45 Search Results for "Dam, Mads"

Volume

LIPIcs, Volume 82

26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

CSL 2017, August 20-24, 2017, Stockholm, Sweden

Editors: Valentin Goranko and Mads Dam

Document
Complete Volume
DOI: 10.4230/LIPIcs.CSL.2017
LIPIcs, Volume 82, CSL'17, Complete Volume

Authors: Valentin Goranko and Mads Dam

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
LIPIcs, Volume 82, CSL'17, Complete Volume
Cite as

Valentin Goranko and Mads Dam. LIPIcs, Volume 82, CSL'17, Complete Volume. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@Proceedings{goranko_et_al:LIPIcs.CSL.2017,
  title =	{{LIPIcs, Volume 82, CSL'17, Complete Volume}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017},
  URN =		{urn:nbn:de:0030-drops-78103},
  doi =		{10.4230/LIPIcs.CSL.2017},
  annote =	{Keywords: Conference Proceedings, Software/Program Verification, Formal Definitions and Theory, Language Constructs and Features, Theory of Computation}
}
Document
Front Matter
DOI: 10.4230/LIPIcs.CSL.2017.0
Front Matter, Table of Contents, Preface, Conference Organization, External Reviewers

Authors: Valentin Goranko and Mads Dam

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

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

Valentin Goranko and Mads Dam. Front Matter, Table of Contents, Preface, Conference Organization, External Reviewers. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 0:i-0:xviii, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{goranko_et_al:LIPIcs.CSL.2017.0,
  author =	{Goranko, Valentin and Dam, Mads},
  title =	{{Front Matter, Table of Contents, Preface, Conference Organization, External Reviewers}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{0:i--0:xviii},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.0},
  URN =		{urn:nbn:de:0030-drops-76671},
  doi =		{10.4230/LIPIcs.CSL.2017.0},
  annote =	{Keywords: Front Matter, Table of Contents, Preface, Conference Organization, External Reviewers}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.1
The Ackermann Award 2017

Authors: Anuj Dawar and Daniel Leivant

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
The Ackermann Award is the EACSL Outstanding Dissertation Award for Logic in Computer Science. It is presented during the annual conference of the EACSL (CSL'xx). This contribution reports on the 2017 edition of the award.
Cite as

Anuj Dawar and Daniel Leivant. The Ackermann Award 2017. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 1:1-1:4, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{dawar_et_al:LIPIcs.CSL.2017.1,
  author =	{Dawar, Anuj and Leivant, Daniel},
  title =	{{The Ackermann Award 2017}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{1:1--1:4},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.1},
  URN =		{urn:nbn:de:0030-drops-76938},
  doi =		{10.4230/LIPIcs.CSL.2017.1},
  annote =	{Keywords: Ackermann Award, jury report, citation}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.2
Schema Mappings: Structural Properties and Limits (Invited Talk)

Authors: Phokion G. Kolaitis

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
A schema mapping is a high-level specification of the relationship between two database schemas. For the past fifteen years, schema mappings have played an essential role in the modeling and analysis of important data inter-operability tasks, such as data exchange and data integration. Syntactically, schema mappings are expressed in some schema-mapping language, which, typically, is a fragment of first-order logic or second-order logic. In the first part of the talk, we will introduce the main schema-mapping languages, will discuss the fundamental structural properties of these languages, and will then use these structural properties to obtain characterizations of various schema-mapping languages in the spirit of abstract model theory. In the second part of the talk, we will examine schema mappings from a dynamic viewpoint by considering sequences of schema mappings and studying the convergence properties of such sequences. To this effect, we will introduce a metric space that is based on a natural notion of distance between sets of database instances and will investigate pointwise limits and uniform limits of sequences of schema mappings. Among other findings, it will turn out that the completion of this metric space can be described in terms of graph limits arising from converging sequences of homomorphism densities.
Cite as

