---
_id: '3325'
abstract:
- lang: eng
text: We introduce streaming data string transducers that map input data strings
to output data strings in a single left-to-right pass in linear time. Data strings
are (unbounded) sequences of data values, tagged with symbols from a finite set,
over a potentially infinite data do- main that supports only the operations of
equality and ordering. The transducer uses a finite set of states, a finite set
of variables ranging over the data domain, and a finite set of variables ranging
over data strings. At every step, it can make decisions based on the next in-
put symbol, updating its state, remembering the input data value in its data variables,
and updating data-string variables by concatenat- ing data-string variables and
new symbols formed from data vari- ables, while avoiding duplication. We establish
that the problems of checking functional equivalence of two streaming transducers,
and of checking whether a streaming transducer satisfies pre/post verification
conditions specified by streaming acceptors over in- put/output data-strings,
are in PSPACE. We identify a class of imperative and a class of functional pro-
grams, manipulating lists of data items, which can be effectively translated to
streaming data-string transducers. The imperative pro- grams dynamically modify
a singly-linked heap by changing next- pointers of heap-nodes and by adding new
nodes. The main re- striction specifies how the next-pointers can be used for
traversal. We also identify an expressively equivalent fragment of functional
programs that traverse a list using syntactically restricted recursive calls.
Our results lead to algorithms for assertion checking and for checking functional
equivalence of two programs, written possibly in different programming styles,
for commonly used routines such as insert, delete, and reverse.
article_processing_charge: No
author:
- first_name: Rajeev
full_name: Alur, Rajeev
last_name: Alur
- first_name: Pavol
full_name: Cerny, Pavol
id: 4DCBEFFE-F248-11E8-B48F-1D18A9856A87
last_name: Cerny
citation:
ama: 'Alur R, Cerny P. Streaming transducers for algorithmic verification of single
pass list processing programs. In: Vol 46. ACM; 2011:599-610. doi:10.1145/1926385.1926454'
apa: 'Alur, R., & Cerny, P. (2011). Streaming transducers for algorithmic verification
of single pass list processing programs (Vol. 46, pp. 599–610). Presented at the
POPL: Principles of Programming Languages, Texas, USA: ACM. https://doi.org/10.1145/1926385.1926454'
chicago: Alur, Rajeev, and Pavol Cerny. “Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs,” 46:599–610. ACM, 2011. https://doi.org/10.1145/1926385.1926454.
ieee: 'R. Alur and P. Cerny, “Streaming transducers for algorithmic verification
of single pass list processing programs,” presented at the POPL: Principles of
Programming Languages, Texas, USA, 2011, vol. 46, no. 1, pp. 599–610.'
ista: 'Alur R, Cerny P. 2011. Streaming transducers for algorithmic verification
of single pass list processing programs. POPL: Principles of Programming Languages
vol. 46, 599–610.'
mla: Alur, Rajeev, and Pavol Cerny. Streaming Transducers for Algorithmic Verification
of Single Pass List Processing Programs. Vol. 46, no. 1, ACM, 2011, pp. 599–610,
doi:10.1145/1926385.1926454.
short: R. Alur, P. Cerny, in:, ACM, 2011, pp. 599–610.
conference:
end_date: 2011-01-28
location: Texas, USA
name: 'POPL: Principles of Programming Languages'
start_date: 2011-01-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-01-26T00:00:00Z
date_updated: 2025-09-30T09:10:38Z
day: '26'
department:
- _id: ToHe
doi: 10.1145/1926385.1926454
external_id:
isi:
- '000289656100050'
intvolume: ' 46'
isi: 1
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 599 - 610
publication_status: published
publisher: ACM
publist_id: '3310'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Streaming transducers for algorithmic verification of single pass list processing
programs
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 46
year: '2011'
...
---
_id: '3326'
abstract:
- lang: eng
text: 'Weighted automata map input words to numerical values. Ap- plications of
weighted automata include formal verification of quantitative properties, as well
as text, speech, and image processing. A weighted au- tomaton is defined with
respect to a semiring. For the tropical semiring, the weight of a run is the sum
of the weights of the transitions taken along the run, and the value of a word
is the minimal weight of an accepting run on it. In the 90’s, Krob studied the
decidability of problems on rational series defined with respect to the tropical
semiring. Rational series are strongly related to weighted automata, and Krob’s
results apply to them. In par- ticular, it follows from Krob’s results that the
universality problem (that is, deciding whether the values of all words are below
some threshold) is decidable for weighted automata defined with respect to the
tropical semir- ing with domain ∪ {∞}, and that the equality problem is undecidable
when the domain is ∪ {∞}. In this paper we continue the study of the borders of
decidability in weighted automata, describe alternative and direct proofs of the
above results, and tighten them further. Unlike the proofs of Krob, which are
algebraic in their nature, our proofs stay in the terrain of state machines, and
the reduction is from the halting problem of a two-counter machine. This enables
us to significantly simplify Krob’s reasoning, make the un- decidability result
accessible to the automata-theoretic community, and strengthen it to apply already
to a very simple class of automata: all the states are accepting, there are no
initial nor final weights, and all the weights on the transitions are from the
set {−1, 0, 1}. The fact we work directly with the automata enables us to tighten
also the decidability re- sults and to show that the universality problem for
weighted automata defined with respect to the tropical semiring with domain ∪
{∞}, and in fact even with domain ≥0 ∪ {∞}, is PSPACE-complete. Our results thus
draw a sharper picture about the decidability of decision problems for weighted
automata, in both the front of containment vs. universality and the front of the
∪ {∞} vs. the ∪ {∞} domains.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Shaull
full_name: Almagor, Shaull
last_name: Almagor
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Almagor S, Boker U, Kupferman O. What’s decidable about weighted automata.
In: Vol 6996. Springer; 2011:482-491. doi:10.1007/978-3-642-24372-1_37'
apa: 'Almagor, S., Boker, U., & Kupferman, O. (2011). What’s decidable about
weighted automata (Vol. 6996, pp. 482–491). Presented at the ATVA: Automated Technology
for Verification and Analysis, Taipei, Taiwan: Springer. https://doi.org/10.1007/978-3-642-24372-1_37'
chicago: Almagor, Shaull, Udi Boker, and Orna Kupferman. “What’s Decidable about
Weighted Automata,” 6996:482–91. Springer, 2011. https://doi.org/10.1007/978-3-642-24372-1_37.
ieee: 'S. Almagor, U. Boker, and O. Kupferman, “What’s decidable about weighted
automata,” presented at the ATVA: Automated Technology for Verification and Analysis,
Taipei, Taiwan, 2011, vol. 6996, pp. 482–491.'
ista: 'Almagor S, Boker U, Kupferman O. 2011. What’s decidable about weighted automata.
