---
_id: '512'
abstract:
- lang: eng
text: 'The fixation probability is the probability that a new mutant introduced
in a homogeneous population eventually takes over the entire population. The fixation
probability is a fundamental quantity of natural selection, and known to depend
on the population structure. Amplifiers of natural selection are population structures
which increase the fixation probability of advantageous mutants, as compared to
the baseline case of well-mixed populations. In this work we focus on symmetric
population structures represented as undirected graphs. In the regime of undirected
graphs, the strongest amplifier known has been the Star graph, and the existence
of undirected graphs with stronger amplification properties has remained open
for over a decade. In this work we present the Comet and Comet-swarm families
of undirected graphs. We show that for a range of fitness values of the mutants,
the Comet and Cometswarm graphs have fixation probability strictly larger than
the fixation probability of the Star graph, for fixed population size and at the
limit of large populations, respectively. '
article_number: '82'
article_processing_charge: No
author:
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Josef
full_name: Tkadlec, Josef
id: 3F24CCC8-F248-11E8-B48F-1D18A9856A87
last_name: Tkadlec
orcid: 0000-0002-1097-9684
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. Amplification on undirected
population structures: Comets beat stars. Scientific Reports. 2017;7(1).
doi:10.1038/s41598-017-00107-w'
apa: 'Pavlogiannis, A., Tkadlec, J., Chatterjee, K., & Nowak, M. (2017). Amplification
on undirected population structures: Comets beat stars. Scientific Reports.
Nature Publishing Group. https://doi.org/10.1038/s41598-017-00107-w'
chicago: 'Pavlogiannis, Andreas, Josef Tkadlec, Krishnendu Chatterjee, and Martin
Nowak. “Amplification on Undirected Population Structures: Comets Beat Stars.”
Scientific Reports. Nature Publishing Group, 2017. https://doi.org/10.1038/s41598-017-00107-w.'
ieee: 'A. Pavlogiannis, J. Tkadlec, K. Chatterjee, and M. Nowak, “Amplification
on undirected population structures: Comets beat stars,” Scientific Reports,
vol. 7, no. 1. Nature Publishing Group, 2017.'
ista: 'Pavlogiannis A, Tkadlec J, Chatterjee K, Nowak M. 2017. Amplification on
undirected population structures: Comets beat stars. Scientific Reports. 7(1),
82.'
mla: 'Pavlogiannis, Andreas, et al. “Amplification on Undirected Population Structures:
Comets Beat Stars.” Scientific Reports, vol. 7, no. 1, 82, Nature Publishing
Group, 2017, doi:10.1038/s41598-017-00107-w.'
short: A. Pavlogiannis, J. Tkadlec, K. Chatterjee, M. Nowak, Scientific Reports
7 (2017).
date_created: 2018-12-11T11:46:53Z
date_published: 2017-03-06T00:00:00Z
date_updated: 2023-02-23T12:26:57Z
day: '06'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.1038/s41598-017-00107-w
ec_funded: 1
file:
- access_level: open_access
checksum: 7d05cbdd914e194a019c0f91fb64e9a8
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:35Z
date_updated: 2020-07-14T12:46:36Z
file_id: '5357'
file_name: IST-2018-938-v1+1_2017_Pavlogiannis_Amplification_on.pdf
file_size: 1536783
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file_date_updated: 2020-07-14T12:46:36Z
has_accepted_license: '1'
intvolume: ' 7'
issue: '1'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Scientific Reports
publication_identifier:
issn:
- '20452322'
publication_status: published
publisher: Nature Publishing Group
publist_id: '7307'
pubrep_id: '938'
quality_controlled: '1'
related_material:
record:
- id: '5449'
relation: earlier_version
status: public
scopus_import: 1
status: public
title: 'Amplification on undirected population structures: Comets beat stars'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2017'
...
---
_id: '10416'
abstract:
- lang: eng
text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
reachability. The input is a graph where the edges are labeled with different
types of opening and closing parentheses, and the reachability information is
computed via paths whose parentheses are properly matched. We present new results
for Dyck reachability problems with applications to alias analysis and data-dependence
analysis. Our main contributions, that include improved upper bounds as well as
lower bounds that establish optimality guarantees, are as follows: First, we consider
Dyck reachability on bidirected graphs, which is the standard way of performing
field-sensitive points-to analysis. Given a bidirected graph with n nodes and
m edges, we present: (i) an algorithm with worst-case running time O(m + n · α(n)),
where α(n) is the inverse Ackermann function, improving the previously known O(n2)
time bound; (ii) a matching lower bound that shows that our algorithm is optimal
wrt to worst-case complexity; and (iii) an optimal average-case upper bound of
O(m) time, improving the previously known O(m · logn) bound. Second, we consider
the problem of context-sensitive data-dependence analysis, where the task is to
obtain analysis summaries of library code in the presence of callbacks. Our algorithm
preprocesses libraries in almost linear time, after which the contribution of
the library in the complexity of the client analysis is only linear, and only
wrt the number of call sites. Third, we prove that combinatorial algorithms for
Dyck reachability on general graphs with truly sub-cubic bounds cannot be obtained
without obtaining sub-cubic combinatorial algorithms for Boolean Matrix Multiplication,
which is a long-standing open problem. Thus we establish that the existing combinatorial
algorithms for Dyck reachability are (conditionally) optimal for general graphs.
