48 Search Results for "Goubault-Larrecq, Jean"

Volume

LIPIcs, Volume 183

29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

CSL 2021, January 25-28, 2021, Ljubljana, Slovenia (Virtual Conference)

Editors: Christel Baier and Jean Goubault-Larrecq

Document
Complete Volume
DOI: 10.4230/LIPIcs.CSL.2021
LIPIcs, Volume 183, CSL 2021, Complete Volume

Authors: Christel Baier and Jean Goubault-Larrecq

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
LIPIcs, Volume 183, CSL 2021, Complete Volume
Cite as

Christel Baier and Jean Goubault-Larrecq. LIPIcs, Volume 183, CSL 2021, Complete Volume. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 1-734, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@Proceedings{baier_et_al:LIPIcs.CSL.2021,
  title =	{{LIPIcs, Volume 183, CSL 2021, Complete Volume}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{1--734},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021},
  URN =		{urn:nbn:de:0030-drops-134339},
  doi =		{10.4230/LIPIcs.CSL.2021},
  annote =	{Keywords: LIPIcs, Volume 183, CSL 2021, Complete Volume}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.CSL.2021.0
Front Matter, Table of Contents, Preface, Conference Organization

Authors: Christel Baier and Jean Goubault-Larrecq

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Front Matter, Table of Contents, Preface, Conference Organization
Cite as

Christel Baier and Jean Goubault-Larrecq. Front Matter, Table of Contents, Preface, Conference Organization. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 0:i-0:xx, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{baier_et_al:LIPIcs.CSL.2021.0,
  author =	{Baier, Christel and Goubault-Larrecq, Jean},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{0:i--0:xx},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.0},
  URN =		{urn:nbn:de:0030-drops-134348},
  doi =		{10.4230/LIPIcs.CSL.2021.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2021.1
μ-Calculi with Atoms (Invited Talk)

Authors: Bartek Klin

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Modal μ-calculus is a well-known formalism for describing properties of state-based transition systems. It can define properties such as "[in the current state] p holds, and there is a path where is holds again at some point in the future", where p comes from some fixed vocabulary of basic predicates. A formula of the classical μ-calculus refers only to finitely many basic predicates, which may sometimes seem restrictive. Real systems routinely operate on data coming from potentially infinite domains, such as numbers or character strings. Basic properties of such systems may reasonably include ones like "the number n was input", for every number n. It is then not clear how to say that "there exists a transition path where the currently input number is input again some time in the future" as a formula. Various modal formalisms have been proposed to model temporal properties of systems that refer to data coming from infinite domains. Here I focus on the modal μ-calculus with atoms, which is an extension of the classical calculus with features of nominal sets. There, basic predicates, formulas and models rely on atoms that come from some fixed infinite domain and can be tested for equality (or, in an extended variant, for some fixed order). I present a few variants of the modal μ-calculus with atoms, and describe their properties. As an example application, I show how to formulate the security property of the cryptographic Needham-Schroeder protocol, which relies on generating atomic nonces and comparing them for equality, and which famously fails due to a man-in-the-middle attack. Much of the material presented in this talk is drawn from [C. Eberhart and B. Klin, 2019; B. Klin and M. Łełyk, 2019; B. Klin and M. Łełyk, 2017].
Cite as

Bartek Klin. μ-Calculi with Atoms (Invited Talk). In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, p. 1:1, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{klin:LIPIcs.CSL.2021.1,
  author =	{Klin, Bartek},
  title =	{{\mu-Calculi with Atoms}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{1:1--1:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.1},
  URN =		{urn:nbn:de:0030-drops-134358},
  doi =		{10.4230/LIPIcs.CSL.2021.1},
  annote =	{Keywords: modal \mu-calculus, sets with atoms}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2021.2
Mathematical Structures in Dependent Type Theory (Invited Talk)

Authors: Assia Mahboubi

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
In this talk, we discuss the role and the implementation of mathematical structures in libraries of formalised mathematics in dependent type theory.
Cite as