ATVA: Automated Technology for Verification and Analysis, LNCS, vol. 6996, 482–491.'
mla: Almagor, Shaull, et al. What’s Decidable about Weighted Automata. Vol.
6996, Springer, 2011, pp. 482–91, doi:10.1007/978-3-642-24372-1_37.
short: S. Almagor, U. Boker, O. Kupferman, in:, Springer, 2011, pp. 482–491.
conference:
end_date: 2011-10-14
location: Taipei, Taiwan
name: 'ATVA: Automated Technology for Verification and Analysis'
start_date: 2011-10-11
date_created: 2018-12-11T12:02:41Z
date_published: 2011-10-14T00:00:00Z
date_updated: 2025-01-14T12:09:37Z
day: '14'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-642-24372-1_37
file:
- access_level: open_access
checksum: a7ca08a2cb1b6925f4c18a3034ae5659
content_type: application/pdf
creator: dernst
date_created: 2020-05-19T16:08:32Z
date_updated: 2020-07-14T12:46:07Z
file_id: '7868'
file_name: 2011_LNCS_Almagor.pdf
file_size: 182309
relation: main_file
file_date_updated: 2020-07-14T12:46:07Z
has_accepted_license: '1'
intvolume: ' 6996'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Submitted Version
page: 482 - 491
publication_status: published
publisher: Springer
publist_id: '3309'
quality_controlled: '1'
scopus_import: '1'
status: public
title: What’s decidable about weighted automata
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6996
year: '2011'
...
---
_id: '3327'
abstract:
- lang: eng
text: We solve the open problems of translating, when possible, all common classes
of nondeterministic word automata to deterministic and nondeterministic co-Büchi
word automata. The handled classes include Büchi, parity, Rabin, Streett and Muller
automata. The translations follow a unified approach and are all asymptotically
tight. The problem of translating Büchi automata to equivalent co-Büchi automata
was solved in [2], leaving open the problems of translating automata with richer
acceptance conditions. For these classes, one cannot easily extend or use the
construction in [2]. In particular, going via an intermediate Büchi automaton
is not optimal and might involve a blow-up exponentially higher than the known
lower bound. Other known translations are also not optimal and involve a doubly
exponential blow-up. We describe direct, simple, and asymptotically tight constructions,
involving a 2Θ(n) blow-up. The constructions are variants of the subset construction,
and allow for symbolic implementations. Beyond the theoretical importance of the
results, the new constructions have various applications, among which is an improved
algorithm for translating, when possible, LTL formulas to deterministic Büchi
word automata.
alternative_title:
- LNCS
author:
- first_name: Udi
full_name: Boker, Udi
id: 31E297B6-F248-11E8-B48F-1D18A9856A87
last_name: Boker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
citation:
ama: 'Boker U, Kupferman O. Co-Büching them all. In: Hofmann M, ed. Vol 6604. Springer;
2011:184-198. doi:10.1007/978-3-642-19805-2_13'
apa: 'Boker, U., & Kupferman, O. (2011). Co-Büching them all. In M. Hofmann
(Ed.) (Vol. 6604, pp. 184–198). Presented at the FoSSaCS: Foundations of Software
Science and Computation Structures, Saarbrücken, Germany: Springer. https://doi.org/10.1007/978-3-642-19805-2_13'
chicago: Boker, Udi, and Orna Kupferman. “Co-Büching Them All.” edited by Martin
Hofmann, 6604:184–98. Springer, 2011. https://doi.org/10.1007/978-3-642-19805-2_13.
ieee: 'U. Boker and O. Kupferman, “Co-Büching them all,” presented at the FoSSaCS:
Foundations of Software Science and Computation Structures, Saarbrücken, Germany,
2011, vol. 6604, pp. 184–198.'
ista: 'Boker U, Kupferman O. 2011. Co-Büching them all. FoSSaCS: Foundations of
Software Science and Computation Structures, LNCS, vol. 6604, 184–198.'
mla: Boker, Udi, and Orna Kupferman. Co-Büching Them All. Edited by Martin
Hofmann, vol. 6604, Springer, 2011, pp. 184–98, doi:10.1007/978-3-642-19805-2_13.
short: U. Boker, O. Kupferman, in:, M. Hofmann (Ed.), Springer, 2011, pp. 184–198.
conference:
end_date: 2011-04-03
location: Saarbrücken, Germany
name: 'FoSSaCS: Foundations of Software Science and Computation Structures'
start_date: 2011-03-26
date_created: 2018-12-11T12:02:41Z
date_published: 2011-03-29T00:00:00Z
date_updated: 2021-01-12T07:42:41Z
day: '29'
doi: 10.1007/978-3-642-19805-2_13
editor:
- first_name: Martin
full_name: Hofmann, Martin
last_name: Hofmann
extern: '1'
intvolume: ' 6604'
language:
- iso: eng
month: '03'
oa_version: None
page: 184 - 198
publication_status: published
publisher: Springer
publist_id: '3308'
quality_controlled: '1'
status: public
title: Co-Büching them all
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6604
year: '2011'
...
---
_id: '3329'
abstract:
- lang: eng
text: 'We consider the offset-deconstruction problem: Given a polygonal shape Q
with n vertices, can it be expressed, up to a tolerance µ in Hausdorff distance,
as the Minkowski sum of another polygonal shape P with a disk of fixed radius?
If it does, we also seek a preferably simple-looking solution shape P; then, P''s
offset constitutes an accurate, vertex-reduced, and smoothened approximation of
Q. We give an O(n log n)-time exact decision algorithm that handles any polygonal
shape, assuming the real-RAM model of computation. An alternative algorithm, based
purely on rational arithmetic, answers the same deconstruction problem, up to
an uncertainty parameter, and its running time depends on the parameter δ (in
addition to the other input parameters: n, δ and the radius of the disk). If the
input shape is found to be approximable, the rational-arithmetic algorithm also
computes an approximate solution shape for the problem. For convex shapes, the
complexity of the exact decision algorithm drops to O(n), which is also the time
required to compute a solution shape P with at most one more vertex than a vertex-minimal
one. Our study is motivated by applications from two different domains. However,
since the offset operation has numerous uses, we anticipate that the reverse question
that we study here will be still more broadly applicable. We present results obtained
with our implementation of the rational-arithmetic algorithm.'