We also show that the same hardness holds for graphs of constant treewidth. Finally,
we provide a prototype implementation of our algorithms for both alias analysis
and data-dependence analysis. Our experimental evaluation demonstrates that the
new algorithms significantly outperform all existing methods on the two problems,
over real-world benchmarks.'
acknowledgement: "The research was partly supported by Austrian Science Fund (FWF)
Grant No P23499-N23, FWF NFN Grant No S11407-N23 (RiSE/SHiNE), and ERC Start grant
(279307: Graph Games).\r\n"
article_number: '30'
article_processing_charge: No
article_type: original
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Bhavya
full_name: Choudhary, Bhavya
last_name: Choudhary
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Choudhary B, Pavlogiannis A. Optimal Dyck reachability for data-dependence
and Alias analysis. Proceedings of the ACM on Programming Languages. 2017;2(POPL).
doi:10.1145/3158118
apa: 'Chatterjee, K., Choudhary, B., & Pavlogiannis, A. (2017). Optimal Dyck
reachability for data-dependence and Alias analysis. Proceedings of the ACM
on Programming Languages. Los Angeles, CA, United States: Association for
Computing Machinery. https://doi.org/10.1145/3158118'
chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. “Optimal
Dyck Reachability for Data-Dependence and Alias Analysis.” Proceedings of the
ACM on Programming Languages. Association for Computing Machinery, 2017. https://doi.org/10.1145/3158118.
ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, “Optimal Dyck reachability
for data-dependence and Alias analysis,” Proceedings of the ACM on Programming
Languages, vol. 2, no. POPL. Association for Computing Machinery, 2017.
ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
for data-dependence and Alias analysis. Proceedings of the ACM on Programming
Languages. 2(POPL), 30.
mla: Chatterjee, Krishnendu, et al. “Optimal Dyck Reachability for Data-Dependence
and Alias Analysis.” Proceedings of the ACM on Programming Languages, vol.
2, no. POPL, 30, Association for Computing Machinery, 2017, doi:10.1145/3158118.
short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Proceedings of the ACM on Programming
Languages 2 (2017).
conference:
end_date: 2018-01-13
location: Los Angeles, CA, United States
name: 'POPL: Programming Languages'
start_date: 2018-01-07
date_created: 2021-12-05T23:01:48Z
date_published: 2017-12-27T00:00:00Z
date_updated: 2023-02-23T12:27:13Z
day: '27'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.1145/3158118
ec_funded: 1
external_id:
arxiv:
- '1910.00241'
file:
- access_level: open_access
checksum: faa3f7b3fe8aab84b50ed805c26a0ee5
content_type: application/pdf
creator: cchlebak
date_created: 2021-12-07T08:06:28Z
date_updated: 2021-12-07T08:06:28Z
file_id: '10421'
file_name: 2017_ACMProgLang_Chatterjee.pdf
file_size: 460188
relation: main_file
success: 1
file_date_updated: 2021-12-07T08:06:28Z
has_accepted_license: '1'
intvolume: ' 2'
issue: POPL
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _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
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '5455'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Optimal Dyck reachability for data-dependence and Alias analysis
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 2
year: '2017'
...
---
_id: '5455'
abstract:
- lang: eng
text: 'A fundamental algorithmic problem at the heart of static analysis is Dyck
reachability. The input is a graphwhere the edges are labeled with different types
of opening and closing parentheses, and the reachabilityinformation is computed
via paths whose parentheses are properly matched. We present new results for Dyckreachability
problems with applications to alias analysis and data-dependence analysis. Our
main contributions,that include improved upper bounds as well as lower bounds
that establish optimality guarantees, are asfollows:First, we consider Dyck reachability
on bidirected graphs, which is the standard way of performing field-sensitive
points-to analysis. Given a bidirected graph withnnodes andmedges, we present:
(i) an algorithmwith worst-case running timeO(m+n·α(n)), whereα(n)is the inverse
Ackermann function, improving thepreviously knownO(n2)time bound; (ii) a matching
lower bound that shows that our algorithm is optimalwrt to worst-case complexity;
and (iii) an optimal average-case upper bound ofO(m)time, improving thepreviously
knownO(m·logn)bound.Second, we consider the problem of context-sensitive data-dependence
analysis, where the task is to obtainanalysis summaries of library code in the
presence of callbacks. Our algorithm preprocesses libraries in almostlinear time,
after which the contribution of the library in the complexity of the client analysis
is only linear,and only wrt the number of call sites.Third, we prove that combinatorial
algorithms for Dyck reachability on general graphs with truly sub-cubic bounds
cannot be obtained without obtaining sub-cubic combinatorial algorithms for Boolean
MatrixMultiplication, which is a long-standing open problem. Thus we establish
that the existing combinatorialalgorithms for Dyck reachability are (conditionally)
optimal for general graphs. We also show that the samehardness holds for graphs
of constant treewidth.Finally, we provide a prototype implementation of our algorithms
for both alias analysis and data-dependenceanalysis. Our experimental evaluation
demonstrates that the new algorithms significantly outperform allexisting methods
on the two problems, over real-world benchmarks.'