Assia Mahboubi. Mathematical Structures in Dependent Type Theory (Invited Talk). In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 2:1-2:3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{mahboubi:LIPIcs.CSL.2021.2,
  author =	{Mahboubi, Assia},
  title =	{{Mathematical Structures in Dependent Type Theory}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{2:1--2:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.2},
  URN =		{urn:nbn:de:0030-drops-134361},
  doi =		{10.4230/LIPIcs.CSL.2021.2},
  annote =	{Keywords: Mathematical structures, formalized mathematics, dependent type theory}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2021.3
Branching in Well-Structured Transition Systems (Invited Talk)

Authors: Sylvain Schmitz

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
The framework of well-structured transition systems has been highly successful in providing generic algorithms to show the decidability of verification problems for infinite-state systems. In some of these applications, the executions in the system at hand are actually trees, and need to be "lifted" to executions over sets of configurations in order to fit in the framework. The downside of this approach is that we might lose precision when analysing the computational complexity of the algorithms, compared to reasoning over branching executions.
Cite as

Sylvain Schmitz. Branching in Well-Structured Transition Systems (Invited Talk). In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 3:1-3:3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{schmitz:LIPIcs.CSL.2021.3,
  author =	{Schmitz, Sylvain},
  title =	{{Branching in Well-Structured Transition Systems}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{3:1--3:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.3},
  URN =		{urn:nbn:de:0030-drops-134377},
  doi =		{10.4230/LIPIcs.CSL.2021.3},
  annote =	{Keywords: fast-growing complexity, well-structured transition system}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2021.4
Borel Sets in Reverse Mathematics (Invited Talk)

Authors: Linda Westrick

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
We present what is known about the reverse mathematical strength of weak theorems involving Borel sets.
Cite as

Linda Westrick. Borel Sets in Reverse Mathematics (Invited Talk). In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 4:1-4:2, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{westrick:LIPIcs.CSL.2021.4,
  author =	{Westrick, Linda},
  title =	{{Borel Sets in Reverse Mathematics}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{4:1--4:2},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.4},
  URN =		{urn:nbn:de:0030-drops-134387},
  doi =		{10.4230/LIPIcs.CSL.2021.4},
  annote =	{Keywords: Borel sets, reverse mathematics, measure, category}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.5
The Logic of Contextuality

Authors: Samson Abramsky and Rui Soares Barbosa

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Contextuality is a key signature of quantum non-classicality, which has been shown to play a central role in enabling quantum advantage for a wide range of information-processing and computational tasks. We study the logic of contextuality from a structural point of view, in the setting of partial Boolean algebras introduced by Kochen and Specker in their seminal work. These contrast with traditional quantum logic à la Birkhoff and von Neumann in that operations such as conjunction and disjunction are partial, only being defined in the domain where they are physically meaningful. We study how this setting relates to current work on contextuality such as the sheaf-theoretic and graph-theoretic approaches. We introduce a general free construction extending the commeasurability relation on a partial Boolean algebra, i.e. the domain of definition of the binary logical operations. This construction has a surprisingly broad range of uses. We apply it in the study of a number of issues, including: - establishing the connection between the abstract measurement scenarios studied in the contextuality literature and the setting of partial Boolean algebras; - formulating various contextuality properties in this setting, including probabilistic contextuality as well as the strong, state-independent notion of contextuality given by Kochen-Specker paradoxes, which are logically contradictory statements validated by partial Boolean algebras, specifically those arising from quantum mechanics; - investigating a Logical Exclusivity Principle, and its relation to the Probabilistic Exclusivity Principle widely studied in recent work on contextuality as a step towards closing in on the set of quantum-realisable correlations; - developing some work towards a logical presentation of the Hilbert space tensor product, using logical exclusivity to capture some of its salient quantum features.
Cite as

Samson Abramsky and Rui Soares Barbosa. The Logic of Contextuality. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 5:1-5:18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{abramsky_et_al:LIPIcs.CSL.2021.5,
  author =	{Abramsky, Samson and Barbosa, Rui Soares},
  title =	{{The Logic of Contextuality}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{5:1--5:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.5},
  URN =		{urn:nbn:de:0030-drops-134394},
  doi =		{10.4230/LIPIcs.CSL.2021.5},
  annote =	{Keywords: partial Boolean algebras, contextuality, exclusivity principles, Kochen-Specker paradoxes, tensor product}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.6
Factorize Factorization

