen. Energy and Mean-Payoff Parity
Markov Decision Processes. IST Austria, 2011, doi:10.15479/AT:IST-2011-0001.
short: K. Chatterjee, L. Doyen, Energy and Mean-Payoff Parity Markov Decision Processes,
IST Austria, 2011.
date_created: 2018-12-12T11:39:02Z
date_published: 2011-02-16T00:00:00Z
date_updated: 2023-02-23T11:23:11Z
day: '16'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2011-0001
file:
- access_level: open_access
checksum: 824d6c70e6d3feb3e836b009e0b3cf73
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:52:57Z
date_updated: 2020-07-14T12:46:41Z
file_id: '5458'
file_name: IST-2011-0001_IST-2011-0001.pdf
file_size: 329976
relation: main_file
file_date_updated: 2020-07-14T12:46:41Z
has_accepted_license: '1'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: '20'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '23'
related_material:
record:
- id: '3345'
relation: later_version
status: public
status: public
title: Energy and mean-payoff parity Markov decision processes
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3345'
abstract:
- lang: eng
text: We consider Markov Decision Processes (MDPs) with mean-payoff parity and energy
parity objectives. In system design, the parity objective is used to encode ω-regular
specifications, and the mean-payoff and energy objectives can be used to model
quantitative resource constraints. The energy condition re- quires that the resource
level never drops below 0, and the mean-payoff condi- tion requires that the limit-average
value of the resource consumption is within a threshold. While these two (energy
and mean-payoff) classical conditions are equivalent for two-player games, we
show that they differ for MDPs. We show that the problem of deciding whether a
state is almost-sure winning (i.e., winning with probability 1) in energy parity
MDPs is in NP ∩ coNP, while for mean- payoff parity MDPs, the problem is solvable
in polynomial time, improving a recent PSPACE bound.
alternative_title:
- LNCS
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
citation:
ama: 'Chatterjee K, Doyen L. Energy and mean-payoff parity Markov Decision Processes.
In: Vol 6907. Springer; 2011:206-218. doi:10.1007/978-3-642-22993-0_21'
apa: 'Chatterjee, K., & Doyen, L. (2011). Energy and mean-payoff parity Markov
Decision Processes (Vol. 6907, pp. 206–218). Presented at the MFCS: Mathematical
Foundations of Computer Science, Warsaw, Poland: Springer. https://doi.org/10.1007/978-3-642-22993-0_21'
chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Energy and Mean-Payoff Parity
Markov Decision Processes,” 6907:206–18. Springer, 2011. https://doi.org/10.1007/978-3-642-22993-0_21.
ieee: 'K. Chatterjee and L. Doyen, “Energy and mean-payoff parity Markov Decision
Processes,” presented at the MFCS: Mathematical Foundations of Computer Science,
Warsaw, Poland, 2011, vol. 6907, pp. 206–218.'
ista: 'Chatterjee K, Doyen L. 2011. Energy and mean-payoff parity Markov Decision
Processes. MFCS: Mathematical Foundations of Computer Science, LNCS, vol. 6907,
206–218.'
mla: Chatterjee, Krishnendu, and Laurent Doyen. Energy and Mean-Payoff Parity
Markov Decision Processes. Vol. 6907, Springer, 2011, pp. 206–18, doi:10.1007/978-3-642-22993-0_21.
short: K. Chatterjee, L. Doyen, in:, Springer, 2011, pp. 206–218.
conference:
end_date: 2011-08-26
location: Warsaw, Poland
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2011-08-22
date_created: 2018-12-11T12:02:48Z
date_published: 2011-09-28T00:00:00Z
date_updated: 2023-02-23T12:23:59Z
day: '28'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22993-0_21
external_id:
arxiv:
- '1104.2909'
intvolume: ' 6907'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.2909
month: '09'
oa: 1
oa_version: Preprint
page: 206 - 218
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Springer
publist_id: '3276'
quality_controlled: '1'
related_material:
record:
- id: '5387'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Energy and mean-payoff parity Markov Decision Processes
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6907
year: '2011'
...
---
_id: '3346'
abstract:
- lang: eng
text: We study Markov decision processes (MDPs) with multiple limit-average (or
mean-payoff) functions. We consider two different objectives, namely, expectation
and satisfaction objectives. Given an MDP with k reward functions, in the expectation
objective the goal is to maximize the expected limit-average value, and in the
satisfaction objective the goal is to maximize the probability of runs such that
the limit-average value stays above a given vector. We show that under the expectation
objective, in contrast to the single-objective case, both randomization and memory
are necessary for strategies, and that finite-memory randomized strategies are
sufficient. Under the satisfaction objective, in contrast to the single-objective
case, infinite memory is necessary for strategies, and that randomized memoryless
strategies are sufficient for epsilon-approximation, for all epsilon>;0. We
further prove that the decision problems for both expectation and satisfaction
objectives can be solved in polynomial time and the trade-off curve (Pareto curve)
can be epsilon-approximated in time polynomial in the size of the MDP and 1/epsilon,
and exponential in the number of reward functions, for all epsilon>;0. Our
results also reveal flaws in previous work for MDPs with multiple mean-payoff
functions under the expectation objective, correct the flaws and obtain improved
results.
