---
_id: '5419'
abstract:
- lang: eng
text: "We consider the reachability and shortest path problems on low tree-width
graphs, with n nodes, m edges, and tree-width t, on a standard RAM with wordsize
W. We use O to hide polynomial factors of the inverse of the Ackermann function.
Our main contributions are three fold:\r\n1. For reachability, we present an algorithm
that requires O(n·t2·log(n/t)) preprocessing time, O(n·(t·log(n/t))/W) space,
and O(t/W) time for pair queries and O((n·t)/W) time for single-source queries.
Note that for constant t our algorithm uses O(n·logn) time for preprocessing;
and O(n/W) time for single-source queries, which is faster than depth first search/breath
first search (after the preprocessing).\r\n2. We present an algorithm for shortest
path that requires O(n·t2) preprocessing time, O(n·t) space, and O(t2) time for
pair queries and O(n·t) time single-source queries.\r\n3. We give a space versus
query time trade-off algorithm for shortest path that, given any constant >0,
requires O(n·t2) preprocessing time, O(n·t2) space, and O(n1−·t2) time for pair
queries.\r\nOur algorithms improve all existing results, and use very simple data
structures."
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. Improved Algorithms for Reachability
and Shortest Path on Low Tree-Width Graphs. IST Austria; 2014. doi:10.15479/AT:IST-2014-187-v1-1
apa: Chatterjee, K., Ibsen-Jensen, R., & Pavlogiannis, A. (2014). Improved
algorithms for reachability and shortest path on low tree-width graphs. IST
Austria. https://doi.org/10.15479/AT:IST-2014-187-v1-1
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Andreas Pavlogiannis.
Improved Algorithms for Reachability and Shortest Path on Low Tree-Width Graphs.
IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-187-v1-1.
ieee: K. Chatterjee, R. Ibsen-Jensen, and A. Pavlogiannis, Improved algorithms
for reachability and shortest path on low tree-width graphs. IST Austria,
2014.
ista: Chatterjee K, Ibsen-Jensen R, Pavlogiannis A. 2014. Improved algorithms for
reachability and shortest path on low tree-width graphs, IST Austria, 34p.
mla: Chatterjee, Krishnendu, et al. Improved Algorithms for Reachability and
Shortest Path on Low Tree-Width Graphs. IST Austria, 2014, doi:10.15479/AT:IST-2014-187-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, A. Pavlogiannis, Improved Algorithms for
Reachability and Shortest Path on Low Tree-Width Graphs, IST Austria, 2014.
date_created: 2018-12-12T11:39:13Z
date_published: 2014-04-14T00:00:00Z
date_updated: 2021-01-12T08:02:03Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-187-v1-1
file:
- access_level: open_access
checksum: c608e66030a4bf51d2d99b451f539b99
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:25Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5548'
file_name: IST-2014-187-v1+1_main_full_tech.pdf
file_size: 670031
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '34'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '187'
status: public
title: Improved algorithms for reachability and shortest path on low tree-width graphs
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5418'
abstract:
- lang: eng
text: We consider multi-player graph games with partial-observation and parity objective.
While the decision problem for three-player games with a coalition of the first
and second players against the third player is undecidable, we present a decidability
result for partial-observation games where the first and third player are in a
coalition against the second player, thus where the second player is adversarial
but weaker due to partial-observation. We establish tight complexity bounds in
the case where player 1 is less informed than player 2, namely 2-EXPTIME-completeness
for parity objectives. The symmetric case of player 1 more informed than player
2 is much more complicated, and we show that already in the case where player
1 has perfect observation, memory of size non-elementary is necessary in general
for reachability objectives, and the problem is decidable for safety and reachability
objectives. Our results have tight connections with partial-observation stochastic
games for which we derive new complexity results.
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. Games with a Weak Adversary. IST Austria; 2014.
doi:10.15479/AT:IST-2014-176-v1-1
apa: Chatterjee, K., & Doyen, L. (2014). Games with a weak adversary.
IST Austria. https://doi.org/10.15479/AT:IST-2014-176-v1-1
chicago: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary.
IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-176-v1-1.
ieee: K. Chatterjee and L. Doyen, Games with a weak adversary. IST Austria,
2014.
ista: Chatterjee K, Doyen L. 2014. Games with a weak adversary, IST Austria, 18p.
mla: Chatterjee, Krishnendu, and Laurent Doyen. Games with a Weak Adversary.