alternative_title:
- IST Austria Technical Report
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Bhavya
full_name: Choudhary, Bhavya
last_name: Choudhary
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
citation:
ama: Chatterjee K, Choudhary B, Pavlogiannis A. Optimal Dyck Reachability for
Data-Dependence and Alias Analysis. IST Austria; 2017. doi:10.15479/AT:IST-2017-870-v1-1
apa: Chatterjee, K., Choudhary, B., & Pavlogiannis, A. (2017). Optimal Dyck
reachability for data-dependence and alias analysis. IST Austria. https://doi.org/10.15479/AT:IST-2017-870-v1-1
chicago: Chatterjee, Krishnendu, Bhavya Choudhary, and Andreas Pavlogiannis. Optimal
Dyck Reachability for Data-Dependence and Alias Analysis. IST Austria, 2017.
https://doi.org/10.15479/AT:IST-2017-870-v1-1.
ieee: K. Chatterjee, B. Choudhary, and A. Pavlogiannis, Optimal Dyck reachability
for data-dependence and alias analysis. IST Austria, 2017.
ista: Chatterjee K, Choudhary B, Pavlogiannis A. 2017. Optimal Dyck reachability
for data-dependence and alias analysis, IST Austria, 37p.
mla: Chatterjee, Krishnendu, et al. Optimal Dyck Reachability for Data-Dependence
and Alias Analysis. IST Austria, 2017, doi:10.15479/AT:IST-2017-870-v1-1.
short: K. Chatterjee, B. Choudhary, A. Pavlogiannis, Optimal Dyck Reachability for
Data-Dependence and Alias Analysis, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2023-02-21T15:54:10Z
day: '23'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.15479/AT:IST-2017-870-v1-1
file:
- access_level: open_access
checksum: 177a84a46e3ac17e87b31534ad16a4c9
content_type: application/pdf
creator: system
date_created: 2018-12-12T11:54:02Z
date_updated: 2020-07-14T12:46:59Z
file_id: '5524'
file_name: IST-2017-870-v1+1_main.pdf
file_size: 960491
relation: main_file
file_date_updated: 2020-07-14T12:46:59Z
has_accepted_license: '1'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: '37'
publication_identifier:
issn:
- 2664-1690
publication_status: published
publisher: IST Austria
pubrep_id: '870'
related_material:
record:
- id: '10416'
relation: later_version
status: public
status: public
title: Optimal Dyck reachability for data-dependence and alias analysis
type: technical_report
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2017'
...
---
_id: '10417'
abstract:
- lang: eng
text: "We present a new dynamic partial-order reduction method for stateless model
checking of concurrent programs. A common approach for exploring program behaviors
relies on enumerating the traces of the program, without storing the visited states
(aka stateless exploration). As the number of distinct traces grows exponentially,
dynamic partial-order reduction (DPOR) techniques have been successfully used
to partition the space of traces into equivalence classes (Mazurkiewicz partitioning),
with the goal of exploring only few representative traces from each class.\r\n\r\nWe
introduce a new equivalence on traces under sequential consistency semantics,
which we call the observation equivalence. Two traces are observationally equivalent
if every read event observes the same write event in both traces. While the traditional
Mazurkiewicz equivalence is control-centric, our new definition is data-centric.
We show that our observation equivalence is coarser than the Mazurkiewicz equivalence,
and in many cases even exponentially coarser. We devise a DPOR exploration of
the trace space, called data-centric DPOR, based on the observation equivalence."
acknowledgement: "The research was partly supported by Austrian Science Fund (FWF)
Grant No P23499- N23, FWF\r\nNFN Grant No S11407-N23 (RiSE/SHiNE), ERC Start grant
(279307: Graph Games), and Czech\r\nScience Foundation grant GBP202/12/G061."
article_number: '31'
article_processing_charge: No
article_type: original
author:
- first_name: Marek
full_name: Chalupa, Marek
last_name: Chalupa
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Nishant
full_name: Sinha, Nishant
last_name: Sinha
- first_name: Kapil
full_name: Vaidya, Kapil
last_name: Vaidya
citation:
ama: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. Data-centric dynamic
partial order reduction. Proceedings of the ACM on Programming Languages.
2017;2(POPL). doi:10.1145/3158119
apa: 'Chalupa, M., Chatterjee, K., Pavlogiannis, A., Sinha, N., & Vaidya, K.
(2017). Data-centric dynamic partial order reduction. Proceedings of the ACM
on Programming Languages. Los Angeles, CA, United States: Association for
Computing Machinery. https://doi.org/10.1145/3158119'
chicago: Chalupa, Marek, Krishnendu Chatterjee, Andreas Pavlogiannis, Nishant Sinha,
and Kapil Vaidya. “Data-Centric Dynamic Partial Order Reduction.” Proceedings
of the ACM on Programming Languages. Association for Computing Machinery,
2017. https://doi.org/10.1145/3158119.
ieee: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, and K. Vaidya, “Data-centric
dynamic partial order reduction,” Proceedings of the ACM on Programming Languages,
vol. 2, no. POPL. Association for Computing Machinery, 2017.
ista: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. 2017. Data-centric
dynamic partial order reduction. Proceedings of the ACM on Programming Languages.