Phokion G. Kolaitis. Schema Mappings: Structural Properties and Limits (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, p. 2:1, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{kolaitis:LIPIcs.CSL.2017.2,
  author =	{Kolaitis, Phokion G.},
  title =	{{Schema Mappings: Structural Properties and Limits}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{2:1--2:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.2},
  URN =		{urn:nbn:de:0030-drops-76707},
  doi =		{10.4230/LIPIcs.CSL.2017.2},
  annote =	{Keywords: logic and databases, schema mappings, data exchange, metric spaces}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.3
First-Order Interpolation and Grey Areas of Proofs (Invited Talk)

Authors: Laura Kovács

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
Interpolation is an important technique in computer aided verification and static analysis of programs. In particular, interpolants extracted from so-called local proofs are used in invariant generation and bounded model checking. An interpolant extracted from such a proof is a boolean combination of formulas occurring in the proof. In this talk we first describe a technique of generating and optimizing interpolants based on transformations of what we call the “grey area” of local proofs. Local changes in proofs can change the extracted interpolant. Our method can describe properties of extracted interpolants obtained by such proof changes as a pseudo-boolean constraint. By optimizing solutions of this constraint we also improve the extracted interpolants. Unlike many other interpolation techniques, our technique is very general and applies to arbitrary theories. Our approach is implemented in the theorem prover Vampire and evaluated on a large number of benchmarks coming from first-order theorem proving and bounded model checking using logic with equality, uninterpreted functions and linear integer arithmetic. Our experiments demonstrate the power of the new techniques: for example, it is not unusual that our proof transformation gives more than a tenfold reduction in the size of interpolants. While local proofs admit efficient interpolation algorithms, standard complete proof systems, such as superposition, for theories having the interpolation property are not necessarily complete for local proofs. In this talk we therefore also investigate interpolant extraction from non-local proofs in the superposition calculus and prove a number of general results about interpolant extraction and complexity of extracted interpolants. In particular, we prove that the number of quantifier alternations in first-order interpolants of formulas without quantifier alternations is unbounded. This result has far-reaching consequences for using local proofs as a foundation for interpolating proof systems - any such proof system should deal with formulas of arbitrary quantifier complexity.
Cite as

Laura Kovács. First-Order Interpolation and Grey Areas of Proofs (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, p. 3:1, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{kovacs:LIPIcs.CSL.2017.3,
  author =	{Kov\'{a}cs, Laura},
  title =	{{First-Order Interpolation and Grey Areas of Proofs}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{3:1--3:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.3},
  URN =		{urn:nbn:de:0030-drops-76912},
  doi =		{10.4230/LIPIcs.CSL.2017.3},
  annote =	{Keywords: theorem proving, interpolation, proof transformations, constraint solving, program analysis}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.4
Current Trends and New Perspectives for First-Order Model Checking (Invited Talk)

Authors: Stephan Kreutzer

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
The model-checking problem for a logic LLL is the problem of decidig for a given formula phi in LLL and structure AA whether the formula is true in the structure, i.e. whether AA models phi. Model-checking for logics such as First-Order Logic (FO) or Monadic Second-Order Logic (MSO) has been studied intensively in the literature, especially in the context of algorithmic meta-theorems within the framework of parameterized complexity. However, in the past the focus of this line of research was model-checking on classes of sparse graphs, e.g. planar graphs, graph classes excluding a minor or classes which are nowhere dense. By now, the complexity of first-order model-checking on sparse classes of graphs is completely understood. Hence, current research now focusses mainly on classes of dense graphs. In this talk we will briefly review the known results on sparse classes of graphs and explain the complete classification of classes of sparse graphs on which first-order model-checking is tractable. In the second part we will then focus on recent and ongoing research analysing the complexity of first-order model-checking on classes of dense graphs.
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Stephan Kreutzer. Current Trends and New Perspectives for First-Order Model Checking (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 4:1-4:5, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{kreutzer:LIPIcs.CSL.2017.4,
  author =	{Kreutzer, Stephan},
  title =	{{Current Trends and New Perspectives for First-Order Model Checking}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{4:1--4:5},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.4},
  URN =		{urn:nbn:de:0030-drops-77095},
  doi =		{10.4230/LIPIcs.CSL.2017.4},
  annote =	{Keywords: Finite Model Theory, Computational Model Theory, Algorithmic Meta Theorems, Model-Checking, Logical Approaches in Graph Theory}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.5
Arithmetic Circuits: An Overview (Invited Talk)

