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Documents authored by Holík, Lukás


Found 3 Possible Name Variants:

Holík, Lukáš

Document
Cooking String-Integer Conversions with Noodles

Authors: Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We propose a method for efficient handling string constraints with string-integer conversions. It extends the recently introduced stabilization-based procedure for solving string (dis)equations with regular and length constraints. Our approach is to translate the conversions into a linear integer arithmetic formula, together with regular constraints and word equations. We have integrated it into the string solver Z3-Noodler, and our experiments show that it is competitive and on some established benchmarks even several orders of magnitude faster than the state of the art.

Cite as

Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč. Cooking String-Integer Conversions with Noodles. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 14:1-14:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{havlena_et_al:LIPIcs.SAT.2024.14,
  author =	{Havlena, Vojt\v{e}ch and Hol{\'\i}k, Luk\'{a}\v{s} and Leng\'{a}l, Ond\v{r}ej and S{\'\i}\v{c}, Juraj},
  title =	{{Cooking String-Integer Conversions with Noodles}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{14:1--14:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.14},
  URN =		{urn:nbn:de:0030-drops-205365},
  doi =		{10.4230/LIPIcs.SAT.2024.14},
  annote =	{Keywords: string solving, string conversions, SMT solving}
}
Document
Antichain with SAT and Tries

Authors: Lukáš Holík and Pavol Vargovčík

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We introduce a SAT-enabled version of an antichain algorithm for checking language emptiness of alternating finite automata (AFA) with complex transition relations encoded as compact logical formulae. The SAT solver is used to compute predecessors of AFA configurations, and at the same time, to evaluate the subsumption of newly found configurations in the antichain of the previously found ones. The algorithm could be naively implemented by an incremental SAT solver where the growing antichain is represented by adding new clauses. To make it efficient, we 1) force the SAT solver to prioritize largest/subsumption-strongest predecessors (so that weaker configurations are not even generated), and 2) store the antichain clauses in a special variant of a trie that allows fast subsumption testing. The experimental results suggest that the resulting emptiness checker is very efficient compared to the state of the art and that our techniques improve the performance of the SAT solver.

Cite as

Lukáš Holík and Pavol Vargovčík. Antichain with SAT and Tries. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 15:1-15:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{holik_et_al:LIPIcs.SAT.2024.15,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Vargov\v{c}{\'\i}k, Pavol},
  title =	{{Antichain with SAT and Tries}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{15:1--15:24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.15},
  URN =		{urn:nbn:de:0030-drops-205372},
  doi =		{10.4230/LIPIcs.SAT.2024.15},
  annote =	{Keywords: SAT, Trie, Antichain, Alternating automata, Subset query}
}
Document
Artifact
Low-Level Bi-Abduction (Artifact)

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: DARTS, Volume 8, Issue 2, Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
Broom is a new static analyzer for C written in OCaml. Broom primarily aims at open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. It is based on separation logic and the principle of bi-abductive reasoning. The artifact is a VirtualBox image of a Linux machine with Ubuntu 20.04 operating system. It contains source code and binary of the Broom tool, benchmarks, and scripts for running our and the competing tools we compare to.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction (Artifact). In Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022). Dagstuhl Artifacts Series (DARTS), Volume 8, Issue 2, pp. 11:1-11:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@Article{holik_et_al:DARTS.8.2.11,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction (Artifact)}},
  pages =	{11:1--11:6},
  journal =	{Dagstuhl Artifacts Series},
  ISSN =	{2509-8195},
  year =	{2022},
  volume =	{8},
  number =	{2},
  editor =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DARTS.8.2.11},
  URN =		{urn:nbn:de:0030-drops-162092},
  doi =		{10.4230/DARTS.8.2.11},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Low-Level Bi-Abduction