article_processing_charge: No
arxiv: 1
author:
- first_name: Eric
full_name: Berberich, Eric
last_name: Berberich
- first_name: Dan
full_name: Halperin, Dan
last_name: Halperin
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Roza
full_name: Pogalnikova, Roza
last_name: Pogalnikova
citation:
ama: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. Deconstructing approximate
offsets. In: Proceedings of the Twenty-Seventh Annual Symposium on Computational
Geometry. ACM; 2011:187-196. doi:10.1145/1998196.1998225'
apa: 'Berberich, E., Halperin, D., Kerber, M., & Pogalnikova, R. (2011). Deconstructing
approximate offsets. In Proceedings of the twenty-seventh annual symposium
on Computational geometry (pp. 187–196). Paris, France: ACM. https://doi.org/10.1145/1998196.1998225'
chicago: Berberich, Eric, Dan Halperin, Michael Kerber, and Roza Pogalnikova. “Deconstructing
Approximate Offsets.” In Proceedings of the Twenty-Seventh Annual Symposium
on Computational Geometry, 187–96. ACM, 2011. https://doi.org/10.1145/1998196.1998225.
ieee: E. Berberich, D. Halperin, M. Kerber, and R. Pogalnikova, “Deconstructing
approximate offsets,” in Proceedings of the twenty-seventh annual symposium
on Computational geometry, Paris, France, 2011, pp. 187–196.
ista: 'Berberich E, Halperin D, Kerber M, Pogalnikova R. 2011. Deconstructing approximate
offsets. Proceedings of the twenty-seventh annual symposium on Computational geometry.
SCG: Symposium on Computational Geometry, 187–196.'
mla: Berberich, Eric, et al. “Deconstructing Approximate Offsets.” Proceedings
of the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011,
pp. 187–96, doi:10.1145/1998196.1998225.
short: E. Berberich, D. Halperin, M. Kerber, R. Pogalnikova, in:, Proceedings of
the Twenty-Seventh Annual Symposium on Computational Geometry, ACM, 2011, pp.
187–196.
conference:
end_date: 2011-06-15
location: Paris, France
name: 'SCG: Symposium on Computational Geometry'
start_date: 2011-06-13
date_created: 2018-12-11T12:02:42Z
date_published: 2011-06-13T00:00:00Z
date_updated: 2025-09-30T08:01:35Z
day: '13'
department:
- _id: HeEd
doi: 10.1145/1998196.1998225
external_id:
arxiv:
- '1109.2158'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.2158
month: '06'
oa: 1
oa_version: Preprint
page: 187 - 196
publication: Proceedings of the twenty-seventh annual symposium on Computational geometry
publication_status: published
publisher: ACM
publist_id: '3306'
quality_controlled: '1'
related_material:
record:
- id: '3115'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Deconstructing approximate offsets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3330'
abstract:
- lang: eng
text: We consider the problem of approximating all real roots of a square-free polynomial
f. Given isolating intervals, our algorithm refines each of them to a width at
most 2-L, that is, each of the roots is approximated to L bits after the binary
point. Our method provides a certified answer for arbitrary real polynomials,
only requiring finite approximations of the polynomial coefficient and choosing
a suitable working precision adaptively. In this way, we get a correct algorithm
that is simple to implement and practically efficient. Our algorithm uses the
quadratic interval refinement method; we adapt that method to be able to cope
with inaccuracies when evaluating f, without sacrificing its quadratic convergence
behavior. We prove a bound on the bit complexity of our algorithm in terms of
degree, coefficient size and discriminant. Our bound improves previous work on
integer polynomials by a factor of deg f and essentially matches best known theoretical
bounds on root approximation which are obtained by very sophisticated algorithms.
article_processing_charge: No
arxiv: 1
author:
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Michael
full_name: Sagraloff, Michael
last_name: Sagraloff
citation:
ama: 'Kerber M, Sagraloff M. Root refinement for real polynomials. In: Springer;
2011:209-216. doi:10.1145/1993886.1993920'
apa: 'Kerber, M., & Sagraloff, M. (2011). Root refinement for real polynomials
(pp. 209–216). Presented at the ISSAC: International Symposium on Symbolic and
Algebraic Computation, California, USA: Springer. https://doi.org/10.1145/1993886.1993920'
chicago: Kerber, Michael, and Michael Sagraloff. “Root Refinement for Real Polynomials,”
209–16. Springer, 2011. https://doi.org/10.1145/1993886.1993920.
ieee: 'M. Kerber and M. Sagraloff, “Root refinement for real polynomials,” presented
at the ISSAC: International Symposium on Symbolic and Algebraic Computation, California,
USA, 2011, pp. 209–216.'
ista: 'Kerber M, Sagraloff M. 2011. Root refinement for real polynomials. ISSAC:
International Symposium on Symbolic and Algebraic Computation, 209–216.'
mla: Kerber, Michael, and Michael Sagraloff. Root Refinement for Real Polynomials.
Springer, 2011, pp. 209–16, doi:10.1145/1993886.1993920.
short: M. Kerber, M. Sagraloff, in:, Springer, 2011, pp. 209–216.
conference:
end_date: 2011-06-11
location: California, USA
name: 'ISSAC: International Symposium on Symbolic and Algebraic Computation'
start_date: 2011-06-08
date_created: 2018-12-11T12:02:43Z
date_published: 2011-06-08T00:00:00Z
date_updated: 2021-01-12T07:42:42Z
day: '08'
department:
- _id: HeEd
doi: 10.1145/1993886.1993920
external_id:
arxiv:
- '1104.1362'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.1362
month: '06'
oa: 1
oa_version: Preprint
page: 209 - 216
publication_status: published
publisher: Springer
publist_id: '3304'
quality_controlled: '1'
scopus_import: 1
status: public
title: Root refinement for real polynomials
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3332'
abstract:
- lang: eng
text: Given an algebraic hypersurface O in ℝd, how many simplices are necessary
for a simplicial complex isotopic to O? We address this problem and the variant
where all vertices of the complex must lie on O. We give asymptotically tight
worst-case bounds for algebraic plane curves. Our results gradually improve known
bounds in higher dimensions; however, the question for tight bounds remains unsolved
for d ≥ 3.
article_processing_charge: No
article_type: original
author:
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Michael
full_name: Sagraloff, Michael
last_name: Sagraloff
citation:
ama: Kerber M, Sagraloff M. A note on the complexity of real algebraic hypersurfaces.