Authors: Meena Mahajan

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
This talk reviews recent developments in algebraic complexity theory. It outlines some major results concerning structure, completeness, closure, and lower bounds. It describes some techniques that have been central to obtaining these results, including extreme depth reduction, partial derivatives, and padding.
Cite as

Meena Mahajan. Arithmetic Circuits: An Overview (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, p. 5:1, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{mahajan:LIPIcs.CSL.2017.5,
  author =	{Mahajan, Meena},
  title =	{{Arithmetic Circuits: An Overview}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{5:1--5:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.5},
  URN =		{urn:nbn:de:0030-drops-76858},
  doi =		{10.4230/LIPIcs.CSL.2017.5},
  annote =	{Keywords: algebraic complexity, circuits, formulas, branching programs, determinant, permanent}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.6
Determinacy of Infinite Games: Perspectives of the Algorithmic Approach (Invited Talk)

Authors: Wolfgang Thomas

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
Determinacy of infinite two-player games is a topic of descriptive set theory that has triggered intensive research in theoretical computer science since 1957 when A. Church formulated his "synthesis problem" (regarding the construction of circuits with infinite behavior from logical specifications). In the first part of the lecture we review the fascinating development of the algorithmic theory of infinite games that was started by Church's problem, that enriched automata theory and related fields, and that led to interesting applications in verification and program synthesis. In the second part we turn to the question how to lift this theory from the case of the Cantor space (where a play is a sequence of bits) to the case of the Baire space (where a play is a sequence of natural numbers). While this step does not involve difficulties in classical descriptive set theory, the algorithmic approach raises non-trivial questions since it requires to consider automata that work over infinite alphabets. We present recent results (joint work with B. Brütsch) that provide a solution of Church's synthesis problem in this context, and we point to numerous questions that are still open.
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Wolfgang Thomas. Determinacy of Infinite Games: Perspectives of the Algorithmic Approach (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, p. 6:1, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{thomas:LIPIcs.CSL.2017.6,
  author =	{Thomas, Wolfgang},
  title =	{{Determinacy of Infinite Games: Perspectives of the Algorithmic Approach}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{6:1--6:1},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.6},
  URN =		{urn:nbn:de:0030-drops-77083},
  doi =		{10.4230/LIPIcs.CSL.2017.6},
  annote =	{Keywords: Infinite games, descriptive set theory, automata theory, transducers, automatic synthesis}
}
Document
Invited Talk
DOI: 10.4230/LIPIcs.CSL.2017.7
Symbolic Automata Theory with Applications (Invited Talk)

Authors: Margus Veanes

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
Symbolic automata extend classic finite state automata by allowing transitions to carry predicates over rich alphabet theories. The key algorithmic difference to classic automata is the ability to efficiently operate over very large or infinite alphabets. In this talk we give an overview of what is currently known about symbolic automata, what their main applications are, and what challenges arise when reasoning about them. We also discuss some of the open problems and research directions in symbolic automata theory.
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Margus Veanes. Symbolic Automata Theory with Applications (Invited Talk). In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 7:1-7:3, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{veanes:LIPIcs.CSL.2017.7,
  author =	{Veanes, Margus},
  title =	{{Symbolic Automata Theory with Applications}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{7:1--7:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.7},
  URN =		{urn:nbn:de:0030-drops-76872},
  doi =		{10.4230/LIPIcs.CSL.2017.7},
  annote =	{Keywords: automaton, transducer, symbolic}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.8
Categorical Structures for Type Theory in Univalent Foundations