article_number: '5970225'
author:
- first_name: Tomáš
full_name: Brázdil, Tomáš
last_name: Brázdil
- first_name: Václav
full_name: Brožek, Václav
last_name: Brožek
- 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, Brožek V, Chatterjee K, Forejt V, Kučera A. Two views on multiple
mean payoff objectives in Markov Decision Processes. In: IEEE; 2011. doi:10.1109/LICS.2011.10'
apa: 'Brázdil, T., Brožek, V., Chatterjee, K., Forejt, V., & Kučera, A. (2011).
Two views on multiple mean payoff objectives in Markov Decision Processes. Presented
at the LICS: Logic in Computer Science, Toronto, Canada: IEEE. https://doi.org/10.1109/LICS.2011.10'
chicago: Brázdil, Tomáš, Václav Brožek, Krishnendu Chatterjee, Vojtěch Forejt, and
Antonín Kučera. “Two Views on Multiple Mean Payoff Objectives in Markov Decision
Processes.” IEEE, 2011. https://doi.org/10.1109/LICS.2011.10.
ieee: 'T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, and A. Kučera, “Two views
on multiple mean payoff objectives in Markov Decision Processes,” presented at
the LICS: Logic in Computer Science, Toronto, Canada, 2011.'
ista: 'Brázdil T, Brožek V, Chatterjee K, Forejt V, Kučera A. 2011. Two views on
multiple mean payoff objectives in Markov Decision Processes. LICS: Logic in Computer
Science, 5970225.'
mla: Brázdil, Tomáš, et al. Two Views on Multiple Mean Payoff Objectives in Markov
Decision Processes. 5970225, IEEE, 2011, doi:10.1109/LICS.2011.10.
short: T. Brázdil, V. Brožek, K. Chatterjee, V. Forejt, A. Kučera, in:, IEEE, 2011.
conference:
end_date: 2011-06-24
location: Toronto, Canada
name: 'LICS: Logic in Computer Science'
start_date: 2011-06-21
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-21T00:00:00Z
date_updated: 2021-01-12T07:42:49Z
day: '21'
department:
- _id: KrCh
doi: 10.1109/LICS.2011.10
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3489
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 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_status: published
publisher: IEEE
publist_id: '3275'
quality_controlled: '1'
scopus_import: 1
status: public
title: Two views on multiple mean payoff objectives in Markov Decision Processes
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3347'
abstract:
- lang: eng
text: 'The class of omega-regular languages provides a robust specification language
in verification. Every omega-regular condition can be decomposed into a safety
part and a liveness part. The liveness part ensures that something good happens
"eventually". Finitary liveness was proposed by Alur and Henzinger as
a stronger formulation of liveness. It requires that there exists an unknown,
fixed bound b such that something good happens within b transitions. In this work
we consider automata with finitary acceptance conditions defined by finitary Buchi,
parity and Streett languages. We study languages expressible by such automata:
we give their topological complexity and present a regular-expression characterization.
We compare the expressive power of finitary automata and give optimal algorithms
for classical decisions questions. We show that the finitary languages are Sigma
2-complete; we present a complete picture of the expressive power of various classes
of automata with finitary and infinitary acceptance conditions; we show that the
languages defined by finitary parity automata exactly characterize the star-free
fragment of omega B-regular languages; and we show that emptiness is NLOGSPACE-complete
and universality as well as language inclusion are PSPACE-complete for finitary
parity and Streett automata.'
alternative_title:
- LNCS
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: Nathanaël
full_name: Fijalkow, Nathanaël
id: A1B5DD72-E997-11E9-8398-E808B6C6ADC0
last_name: Fijalkow
citation:
ama: 'Chatterjee K, Fijalkow N. Finitary languages. In: Vol 6638. Springer; 2011:216-226.
doi:10.1007/978-3-642-21254-3_16'
apa: 'Chatterjee, K., & Fijalkow, N. (2011). Finitary languages (Vol. 6638,
pp. 216–226). Presented at the LATA: Language and Automata Theory and Applications,
Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_16'
chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “Finitary Languages,” 6638:216–26.
Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_16.
ieee: 'K. Chatterjee and N. Fijalkow, “Finitary languages,” presented at the LATA:
Language and Automata Theory and Applications, Tarragona, Spain, 2011, vol. 6638,
pp. 216–226.'
ista: 'Chatterjee K, Fijalkow N. 2011. Finitary languages. LATA: Language and Automata
Theory and Applications, LNCS, vol. 6638, 216–226.'
mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. Finitary Languages.