2(POPL), 31.
mla: Chalupa, Marek, et al. “Data-Centric Dynamic Partial Order Reduction.” Proceedings
of the ACM on Programming Languages, vol. 2, no. POPL, 31, Association for
Computing Machinery, 2017, doi:10.1145/3158119.
short: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, K. Vaidya, Proceedings
of the ACM on Programming Languages 2 (2017).
conference:
end_date: 2018-01-13
location: Los Angeles, CA, United States
name: 'POPL: Programming Languages'
start_date: 2018-01-07
date_created: 2021-12-05T23:01:49Z
date_published: 2017-12-27T00:00:00Z
date_updated: 2023-02-23T12:27:16Z
day: '27'
department:
- _id: KrCh
doi: 10.1145/3158119
ec_funded: 1
external_id:
arxiv:
- '1610.01188'
intvolume: ' 2'
issue: POPL
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://dl.acm.org/doi/10.1145/3158119
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Proceedings of the ACM on Programming Languages
publication_identifier:
eissn:
- 2475-1421
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '5448'
relation: earlier_version
status: public
- id: '5456'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Data-centric dynamic partial order reduction
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 2
year: '2017'
...
---
_id: '5456'
abstract:
- lang: eng
text: "We present a new dynamic partial-order reduction method for stateless model
checking of concurrent programs. A common approach for exploring program behaviors
relies on enumerating the traces of the program, without storing the visited states
(aka stateless exploration). As the number of distinct traces grows exponentially,
dynamic partial-order reduction (DPOR) techniques have been successfully used
to partition the space of traces into equivalence classes (Mazurkiewicz partitioning),
with the goal of exploring only few representative traces from each class.\r\nWe
introduce a new equivalence on traces under sequential consistency semantics,
which we call the observation equivalence. Two traces are observationally equivalent
if every read event observes the same write event in both traces. While the traditional
Mazurkiewicz equivalence is control-centric, our new definition is data-centric.
We show that our observation equivalence is coarser than the Mazurkiewicz equivalence,
and in many cases even exponentially coarser. We devise a DPOR exploration of
the trace space, called data-centric DPOR, based on the observation equivalence.\r\n1.
For acyclic architectures, our algorithm is guaranteed to explore exactly one
representative trace from each observation class, while spending polynomial time
per class. Hence, our algorithm is optimal wrt the observation equivalence, and
in several cases explores exponentially fewer traces than any enumerative method
based on the Mazurkiewicz equivalence.\r\n2. For cyclic architectures, we consider
an equivalence between traces which is finer than the observation equivalence;
but coarser than the Mazurkiewicz equivalence, and in some cases is exponentially
coarser. Our data-centric DPOR algorithm remains optimal under this trace equivalence.
\r\nFinally, we perform a basic experimental comparison between the existing Mazurkiewicz-based
DPOR and our data-centric DPOR on a set of academic benchmarks. Our results show
a significant reduction in both running time and the number of explored equivalence
classes."
alternative_title:
- IST Austria Technical Report
author:
- first_name: Marek
full_name: Chalupa, Marek
last_name: Chalupa
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Andreas
full_name: Pavlogiannis, Andreas
id: 49704004-F248-11E8-B48F-1D18A9856A87
last_name: Pavlogiannis
orcid: 0000-0002-8943-0722
- first_name: Nishant
full_name: Sinha, Nishant
last_name: Sinha
- first_name: Kapil
full_name: Vaidya, Kapil
last_name: Vaidya
citation:
ama: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. Data-Centric
Dynamic Partial Order Reduction. IST Austria; 2017. doi:10.15479/AT:IST-2017-872-v1-1
apa: Chalupa, M., Chatterjee, K., Pavlogiannis, A., Sinha, N., & Vaidya, K.
(2017). Data-centric dynamic partial order reduction. IST Austria. https://doi.org/10.15479/AT:IST-2017-872-v1-1
chicago: Chalupa, Marek, Krishnendu Chatterjee, Andreas Pavlogiannis, Nishant Sinha,
and Kapil Vaidya. Data-Centric Dynamic Partial Order Reduction. IST Austria,
2017. https://doi.org/10.15479/AT:IST-2017-872-v1-1.
ieee: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, and K. Vaidya, Data-centric
dynamic partial order reduction. IST Austria, 2017.
ista: Chalupa M, Chatterjee K, Pavlogiannis A, Sinha N, Vaidya K. 2017. Data-centric
dynamic partial order reduction, IST Austria, 36p.
mla: Chalupa, Marek, et al. Data-Centric Dynamic Partial Order Reduction.