Authors: Benedikt Ahrens, Peter LeFanu Lumsdaine, and Vladimir Voevodsky

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
In this paper, we analyze and compare three of the many algebraic structures that have been used for modeling dependent type theories: categories with families, split type-categories, and representable maps of presheaves. We study these in the setting of univalent foundations, where the relationships between them can be stated more transparently. Specifically, we construct maps between the different structures and show that these maps are equivalences under suitable assumptions. We then analyze how these structures transfer along (weak and strong) equivalences of categories, and, in particular, show how they descend from a category (not assumed univalent/saturated) to its Rezk completion. To this end, we introduce relative universes, generalizing the preceding notions, and study the transfer of such relative universes along suitable structure. We work throughout in (intensional) dependent type theory; some results, but not all, assume the univalence axiom. All the material of this paper has been formalized in Coq, over the UniMath library.
Cite as

Benedikt Ahrens, Peter LeFanu Lumsdaine, and Vladimir Voevodsky. Categorical Structures for Type Theory in Univalent Foundations. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 8:1-8:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{ahrens_et_al:LIPIcs.CSL.2017.8,
  author =	{Ahrens, Benedikt and Lumsdaine, Peter LeFanu and Voevodsky, Vladimir},
  title =	{{Categorical Structures for Type Theory in Univalent Foundations}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{8:1--8:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.8},
  URN =		{urn:nbn:de:0030-drops-76960},
  doi =		{10.4230/LIPIcs.CSL.2017.8},
  annote =	{Keywords: Categorical Semantics, Type Theory, Univalence Axiom}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.9
Removing Cycles from Proofs

Authors: Andrea Aler Tubella, Alessio Guglielmi, and Benjamin Ralph

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
If we track atom occurrences in classical propositional proofs in deep inference, we see that they can form cyclic structures between cuts and identity steps. These cycles are an obstacle to a very natural form of normalisation, that simply unfolds all the contractions in a proof. This mechanism, which we call ‘decomposition’, has many points of contact with explicit substitutions in lambda calculi. In the presence of cycles, decomposition does not terminate, and this is an obvious drawback if we want to interpret proofs computationally. One way of eliminating cycles is eliminating cuts. However, we could ask ourselves whether it is possible to eliminate cycles independently of (general) cut elimination. This paper shows an efficient way to do so, therefore establishing the independence of decomposition from cut elimination. In other words, cut elimination in propositional logic can be separated into three separate procedures: 1) cycle elimination, 2) unfolding of contractions, 3) elimination of cuts in the linear fragment.
Cite as

Andrea Aler Tubella, Alessio Guglielmi, and Benjamin Ralph. Removing Cycles from Proofs. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 9:1-9:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{alertubella_et_al:LIPIcs.CSL.2017.9,
  author =	{Aler Tubella, Andrea and Guglielmi, Alessio and Ralph, Benjamin},
  title =	{{Removing Cycles from Proofs}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{9:1--9:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.9},
  URN =		{urn:nbn:de:0030-drops-77008},
  doi =		{10.4230/LIPIcs.CSL.2017.9},
  annote =	{Keywords: proof theory, deep inference, proof complexity}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.10
Query Learning of Derived Omega-Tree Languages in Polynomial Time

Authors: Dana Angluin, Timos Antonopoulos, and Dana Fisman

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
We present the first polynomial time algorithm to learn nontrivial classes of languages of infinite trees. Specifically, our algorithm uses membership and equivalence queries to learn classes of omega-tree languages derived from weak regular omega-word languages in polynomial time. The method is a general polynomial time reduction of learning a class of derived omega-tree languages to learning the underlying class of omega-word languages, for any class of omega-word languages recognized by a deterministic Büchi acceptor. Our reduction, combined with the polynomial time learning algorithm of Maler and Pnueli [Maler and Pneuli, Inform. Comput., 1995] for the class of weak regular omega-word languages yields the main result. We also show that subset queries that return counterexamples can be implemented in polynomial time using subset queries that return no counterexamples for deterministic or non-deterministic finite word acceptors, and deterministic or non-deterministic Büchi omega-word acceptors. A previous claim of an algorithm to learn regular omega-trees due to Jayasrirani, Begam and Thomas [Jayasrirani et al., ICGI, 2008] is unfortunately incorrect, as shown in [Angluin, YALEU/DCS/TR-1528, 2016].
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Dana Angluin, Timos Antonopoulos, and Dana Fisman. Query Learning of Derived Omega-Tree Languages in Polynomial Time. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 10:1-10:21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{angluin_et_al:LIPIcs.CSL.2017.10,
  author =	{Angluin, Dana and Antonopoulos, Timos and Fisman, Dana},
  title =	{{Query Learning of Derived Omega-Tree Languages in Polynomial Time}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{10:1--10:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.10},
  URN =		{urn:nbn:de:0030-drops-77022},
  doi =		{10.4230/LIPIcs.CSL.2017.10},
  annote =	{Keywords: Learning, queries, infinite trees, derived tree languages, reactive systems}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.11
Extending Two-Variable Logic on Trees