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: LIPIcs, Volume 222, 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
The paper proposes a new static analysis designed to handle open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. The goal is to allow such programs be analysed without a need of writing analysis harnesses that would first initialise the structures being handled. The approach builds on a special flavour of separation logic and the approach of bi-abduction. The code of interest is analyzed along the call tree, starting from its leaves, with each function analysed just once without any call context, leading to a set of contracts summarizing the behaviour of the analysed functions. In order to handle the considered programs, methods of abduction existing in the literature are significantly modified and extended in the paper. The proposed approach has been implemented in a tool prototype and successfully evaluated on not large but complex programs.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction. In 36th European Conference on Object-Oriented Programming (ECOOP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 222, pp. 19:1-19:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{holik_et_al:LIPIcs.ECOOP.2022.19,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction}},
  booktitle =	{36th European Conference on Object-Oriented Programming (ECOOP 2022)},
  pages =	{19:1--19:30},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-225-9},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{222},
  editor =	{Ali, Karim and Vitek, Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2022.19},
  URN =		{urn:nbn:de:0030-drops-162477},
  doi =		{10.4230/LIPIcs.ECOOP.2022.19},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Summaries for Context-Free Games

Authors: Lukás Holík, Roland Meyer, and Sebastian Muskalla

Published in: LIPIcs, Volume 65, 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)


Abstract
We study two-player games played on the infinite graph of sentential forms induced by a context-free grammar (that comes with an ownership partitioning of the non-terminals). The winning condition is inclusion of the derived terminal word in the language of a finite automaton. Our contribution is a new algorithm to decide the winning player and to compute her strategy. It is based on a novel representation of all plays starting in a non-terminal. The representation uses the domain of Boolean formulas over the transition monoid of the target automaton. The elements of the monoid are essentially procedure summaries, and our approach can be seen as the first summary-based algorithm for the synthesis of recursive programs. We show that our algorithm has optimal (doubly exponential) time complexity, that it is compatible with recent antichain optimizations, and that it admits a lazy evaluation strategy. Our preliminary experiments indeed show encouraging results, indicating a speed up of three orders of magnitude over a competitor.

Cite as

Lukás Holík, Roland Meyer, and Sebastian Muskalla. Summaries for Context-Free Games. In 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 65, pp. 41:1-41:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{holik_et_al:LIPIcs.FSTTCS.2016.41,
  author =	{Hol{\'\i}k, Luk\'{a}s and Meyer, Roland and Muskalla, Sebastian},
  title =	{{Summaries for Context-Free Games}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{41:1--41:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Lal, Akash and Akshay, S. and Saurabh, Saket and Sen, Sandeep},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2016.41},
  URN =		{urn:nbn:de:0030-drops-68763},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.41},
  annote =	{Keywords: summaries, context-free games, Kleene iteration, transition monoid, strategy synthesis}
}
Document
Invited Paper
View Abstraction – A Tutorial (Invited Paper)

Authors: Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík

Published in: OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015)


Abstract
We consider parameterized verification, i.e., proving correctness of a system with an unbounded number of processes. We describe the method of view abstraction whose aim is to provide a small model property, i.e., showing correctness by only inspecting instances of the system consisting of a small fixed number of processes. We illustrate the method through an application to the classical Burns' mutual exclusion protocol.

Cite as

Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík. View Abstraction – A Tutorial (Invited Paper). In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@InProceedings{abdulla_et_al:OASIcs.SynCoP.2015.1,
  author =	{Abdulla, Parosh A. and Haziza, Fr\'{e}deric and Hol{\'\i}k, Luk\'{a}\v{s}},
  title =	{{View Abstraction – A Tutorial}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{1--15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{Andr\'{e}, \'{E}tienne and Frehse, Goran},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.1},
  URN =		{urn:nbn:de:0030-drops-56057},
  doi =		{10.4230/OASIcs.SynCoP.2015.1},
  annote =	{Keywords: program verification, model checking, parameterized systems}
}
Document
Mediating for Reduction (on Minimizing Alternating Büchi Automata)

Authors: Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar

Published in: LIPIcs, Volume 4, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (2009)


Abstract
We propose a new approach for minimizing alternating B\"uchi automata (ABA). The approach is based on the so called \emph{mediated equivalence} on states of ABA, which is the maximal equivalence contained in the so called \emph{mediated preorder}. Two states $p$ and $q$ can be related by the mediated preorder if there is a~\emph{mediator} (mediating state) which forward simulates $p$ and backward simulates $q$. Under some further conditions, letting a computation on some word jump from $q$ to $p$ (due to they get collapsed) preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much more significant reductions when applied within the process of complementing B\"uchi automata where ABA are used as an intermediate model.