Vol. 6638, Springer, 2011, pp. 216–26, doi:10.1007/978-3-642-21254-3_16.
short: K. Chatterjee, N. Fijalkow, in:, Springer, 2011, pp. 216–226.
conference:
end_date: 2011-05-31
location: Tarragona, Spain
name: 'LATA: Language and Automata Theory and Applications'
start_date: 2011-05-26
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-16T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '16'
department:
- _id: KrCh
doi: 10.1007/978-3-642-21254-3_16
external_id:
arxiv:
- '1101.1727'
intvolume: ' 6638'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.1727
month: '06'
oa: 1
oa_version: Preprint
page: 216 - 226
project:
- _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: '3274'
quality_controlled: '1'
scopus_import: 1
status: public
title: Finitary languages
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6638
year: '2011'
...
---
_id: '3348'
abstract:
- lang: eng
text: We study synthesis of controllers for real-time systems, where the objective
is to stay in a given safe set. The problem is solved by obtaining winning strategies
in the setting of concurrent two-player timed automaton games with safety objectives.
To prevent a player from winning by blocking time, we restrict each player to
strategies that ensure that the player cannot be responsible for causing a zeno
run. We construct winning strategies for the controller which require access only
to (1) the system clocks (thus, controllers which require their own internal infinitely
precise clocks are not necessary), and (2) a linear (in the number of clocks)
number of memory bits. Precisely, we show that for safety objectives, a memory
of size (3 · |C|+lg(|C|+1)) bits suffices for winning controller strategies, where
C is the set of clocks of the timed automaton game, significantly improving the
previous known exponential bound. We also settle the open question of whether
winning region controller strategies require memory for safety objectives by showing
with an example the necessity of memory for region strategies to win for safety
objectives.
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. Synthesis of memory efficient real time controllers
for safety objectives. In: Springer; 2011:221-230. doi:10.1145/1967701.1967734'
apa: 'Chatterjee, K., & Prabhu, V. (2011). Synthesis of memory efficient real
time controllers for safety objectives (pp. 221–230). Presented at the HSCC: Hybrid
Systems - Computation and Control, Chicago, USA: Springer. https://doi.org/10.1145/1967701.1967734'
chicago: Chatterjee, Krishnendu, and Vinayak Prabhu. “Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives,” 221–30. Springer, 2011. https://doi.org/10.1145/1967701.1967734.
ieee: 'K. Chatterjee and V. Prabhu, “Synthesis of memory efficient real time controllers
for safety objectives,” presented at the HSCC: Hybrid Systems - Computation and
Control, Chicago, USA, 2011, pp. 221–230.'
ista: 'Chatterjee K, Prabhu V. 2011. Synthesis of memory efficient real time controllers
for safety objectives. HSCC: Hybrid Systems - Computation and Control, 221–230.'
mla: Chatterjee, Krishnendu, and Vinayak Prabhu. Synthesis of Memory Efficient
Real Time Controllers for Safety Objectives. Springer, 2011, pp. 221–30, doi:10.1145/1967701.1967734.
short: K. Chatterjee, V. Prabhu, in:, Springer, 2011, pp. 221–230.
conference:
end_date: 2011-04-14
location: Chicago, USA
name: 'HSCC: Hybrid Systems - Computation and Control'
start_date: 2011-04-12
date_created: 2018-12-11T12:02:49Z
date_published: 2011-01-31T00:00:00Z
date_updated: 2021-01-12T07:42:50Z
day: '31'
department:
- _id: KrCh
doi: 10.1145/1967701.1967734
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1101.5842
month: '01'
oa: 1
oa_version: Submitted Version
page: 221 - 230
project:
- _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: '3273'
quality_controlled: '1'
scopus_import: 1
status: public
title: Synthesis of memory efficient real time controllers for safety objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3349'
abstract:
- lang: eng
text: 'Games on graphs provide a natural model for reactive non-terminating systems.
In such games, the interaction of two players on an arena results in an infinite
path that describes a run of the system. Different settings are used to model
various open systems in computer science, as for instance turn-based or concurrent
moves, and deterministic or stochastic transitions. In this paper, we are interested
in turn-based games, and specifically in deterministic parity games and stochastic
reachability games (also known as simple stochastic games). We present a simple,
direct and efficient reduction from deterministic parity games to simple stochastic
games: it yields an arena whose size is linear up to a logarithmic factor in size
of the original arena.'