Graphs and Combinatorics. 2011;27(3):419-430. doi:10.1007/s00373-011-1020-7
apa: Kerber, M., & Sagraloff, M. (2011). A note on the complexity of real algebraic
hypersurfaces. Graphs and Combinatorics. Springer. https://doi.org/10.1007/s00373-011-1020-7
chicago: Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real
Algebraic Hypersurfaces.” Graphs and Combinatorics. Springer, 2011. https://doi.org/10.1007/s00373-011-1020-7.
ieee: M. Kerber and M. Sagraloff, “A note on the complexity of real algebraic hypersurfaces,”
Graphs and Combinatorics, vol. 27, no. 3. Springer, pp. 419–430, 2011.
ista: Kerber M, Sagraloff M. 2011. A note on the complexity of real algebraic hypersurfaces.
Graphs and Combinatorics. 27(3), 419–430.
mla: Kerber, Michael, and Michael Sagraloff. “A Note on the Complexity of Real Algebraic
Hypersurfaces.” Graphs and Combinatorics, vol. 27, no. 3, Springer, 2011,
pp. 419–30, doi:10.1007/s00373-011-1020-7.
short: M. Kerber, M. Sagraloff, Graphs and Combinatorics 27 (2011) 419–430.
corr_author: '1'
date_created: 2018-12-11T12:02:43Z
date_published: 2011-03-17T00:00:00Z
date_updated: 2025-09-30T09:09:33Z
day: '17'
ddc:
- '500'
department:
- _id: HeEd
doi: 10.1007/s00373-011-1020-7
external_id:
isi:
- '000289438700011'
file:
- access_level: open_access
checksum: a63a1e3e885dcc68f1e3dea68dfbe213
content_type: application/pdf
creator: dernst
date_created: 2020-05-19T16:11:36Z
date_updated: 2020-07-14T12:46:08Z
file_id: '7869'
file_name: 2011_GraphsCombi_Kerber.pdf
file_size: 143976
relation: main_file
file_date_updated: 2020-07-14T12:46:08Z
has_accepted_license: '1'
intvolume: ' 27'
isi: 1
issue: '3'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Submitted Version
page: 419 - 430
publication: Graphs and Combinatorics
publication_status: published
publisher: Springer
publist_id: '3301'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A note on the complexity of real algebraic hypersurfaces
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 27
year: '2011'
...
---
OA_type: closed access
_id: '3334'
article_processing_charge: No
article_type: editorial
author:
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: János
full_name: Pach, János
last_name: Pach
- first_name: Günter
full_name: Ziegler, Günter
last_name: Ziegler
citation:
ama: Edelsbrunner H, Pach J, Ziegler G. Letter from the new editors-in-chief. Discrete
& Computational Geometry. 2011;45(1):1-2. doi:10.1007/s00454-010-9313-9
apa: Edelsbrunner, H., Pach, J., & Ziegler, G. (2011). Letter from the new editors-in-chief.
Discrete & Computational Geometry. Springer. https://doi.org/10.1007/s00454-010-9313-9
chicago: Edelsbrunner, Herbert, János Pach, and Günter Ziegler. “Letter from the
New Editors-in-Chief.” Discrete & Computational Geometry. Springer,
2011. https://doi.org/10.1007/s00454-010-9313-9.
ieee: H. Edelsbrunner, J. Pach, and G. Ziegler, “Letter from the new editors-in-chief,”
Discrete & Computational Geometry, vol. 45, no. 1. Springer, pp. 1–2,
2011.
ista: Edelsbrunner H, Pach J, Ziegler G. 2011. Letter from the new editors-in-chief.
Discrete & Computational Geometry. 45(1), 1–2.
mla: Edelsbrunner, Herbert, et al. “Letter from the New Editors-in-Chief.” Discrete
& Computational Geometry, vol. 45, no. 1, Springer, 2011, pp. 1–2, doi:10.1007/s00454-010-9313-9.
short: H. Edelsbrunner, J. Pach, G. Ziegler, Discrete & Computational Geometry
45 (2011) 1–2.
date_created: 2018-12-11T12:02:44Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2025-05-20T06:02:58Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s00454-010-9313-9
intvolume: ' 45'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 1 - 2
publication: Discrete & Computational Geometry
publication_status: published
publisher: Springer
publist_id: '3297'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Letter from the new editors-in-chief
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 45
year: '2011'
...
---
_id: '3335'
abstract:
- lang: eng
text: We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent
Betti numbers, which formalize the topological information content of the cosmic
mass distribution. While the Betti numbers do not fully quantify topology, they
extend the information beyond conventional cosmological studies of topology in
terms of genus and Euler characteristic. The richer information content of Betti
numbers goes along the availability of fast algorithms to compute them. For continuous
density fields, we determine the scale-dependence of Betti numbers by invoking
the cosmologically familiar filtration of sublevel or superlevel sets defined
by density thresholds. For the discrete galaxy distribution, however, the analysis
is based on the alpha shapes of the particles. These simplicial complexes constitute
an ordered sequence of nested subsets of the Delaunay tessellation, a filtration
defined by the scale parameter, α. As they are homotopy equivalent to the sublevel
sets of the distance field, they are an excellent tool for assessing the topological
structure of a discrete point distribution. In order to develop an intuitive understanding
for the behavior of Betti numbers as a function of α, and their relation to the
morphological patterns in the Cosmic Web, we first study them within the context
of simple heuristic Voronoi clustering models. These can be tuned to consist of
specific morphological elements of the Cosmic Web, i.e. clusters, filaments, or
sheets. To elucidate the relative prominence of the various Betti numbers in different
stages of morphological evolution, we introduce the concept of alpha tracks. Subsequently,
we address the topology of structures emerging in the standard LCDM scenario and
in cosmological scenarios with alternative dark energy content. The evolution
of the Betti numbers is shown to reflect the hierarchical evolution of the Cosmic
Web. We also demonstrate that the scale-dependence of the Betti numbers yields
a promising measure of cosmological parameters, with a potential to help in determining
the nature of dark energy and to probe primordial non-Gaussianities. We also discuss
the expected Betti numbers as a function of the density threshold for superlevel
sets of a Gaussian random field. Finally, we introduce the concept of persistent
homology. It measures scale levels of the mass distribution and allows us to separate
small from large scale features. Within the context of the hierarchical cosmic
structure formation, persistence provides a natural formalism for a multiscale
topology study of the Cosmic Web.