Cite as

Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar. Mediating for Reduction (on Minimizing Alternating Büchi Automata). In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 4, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{abdulla_et_al:LIPIcs.FSTTCS.2009.2302,
  author =	{Abdulla, Parosh A. and Chen, Yu-Fang and Holik, Lukas and Vojnar, Tomas},
  title =	{{Mediating for Reduction (on Minimizing Alternating B\"{u}chi Automata)}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{1--12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Kannan, Ravi and Narayan Kumar, K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2302},
  URN =		{urn:nbn:de:0030-drops-23027},
  doi =		{10.4230/LIPIcs.FSTTCS.2009.2302},
  annote =	{Keywords: Alternating Automata, Buchi Automata, Automata Minimization, Buchi Automata Complementation, Simulation Preorder, forward and backward simulation, mediated equivalence}
}

Holik, Lukas

Document
Cooking String-Integer Conversions with Noodles

Authors: Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We propose a method for efficient handling string constraints with string-integer conversions. It extends the recently introduced stabilization-based procedure for solving string (dis)equations with regular and length constraints. Our approach is to translate the conversions into a linear integer arithmetic formula, together with regular constraints and word equations. We have integrated it into the string solver Z3-Noodler, and our experiments show that it is competitive and on some established benchmarks even several orders of magnitude faster than the state of the art.

Cite as

Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč. Cooking String-Integer Conversions with Noodles. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 14:1-14:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{havlena_et_al:LIPIcs.SAT.2024.14,
  author =	{Havlena, Vojt\v{e}ch and Hol{\'\i}k, Luk\'{a}\v{s} and Leng\'{a}l, Ond\v{r}ej and S{\'\i}\v{c}, Juraj},
  title =	{{Cooking String-Integer Conversions with Noodles}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{14:1--14:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.14},
  URN =		{urn:nbn:de:0030-drops-205365},
  doi =		{10.4230/LIPIcs.SAT.2024.14},
  annote =	{Keywords: string solving, string conversions, SMT solving}
}
Document
Antichain with SAT and Tries

Authors: Lukáš Holík and Pavol Vargovčík

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We introduce a SAT-enabled version of an antichain algorithm for checking language emptiness of alternating finite automata (AFA) with complex transition relations encoded as compact logical formulae. The SAT solver is used to compute predecessors of AFA configurations, and at the same time, to evaluate the subsumption of newly found configurations in the antichain of the previously found ones. The algorithm could be naively implemented by an incremental SAT solver where the growing antichain is represented by adding new clauses. To make it efficient, we 1) force the SAT solver to prioritize largest/subsumption-strongest predecessors (so that weaker configurations are not even generated), and 2) store the antichain clauses in a special variant of a trie that allows fast subsumption testing. The experimental results suggest that the resulting emptiness checker is very efficient compared to the state of the art and that our techniques improve the performance of the SAT solver.

Cite as

Lukáš Holík and Pavol Vargovčík. Antichain with SAT and Tries. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 15:1-15:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{holik_et_al:LIPIcs.SAT.2024.15,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Vargov\v{c}{\'\i}k, Pavol},
  title =	{{Antichain with SAT and Tries}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{15:1--15:24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.15},
  URN =		{urn:nbn:de:0030-drops-205372},
  doi =		{10.4230/LIPIcs.SAT.2024.15},
  annote =	{Keywords: SAT, Trie, Antichain, Alternating automata, Subset query}
}
Document
Artifact
Low-Level Bi-Abduction (Artifact)

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: DARTS, Volume 8, Issue 2, Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
Broom is a new static analyzer for C written in OCaml. Broom primarily aims at open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. It is based on separation logic and the principle of bi-abductive reasoning. The artifact is a VirtualBox image of a Linux machine with Ubuntu 20.04 operating system. It contains source code and binary of the Broom tool, benchmarks, and scripts for running our and the competing tools we compare to.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction (Artifact). In Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022). Dagstuhl Artifacts Series (DARTS), Volume 8, Issue 2, pp. 11:1-11:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@Article{holik_et_al:DARTS.8.2.11,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction (Artifact)}},
  pages =	{11:1--11:6},
  journal =	{Dagstuhl Artifacts Series},
  ISSN =	{2509-8195},
  year =	{2022},
  volume =	{8},
  number =	{2},
  editor =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DARTS.8.2.11},
  URN =		{urn:nbn:de:0030-drops-162092},
  doi =		{10.4230/DARTS.8.2.11},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Low-Level Bi-Abduction