alternative_title:
- EPTCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Nathanaël
full_name: Fijalkow, Nathanaël
last_name: Fijalkow
citation:
ama: 'Chatterjee K, Fijalkow N. A reduction from parity games to simple stochastic
games. In: Vol 54. EPTCS; 2011:74-86. doi:10.4204/EPTCS.54.6'
apa: 'Chatterjee, K., & Fijalkow, N. (2011). A reduction from parity games to
simple stochastic games (Vol. 54, pp. 74–86). Presented at the GandALF: Games,
Automata, Logic, and Formal Verification, Minori, Italy: EPTCS. https://doi.org/10.4204/EPTCS.54.6'
chicago: Chatterjee, Krishnendu, and Nathanaël Fijalkow. “A Reduction from Parity
Games to Simple Stochastic Games,” 54:74–86. EPTCS, 2011. https://doi.org/10.4204/EPTCS.54.6.
ieee: 'K. Chatterjee and N. Fijalkow, “A reduction from parity games to simple stochastic
games,” presented at the GandALF: Games, Automata, Logic, and Formal Verification,
Minori, Italy, 2011, vol. 54, pp. 74–86.'
ista: 'Chatterjee K, Fijalkow N. 2011. A reduction from parity games to simple stochastic
games. GandALF: Games, Automata, Logic, and Formal Verification, EPTCS, vol. 54,
74–86.'
mla: Chatterjee, Krishnendu, and Nathanaël Fijalkow. A Reduction from Parity
Games to Simple Stochastic Games. Vol. 54, EPTCS, 2011, pp. 74–86, doi:10.4204/EPTCS.54.6.
short: K. Chatterjee, N. Fijalkow, in:, EPTCS, 2011, pp. 74–86.
conference:
end_date: 2011-06-17
location: Minori, Italy
name: 'GandALF: Games, Automata, Logic, and Formal Verification'
start_date: 2011-06-15
date_created: 2018-12-11T12:02:49Z
date_published: 2011-06-04T00:00:00Z
date_updated: 2021-01-12T07:42:51Z
day: '04'
department:
- _id: KrCh
doi: 10.4204/EPTCS.54.6
intvolume: ' 54'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1106.1232
month: '06'
oa: 1
oa_version: Submitted Version
page: 74 - 86
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
publication_status: published
publisher: EPTCS
publist_id: '3272'
scopus_import: 1
status: public
title: A reduction from parity games to simple stochastic games
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2011'
...
---
_id: '3350'
abstract:
- lang: eng
text: A controller for a discrete game with ω-regular objectives requires attention
if, intuitively, it requires measuring the state and switching from the current
control action. Minimum attention controllers are preferable in modern shared
implementations of cyber-physical systems because they produce the least burden
on system resources such as processor time or communication bandwidth. We give
algorithms to compute minimum attention controllers for ω-regular objectives in
imperfect information discrete two-player games. We show a polynomial-time reduction
from minimum attention controller synthesis to synthesis of controllers for mean-payoff
parity objectives in games of incomplete information. This gives an optimal EXPTIME-complete
synthesis algorithm. We show that the minimum attention controller problem is
decidable for infinite state systems with finite bisimulation quotients. In particular,
the problem is decidable for timed and rectangular automata.
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Ritankar
full_name: Majumdar, Ritankar
last_name: Majumdar
citation:
ama: 'Chatterjee K, Majumdar R. Minimum attention controller synthesis for omega
regular objectives. In: Fahrenberg U, Tripakis S, eds. Vol 6919. Springer; 2011:145-159.
doi:10.1007/978-3-642-24310-3_11'
apa: 'Chatterjee, K., & Majumdar, R. (2011). Minimum attention controller synthesis
for omega regular objectives. In U. Fahrenberg & S. Tripakis (Eds.) (Vol.
6919, pp. 145–159). Presented at the FORMATS: Formal Modeling and Analysis of
Timed Systems, Aalborg, Denmark: Springer. https://doi.org/10.1007/978-3-642-24310-3_11'
chicago: Chatterjee, Krishnendu, and Ritankar Majumdar. “Minimum Attention Controller
Synthesis for Omega Regular Objectives.” edited by Uli Fahrenberg and Stavros
Tripakis, 6919:145–59. Springer, 2011. https://doi.org/10.1007/978-3-642-24310-3_11.
ieee: 'K. Chatterjee and R. Majumdar, “Minimum attention controller synthesis for
omega regular objectives,” presented at the FORMATS: Formal Modeling and Analysis
of Timed Systems, Aalborg, Denmark, 2011, vol. 6919, pp. 145–159.'
ista: 'Chatterjee K, Majumdar R. 2011. Minimum attention controller synthesis for
omega regular objectives. FORMATS: Formal Modeling and Analysis of Timed Systems,
LNCS, vol. 6919, 145–159.'
mla: Chatterjee, Krishnendu, and Ritankar Majumdar. Minimum Attention Controller
Synthesis for Omega Regular Objectives. Edited by Uli Fahrenberg and Stavros
Tripakis, vol. 6919, Springer, 2011, pp. 145–59, doi:10.1007/978-3-642-24310-3_11.