alternative_title:
- LNCS
arxiv: 1
author:
- first_name: Rien
full_name: Van De Weygaert, Rien
last_name: Van De Weygaert
- first_name: Gert
full_name: Vegter, Gert
last_name: Vegter
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Bernard
full_name: Jones, Bernard
last_name: Jones
- first_name: Pratyush
full_name: Pranav, Pratyush
last_name: Pranav
- first_name: Changbom
full_name: Park, Changbom
last_name: Park
- first_name: Wojciech
full_name: Hellwing, Wojciech
last_name: Hellwing
- first_name: Bob
full_name: Eldering, Bob
last_name: Eldering
- first_name: Nico
full_name: Kruithof, Nico
last_name: Kruithof
- first_name: Patrick
full_name: Bos, Patrick
last_name: Bos
- first_name: Johan
full_name: Hidding, Johan
last_name: Hidding
- first_name: Job
full_name: Feldbrugge, Job
last_name: Feldbrugge
- first_name: Eline
full_name: Ten Have, Eline
last_name: Ten Have
- first_name: Matti
full_name: Van Engelen, Matti
last_name: Van Engelen
- first_name: Manuel
full_name: Caroli, Manuel
last_name: Caroli
- first_name: Monique
full_name: Teillaud, Monique
last_name: Teillaud
citation:
ama: 'Van De Weygaert R, Vegter G, Edelsbrunner H, et al. Alpha, Betti and the Megaparsec
Universe: On the topology of the Cosmic Web. In: Gavrilova M, Tan K, Mostafavi
M, eds. Transactions on Computational Science XIV. Vol 6970. Special Issue
on Voronoi Diagrams and Delaunay Triangulation. Springer; 2011:60-101. doi:10.1007/978-3-642-25249-5_3'
apa: 'Van De Weygaert, R., Vegter, G., Edelsbrunner, H., Jones, B., Pranav, P.,
Park, C., … Teillaud, M. (2011). Alpha, Betti and the Megaparsec Universe: On
the topology of the Cosmic Web. In M. Gavrilova, K. Tan, & M. Mostafavi (Eds.),
Transactions on Computational Science XIV (Vol. 6970, pp. 60–101). Springer.
https://doi.org/10.1007/978-3-642-25249-5_3'
chicago: 'Van De Weygaert, Rien, Gert Vegter, Herbert Edelsbrunner, Bernard Jones,
Pratyush Pranav, Changbom Park, Wojciech Hellwing, et al. “Alpha, Betti and the
Megaparsec Universe: On the Topology of the Cosmic Web.” In Transactions on
Computational Science XIV, edited by Marina Gavrilova, Kenneth Tan, and Mir
Mostafavi, 6970:60–101. Special Issue on Voronoi Diagrams and Delaunay Triangulation.
Springer, 2011. https://doi.org/10.1007/978-3-642-25249-5_3.'
ieee: 'R. Van De Weygaert et al., “Alpha, Betti and the Megaparsec Universe:
On the topology of the Cosmic Web,” in Transactions on Computational Science
XIV, vol. 6970, M. Gavrilova, K. Tan, and M. Mostafavi, Eds. Springer, 2011,
pp. 60–101.'
ista: 'Van De Weygaert R, Vegter G, Edelsbrunner H, Jones B, Pranav P, Park C, Hellwing
W, Eldering B, Kruithof N, Bos P, Hidding J, Feldbrugge J, Ten Have E, Van Engelen
M, Caroli M, Teillaud M. 2011.Alpha, Betti and the Megaparsec Universe: On the
topology of the Cosmic Web. In: Transactions on Computational Science XIV. LNCS,
vol. 6970, 60–101.'
mla: 'Van De Weygaert, Rien, et al. “Alpha, Betti and the Megaparsec Universe: On
the Topology of the Cosmic Web.” Transactions on Computational Science XIV,
edited by Marina Gavrilova et al., vol. 6970, Springer, 2011, pp. 60–101, doi:10.1007/978-3-642-25249-5_3.'
short: R. Van De Weygaert, G. Vegter, H. Edelsbrunner, B. Jones, P. Pranav, C. Park,
W. Hellwing, B. Eldering, N. Kruithof, P. Bos, J. Hidding, J. Feldbrugge, E. Ten
Have, M. Van Engelen, M. Caroli, M. Teillaud, in:, M. Gavrilova, K. Tan, M. Mostafavi
(Eds.), Transactions on Computational Science XIV, Springer, 2011, pp. 60–101.
date_created: 2018-12-11T12:02:44Z
date_published: 2011-11-09T00:00:00Z
date_updated: 2021-01-12T07:42:44Z
day: '09'
department:
- _id: HeEd
doi: 10.1007/978-3-642-25249-5_3
editor:
- first_name: Marina
full_name: Gavrilova, Marina
last_name: Gavrilova
- first_name: Kenneth
full_name: Tan, Kenneth
last_name: Tan
- first_name: Mir
full_name: Mostafavi, Mir
last_name: Mostafavi
external_id:
arxiv:
- '1306.3640'
intvolume: ' 6970'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1306.3640
month: '11'
oa: 1
oa_version: Preprint
page: 60 - 101
publication: Transactions on Computational Science XIV
publication_status: published
publisher: Springer
publist_id: '3295'
quality_controlled: '1'
scopus_import: 1
series_title: Special Issue on Voronoi Diagrams and Delaunay Triangulation
status: public
title: 'Alpha, Betti and the Megaparsec Universe: On the topology of the Cosmic Web'
type: book_chapter
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6970
year: '2011'
...
---
_id: '3336'
abstract:
- lang: eng
text: 'We introduce TopoCut: a new way to integrate knowledge about topological
properties (TPs) into random field image segmentation model. Instead of including
TPs as additional constraints during minimization of the energy function, we devise
an efficient algorithm for modifying the unary potentials such that the resulting
segmentation is guaranteed with the desired properties. Our method is more flexible
in the sense that it handles more topology constraints than previous methods,
which were only able to enforce pairwise or global connectivity. In particular,
our method is very fast, making it for the first time possible to enforce global
topological properties in practical image segmentation tasks.'
acknowledgement: The first author is supported by the Austrian Science Fund (FWF)
grant No. P20134-N13. The authors would like to thank Sebastian Nowozin for helpful
discussions.
article_processing_charge: No
author:
- first_name: Chao
full_name: Chen, Chao
id: 3E92416E-F248-11E8-B48F-1D18A9856A87
last_name: Chen
- first_name: Daniel
full_name: Freedman, Daniel
last_name: Freedman
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
citation:
ama: 'Chen C, Freedman D, Lampert C. Enforcing topological constraints in random
field image segmentation. In: CVPR: Computer Vision and Pattern Recognition.