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: LIPIcs, Volume 222, 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
The paper proposes a new static analysis designed to handle open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. The goal is to allow such programs be analysed without a need of writing analysis harnesses that would first initialise the structures being handled. The approach builds on a special flavour of separation logic and the approach of bi-abduction. The code of interest is analyzed along the call tree, starting from its leaves, with each function analysed just once without any call context, leading to a set of contracts summarizing the behaviour of the analysed functions. In order to handle the considered programs, methods of abduction existing in the literature are significantly modified and extended in the paper. The proposed approach has been implemented in a tool prototype and successfully evaluated on not large but complex programs.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction. In 36th European Conference on Object-Oriented Programming (ECOOP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 222, pp. 19:1-19:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{holik_et_al:LIPIcs.ECOOP.2022.19,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction}},
  booktitle =	{36th European Conference on Object-Oriented Programming (ECOOP 2022)},
  pages =	{19:1--19:30},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-225-9},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{222},
  editor =	{Ali, Karim and Vitek, Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2022.19},
  URN =		{urn:nbn:de:0030-drops-162477},
  doi =		{10.4230/LIPIcs.ECOOP.2022.19},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Summaries for Context-Free Games

Authors: Lukás Holík, Roland Meyer, and Sebastian Muskalla

Published in: LIPIcs, Volume 65, 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)


Abstract
We study two-player games played on the infinite graph of sentential forms induced by a context-free grammar (that comes with an ownership partitioning of the non-terminals). The winning condition is inclusion of the derived terminal word in the language of a finite automaton. Our contribution is a new algorithm to decide the winning player and to compute her strategy. It is based on a novel representation of all plays starting in a non-terminal. The representation uses the domain of Boolean formulas over the transition monoid of the target automaton. The elements of the monoid are essentially procedure summaries, and our approach can be seen as the first summary-based algorithm for the synthesis of recursive programs. We show that our algorithm has optimal (doubly exponential) time complexity, that it is compatible with recent antichain optimizations, and that it admits a lazy evaluation strategy. Our preliminary experiments indeed show encouraging results, indicating a speed up of three orders of magnitude over a competitor.

Cite as

Lukás Holík, Roland Meyer, and Sebastian Muskalla. Summaries for Context-Free Games. In 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 65, pp. 41:1-41:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{holik_et_al:LIPIcs.FSTTCS.2016.41,
  author =	{Hol{\'\i}k, Luk\'{a}s and Meyer, Roland and Muskalla, Sebastian},
  title =	{{Summaries for Context-Free Games}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{41:1--41:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Lal, Akash and Akshay, S. and Saurabh, Saket and Sen, Sandeep},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2016.41},
  URN =		{urn:nbn:de:0030-drops-68763},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.41},
  annote =	{Keywords: summaries, context-free games, Kleene iteration, transition monoid, strategy synthesis}
}
Document
Invited Paper
View Abstraction – A Tutorial (Invited Paper)

Authors: Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík

Published in: OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015)


Abstract
We consider parameterized verification, i.e., proving correctness of a system with an unbounded number of processes. We describe the method of view abstraction whose aim is to provide a small model property, i.e., showing correctness by only inspecting instances of the system consisting of a small fixed number of processes. We illustrate the method through an application to the classical Burns' mutual exclusion protocol.

Cite as

Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík. View Abstraction – A Tutorial (Invited Paper). In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@InProceedings{abdulla_et_al:OASIcs.SynCoP.2015.1,
  author =	{Abdulla, Parosh A. and Haziza, Fr\'{e}deric and Hol{\'\i}k, Luk\'{a}\v{s}},
  title =	{{View Abstraction – A Tutorial}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{1--15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{Andr\'{e}, \'{E}tienne and Frehse, Goran},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.1},
  URN =		{urn:nbn:de:0030-drops-56057},
  doi =		{10.4230/OASIcs.SynCoP.2015.1},
  annote =	{Keywords: program verification, model checking, parameterized systems}
}
Document
Mediating for Reduction (on Minimizing Alternating Büchi Automata)