short: K. Chatterjee, R. Majumdar, in:, U. Fahrenberg, S. Tripakis (Eds.), Springer,
2011, pp. 145–159.
conference:
end_date: 2011-09-23
location: Aalborg, Denmark
name: 'FORMATS: Formal Modeling and Analysis of Timed Systems'
start_date: 2011-09-21
date_created: 2018-12-11T12:02:49Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:51Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-642-24310-3_11
editor:
- first_name: Uli
full_name: Fahrenberg, Uli
last_name: Fahrenberg
- first_name: Stavros
full_name: Tripakis, Stavros
last_name: Tripakis
intvolume: ' 6919'
language:
- iso: eng
month: '01'
oa_version: None
page: 145 - 159
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Springer
publist_id: '3271'
quality_controlled: '1'
scopus_import: 1
status: public
title: Minimum attention controller synthesis for omega regular objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6919
year: '2011'
...
---
_id: '3351'
abstract:
- lang: eng
text: In two-player games on graph, the players construct an infinite path through
the game graph and get a reward computed by a payoff function over infinite paths.
Over weighted graphs, the typical and most studied payoff functions compute the
limit-average or the discounted sum of the rewards along the path. Besides their
simple definition, these two payoff functions enjoy the property that memoryless
optimal strategies always exist. In an attempt to construct other simple payoff
functions, we define a class of payoff functions which compute an (infinite) weighted
average of the rewards. This new class contains both the limit-average and the
discounted sum functions, and we show that they are the only members of this class
which induce memoryless optimal strategies, showing that there is essentially
no other simple payoff functions.
alternative_title:
- LNCS
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: Rohit
full_name: Singh, Rohit
last_name: Singh
citation:
ama: 'Chatterjee K, Doyen L, Singh R. On memoryless quantitative objectives. In:
Owe O, Steffen M, Telle JA, eds. Vol 6914. Springer; 2011:148-159. doi:10.1007/978-3-642-22953-4_13'
apa: 'Chatterjee, K., Doyen, L., & Singh, R. (2011). On memoryless quantitative
objectives. In O. Owe, M. Steffen, & J. A. Telle (Eds.) (Vol. 6914, pp. 148–159).
Presented at the FCT: Fundamentals of Computation Theory, Oslo, Norway: Springer.
https://doi.org/10.1007/978-3-642-22953-4_13'
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Rohit Singh. “On Memoryless
Quantitative Objectives.” edited by Olaf Owe, Martin Steffen, and Jan Arne Telle,
6914:148–59. Springer, 2011. https://doi.org/10.1007/978-3-642-22953-4_13.
ieee: 'K. Chatterjee, L. Doyen, and R. Singh, “On memoryless quantitative objectives,”
presented at the FCT: Fundamentals of Computation Theory, Oslo, Norway, 2011,
vol. 6914, pp. 148–159.'
ista: 'Chatterjee K, Doyen L, Singh R. 2011. On memoryless quantitative objectives.
FCT: Fundamentals of Computation Theory, LNCS, vol. 6914, 148–159.'
mla: Chatterjee, Krishnendu, et al. On Memoryless Quantitative Objectives.
Edited by Olaf Owe et al., vol. 6914, Springer, 2011, pp. 148–59, doi:10.1007/978-3-642-22953-4_13.
short: K. Chatterjee, L. Doyen, R. Singh, in:, O. Owe, M. Steffen, J.A. Telle (Eds.),
Springer, 2011, pp. 148–159.
conference:
end_date: 2011-08-25
location: Oslo, Norway
name: 'FCT: Fundamentals of Computation Theory'
start_date: 2011-08-22
date_created: 2018-12-11T12:02:50Z
date_published: 2011-04-16T00:00:00Z
date_updated: 2021-01-12T07:42:52Z
day: '16'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22953-4_13
editor:
- first_name: Olaf
full_name: Owe, Olaf
last_name: Owe
- first_name: Martin
full_name: Steffen, Martin
last_name: Steffen
- first_name: Jan Arne
full_name: Telle, Jan Arne
last_name: Telle
intvolume: ' 6914'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3211
month: '04'
oa: 1
oa_version: Submitted Version
page: 148 - 159
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Springer
publist_id: '3270'
quality_controlled: '1'
scopus_import: 1
status: public
title: On memoryless quantitative objectives
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6914
year: '2011'
...