Authors: Beniamino Accattoli, Claudia Faggian, and Giulio Guerrieri

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
We present a new technique for proving factorization theorems for compound rewriting systems in a modular way, which is inspired by the Hindley-Rosen technique for confluence. Specifically, our approach is well adapted to deal with extensions of the call-by-name and call-by-value λ-calculi. The technique is first developed abstractly. We isolate a sufficient condition (called linear swap) for lifting factorization from components to the compound system, and which is compatible with β-reduction. We then closely analyze some common factorization schemas for the λ-calculus. Concretely, we apply our technique to diverse extensions of the λ-calculus, among which de' Liguoro and Piperno’s non-deterministic λ-calculus and - for call-by-value - Carraro and Guerrieri’s shuffling calculus. For both calculi the literature contains factorization theorems. In both cases, we give a new proof which is neat, simpler than the original, and strikingly shorter.
Cite as

Beniamino Accattoli, Claudia Faggian, and Giulio Guerrieri. Factorize Factorization. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 6:1-6:25, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{accattoli_et_al:LIPIcs.CSL.2021.6,
  author =	{Accattoli, Beniamino and Faggian, Claudia and Guerrieri, Giulio},
  title =	{{Factorize Factorization}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{6:1--6:25},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.6},
  URN =		{urn:nbn:de:0030-drops-134407},
  doi =		{10.4230/LIPIcs.CSL.2021.6},
  annote =	{Keywords: Lambda Calculus, Rewriting, Reduction Strategies, Factorization}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.7
The Best a Monitor Can Do

Authors: Luca Aceto, Antonis Achilleos, Adrian Francalanza, Anna Ingólfsdóttir, and Karoliina Lehtinen

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Existing notions of monitorability for branching-time properties are fairly restrictive. This, in turn, impacts the ability to incorporate prior knowledge about the system under scrutiny - which corresponds to a branching-time property - into the runtime analysis. We propose a definition of optimal monitors that verify the best monitorable under- or over-approximation of a specification, regardless of its monitorability status. Optimal monitors can be obtained for arbitrary branching-time properties by synthesising a sound and complete monitor for their strongest monitorable consequence. We show that the strongest monitorable consequence of specifications expressed in Hennessy-Milner logic with recursion is itself expressible in this logic, and present a procedure to find it. Our procedure enables prior knowledge to be optimally incorporated into runtime monitors.
Cite as

Luca Aceto, Antonis Achilleos, Adrian Francalanza, Anna Ingólfsdóttir, and Karoliina Lehtinen. The Best a Monitor Can Do. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 7:1-7:23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{aceto_et_al:LIPIcs.CSL.2021.7,
  author =	{Aceto, Luca and Achilleos, Antonis and Francalanza, Adrian and Ing\'{o}lfsd\'{o}ttir, Anna and Lehtinen, Karoliina},
  title =	{{The Best a Monitor Can Do}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{7:1--7:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.7},
  URN =		{urn:nbn:de:0030-drops-134416},
  doi =		{10.4230/LIPIcs.CSL.2021.7},
  annote =	{Keywords: monitorability, branching-time logics, runtime verification}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.8
Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?

Authors: Luca Aceto, Valentina Castiglioni, Wan Fokkink, Anna Ingólfsdóttir, and Bas Luttik

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Bergstra and Klop have shown that bisimilarity has a finite equational axiomatisation over ACP/CCS extended with the binary left and communication merge operators. Moller proved that auxiliary operators are necessary to obtain a finite axiomatisation of bisimilarity over CCS, and Aceto et al. showed that this remains true when Hennessy’s merge is added to that language. These results raise the question of whether there is one auxiliary binary operator whose addition to CCS leads to a finite axiomatisation of bisimilarity. This study provides a negative answer to that question based on three reasonable assumptions.
Cite as