IST Austria, 2017, doi:10.15479/AT:IST-2017-872-v1-1.
short: M. Chalupa, K. Chatterjee, A. Pavlogiannis, N. Sinha, K. Vaidya, Data-Centric
Dynamic Partial Order Reduction, IST Austria, 2017.
date_created: 2018-12-12T11:39:26Z
date_published: 2017-10-23T00:00:00Z
date_updated: 2023-02-23T12:26:54Z
day: '23'
ddc:
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doi: 10.15479/AT:IST-2017-872-v1-1
file:
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publication_status: published
publisher: IST Austria
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status: public
title: Data-centric dynamic partial order reduction
type: technical_report
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2017'
...
---
_id: '551'
abstract:
- lang: eng
text: 'Evolutionary graph theory studies the evolutionary dynamics in a population
structure given as a connected graph. Each node of the graph represents an individual
of the population, and edges determine how offspring are placed. We consider the
classical birth-death Moran process where there are two types of individuals,
namely, the residents with fitness 1 and mutants with fitness r. The fitness indicates
the reproductive strength. The evolutionary dynamics happens as follows: in the
initial step, in a population of all resident individuals a mutant is introduced,
and then at each step, an individual is chosen proportional to the fitness of
its type to reproduce, and the offspring replaces a neighbor uniformly at random.
The process stops when all individuals are either residents or mutants. The probability
that all individuals in the end are mutants is called the fixation probability,
which is a key factor in the rate of evolution. We consider the problem of approximating
the fixation probability. The class of algorithms that is extremely relevant for
approximation of the fixation probabilities is the Monte-Carlo simulation of the
process. Previous results present a polynomial-time Monte-Carlo algorithm for
undirected graphs when r is given in unary. First, we present a simple modification:
instead of simulating each step, we discard ineffective steps, where no node changes
type (i.e., either residents replace residents, or mutants replace mutants). Using
the above simple modification and our result that the number of effective steps
is concentrated around the expected number of effective steps, we present faster
polynomial-time Monte-Carlo algorithms for undirected graphs. Our algorithms are
always at least a factor O(n2/ log n) faster as compared to the previous algorithms,
where n is the number of nodes, and is polynomial even if r is given in binary.
We also present lower bounds showing that the upper bound on the expected number
of effective steps we present is asymptotically tight for undirected graphs. '
alternative_title:
- LIPIcs
article_number: '61'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
- first_name: Martin
full_name: Nowak, Martin
last_name: Nowak
citation:
ama: 'Chatterjee K, Ibsen-Jensen R, Nowak M. Faster Monte Carlo algorithms for fixation
probability of the Moran process on undirected graphs. In: Leibniz International
Proceedings in Informatics. Vol 83. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.61'
apa: 'Chatterjee, K., Ibsen-Jensen, R., & Nowak, M. (2017). Faster Monte Carlo
algorithms for fixation probability of the Moran process on undirected graphs.
In Leibniz International Proceedings in Informatics (Vol. 83). Aalborg,
Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2017.61'
chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, and Martin Nowak. “Faster
Monte Carlo Algorithms for Fixation Probability of the Moran Process on Undirected
Graphs.” In Leibniz International Proceedings in Informatics, Vol. 83.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.61.
ieee: K. Chatterjee, R. Ibsen-Jensen, and M. Nowak, “Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs,” in Leibniz
International Proceedings in Informatics, Aalborg, Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Ibsen-Jensen R, Nowak M. 2017. Faster Monte Carlo algorithms
for fixation probability of the Moran process on undirected graphs. Leibniz International
Proceedings in Informatics. MFCS: Mathematical Foundations of Computer Science
(SG), LIPIcs, vol. 83, 61.'
mla: Chatterjee, Krishnendu, et al. “Faster Monte Carlo Algorithms for Fixation
Probability of the Moran Process on Undirected Graphs.” Leibniz International
Proceedings in Informatics, vol. 83, 61, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.61.
short: K. Chatterjee, R. Ibsen-Jensen, M. Nowak, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:34Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.61
file:
- access_level: open_access
checksum: 2eed5224c0e4e259484a1d71acb8ba6a
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:04Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5322'
file_name: IST-2018-924-v1+1_LIPIcs-MFCS-2017-61.pdf
file_size: 535077
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7263'
pubrep_id: '924'
quality_controlled: '1'
scopus_import: 1
status: public
title: Faster Monte Carlo algorithms for fixation probability of the Moran process
on undirected graphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '552'
abstract:
- lang: eng
text: 'Graph games provide the foundation for modeling and synthesis of reactive
processes. Such games are played over graphs where the vertices are controlled
by two adversarial players. We consider graph games where the objective of the
first player is the conjunction of a qualitative objective (specified as a parity
condition) and a quantitative objective (specified as a meanpayoff condition).