Authors: Bartosz Bednarczyk, Witold Charatonik, and Emanuel Kieronski

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
The finite satisfiability problem for the two-variable fragment of first-order logic interpreted over trees was recently shown to be ExpSpace-complete. We consider two extensions of this logic. We show that adding either additional binary symbols or counting quantifiers to the logic does not affect the complexity of the finite satisfiability problem. However, combining the two extensions and adding both binary symbols and counting quantifiers leads to an explosion of this complexity. We also compare the expressive power of the two-variable fragment over trees with its extension with counting quantifiers. It turns out that the two logics are equally expressive, although counting quantifiers do add expressive power in the restricted case of unordered trees.
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Bartosz Bednarczyk, Witold Charatonik, and Emanuel Kieronski. Extending Two-Variable Logic on Trees. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 11:1-11:20, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{bednarczyk_et_al:LIPIcs.CSL.2017.11,
  author =	{Bednarczyk, Bartosz and Charatonik, Witold and Kieronski, Emanuel},
  title =	{{Extending Two-Variable Logic on Trees}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{11:1--11:20},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.11},
  URN =		{urn:nbn:de:0030-drops-76794},
  doi =		{10.4230/LIPIcs.CSL.2017.11},
  annote =	{Keywords: two-variable logic, trees, satisfiability, expressivity, counting quantifiers}
}
Document
DOI: 10.4230/LIPIcs.CSL.2017.12
On the (In)Succinctness of Muller Automata

Authors: Udi Boker

Published in: LIPIcs, Volume 82, 26th EACSL Annual Conference on Computer Science Logic (CSL 2017)

Abstract
There are several types of finite automata on infinite words, differing in their acceptance conditions. As each type has its own advantages, there is an extensive research on the size blowup involved in translating one automaton type to another. Of special interest is the Muller type, providing the most detailed acceptance condition. It turns out that there is inconsistency and incompleteness in the literature results regarding the translations to and from Muller automata. Considering the automaton size, some results take into account, in addition to the number of states, the alphabet length and the number of transitions while ignoring the length of the acceptance condition, whereas other results consider the length of the acceptance condition while ignoring the two other parameters. We establish a full picture of the translations to and from Muller automata, enhancing known results and adding new ones. Overall, Muller automata can be considered less succinct than parity, Rabin, and Streett automata: translating nondeterministic Muller automata to the other nondeterministic types involves a polynomial size blowup, while the other way round is exponential; translating between the deterministic versions is exponential in both directions; and translating nondeterministic automata of all types to deterministic Muller automata is doubly exponential, as opposed to a single exponent in the translations to the other deterministic types.
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Udi Boker. On the (In)Succinctness of Muller Automata. In 26th EACSL Annual Conference on Computer Science Logic (CSL 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 82, pp. 12:1-12:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik (2017)

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@InProceedings{boker:LIPIcs.CSL.2017.12,
  author =	{Boker, Udi},
  title =	{{On the (In)Succinctness of Muller Automata}},
  booktitle =	{26th EACSL Annual Conference on Computer Science Logic (CSL 2017)},
  pages =	{12:1--12:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-045-3},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{82},
  editor =	{Goranko, Valentin and Dam, Mads},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2017.12},
  URN =		{urn:nbn:de:0030-drops-76751},
  doi =		{10.4230/LIPIcs.CSL.2017.12},
  annote =	{Keywords: Automata, Omega-regular languages, Determinization}
}
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