IEEE; 2011:2089-2096. doi:10.1109/CVPR.2011.5995503'
apa: 'Chen, C., Freedman, D., & Lampert, C. (2011). Enforcing topological constraints
in random field image segmentation. In CVPR: Computer Vision and Pattern Recognition
(pp. 2089–2096). Colorado Springs, CO, United States: IEEE. https://doi.org/10.1109/CVPR.2011.5995503'
chicago: 'Chen, Chao, Daniel Freedman, and Christoph Lampert. “Enforcing Topological
Constraints in Random Field Image Segmentation.” In CVPR: Computer Vision and
Pattern Recognition, 2089–96. IEEE, 2011. https://doi.org/10.1109/CVPR.2011.5995503.'
ieee: 'C. Chen, D. Freedman, and C. Lampert, “Enforcing topological constraints
in random field image segmentation,” in CVPR: Computer Vision and Pattern Recognition,
Colorado Springs, CO, United States, 2011, pp. 2089–2096.'
ista: 'Chen C, Freedman D, Lampert C. 2011. Enforcing topological constraints in
random field image segmentation. CVPR: Computer Vision and Pattern Recognition.
CVPR: Conference on Computer Vision and Pattern Recognition, 2089–2096.'
mla: 'Chen, Chao, et al. “Enforcing Topological Constraints in Random Field Image
Segmentation.” CVPR: Computer Vision and Pattern Recognition, IEEE, 2011,
pp. 2089–96, doi:10.1109/CVPR.2011.5995503.'
short: 'C. Chen, D. Freedman, C. Lampert, in:, CVPR: Computer Vision and Pattern
Recognition, IEEE, 2011, pp. 2089–2096.'
conference:
end_date: 2011-06-25
location: Colorado Springs, CO, United States
name: 'CVPR: Conference on Computer Vision and Pattern Recognition'
start_date: 2011-06-20
corr_author: '1'
date_created: 2018-12-11T12:02:45Z
date_published: 2011-07-22T00:00:00Z
date_updated: 2024-10-09T20:54:30Z
day: '22'
department:
- _id: HeEd
- _id: ChLa
doi: 10.1109/CVPR.2011.5995503
language:
- iso: eng
month: '07'
oa_version: None
page: 2089 - 2096
publication: 'CVPR: Computer Vision and Pattern Recognition'
publication_identifier:
eisbn:
- 978-1-4577-0395-9
isbn:
- 978-1-4577-0394-2
publication_status: published
publisher: IEEE
publist_id: '3294'
quality_controlled: '1'
related_material:
record:
- id: '5386'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Enforcing topological constraints in random field image segmentation
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3337'
abstract:
- lang: eng
text: Playing table tennis is a difficult task for robots, especially due to their
limitations of acceleration. A key bottleneck is the amount of time needed to
reach the desired hitting position and velocity of the racket for returning the
incoming ball. Here, it often does not suffice to simply extrapolate the ball's
trajectory after the opponent returns it but more information is needed. Humans
are able to predict the ball's trajectory based on the opponent's moves and, thus,
have a considerable advantage. Hence, we propose to incorporate an anticipation
system into robot table tennis players, which enables the robot to react earlier
while the opponent is performing the striking movement. Based on visual observation
of the opponent's racket movement, the robot can predict the aim of the opponent
and adjust its movement generation accordingly. The policies for deciding how
and when to react are obtained by reinforcement learning. We conduct experiments
with an existing robot player to show that the learned reaction policy can significantly
improve the performance of the overall system.
article_processing_charge: No
author:
- first_name: Zhikun
full_name: Wang, Zhikun
last_name: Wang
- first_name: Christoph
full_name: Lampert, Christoph
id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
last_name: Lampert
orcid: 0000-0001-8622-7887
- first_name: Katharina
full_name: Mülling, Katharina
last_name: Mülling
- first_name: Bernhard
full_name: Schölkopf, Bernhard
last_name: Schölkopf
- first_name: Jan
full_name: Peters, Jan
last_name: Peters
citation:
ama: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. Learning anticipation
policies for robot table tennis. In: IEEE; 2011:332-337. doi:10.1109/IROS.2011.6094892'
apa: 'Wang, Z., Lampert, C., Mülling, K., Schölkopf, B., & Peters, J. (2011).
Learning anticipation policies for robot table tennis (pp. 332–337). Presented
at the IROS: Intelligent Robots and Systems, San Francisco, USA: IEEE. https://doi.org/10.1109/IROS.2011.6094892'
chicago: Wang, Zhikun, Christoph Lampert, Katharina Mülling, Bernhard Schölkopf,
and Jan Peters. “Learning Anticipation Policies for Robot Table Tennis,” 332–37.
IEEE, 2011. https://doi.org/10.1109/IROS.2011.6094892.
ieee: 'Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, and J. Peters, “Learning anticipation
policies for robot table tennis,” presented at the IROS: Intelligent Robots and
Systems, San Francisco, USA, 2011, pp. 332–337.'
ista: 'Wang Z, Lampert C, Mülling K, Schölkopf B, Peters J. 2011. Learning anticipation
policies for robot table tennis. IROS: Intelligent Robots and Systems, 332–337.'
mla: Wang, Zhikun, et al. Learning Anticipation Policies for Robot Table Tennis.
IEEE, 2011, pp. 332–37, doi:10.1109/IROS.2011.6094892.
short: Z. Wang, C. Lampert, K. Mülling, B. Schölkopf, J. Peters, in:, IEEE, 2011,
pp. 332–337.
conference:
end_date: 2011-09-30
location: San Francisco, USA
name: 'IROS: Intelligent Robots and Systems'
start_date: 2011-09-25
date_created: 2018-12-11T12:02:45Z
date_published: 2011-01-01T00:00:00Z
date_updated: 2025-07-10T11:52:30Z
day: '01'
department:
- _id: ChLa
doi: 10.1109/IROS.2011.6094892
language:
- iso: eng
month: '01'
oa_version: None
page: 332 - 337
publication_status: published
publisher: IEEE
publist_id: '3293'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Learning anticipation policies for robot table tennis
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3338'
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 inde- pendently 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, respec- tively. 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 power- ful 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.'
article_number: '1107.2146'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
citation:
ama: Chatterjee K. Bounded rationality in concurrent parity games. arXiv.:1-51.
doi:10.48550/arXiv.1107.2146
apa: Chatterjee, K. (n.d.). Bounded rationality in concurrent parity games. arXiv.
https://doi.org/10.48550/arXiv.1107.2146
chicago: Chatterjee, Krishnendu. “Bounded Rationality in Concurrent Parity Games.”