There are two variants of the problem, namely, the threshold problem where the
quantitative goal is to ensure that the mean-payoff value is above a threshold,
and the value problem where the quantitative goal is to ensure the optimal mean-payoff
value; in both cases ensuring the qualitative parity objective. The previous best-known
algorithms for game graphs with n vertices, m edges, parity objectives with d
priorities, and maximal absolute reward value W for mean-payoff objectives, are
as follows: O(nd+1 . m . w) for the threshold problem, and O(nd+2 · m · W) for
the value problem. Our main contributions are faster algorithms, and the running
times of our algorithms are as follows: O(nd-1 · m ·W) for the threshold problem,
and O(nd · m · W · log(n · W)) for the value problem. For mean-payoff parity objectives
with two priorities, our algorithms match the best-known bounds of the algorithms
for mean-payoff games (without conjunction with parity objectives). Our results
are relevant in synthesis of reactive systems with both functional requirement
(given as a qualitative objective) and performance requirement (given as a quantitative
objective).'
alternative_title:
- LIPIcs
article_number: '39'
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Alexander
full_name: Svozil, Alexander
last_name: Svozil
citation:
ama: 'Chatterjee K, Henzinger MH, Svozil A. Faster algorithms for mean-payoff parity
games. In: Leibniz International Proceedings in Informatics. Vol 83. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.39'
apa: 'Chatterjee, K., Henzinger, M. H., & Svozil, A. (2017). Faster algorithms
for mean-payoff parity games. In Leibniz International Proceedings in Informatics
(Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2017.39'
chicago: Chatterjee, Krishnendu, Monika H Henzinger, and Alexander Svozil. “Faster
Algorithms for Mean-Payoff Parity Games.” In Leibniz International Proceedings
in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.39.
ieee: K. Chatterjee, M. H. Henzinger, and A. Svozil, “Faster algorithms for mean-payoff
parity games,” in Leibniz International Proceedings in Informatics, Aalborg,
Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Henzinger MH, Svozil A. 2017. Faster algorithms for mean-payoff
parity games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
Foundations of Computer Science (SG), LIPIcs, vol. 83, 39.'
mla: Chatterjee, Krishnendu, et al. “Faster Algorithms for Mean-Payoff Parity Games.”
Leibniz International Proceedings in Informatics, vol. 83, 39, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.39.
short: K. Chatterjee, M.H. Henzinger, A. Svozil, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2023-02-14T10:06:46Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.39
ec_funded: 1
file:
- access_level: open_access
checksum: c67f4866ddbfd555afef1f63ae9a8fc7
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:57Z
date_updated: 2020-07-14T12:47:00Z
file_id: '5248'
file_name: IST-2018-923-v1+1_LIPIcs-MFCS-2017-39.pdf
file_size: 610339
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7262'
pubrep_id: '923'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster algorithms for mean-payoff parity games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '553'
abstract:
- lang: eng
text: 'We consider two player, zero-sum, finite-state concurrent reachability games,
played for an infinite number of rounds, where in every round, each player simultaneously
and independently of the other players chooses an action, whereafter the successor
state is determined by a probability distribution given by the current state and
the chosen actions. Player 1 wins iff a designated goal state is eventually visited.
We are interested in the complexity of stationary strategies measured by their
patience, which is defined as the inverse of the smallest non-zero probability
employed. Our main results are as follows: We show that: (i) the optimal bound
on the patience of optimal and -optimal strategies, for both players is doubly
exponential; and (ii) even in games with a single non-absorbing state exponential
(in the number of actions) patience is necessary. '
alternative_title:
- LIPIcs
article_number: '55'
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Kristofer
full_name: Hansen, Kristofer
last_name: Hansen
- first_name: Rasmus
full_name: Ibsen-Jensen, Rasmus
id: 3B699956-F248-11E8-B48F-1D18A9856A87
last_name: Ibsen-Jensen
orcid: 0000-0003-4783-0389
citation:
ama: 'Chatterjee K, Hansen K, Ibsen-Jensen R. Strategy complexity of concurrent
safety games. In: Leibniz International Proceedings in Informatics. Vol
83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.MFCS.2017.55'
apa: 'Chatterjee, K., Hansen, K., & Ibsen-Jensen, R. (2017). Strategy complexity
of concurrent safety games. In Leibniz International Proceedings in Informatics
(Vol. 83). Aalborg, Denmark: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2017.55'
chicago: Chatterjee, Krishnendu, Kristofer Hansen, and Rasmus Ibsen-Jensen. “Strategy
Complexity of Concurrent Safety Games.” In Leibniz International Proceedings
in Informatics, Vol. 83. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2017. https://doi.org/10.4230/LIPIcs.MFCS.2017.55.
ieee: K. Chatterjee, K. Hansen, and R. Ibsen-Jensen, “Strategy complexity of concurrent
safety games,” in Leibniz International Proceedings in Informatics, Aalborg,
Denmark, 2017, vol. 83.
ista: 'Chatterjee K, Hansen K, Ibsen-Jensen R. 2017. Strategy complexity of concurrent
safety games. Leibniz International Proceedings in Informatics. MFCS: Mathematical
Foundations of Computer Science (SG), LIPIcs, vol. 83, 55.'
mla: Chatterjee, Krishnendu, et al. “Strategy Complexity of Concurrent Safety Games.”