---
_id: '3354'
abstract:
- lang: eng
text: 'We consider two-player games played on a finite state space for an infinite
number of rounds. The games are concurrent: in each round, the two players (player
1 and player 2) choose their moves independently and simultaneously; the current
state and the two moves determine the successor state. We consider ω-regular winning
conditions specified as parity objectives. Both players are allowed to use randomization
when choosing their moves. We study the computation of the limit-winning set of
states, consisting of the states where the sup-inf value of the game for player
1 is 1: in other words, a state is limit-winning if player 1 can ensure a probability
of winning arbitrarily close to 1. We show that the limit-winning set can be computed
in O(n2d+2) time, where n is the size of the game structure and 2d is the number
of priorities (or colors). The membership problem of whether a state belongs to
the limit-winning set can be decided in NP ∩ coNP. While this complexity is the
same as for the simpler class of turn-based parity games, where in each state
only one of the two players has a choice of moves, our algorithms are considerably
more involved than those for turn-based games. This is because concurrent games
do not satisfy two of the most fundamental properties of turn-based parity games.
First, in concurrent games limit-winning strategies require randomization; and
second, they require infinite memory.'
article_number: '28'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- 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, De Alfaro L, Henzinger TA. Qualitative concurrent parity games.
ACM Transactions on Computational Logic (TOCL). 2011;12(4). doi:10.1145/1970398.1970404
apa: Chatterjee, K., De Alfaro, L., & Henzinger, T. A. (2011). Qualitative concurrent
parity games. ACM Transactions on Computational Logic (TOCL). ACM. https://doi.org/10.1145/1970398.1970404
chicago: Chatterjee, Krishnendu, Luca De Alfaro, and Thomas A Henzinger. “Qualitative
Concurrent Parity Games.” ACM Transactions on Computational Logic (TOCL).
ACM, 2011. https://doi.org/10.1145/1970398.1970404.
ieee: K. Chatterjee, L. De Alfaro, and T. A. Henzinger, “Qualitative concurrent
parity games,” ACM Transactions on Computational Logic (TOCL), vol. 12,
no. 4. ACM, 2011.
ista: Chatterjee K, De Alfaro L, Henzinger TA. 2011. Qualitative concurrent parity
games. ACM Transactions on Computational Logic (TOCL). 12(4), 28.
mla: Chatterjee, Krishnendu, et al. “Qualitative Concurrent Parity Games.” ACM
Transactions on Computational Logic (TOCL), vol. 12, no. 4, 28, ACM, 2011,
doi:10.1145/1970398.1970404.
short: K. Chatterjee, L. De Alfaro, T.A. Henzinger, ACM Transactions on Computational
Logic (TOCL) 12 (2011).
date_created: 2018-12-11T12:02:51Z
date_published: 2011-07-04T00:00:00Z
date_updated: 2023-02-23T10:26:18Z
day: '04'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1145/1970398.1970404
intvolume: ' 12'
issue: '4'
language:
- iso: eng
month: '07'
oa_version: None
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: ACM Transactions on Computational Logic (TOCL)
publication_status: published
publisher: ACM
publist_id: '3262'
quality_controlled: '1'
related_material:
record:
- id: '2054'
relation: later_version
status: public
scopus_import: 1
status: public
title: Qualitative concurrent parity games
type: journal_article
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 12
year: '2011'
...
---
_id: '3356'
abstract:
- lang: eng
text: There is recently a significant effort to add quantitative objectives to formal
verification and synthesis. We introduce and investigate the extension of temporal
logics with quantitative atomic assertions, aiming for a general and flexible
framework for quantitative-oriented specifications. In the heart of quantitative
objectives lies the accumulation of values along a computation. It is either the
accumulated summation, as with the energy objectives, or the accumulated average,
as with the mean-payoff objectives. We investigate the extension of temporal logics
with the prefix-accumulation assertions Sum(v) ≥ c and Avg(v) ≥ c, where v is
a numeric variable of the system, c is a constant rational number, and Sum(v)
and Avg(v) denote the accumulated sum and average of the values of v from the
beginning of the computation up to the current point of time. We also allow the
path-accumulation assertions LimInfAvg(v) ≥ c and LimSupAvg(v) ≥ c, referring
to the average value along an entire computation. We study the border of decidability
for extensions of various temporal logics. In particular, we show that extending
the fragment of CTL that has only the EX, EF, AX, and AG temporal modalities by
prefix-accumulation assertions and extending LTL with path-accumulation assertions,
result in temporal logics whose model-checking problem is decidable. The extended
logics allow to significantly extend the currently known energy and mean-payoff
objectives. Moreover, the prefix-accumulation assertions may be refined with "controlled-accumulation",
allowing, for example, to specify constraints on the average waiting time between
a request and a grant. On the negative side, we show that the fragment we point
to is, in a sense, the maximal logic whose extension with prefix-accumulation
assertions permits a decidable model-checking procedure. Extending a temporal
logic that has the EG or EU modalities, and in particular CTL and LTL, makes the
problem undecidable.
article_number: '5970226'
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- 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: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Boker U, Chatterjee K, Henzinger TA, Kupferman O. Temporal specifications
with accumulative values. In: IEEE; 2011. doi:10.1109/LICS.2011.33'
apa: 'Boker, U., Chatterjee, K., Henzinger, T. A., & Kupferman, O. (2011). Temporal
specifications with accumulative values. Presented at the LICS: Logic in Computer
Science, Toronto, Canada: IEEE. https://doi.org/10.1109/LICS.2011.33'
chicago: Boker, Udi, Krishnendu Chatterjee, Thomas A Henzinger, and Orna Kupferman.