Authors: Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar

Published in: LIPIcs, Volume 4, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (2009)


Abstract
We propose a new approach for minimizing alternating B\"uchi automata (ABA). The approach is based on the so called \emph{mediated equivalence} on states of ABA, which is the maximal equivalence contained in the so called \emph{mediated preorder}. Two states $p$ and $q$ can be related by the mediated preorder if there is a~\emph{mediator} (mediating state) which forward simulates $p$ and backward simulates $q$. Under some further conditions, letting a computation on some word jump from $q$ to $p$ (due to they get collapsed) preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much more significant reductions when applied within the process of complementing B\"uchi automata where ABA are used as an intermediate model.

Cite as

Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar. Mediating for Reduction (on Minimizing Alternating Büchi Automata). In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 4, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{abdulla_et_al:LIPIcs.FSTTCS.2009.2302,
  author =	{Abdulla, Parosh A. and Chen, Yu-Fang and Holik, Lukas and Vojnar, Tomas},
  title =	{{Mediating for Reduction (on Minimizing Alternating B\"{u}chi Automata)}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{1--12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Kannan, Ravi and Narayan Kumar, K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2302},
  URN =		{urn:nbn:de:0030-drops-23027},
  doi =		{10.4230/LIPIcs.FSTTCS.2009.2302},
  annote =	{Keywords: Alternating Automata, Buchi Automata, Automata Minimization, Buchi Automata Complementation, Simulation Preorder, forward and backward simulation, mediated equivalence}
}

Holík, Lukás

Document
Cooking String-Integer Conversions with Noodles

Authors: Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We propose a method for efficient handling string constraints with string-integer conversions. It extends the recently introduced stabilization-based procedure for solving string (dis)equations with regular and length constraints. Our approach is to translate the conversions into a linear integer arithmetic formula, together with regular constraints and word equations. We have integrated it into the string solver Z3-Noodler, and our experiments show that it is competitive and on some established benchmarks even several orders of magnitude faster than the state of the art.

Cite as

Vojtěch Havlena, Lukáš Holík, Ondřej Lengál, and Juraj Síč. Cooking String-Integer Conversions with Noodles. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 14:1-14:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{havlena_et_al:LIPIcs.SAT.2024.14,
  author =	{Havlena, Vojt\v{e}ch and Hol{\'\i}k, Luk\'{a}\v{s} and Leng\'{a}l, Ond\v{r}ej and S{\'\i}\v{c}, Juraj},
  title =	{{Cooking String-Integer Conversions with Noodles}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{14:1--14:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.14},
  URN =		{urn:nbn:de:0030-drops-205365},
  doi =		{10.4230/LIPIcs.SAT.2024.14},
  annote =	{Keywords: string solving, string conversions, SMT solving}
}
Document
Antichain with SAT and Tries

Authors: Lukáš Holík and Pavol Vargovčík

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
We introduce a SAT-enabled version of an antichain algorithm for checking language emptiness of alternating finite automata (AFA) with complex transition relations encoded as compact logical formulae. The SAT solver is used to compute predecessors of AFA configurations, and at the same time, to evaluate the subsumption of newly found configurations in the antichain of the previously found ones. The algorithm could be naively implemented by an incremental SAT solver where the growing antichain is represented by adding new clauses. To make it efficient, we 1) force the SAT solver to prioritize largest/subsumption-strongest predecessors (so that weaker configurations are not even generated), and 2) store the antichain clauses in a special variant of a trie that allows fast subsumption testing. The experimental results suggest that the resulting emptiness checker is very efficient compared to the state of the art and that our techniques improve the performance of the SAT solver.

