17 Search Results for "Selivanov, Victor"

Document
DOI: 10.4230/DagRep.11.10.72
Descriptive Set Theory and Computable Topology (Dagstuhl Seminar 21461)

Authors: Mathieu Hoyrup, Arno Pauly, Victor Selivanov, and Mariya I. Soskova

Published in: Dagstuhl Reports, Volume 11, Issue 10 (2022)

Abstract
Computability and continuity are closely linked - in fact, continuity can be seen as computability relative to an arbitrary oracle. As such, concepts from topology and descriptive set theory feature heavily in the foundations of computable analysis. Conversely, techniques developed in computability theory can be fruitfully employed in topology and descriptive set theory, even if the desired results mention no computability at all. In this Dagstuhl Seminar, we brought together researchers from computable analysis, from classical computability theory, from descriptive set theory, formal topology, and other relevant areas. Our goals were to identify key open questions related to this interplay, to exploit synergies between the areas and to intensify collaboration between the relevant communities.
Cite as

Mathieu Hoyrup, Arno Pauly, Victor Selivanov, and Mariya I. Soskova. Descriptive Set Theory and Computable Topology (Dagstuhl Seminar 21461). In Dagstuhl Reports, Volume 11, Issue 10, pp. 72-93, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)

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@Article{hoyrup_et_al:DagRep.11.10.72,
  author =	{Hoyrup, Mathieu and Pauly, Arno and Selivanov, Victor and Soskova, Mariya I.},
  title =	{{Descriptive Set Theory and Computable Topology (Dagstuhl Seminar 21461)}},
  pages =	{72--93},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2022},
  volume =	{11},
  number =	{10},
  editor =	{Hoyrup, Mathieu and Pauly, Arno and Selivanov, Victor and Soskova, Mariya I.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.11.10.72},
  URN =		{urn:nbn:de:0030-drops-159293},
  doi =		{10.4230/DagRep.11.10.72},
  annote =	{Keywords: computable analysis, enumeration degrees, quasi-polish spaces, synthetic topology}
}
Document
DOI: 10.4230/LIPIcs.STACS.2020.8
Descriptive Complexity on Non-Polish Spaces

Authors: Antonin Callard and Mathieu Hoyrup

Published in: LIPIcs, Volume 154, 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)

Abstract
Represented spaces are the spaces on which computations can be performed. We investigate the descriptive complexity of sets in represented spaces. We prove that the standard representation of a countably-based space preserves the effective descriptive complexity of sets. We prove that some results from descriptive set theory on Polish spaces extend to arbitrary countably-based spaces. We study the larger class of coPolish spaces, showing that their representation does not always preserve the complexity of sets, and we relate this mismatch with the sequential aspects of the space. We study in particular the space of polynomials.
Cite as

Antonin Callard and Mathieu Hoyrup. Descriptive Complexity on Non-Polish Spaces. In 37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 154, pp. 8:1-8:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)

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@InProceedings{callard_et_al:LIPIcs.STACS.2020.8,
  author =	{Callard, Antonin and Hoyrup, Mathieu},
  title =	{{Descriptive Complexity on Non-Polish Spaces}},
  booktitle =	{37th International Symposium on Theoretical Aspects of Computer Science (STACS 2020)},
  pages =	{8:1--8:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-140-5},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{154},
  editor =	{Paul, Christophe and Bl\"{a}ser, Markus},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2020.8},
  URN =		{urn:nbn:de:0030-drops-118694},
  doi =		{10.4230/LIPIcs.STACS.2020.8},
  annote =	{Keywords: Represented space, Computable analysis, Descriptive set theory, CoPolish spaces}
}
Document
DOI: 10.4230/DagRep.6.1.69
Well Quasi-Orders in Computer Science (Dagstuhl Seminar 16031)

Authors: Jean Goubault-Larrecq, Monika Seisenberger, Victor Selivanov, and Andreas Weiermann

Published in: Dagstuhl Reports, Volume 6, Issue 1 (2016)