“Temporal Specifications with Accumulative Values.” IEEE, 2011. https://doi.org/10.1109/LICS.2011.33.
ieee: 'U. Boker, K. Chatterjee, T. A. Henzinger, and O. Kupferman, “Temporal specifications
with accumulative values,” presented at the LICS: Logic in Computer Science, Toronto,
Canada, 2011.'
ista: 'Boker U, Chatterjee K, Henzinger TA, Kupferman O. 2011. Temporal specifications
with accumulative values. LICS: Logic in Computer Science, 5970226.'
mla: Boker, Udi, et al. Temporal Specifications with Accumulative Values.
5970226, IEEE, 2011, doi:10.1109/LICS.2011.33.
short: U. Boker, K. Chatterjee, T.A. Henzinger, O. Kupferman, in:, IEEE, 2011.
conference:
end_date: 2011-06-24
location: Toronto, Canada
name: 'LICS: Logic in Computer Science'
start_date: 2011-06-21
date_created: 2018-12-11T12:02:52Z
date_published: 2011-06-21T00:00:00Z
date_updated: 2023-02-23T12:23:54Z
day: '21'
ddc:
- '000'
- '004'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1109/LICS.2011.33
ec_funded: 1
file:
- access_level: open_access
checksum: 792128f5455f0f40f1105f0398e05fa9
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:12:42Z
date_updated: 2020-07-14T12:46:09Z
file_id: '4960'
file_name: IST-2012-83-v1+1_Temporal_specifications_with_accumulative_values.pdf
file_size: 225426
relation: main_file
file_date_updated: 2020-07-14T12:46:09Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25EFB36C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '215543'
name: COMponent-Based Embedded Systems design Techniques
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F1337C-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '214373'
name: Design for Embedded Systems
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: IEEE
publist_id: '3259'
pubrep_id: '83'
related_material:
record:
- id: '2038'
relation: later_version
status: public
- id: '5385'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: Temporal specifications with accumulative values
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3357'
abstract:
- lang: eng
text: We consider two-player graph games whose objectives are request-response condition,
i.e conjunctions of conditions of the form "if a state with property Rq is visited,
then later a state with property Rp is visited". The winner of such games can
be decided in EXPTIME and the problem is known to be NP-hard. In this paper, we
close this gap by showing that this problem is, in fact, EXPTIME-complete. We
show that the problem becomes PSPACE-complete if we only consider games played
on DAGs, and NP-complete or PTIME-complete if there is only one player (depending
on whether he wants to enforce or spoil the request-response condition). We also
present near-optimal bounds on the memory needed to design winning strategies
for each player, in each case.
alternative_title:
- LNCS
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: Florian
full_name: Horn, Florian
id: 37327ACE-F248-11E8-B48F-1D18A9856A87
last_name: Horn
citation:
ama: 'Chatterjee K, Henzinger TA, Horn F. The complexity of request-response games.
In: Dediu A-H, Inenaga S, Martín-Vide C, eds. Vol 6638. Springer; 2011:227-237.
doi:10.1007/978-3-642-21254-3_17'
apa: 'Chatterjee, K., Henzinger, T. A., & Horn, F. (2011). The complexity of
request-response games. In A.-H. Dediu, S. Inenaga, & C. Martín-Vide (Eds.)
(Vol. 6638, pp. 227–237). Presented at the LATA: Language and Automata Theory
and Applications, Tarragona, Spain: Springer. https://doi.org/10.1007/978-3-642-21254-3_17'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Florian Horn. “The Complexity
of Request-Response Games.” edited by Adrian-Horia Dediu, Shunsuke Inenaga, and
Carlos Martín-Vide, 6638:227–37. Springer, 2011. https://doi.org/10.1007/978-3-642-21254-3_17.
ieee: 'K. Chatterjee, T. A. Henzinger, and F. Horn, “The complexity of request-response
games,” presented at the LATA: Language and Automata Theory and Applications,
Tarragona, Spain, 2011, vol. 6638, pp. 227–237.'
ista: 'Chatterjee K, Henzinger TA, Horn F. 2011. The complexity of request-response
games. LATA: Language and Automata Theory and Applications, LNCS, vol. 6638, 227–237.'
mla: Chatterjee, Krishnendu, et al. The Complexity of Request-Response Games.