Cite as

Lukáš Holík and Pavol Vargovčík. Antichain with SAT and Tries. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 15:1-15:24, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{holik_et_al:LIPIcs.SAT.2024.15,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Vargov\v{c}{\'\i}k, Pavol},
  title =	{{Antichain with SAT and Tries}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{15:1--15:24},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.15},
  URN =		{urn:nbn:de:0030-drops-205372},
  doi =		{10.4230/LIPIcs.SAT.2024.15},
  annote =	{Keywords: SAT, Trie, Antichain, Alternating automata, Subset query}
}
Document
Artifact
Low-Level Bi-Abduction (Artifact)

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: DARTS, Volume 8, Issue 2, Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
Broom is a new static analyzer for C written in OCaml. Broom primarily aims at open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. It is based on separation logic and the principle of bi-abductive reasoning. The artifact is a VirtualBox image of a Linux machine with Ubuntu 20.04 operating system. It contains source code and binary of the Broom tool, benchmarks, and scripts for running our and the competing tools we compare to.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction (Artifact). In Special Issue of the 36th European Conference on Object-Oriented Programming (ECOOP 2022). Dagstuhl Artifacts Series (DARTS), Volume 8, Issue 2, pp. 11:1-11:6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@Article{holik_et_al:DARTS.8.2.11,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction (Artifact)}},
  pages =	{11:1--11:6},
  journal =	{Dagstuhl Artifacts Series},
  ISSN =	{2509-8195},
  year =	{2022},
  volume =	{8},
  number =	{2},
  editor =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DARTS.8.2.11},
  URN =		{urn:nbn:de:0030-drops-162092},
  doi =		{10.4230/DARTS.8.2.11},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Low-Level Bi-Abduction

Authors: Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger

Published in: LIPIcs, Volume 222, 36th European Conference on Object-Oriented Programming (ECOOP 2022)


Abstract
The paper proposes a new static analysis designed to handle open programs, i.e., fragments of programs, with dynamic pointer-linked data structures - in particular, various kinds of lists - that employ advanced low-level pointer operations. The goal is to allow such programs be analysed without a need of writing analysis harnesses that would first initialise the structures being handled. The approach builds on a special flavour of separation logic and the approach of bi-abduction. The code of interest is analyzed along the call tree, starting from its leaves, with each function analysed just once without any call context, leading to a set of contracts summarizing the behaviour of the analysed functions. In order to handle the considered programs, methods of abduction existing in the literature are significantly modified and extended in the paper. The proposed approach has been implemented in a tool prototype and successfully evaluated on not large but complex programs.

Cite as

Lukáš Holík, Petr Peringer, Adam Rogalewicz, Veronika Šoková, Tomáš Vojnar, and Florian Zuleger. Low-Level Bi-Abduction. In 36th European Conference on Object-Oriented Programming (ECOOP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 222, pp. 19:1-19:30, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{holik_et_al:LIPIcs.ECOOP.2022.19,
  author =	{Hol{\'\i}k, Luk\'{a}\v{s} and Peringer, Petr and Rogalewicz, Adam and \v{S}okov\'{a}, Veronika and Vojnar, Tom\'{a}\v{s} and Zuleger, Florian},
  title =	{{Low-Level Bi-Abduction}},
  booktitle =	{36th European Conference on Object-Oriented Programming (ECOOP 2022)},
  pages =	{19:1--19:30},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-225-9},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{222},
  editor =	{Ali, Karim and Vitek, Jan},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ECOOP.2022.19},
  URN =		{urn:nbn:de:0030-drops-162477},
  doi =		{10.4230/LIPIcs.ECOOP.2022.19},
  annote =	{Keywords: programs with dynamic linked data structures, programs with pointers, low-level pointer operations, static analysis, shape analysis, separation logic, bi-abduction}
}
Document
Summaries for Context-Free Games

Authors: Lukás Holík, Roland Meyer, and Sebastian Muskalla

Published in: LIPIcs, Volume 65, 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)


Abstract
We study two-player games played on the infinite graph of sentential forms induced by a context-free grammar (that comes with an ownership partitioning of the non-terminals). The winning condition is inclusion of the derived terminal word in the language of a finite automaton. Our contribution is a new algorithm to decide the winning player and to compute her strategy. It is based on a novel representation of all plays starting in a non-terminal. The representation uses the domain of Boolean formulas over the transition monoid of the target automaton. The elements of the monoid are essentially procedure summaries, and our approach can be seen as the first summary-based algorithm for the synthesis of recursive programs. We show that our algorithm has optimal (doubly exponential) time complexity, that it is compatible with recent antichain optimizations, and that it admits a lazy evaluation strategy. Our preliminary experiments indeed show encouraging results, indicating a speed up of three orders of magnitude over a competitor.