ArXiv, n.d. https://doi.org/10.48550/arXiv.1107.2146.
ieee: K. Chatterjee, “Bounded rationality in concurrent parity games,” arXiv.
pp. 1–51.
ista: Chatterjee K. Bounded rationality in concurrent parity games. arXiv, 1–51,
1107.2146.
mla: Chatterjee, Krishnendu. “Bounded Rationality in Concurrent Parity Games.” ArXiv,
1107.2146, pp. 1–51, doi:10.48550/arXiv.1107.2146.
short: K. Chatterjee, ArXiv (n.d.) 1–51.
corr_author: '1'
date_created: 2018-12-11T12:02:45Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2025-06-26T09:28:52Z
day: '11'
department:
- _id: KrCh
doi: 10.48550/arXiv.1107.2146
external_id:
arxiv:
- '1107.2146'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1107.2146
month: '07'
oa: 1
oa_version: Preprint
page: 1 - 51
publication: arXiv
publication_status: submitted
publist_id: '3287'
related_material:
record:
- id: '5380'
relation: earlier_version
status: public
status: public
title: Bounded rationality in concurrent parity games
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3339'
abstract:
- lang: eng
text: 'Turn-based stochastic games and its important subclass Markov decision processes
(MDPs) provide models for systems with both probabilistic and nondeterministic
behaviors. We consider turn-based stochastic games with two classical quantitative
objectives: discounted-sum and long-run average objectives. The game models and
the quantitative objectives are widely used in probabilistic verification, planning,
optimal inventory control, network protocol and performance analysis. Games and
MDPs that model realistic systems often have very large state spaces, and probabilistic
abstraction techniques are necessary to handle the state-space explosion. The
commonly used full-abstraction techniques do not yield space-savings for systems
that have many states with similar value, but does not necessarily have similar
transition structure. A semi-abstraction technique, namely Magnifying-lens abstractions
(MLA), that clusters states based on value only, disregarding differences in their
transition relation was proposed for qualitative objectives (reachability and
safety objectives). In this paper we extend the MLA technique to solve stochastic
games with discounted-sum and long-run average objectives. We present the MLA
technique based abstraction-refinement algorithm for stochastic games and MDPs
with discounted-sum objectives. For long-run average objectives, our solution
works for all MDPs and a sub-class of stochastic games where every state has the
same value. '
article_number: '1107.2132'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Roy
full_name: Pritam, Roy
last_name: Pritam
citation:
ama: Chatterjee K, De Alfaro L, Pritam R. Magnifying lens abstraction for stochastic
games with discounted and long-run average objectives. arXiv. doi:10.48550/arXiv.1107.2132
apa: Chatterjee, K., De Alfaro, L., & Pritam, R. (n.d.). Magnifying lens abstraction
for stochastic games with discounted and long-run average objectives. arXiv.
https://doi.org/10.48550/arXiv.1107.2132
chicago: Chatterjee, Krishnendu, Luca De Alfaro, and Roy Pritam. “Magnifying Lens
Abstraction for Stochastic Games with Discounted and Long-Run Average Objectives.”
ArXiv, n.d. https://doi.org/10.48550/arXiv.1107.2132.
ieee: K. Chatterjee, L. De Alfaro, and R. Pritam, “Magnifying lens abstraction for
stochastic games with discounted and long-run average objectives,” arXiv.
.
ista: Chatterjee K, De Alfaro L, Pritam R. Magnifying lens abstraction for stochastic
games with discounted and long-run average objectives. arXiv, 1107.2132.
mla: Chatterjee, Krishnendu, et al. “Magnifying Lens Abstraction for Stochastic
Games with Discounted and Long-Run Average Objectives.” ArXiv, 1107.2132,
doi:10.48550/arXiv.1107.2132.
short: K. Chatterjee, L. De Alfaro, R. Pritam, ArXiv (n.d.).
date_created: 2018-12-11T12:02:46Z
date_published: 2011-07-11T00:00:00Z
date_updated: 2025-06-26T09:24:35Z
day: '11'
department:
- _id: KrCh
doi: 10.48550/arXiv.1107.2132
external_id:
arxiv:
- '1107.2132'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1107.2132
month: '07'
oa: 1
oa_version: Preprint
page: '17'
publication: arXiv
publication_status: submitted
publist_id: '3286'
status: public
title: Magnifying lens abstraction for stochastic games with discounted and long-run
average objectives
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2011'
...
---
_id: '3342'
abstract:
- lang: eng
text: 'We consider Markov decision processes (MDPs) with ω-regular specifications
given as parity objectives. We consider the problem of computing the set of almost-sure
winning states from where the objective can be ensured with probability 1. The
algorithms for the computation of the almost-sure winning set for parity objectives
iteratively use the solutions for the almost-sure winning set for Büchi objectives
(a special case of parity objectives). Our contributions are as follows: First,
we present the first subquadratic symbolic algorithm to compute the almost-sure
winning set for MDPs with Büchi objectives; our algorithm takes O(nm) symbolic
steps as compared to the previous known algorithm that takes O(n 2) symbolic steps,
where n is the number of states and m is the number of edges of the MDP. In practice
MDPs often have constant out-degree, and then our symbolic algorithm takes O(nn) symbolic
steps, as compared to the previous known O(n 2) symbolic steps algorithm. Second,
we present a new algorithm, namely win-lose algorithm, with the following two
properties: (a) the algorithm iteratively computes subsets of the almost-sure
winning set and its complement, as compared to all previous algorithms that discover
the almost-sure winning set upon termination; and (b) requires O(nK) symbolic
steps, where K is the maximal number of edges of strongly connected components
(scc’s) of the MDP. The win-lose algorithm requires symbolic computation of scc’s.
Third, we improve the algorithm for symbolic scc computation; the previous known
algorithm takes linear symbolic steps, and our new algorithm improves the constants
associated with the linear number of steps. In the worst case the previous known
algorithm takes 5·n symbolic steps, whereas our new algorithm takes 4 ·n symbolic
steps.'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Monika H
full_name: Henzinger, Monika H
id: 540c9bbd-f2de-11ec-812d-d04a5be85630
last_name: Henzinger
orcid: 0000-0002-5008-6530
- first_name: Manas
full_name: Joglekar, Manas
last_name: Joglekar
- first_name: Shah
full_name: Nisarg, Shah
last_name: Nisarg
citation:
ama: 'Chatterjee K, Henzinger M, Joglekar M, Nisarg S. Symbolic algorithms for qualitative
analysis of Markov decision processes with Büchi objectives. In: Gopalakrishnan
G, Qadeer S, eds. Vol 6806. Springer; 2011:260-276. doi:10.1007/978-3-642-22110-1_21'
apa: 'Chatterjee, K., Henzinger, M., Joglekar, M., & Nisarg, S. (2011). Symbolic
algorithms for qualitative analysis of Markov decision processes with Büchi objectives.