Leibniz International Proceedings in Informatics, vol. 83, 55, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.MFCS.2017.55.
short: K. Chatterjee, K. Hansen, R. Ibsen-Jensen, in:, Leibniz International Proceedings
in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-08-25
location: Aalborg, Denmark
name: 'MFCS: Mathematical Foundations of Computer Science (SG)'
start_date: 2017-08-21
date_created: 2018-12-11T11:47:08Z
date_published: 2017-11-01T00:00:00Z
date_updated: 2021-01-12T08:02:35Z
day: '01'
ddc:
- '004'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2017.55
file:
- access_level: open_access
checksum: 7101facb56ade363205c695d72dbd173
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:09:29Z
date_updated: 2020-07-14T12:47:00Z
file_id: '4753'
file_name: IST-2018-922-v1+1_LIPIcs-MFCS-2017-55.pdf
file_size: 549967
relation: main_file
file_date_updated: 2020-07-14T12:47:00Z
has_accepted_license: '1'
intvolume: ' 83'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1506.02434
month: '11'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- 978-395977046-0
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7261'
pubrep_id: '922'
quality_controlled: '1'
scopus_import: 1
status: public
title: Strategy complexity of concurrent safety games
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 83
year: '2017'
...
---
_id: '625'
abstract:
- lang: eng
text: In the analysis of reactive systems a quantitative objective assigns a real
value to every trace of the system. The value decision problem for a quantitative
objective requires a trace whose value is at least a given threshold, and the
exact value decision problem requires a trace whose value is exactly the threshold.
We compare the computational complexity of the value and exact value decision
problems for classical quantitative objectives, such as sum, discounted sum, energy,
and mean-payoff for two standard models of reactive systems, namely, graphs and
graph games.
acknowledgement: 'This research was supported in part by the Austrian Science Fund
(FWF) under grants S11402-N23 and S11407-N23 (RiSE/SHiNE), and Z211-N23 (Wittgenstein
Award), ERC Start grant (279307: Graph Games), Vienna Science and Technology Fund
(WWTF) through project ICT15-003.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Laurent
full_name: Doyen, Laurent
last_name: Doyen
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
citation:
ama: 'Chatterjee K, Doyen L, Henzinger TA. The cost of exactness in quantitative
reachability. In: Aceto L, Bacci G, Ingólfsdóttir A, Legay A, Mardare R, eds.
Models, Algorithms, Logics and Tools. Vol 10460. Theoretical Computer Science
and General Issues. Springer; 2017:367-381. doi:10.1007/978-3-319-63121-9_18'
apa: Chatterjee, K., Doyen, L., & Henzinger, T. A. (2017). The cost of exactness
in quantitative reachability. In L. Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay,
& R. Mardare (Eds.), Models, Algorithms, Logics and Tools (Vol. 10460,
pp. 367–381). Springer. https://doi.org/10.1007/978-3-319-63121-9_18
chicago: Chatterjee, Krishnendu, Laurent Doyen, and Thomas A Henzinger. “The Cost
of Exactness in Quantitative Reachability.” In Models, Algorithms, Logics and
Tools, edited by Luca Aceto, Giorgio Bacci, Anna Ingólfsdóttir, Axel Legay,
and Radu Mardare, 10460:367–81. Theoretical Computer Science and General Issues.
Springer, 2017. https://doi.org/10.1007/978-3-319-63121-9_18.
ieee: K. Chatterjee, L. Doyen, and T. A. Henzinger, “The cost of exactness in quantitative
reachability,” in Models, Algorithms, Logics and Tools, vol. 10460, L.
Aceto, G. Bacci, A. Ingólfsdóttir, A. Legay, and R. Mardare, Eds. Springer, 2017,
pp. 367–381.
ista: 'Chatterjee K, Doyen L, Henzinger TA. 2017.The cost of exactness in quantitative
reachability. In: Models, Algorithms, Logics and Tools. LNCS, vol. 10460, 367–381.'
mla: Chatterjee, Krishnendu, et al. “The Cost of Exactness in Quantitative Reachability.”
Models, Algorithms, Logics and Tools, edited by Luca Aceto et al., vol.
10460, Springer, 2017, pp. 367–81, doi:10.1007/978-3-319-63121-9_18.
short: K. Chatterjee, L. Doyen, T.A. Henzinger, in:, L. Aceto, G. Bacci, A. Ingólfsdóttir,
A. Legay, R. Mardare (Eds.), Models, Algorithms, Logics and Tools, Springer, 2017,
pp. 367–381.