Luca Aceto, Valentina Castiglioni, Wan Fokkink, Anna Ingólfsdóttir, and Bas Luttik. Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 8:1-8:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{aceto_et_al:LIPIcs.CSL.2021.8,
  author =	{Aceto, Luca and Castiglioni, Valentina and Fokkink, Wan and Ing\'{o}lfsd\'{o}ttir, Anna and Luttik, Bas},
  title =	{{Are Two Binary Operators Necessary to Finitely Axiomatise Parallel Composition?}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{8:1--8:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.8},
  URN =		{urn:nbn:de:0030-drops-134425},
  doi =		{10.4230/LIPIcs.CSL.2021.8},
  annote =	{Keywords: Equational logic, CCS, bisimulation, parallel composition, non-finitely based algebras}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.9
A Quasi-Polynomial Black-Box Algorithm for Fixed Point Evaluation

Authors: André Arnold, Damian Niwiński, and Paweł Parys

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
We consider nested fixed-point expressions like μ z. ν y. μ x. f(x,y,z) evaluated over a finite lattice, and ask how many queries to a function f are needed to find the value. The previous upper bounds for a monotone function f of arity d over the lattice {0,1}ⁿ were of the order n^{𝒪(d)}, whereas a lower bound of Ω(n²/(lg n)) is known in case when at least one alternation between the least (μ) and the greatest (ν) fixed point occurs in the expression. Following a recent development for parity games, we show here that a quasi-polynomial number of queries is sufficient, namely n^{lg(d/lg n)+𝒪(1)}. The algorithm is an abstract version of several algorithms proposed recently by a number of authors, which involve (implicitly or explicitly) the structure of a universal tree. We then show a quasi-polynomial lower bound for the number of queries used by the algorithms in consideration.
Cite as

André Arnold, Damian Niwiński, and Paweł Parys. A Quasi-Polynomial Black-Box Algorithm for Fixed Point Evaluation. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 9:1-9:23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{arnold_et_al:LIPIcs.CSL.2021.9,
  author =	{Arnold, Andr\'{e} and Niwi\'{n}ski, Damian and Parys, Pawe{\l}},
  title =	{{A Quasi-Polynomial Black-Box Algorithm for Fixed Point Evaluation}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{9:1--9:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.9},
  URN =		{urn:nbn:de:0030-drops-134430},
  doi =		{10.4230/LIPIcs.CSL.2021.9},
  annote =	{Keywords: Mu-calculus, Parity games, Quasi-polynomial time, Black-box algorithm}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.10
Learning Concepts Described By Weight Aggregation Logic

Authors: Steffen van Bergerem and Nicole Schweikardt

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
We consider weighted structures, which extend ordinary relational structures by assigning weights, i.e. elements from a particular group or ring, to tuples present in the structure. We introduce an extension of first-order logic that allows to aggregate weights of tuples, compare such aggregates, and use them to build more complex formulas. We provide locality properties of fragments of this logic including Feferman-Vaught decompositions and a Gaifman normal form for a fragment called FOW₁, as well as a localisation theorem for a larger fragment called FOWA₁. This fragment can express concepts from various machine learning scenarios. Using the locality properties, we show that concepts definable in FOWA₁ over a weighted background structure of at most polylogarithmic degree are agnostically PAC-learnable in polylogarithmic time after pseudo-linear time preprocessing.
Cite as

Steffen van Bergerem and Nicole Schweikardt. Learning Concepts Described By Weight Aggregation Logic. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 10:1-10:18, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{vanbergerem_et_al:LIPIcs.CSL.2021.10,
  author =	{van Bergerem, Steffen and Schweikardt, Nicole},
  title =	{{Learning Concepts Described By Weight Aggregation Logic}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{10:1--10:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.10},
  URN =		{urn:nbn:de:0030-drops-134447},
  doi =		{10.4230/LIPIcs.CSL.2021.10},
  annote =	{Keywords: first-order definable concept learning, agnostic probably approximately correct learning, classification problems, locality, Feferman-Vaught decomposition, Gaifman normal form, first-order logic with counting, weight aggregation logic}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.11
Open Bar - a Brouwerian Intuitionistic Logic with a Pinch of Excluded Middle