IST Austria, 2014, doi:10.15479/AT:IST-2014-176-v1-1.
short: K. Chatterjee, L. Doyen, Games with a Weak Adversary, IST Austria, 2014.
date_created: 2018-12-12T11:39:13Z
date_published: 2014-03-22T00:00:00Z
date_updated: 2023-02-23T10:30:58Z
day: '22'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-176-v1-1
file:
- access_level: open_access
checksum: 1d6958aa60050e1c3e932c6e5f34c39f
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:07Z
date_updated: 2020-07-14T12:46:49Z
file_id: '5468'
file_name: IST-2014-176-v1+1_icalp_14.pdf
file_size: 328253
relation: main_file
file_date_updated: 2020-07-14T12:46:49Z
has_accepted_license: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: '18'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '176'
related_material:
record:
- id: '2163'
relation: later_version
status: public
status: public
title: Games with a weak adversary
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5420'
abstract:
- lang: eng
text: 'We consider concurrent mean-payoff games, a very well-studied class of two-player
(player 1 vs player 2) zero-sum games on finite-state graphs where every transition
is assigned a reward between 0 and 1, and the payoff function is the long-run
average of the rewards. The value is the maximal expected payoff that player 1
can guarantee against all strategies of player 2. We consider the computation
of the set of states with value 1 under finite-memory strategies for player 1,
and our main results for the problem are as follows: (1) we present a polynomial-time
algorithm; (2) we show that whenever there is a finite-memory strategy, there
is a stationary strategy that does not need memory at all; and (3) we present
an optimal bound (which is double exponential) on the patience of stationary strategies
(where patience of a distribution is the inverse of the smallest positive probability
and represents a complexity measure of a stationary strategy).'
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
citation:
ama: Chatterjee K, Ibsen-Jensen R. The Value 1 Problem for Concurrent Mean-Payoff
Games. IST Austria; 2014. doi:10.15479/AT:IST-2014-191-v1-1
apa: Chatterjee, K., & Ibsen-Jensen, R. (2014). The value 1 problem for concurrent
mean-payoff games. IST Austria. https://doi.org/10.15479/AT:IST-2014-191-v1-1
chicago: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem
for Concurrent Mean-Payoff Games. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-191-v1-1.
ieee: K. Chatterjee and R. Ibsen-Jensen, The value 1 problem for concurrent mean-payoff
games. IST Austria, 2014.
ista: Chatterjee K, Ibsen-Jensen R. 2014. The value 1 problem for concurrent mean-payoff
games, IST Austria, 49p.
mla: Chatterjee, Krishnendu, and Rasmus Ibsen-Jensen. The Value 1 Problem for
Concurrent Mean-Payoff Games. IST Austria, 2014, doi:10.15479/AT:IST-2014-191-v1-1.
short: K. Chatterjee, R. Ibsen-Jensen, The Value 1 Problem for Concurrent Mean-Payoff
Games, IST Austria, 2014.
date_created: 2018-12-12T11:39:14Z
date_published: 2014-04-14T00:00:00Z
date_updated: 2021-01-12T08:02:05Z
day: '14'
ddc:
- '000'
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-191-v1-1
file:
- access_level: open_access
checksum: 49e0fd3e62650346daf7dc04604f7a0a
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:58Z
date_updated: 2020-07-14T12:46:50Z
file_id: '5520'
file_name: IST-2014-191-v1+1_main_full.pdf
file_size: 584368
relation: main_file
file_date_updated: 2020-07-14T12:46:50Z
has_accepted_license: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: '49'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '191'
status: public
title: The value 1 problem for concurrent mean-payoff games
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5424'
abstract:
- lang: eng
text: We consider partially observable Markov decision processes (POMDPs), that
are a standard framework for robotics applications to model uncertainties present
in the real world, with temporal logic specifications. All temporal logic specifications
in linear-time temporal logic (LTL) can be expressed as parity objectives. We
study the qualitative analysis problem for POMDPs with parity objectives that
asks whether there is a controller (policy) to ensure that the objective holds
with probability 1 (almost-surely). While the qualitative analysis of POMDPs with
parity objectives is undecidable, recent results show that when restricted to
finite-memory policies the problem is EXPTIME-complete. While the problem is intractable
in theory, we present a practical approach to solve the qualitative analysis problem.
We designed several heuristics to deal with the exponential complexity, and have
used our implementation on a number of well-known POMDP examples for robotics
applications. Our results provide the first practical approach to solve the qualitative
analysis of robot motion planning with LTL properties in the presence of uncertainty.
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: Raghav
full_name: Gupta, Raghav
last_name: Gupta
- first_name: Ayush
full_name: Kanodia, Ayush
last_name: Kanodia
citation:
ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs
with Temporal Logic Specifications for Robotics Applications. IST Austria;
2014. doi:10.15479/AT:IST-2014-305-v1-1
apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative
analysis of POMDPs with temporal logic specifications for robotics applications.
IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v1-1
chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia.
Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics
Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v1-1.
ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis
of POMDPs with temporal logic specifications for robotics applications. IST
Austria, 2014.
ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of
POMDPs with temporal logic specifications for robotics applications, IST Austria,
12p.
mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal
Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v1-1.
short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of
POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria,
2014.
date_created: 2018-12-12T11:39:15Z
date_published: 2014-09-09T00:00:00Z
date_updated: 2023-02-23T12:25:52Z
day: '09'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-305-v1-1
file:
- access_level: open_access
checksum: 35009d5fad01198341e6c1a3353481b7
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:53:51Z
date_updated: 2020-07-14T12:46:51Z
file_id: '5512'
file_name: IST-2014-305-v1+1_main.pdf
file_size: 655774
relation: main_file
file_date_updated: 2020-07-14T12:46:51Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '12'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '305'
related_material:
record:
- id: '1732'
relation: later_version
status: public
- id: '5426'
relation: later_version
status: public
status: public
title: Qualitative analysis of POMDPs with temporal logic specifications for robotics
applications
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...
---
_id: '5426'
abstract:
- lang: eng
text: We consider partially observable Markov decision processes (POMDPs), that
are a standard framework for robotics applications to model uncertainties present
in the real world, with temporal logic specifications. All temporal logic specifications
in linear-time temporal logic (LTL) can be expressed as parity objectives. We
study the qualitative analysis problem for POMDPs with parity objectives that
asks whether there is a controller (policy) to ensure that the objective holds
with probability 1 (almost-surely). While the qualitative analysis of POMDPs with
parity objectives is undecidable, recent results show that when restricted to
finite-memory policies the problem is EXPTIME-complete. While the problem is intractable
in theory, we present a practical approach to solve the qualitative analysis problem.
We designed several heuristics to deal with the exponential complexity, and have
used our implementation on a number of well-known POMDP examples for robotics
applications. Our results provide the first practical approach to solve the qualitative
analysis of robot motion planning with LTL properties in the presence of uncertainty.
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: Raghav
full_name: Gupta, Raghav
last_name: Gupta
- first_name: Ayush
full_name: Kanodia, Ayush
last_name: Kanodia
citation:
ama: Chatterjee K, Chmelik M, Gupta R, Kanodia A. Qualitative Analysis of POMDPs
with Temporal Logic Specifications for Robotics Applications. IST Austria;
2014. doi:10.15479/AT:IST-2014-305-v2-1
apa: Chatterjee, K., Chmelik, M., Gupta, R., & Kanodia, A. (2014). Qualitative
analysis of POMDPs with temporal logic specifications for robotics applications.
IST Austria. https://doi.org/10.15479/AT:IST-2014-305-v2-1
chicago: Chatterjee, Krishnendu, Martin Chmelik, Raghav Gupta, and Ayush Kanodia.
Qualitative Analysis of POMDPs with Temporal Logic Specifications for Robotics
Applications. IST Austria, 2014. https://doi.org/10.15479/AT:IST-2014-305-v2-1.
ieee: K. Chatterjee, M. Chmelik, R. Gupta, and A. Kanodia, Qualitative analysis
of POMDPs with temporal logic specifications for robotics applications. IST
Austria, 2014.
ista: Chatterjee K, Chmelik M, Gupta R, Kanodia A. 2014. Qualitative analysis of
POMDPs with temporal logic specifications for robotics applications, IST Austria,
10p.
mla: Chatterjee, Krishnendu, et al. Qualitative Analysis of POMDPs with Temporal
Logic Specifications for Robotics Applications. IST Austria, 2014, doi:10.15479/AT:IST-2014-305-v2-1.
short: K. Chatterjee, M. Chmelik, R. Gupta, A. Kanodia, Qualitative Analysis of
POMDPs with Temporal Logic Specifications for Robotics Applications, IST Austria,
2014.
date_created: 2018-12-12T11:39:16Z
date_published: 2014-09-29T00:00:00Z
date_updated: 2023-02-23T12:25:47Z
day: '29'
ddc:
- '005'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2014-305-v2-1
file:
- access_level: open_access
checksum: 730c0a8e97cf2712a884b2cc423f3919
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:15Z
date_updated: 2020-07-14T12:46:51Z
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file_name: IST-2014-305-v2+1_main2.pdf
file_size: 656019
relation: main_file
file_date_updated: 2020-07-14T12:46:51Z
has_accepted_license: '1'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '10'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '311'
related_material:
record:
- id: '1732'
relation: later_version
status: public
- id: '5424'
relation: earlier_version
status: public
status: public
title: Qualitative analysis of POMDPs with temporal logic specifications for robotics
applications
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2014'
...