In G. Gopalakrishnan & S. Qadeer (Eds.) (Vol. 6806, pp. 260–276). Presented
at the CAV: Computer Aided Verification, Snowbird, USA: Springer. https://doi.org/10.1007/978-3-642-22110-1_21'
chicago: Chatterjee, Krishnendu, Monika Henzinger, Manas Joglekar, and Shah Nisarg.
“Symbolic Algorithms for Qualitative Analysis of Markov Decision Processes with
Büchi Objectives.” edited by Ganesh Gopalakrishnan and Shaz Qadeer, 6806:260–76.
Springer, 2011. https://doi.org/10.1007/978-3-642-22110-1_21.
ieee: 'K. Chatterjee, M. Henzinger, M. Joglekar, and S. Nisarg, “Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives,”
presented at the CAV: Computer Aided Verification, Snowbird, USA, 2011, vol. 6806,
pp. 260–276.'
ista: 'Chatterjee K, Henzinger M, Joglekar M, Nisarg S. 2011. Symbolic algorithms
for qualitative analysis of Markov decision processes with Büchi objectives. CAV:
Computer Aided Verification, LNCS, vol. 6806, 260–276.'
mla: Chatterjee, Krishnendu, et al. Symbolic Algorithms for Qualitative Analysis
of Markov Decision Processes with Büchi Objectives. Edited by Ganesh Gopalakrishnan
and Shaz Qadeer, vol. 6806, Springer, 2011, pp. 260–76, doi:10.1007/978-3-642-22110-1_21.
short: K. Chatterjee, M. Henzinger, M. Joglekar, S. Nisarg, in:, G. Gopalakrishnan,
S. Qadeer (Eds.), Springer, 2011, pp. 260–276.
conference:
end_date: 2011-07-20
location: Snowbird, USA
name: 'CAV: Computer Aided Verification'
start_date: 2011-07-14
date_created: 2018-12-11T12:02:47Z
date_published: 2011-08-11T00:00:00Z
date_updated: 2025-09-29T13:50:32Z
day: '11'
department:
- _id: KrCh
doi: 10.1007/978-3-642-22110-1_21
editor:
- first_name: Ganesh
full_name: Gopalakrishnan, Ganesh
last_name: Gopalakrishnan
- first_name: Shaz
full_name: Qadeer, Shaz
last_name: Qadeer
external_id:
arxiv:
- '1104.3348'
intvolume: ' 6806'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1104.3348
month: '08'
oa: 1
oa_version: Preprint
page: 260 - 276
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: '3282'
quality_controlled: '1'
related_material:
record:
- id: '2831'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Symbolic algorithms for qualitative analysis of Markov decision processes with
Büchi objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6806
year: '2011'
...
---
_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 M. 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. (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 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. 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 M. 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 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. 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: 2024-11-06T12:28:50Z
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'
...
---
OA_type: closed access
_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
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
citation:
ama: 'Chatterjee K. Graph games with reachability objectives. In: 5th International
Workshop on Reachability Problems. 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 5th
International Workshop on Reachability Problems (Vol. 6945, pp. 1–1). Genoa,
Italy: Springer. https://doi.org/10.1007/978-3-642-24288-5_1'
chicago: Chatterjee, Krishnendu. “Graph Games with Reachability Objectives.” In
5th International Workshop on Reachability Problems, 6945:1–1. Springer,
2011. https://doi.org/10.1007/978-3-642-24288-5_1.
ieee: K. Chatterjee, “Graph games with reachability objectives,” in 5th International
Workshop on Reachability Problems, Genoa, Italy, 2011, vol. 6945, pp. 1–1.
ista: 'Chatterjee K. 2011. Graph games with reachability objectives. 5th International
Workshop on Reachability Problems. RP: Reachability Problems, LNCS, vol. 6945,
1–1.'
mla: Chatterjee, Krishnendu. “Graph Games with Reachability Objectives.” 5th
International Workshop on Reachability Problems, vol. 6945, Springer, 2011,
pp. 1–1, doi:10.1007/978-3-642-24288-5_1.
short: K. Chatterjee, in:, 5th International Workshop on Reachability Problems,
Springer, 2011, pp. 1–1.
conference:
end_date: 2011-09-30
location: Genoa, Italy
name: 'RP: Reachability Problems'
start_date: 2011-09-28
corr_author: '1'
date_created: 2018-12-11T12:02:47Z
date_published: 2011-10-15T00:00:00Z
date_updated: 2025-05-20T06:00:59Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-24288-5_1
intvolume: ' 6945'
language:
- iso: eng
month: '10'
oa_version: None
page: 1 - 1
publication: 5th International Workshop on Reachability Problems
publication_identifier:
eisbn:
- '9783642242885'
eissn:
- 1611-3349
publication_status: published
publisher: Springer
publist_id: '3277'
quality_controlled: '1'
status: public
title: Graph games with reachability objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6945
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'
article_processing_charge: No
arxiv: 1
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: 2025-09-30T09:07:47Z
day: '21'
department:
- _id: KrCh
doi: 10.1109/LICS.2011.10
ec_funded: 1
external_id:
arxiv:
- '1104.3489'
isi:
- '000297350400006'
isi: 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: 317138e5-6ab7-11ef-aa6d-ffef3953e345
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
corr_author: '1'
date_created: 2018-12-11T12:02:48Z
date_published: 2011-06-16T00:00:00Z
date_updated: 2024-10-09T20:54:28Z
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.
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: 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
corr_author: '1'
date_created: 2018-12-11T12:02:49Z
date_published: 2011-01-31T00:00:00Z
date_updated: 2025-06-11T08:11:56Z
day: '31'
department:
- _id: KrCh
doi: 10.1145/1967701.1967734
external_id:
arxiv:
- '1101.5842'
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: 2DF688A6-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
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: 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
corr_author: '1'
date_created: 2018-12-11T12:02:49Z
date_published: 2011-06-04T00:00:00Z
date_updated: 2025-06-11T08:12:12Z
day: '04'
department:
- _id: KrCh
doi: 10.4204/EPTCS.54.6
external_id:
arxiv:
- '1106.1232'
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2011'
...