Cite as

Lukás Holík, Roland Meyer, and Sebastian Muskalla. Summaries for Context-Free Games. In 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 65, pp. 41:1-41:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{holik_et_al:LIPIcs.FSTTCS.2016.41,
  author =	{Hol{\'\i}k, Luk\'{a}s and Meyer, Roland and Muskalla, Sebastian},
  title =	{{Summaries for Context-Free Games}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{41:1--41:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Lal, Akash and Akshay, S. and Saurabh, Saket and Sen, Sandeep},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2016.41},
  URN =		{urn:nbn:de:0030-drops-68763},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.41},
  annote =	{Keywords: summaries, context-free games, Kleene iteration, transition monoid, strategy synthesis}
}
Document
Invited Paper
View Abstraction – A Tutorial (Invited Paper)

Authors: Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík

Published in: OASIcs, Volume 44, 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15) (2015)


Abstract
We consider parameterized verification, i.e., proving correctness of a system with an unbounded number of processes. We describe the method of view abstraction whose aim is to provide a small model property, i.e., showing correctness by only inspecting instances of the system consisting of a small fixed number of processes. We illustrate the method through an application to the classical Burns' mutual exclusion protocol.

Cite as

Parosh A. Abdulla, Fréderic Haziza, and Lukáš Holík. View Abstraction – A Tutorial (Invited Paper). In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 1-15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015)


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@InProceedings{abdulla_et_al:OASIcs.SynCoP.2015.1,
  author =	{Abdulla, Parosh A. and Haziza, Fr\'{e}deric and Hol{\'\i}k, Luk\'{a}\v{s}},
  title =	{{View Abstraction – A Tutorial}},
  booktitle =	{2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15)},
  pages =	{1--15},
  series =	{Open Access Series in Informatics (OASIcs)},
  ISBN =	{978-3-939897-82-8},
  ISSN =	{2190-6807},
  year =	{2015},
  volume =	{44},
  editor =	{Andr\'{e}, \'{E}tienne and Frehse, Goran},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SynCoP.2015.1},
  URN =		{urn:nbn:de:0030-drops-56057},
  doi =		{10.4230/OASIcs.SynCoP.2015.1},
  annote =	{Keywords: program verification, model checking, parameterized systems}
}
Document
Mediating for Reduction (on Minimizing Alternating Büchi Automata)

Authors: Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar

Published in: LIPIcs, Volume 4, IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (2009)


Abstract
We propose a new approach for minimizing alternating B\"uchi automata (ABA). The approach is based on the so called \emph{mediated equivalence} on states of ABA, which is the maximal equivalence contained in the so called \emph{mediated preorder}. Two states $p$ and $q$ can be related by the mediated preorder if there is a~\emph{mediator} (mediating state) which forward simulates $p$ and backward simulates $q$. Under some further conditions, letting a computation on some word jump from $q$ to $p$ (due to they get collapsed) preserves the language as the automaton can anyway already accept the word without jumps by runs through the mediator. We further show how the mediated equivalence can be computed efficiently. Finally, we show that, compared to the standard forward simulation equivalence, the mediated equivalence can yield much more significant reductions when applied within the process of complementing B\"uchi automata where ABA are used as an intermediate model.

Cite as

Parosh A. Abdulla, Yu-Fang Chen, Lukas Holik, and Tomas Vojnar. Mediating for Reduction (on Minimizing Alternating Büchi Automata). In IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 4, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2009)


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@InProceedings{abdulla_et_al:LIPIcs.FSTTCS.2009.2302,
  author =	{Abdulla, Parosh A. and Chen, Yu-Fang and Holik, Lukas and Vojnar, Tomas},
  title =	{{Mediating for Reduction (on Minimizing Alternating B\"{u}chi Automata)}},
  booktitle =	{IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science},
  pages =	{1--12},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-13-2},
  ISSN =	{1868-8969},
  year =	{2009},
  volume =	{4},
  editor =	{Kannan, Ravi and Narayan Kumar, K.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2009.2302},
  URN =		{urn:nbn:de:0030-drops-23027},
  doi =		{10.4230/LIPIcs.FSTTCS.2009.2302},
  annote =	{Keywords: Alternating Automata, Buchi Automata, Automata Minimization, Buchi Automata Complementation, Simulation Preorder, forward and backward simulation, mediated equivalence}
}
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