date_created: 2018-12-11T11:47:34Z
date_published: 2017-07-25T00:00:00Z
date_updated: 2022-05-23T08:54:02Z
day: '25'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1007/978-3-319-63121-9_18
ec_funded: 1
editor:
- first_name: Luca
full_name: Aceto, Luca
last_name: Aceto
- first_name: Giorgio
full_name: Bacci, Giorgio
last_name: Bacci
- first_name: Anna
full_name: Ingólfsdóttir, Anna
last_name: Ingólfsdóttir
- first_name: Axel
full_name: Legay, Axel
last_name: Legay
- first_name: Radu
full_name: Mardare, Radu
last_name: Mardare
file:
- access_level: open_access
checksum: b2402766ec02c79801aac634bd8f9f6c
content_type: application/pdf
creator: dernst
date_created: 2019-11-19T08:06:50Z
date_updated: 2020-07-14T12:47:25Z
file_id: '7048'
file_name: 2017_ModelsAlgorithms_Chatterjee.pdf
file_size: 192826
relation: main_file
file_date_updated: 2020-07-14T12:47:25Z
has_accepted_license: '1'
intvolume: ' 10460'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 367 - 381
project:
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
publication: Models, Algorithms, Logics and Tools
publication_identifier:
isbn:
- 978-3-319-63120-2
issn:
- 0302-9743
publication_status: published
publisher: Springer
publist_id: '7170'
quality_controlled: '1'
scopus_import: '1'
series_title: Theoretical Computer Science and General Issues
status: public
title: The cost of exactness in quantitative reachability
type: book_chapter
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10460
year: '2017'
...
---
_id: '628'
abstract:
- lang: eng
text: We consider the problem of developing automated techniques for solving recurrence
relations to aid the expected-runtime analysis of programs. The motivation is
that several classical textbook algorithms have quite efficient expected-runtime
complexity, whereas the corresponding worst-case bounds are either inefficient
(e.g., Quick-Sort), or completely ineffective (e.g., Coupon-Collector). Since
the main focus of expected-runtime analysis is to obtain efficient bounds, we
consider bounds that are either logarithmic, linear or almost-linear (O(log n),
O(n), O(n · log n), respectively, where n represents the input size). Our main
contribution is an efficient (simple linear-time algorithm) sound approach for
deriving such expected-runtime bounds for the analysis of recurrence relations
induced by randomized algorithms. The experimental results show that our approach
can efficiently derive asymptotically optimal expected-runtime bounds for recurrences
of classical randomized algorithms, including Randomized-Search, Quick-Sort, Quick-Select,
Coupon-Collector, where the worst-case bounds are either inefficient (such as
linear as compared to logarithmic expected-runtime complexity, or quadratic as
compared to linear or almost-linear expected-runtime complexity), or ineffective.
alternative_title:
- LNCS
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Hongfei
full_name: Fu, Hongfei
last_name: Fu
- first_name: Aniket
full_name: Murhekar, Aniket
last_name: Murhekar
citation:
ama: 'Chatterjee K, Fu H, Murhekar A. Automated recurrence analysis for almost linear
expected runtime bounds. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:118-139.
doi:10.1007/978-3-319-63387-9_6'
apa: 'Chatterjee, K., Fu, H., & Murhekar, A. (2017). Automated recurrence analysis
for almost linear expected runtime bounds. In R. Majumdar & V. Kunčak (Eds.)
(Vol. 10426, pp. 118–139). Presented at the CAV: Computer Aided Verification,
Heidelberg, Germany: Springer. https://doi.org/10.1007/978-3-319-63387-9_6'
chicago: Chatterjee, Krishnendu, Hongfei Fu, and Aniket Murhekar. “Automated Recurrence
Analysis for Almost Linear Expected Runtime Bounds.” edited by Rupak Majumdar
and Viktor Kunčak, 10426:118–39. Springer, 2017. https://doi.org/10.1007/978-3-319-63387-9_6.
ieee: 'K. Chatterjee, H. Fu, and A. Murhekar, “Automated recurrence analysis for
almost linear expected runtime bounds,” presented at the CAV: Computer Aided Verification,
Heidelberg, Germany, 2017, vol. 10426, pp. 118–139.'
ista: 'Chatterjee K, Fu H, Murhekar A. 2017. Automated recurrence analysis for almost
linear expected runtime bounds. CAV: Computer Aided Verification, LNCS, vol. 10426,
118–139.'
mla: Chatterjee, Krishnendu, et al. Automated Recurrence Analysis for Almost
Linear Expected Runtime Bounds. Edited by Rupak Majumdar and Viktor Kunčak,
vol. 10426, Springer, 2017, pp. 118–39, doi:10.1007/978-3-319-63387-9_6.
short: K. Chatterjee, H. Fu, A. Murhekar, in:, R. Majumdar, V. Kunčak (Eds.), Springer,
2017, pp. 118–139.
conference:
end_date: 2017-07-28
location: Heidelberg, Germany
name: 'CAV: Computer Aided Verification'
start_date: 2017-07-24
date_created: 2018-12-11T11:47:35Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T08:06:55Z
day: '01'
department:
- _id: KrCh
doi: 10.1007/978-3-319-63387-9_6
ec_funded: 1
editor:
- first_name: Rupak
full_name: Majumdar, Rupak
last_name: Majumdar
- first_name: Viktor
full_name: Kunčak, Viktor
last_name: Kunčak
intvolume: ' 10426'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1705.00314
month: '01'
oa: 1
oa_version: Submitted Version
page: 118 - 139
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
publication_identifier:
isbn:
- 978-331963386-2
publication_status: published
publisher: Springer
publist_id: '7166'
quality_controlled: '1'
scopus_import: 1
status: public
title: Automated recurrence analysis for almost linear expected runtime bounds
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 10426
year: '2017'
...