Edited by Adrian-Horia Dediu et al., vol. 6638, Springer, 2011, pp. 227–37, doi:10.1007/978-3-642-21254-3_17.
short: K. Chatterjee, T.A. Henzinger, F. Horn, in:, A.-H. Dediu, S. Inenaga, C.
Martín-Vide (Eds.), Springer, 2011, pp. 227–237.
conference:
end_date: 2011-05-31
location: Tarragona, Spain
name: 'LATA: Language and Automata Theory and Applications'
start_date: 2011-05-26
date_created: 2018-12-11T12:02:52Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2021-01-12T07:42:54Z
day: '01'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-642-21254-3_17
editor:
- first_name: Adrian-Horia
full_name: Dediu, Adrian-Horia
last_name: Dediu
- first_name: Shunsuke
full_name: Inenaga, Shunsuke
last_name: Inenaga
- first_name: Carlos
full_name: Martín-Vide, Carlos
last_name: Martín-Vide
intvolume: ' 6638'
language:
- iso: eng
month: '01'
oa_version: None
page: 227 - 237
publication_status: published
publisher: Springer
publist_id: '3258'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of request-response games
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6638
year: '2011'
...
---
_id: '3361'
abstract:
- lang: eng
text: In this paper, we investigate the computational complexity of quantitative
information flow (QIF) problems. Information-theoretic quantitative relaxations
of noninterference (based on Shannon entropy)have been introduced to enable more
fine-grained reasoning about programs in situations where limited information
flow is acceptable. The QIF bounding problem asks whether the information flow
in a given program is bounded by a constant $d$. Our first result is that the
QIF bounding problem is PSPACE-complete. The QIF memoryless synthesis problem
asks whether it is possible to resolve nondeterministic choices in a given partial
program in such a way that in the resulting deterministic program, the quantitative
information flow is bounded by a given constant $d$. Our second result is that
the QIF memoryless synthesis problem is also EXPTIME-complete. The QIF memoryless
synthesis problem generalizes to QIF general synthesis problem which does not
impose the memoryless requirement (that is, by allowing the synthesized program
to have more variables then the original partial program). Our third result is
that the QIF general synthesis problem is EXPTIME-hard.
author:
- first_name: Pavol
full_name: Cerny, Pavol
id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
last_name: Cerny
- 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
citation:
ama: 'Cerny P, Chatterjee K, Henzinger TA. The complexity of quantitative information
flow problems. In: IEEE; 2011:205-217. doi:10.1109/CSF.2011.21'
apa: 'Cerny, P., Chatterjee, K., & Henzinger, T. A. (2011). The complexity of
quantitative information flow problems (pp. 205–217). Presented at the CSF: Computer
Security Foundations, Cernay-la-Ville, France: IEEE. https://doi.org/10.1109/CSF.2011.21'
chicago: Cerny, Pavol, Krishnendu Chatterjee, and Thomas A Henzinger. “The Complexity
of Quantitative Information Flow Problems,” 205–17. IEEE, 2011. https://doi.org/10.1109/CSF.2011.21.
ieee: 'P. Cerny, K. Chatterjee, and T. A. Henzinger, “The complexity of quantitative
information flow problems,” presented at the CSF: Computer Security Foundations,
Cernay-la-Ville, France, 2011, pp. 205–217.'
ista: 'Cerny P, Chatterjee K, Henzinger TA. 2011. The complexity of quantitative
information flow problems. CSF: Computer Security Foundations, 205–217.'
mla: Cerny, Pavol, et al. The Complexity of Quantitative Information Flow Problems.
IEEE, 2011, pp. 205–17, doi:10.1109/CSF.2011.21.
short: P. Cerny, K. Chatterjee, T.A. Henzinger, in:, IEEE, 2011, pp. 205–217.
conference:
end_date: 2011-06-29
location: Cernay-la-Ville, France
name: 'CSF: Computer Security Foundations'
start_date: 2011-06-27
date_created: 2018-12-11T12:02:54Z
date_published: 2011-06-27T00:00:00Z
date_updated: 2021-01-12T07:42:56Z
day: '27'
ddc:
- '000'
- '005'
department:
- _id: ToHe
- _id: KrCh
doi: 10.1109/CSF.2011.21
ec_funded: 1
file:
- access_level: open_access
checksum: 1a25be0c62459fc7640db88af08ff63a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:10:07Z
date_updated: 2020-07-14T12:46:10Z
file_id: '4792'
file_name: IST-2012-81-v1+1_The_complexity_of_quantitative_information_flow_problems.pdf
file_size: 299069
relation: main_file
file_date_updated: 2020-07-14T12:46:10Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 205 - 217
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: IEEE
publist_id: '3254'
pubrep_id: '81'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of quantitative information flow problems
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
year: '2011'
...