Authors: Mark Bickford, Liron Cohen, Robert L. Constable, and Vincent Rahli

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
One of the differences between Brouwerian intuitionistic logic and classical logic is their treatment of time. In classical logic truth is atemporal, whereas in intuitionistic logic it is time-relative. Thus, in intuitionistic logic it is possible to acquire new knowledge as time progresses, whereas the classical Law of Excluded Middle (LEM) is essentially flattening the notion of time stating that it is possible to decide whether or not some knowledge will ever be acquired. This paper demonstrates that, nonetheless, the two approaches are not necessarily incompatible by introducing an intuitionistic type theory along with a Beth-like model for it that provide some middle ground. On one hand they incorporate a notion of progressing time and include evolving mathematical entities in the form of choice sequences, and on the other hand they are consistent with a variant of the classical LEM. Accordingly, this new type theory provides the basis for a more classically inclined Brouwerian intuitionistic type theory.
Cite as

Mark Bickford, Liron Cohen, Robert L. Constable, and Vincent Rahli. Open Bar - a Brouwerian Intuitionistic Logic with a Pinch of Excluded Middle. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 11:1-11:23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{bickford_et_al:LIPIcs.CSL.2021.11,
  author =	{Bickford, Mark and Cohen, Liron and Constable, Robert L. and Rahli, Vincent},
  title =	{{Open Bar - a Brouwerian Intuitionistic Logic with a Pinch of Excluded Middle}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{11:1--11:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.11},
  URN =		{urn:nbn:de:0030-drops-134455},
  doi =		{10.4230/LIPIcs.CSL.2021.11},
  annote =	{Keywords: Intuitionism, Extensional type theory, Constructive Type Theory, Realizability, Choice sequences, Classical Logic, Law of Excluded Middle, Theorem proving, Coq}
}
Document
DOI: 10.4230/LIPIcs.CSL.2021.12
Discounted-Sum Automata with Multiple Discount Factors

Authors: Udi Boker and Guy Hefetz

Published in: LIPIcs, Volume 183, 29th EACSL Annual Conference on Computer Science Logic (CSL 2021)

Abstract
Discounting the influence of future events is a key paradigm in economics and it is widely used in computer-science models, such as games, Markov decision processes (MDPs), reinforcement learning, and automata. While a single game or MDP may allow for several different discount factors, discounted-sum automata (NDAs) were only studied with respect to a single discount factor. For every integer λ ∈ ℕ⧵{0,1}, as opposed to every λ ∈ ℚ⧵ℕ, the class of NDAs with discount factor λ (λ-NDAs) has good computational properties: it is closed under determinization and under the algebraic operations min, max, addition, and subtraction, and there are algorithms for its basic decision problems, such as automata equivalence and containment. We define and analyze discounted-sum automata in which each transition can have a different integral discount factor (integral NMDAs). We show that integral NMDAs with an arbitrary choice of discount factors are not closed under determinization and under algebraic operations. We then define and analyze a restricted class of integral NMDAs, which we call tidy NMDAs, in which the choice of discount factors depends on the prefix of the word read so far. Tidy NMDAs are as expressive as deterministic integral NMDAs with an arbitrary choice of discount factors, and some of their special cases are NMDAs in which the discount factor depends on the action (alphabet letter) or on the elapsed time. We show that for every function θ that defines the choice of discount factors, the class of θ-NMDAs enjoys all of the above good properties of integral NDAs, as well as the same complexities of the required decision problems. To this end, we also improve the previously known complexities of the decision problems of integral NDAs, and present tight bounds on the size blow-up involved in algebraic operations on them. All our results hold equally for automata on finite words and for automata on infinite words.
Cite as

Udi Boker and Guy Hefetz. Discounted-Sum Automata with Multiple Discount Factors. In 29th EACSL Annual Conference on Computer Science Logic (CSL 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 183, pp. 12:1-12:23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2021)

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@InProceedings{boker_et_al:LIPIcs.CSL.2021.12,
  author =	{Boker, Udi and Hefetz, Guy},
  title =	{{Discounted-Sum Automata with Multiple Discount Factors}},
  booktitle =	{29th EACSL Annual Conference on Computer Science Logic (CSL 2021)},
  pages =	{12:1--12:23},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-175-7},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{183},
  editor =	{Baier, Christel and Goubault-Larrecq, Jean},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2021.12},
  URN =		{urn:nbn:de:0030-drops-134468},
  doi =		{10.4230/LIPIcs.CSL.2021.12},
  annote =	{Keywords: Automata, Discounted-sum, Quantitative verification, NMDA, NDA}
}
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