Abstract
This report documents the program and the outcomes of Dagstuhl Seminar 16031 "Well Quasi-Orders in Computer Science", the first seminar devoted to the multiple and deep interactions between the theory of Well quasi-orders (known as the Wqo-Theory) and several fields of Computer Science (Verification and Termination of Infinite-State Systems, Automata and Formal Languages, Term Rewriting and Proof Theory, topological complexity of computational problems on continuous functions). Wqo-Theory is a highly developed part of Combinatorics with ever-growing number of applications in Mathematics and Computer Science, and Well quasi-orders are going to become an important unifying concept of Theoretical Computer Science. In this seminar, we brought together several communities from Computer Science and Mathematics in order to facilitate the knowledge transfer between Mathematicians and Computer Scientists as well as between established and younger researchers and thus to push forward the interaction between Wqo-Theory and Computer Science.
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Jean Goubault-Larrecq, Monika Seisenberger, Victor Selivanov, and Andreas Weiermann. Well Quasi-Orders in Computer Science (Dagstuhl Seminar 16031). In Dagstuhl Reports, Volume 6, Issue 1, pp. 69-98, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@Article{goubaultlarrecq_et_al:DagRep.6.1.69,
  author =	{Goubault-Larrecq, Jean and Seisenberger, Monika and Selivanov, Victor and Weiermann, Andreas},
  title =	{{Well Quasi-Orders in Computer Science (Dagstuhl Seminar 16031)}},
  pages =	{69--98},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2016},
  volume =	{6},
  number =	{1},
  editor =	{Goubault-Larrecq, Jean and Seisenberger, Monika and Selivanov, Victor and Weiermann, Andreas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.6.1.69},
  URN =		{urn:nbn:de:0030-drops-58158},
  doi =		{10.4230/DagRep.6.1.69},
  annote =	{Keywords: Better quasi-order, Well quasi-order, Hierarchy, Infinite State Machines, Logic, Noetherian space, Reducibility, Termination, Topological Complexity,}
}
Document
DOI: 10.4230/DagRep.5.10.66
Duality in Computer Science (Dagstuhl Seminar 15441)

Authors: Mai Gehrke, Achim Jung, Victor Selivanov, and Dieter Spreen

Published in: Dagstuhl Reports, Volume 5, Issue 10 (2016)

Abstract
This report documents the programme and outcomes of Dagstuhl Seminar 15441 `Duality in Computer Science'. This seminar served as a follow-up seminar to the seminar `Duality in Computer Science' (Dagstuhl Seminar 13311). In this seminar, we focused on applications of duality to semantics for probability in computation, to algebra and coalgebra, and on applications in complexity theory. A key objective of this seminar was to bring together researchers from these communities within computer science as well as from mathematics with the goal of uncovering commonalities, forging new collaborations, and sharing tools and techniques between areas based on their common use of topological methods and duality.
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Mai Gehrke, Achim Jung, Victor Selivanov, and Dieter Spreen. Duality in Computer Science (Dagstuhl Seminar 15441). In Dagstuhl Reports, Volume 5, Issue 10, pp. 66-88, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)

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@Article{gehrke_et_al:DagRep.5.10.66,
  author =	{Gehrke, Mai and Jung, Achim and Selivanov, Victor and Spreen, Dieter},
  title =	{{Duality in Computer Science (Dagstuhl Seminar 15441)}},
  pages =	{66--88},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2016},
  volume =	{5},
  number =	{10},
  editor =	{Gehrke, Mai and Jung, Achim and Selivanov, Victor and Spreen, Dieter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.5.10.66},
  URN =		{urn:nbn:de:0030-drops-56999},
  doi =		{10.4230/DagRep.5.10.66},
  annote =	{Keywords: coalgebra, domain theory, probabilistic systems, recognizability, semantics of non-classical logics, Stone duality}
}
Document
DOI: 10.4230/DagRep.3.7.54
Duality in Computer Science (Dagstuhl Seminar 13311)

Authors: Mai Gehrke, Jean-Eric Pin, Victor Selivanov, and Dieter Spreen

Published in: Dagstuhl Reports, Volume 3, Issue 7 (2013)

Abstract
Duality allows one to move between the two worlds: the world of certain algebras of properties and a spacial world of individuals, thereby leading to a change of perspective that may, and often does, lead to new insights. Dualities have given rise to active research in a number of areas of theoretical computer science. Dagstuhl Seminar 13311 "Duality in Computer Science" was held to stimulate research in this area. This report collects the ideas that were presented and discussed during the course of the seminar.
Cite as

Mai Gehrke, Jean-Eric Pin, Victor Selivanov, and Dieter Spreen. Duality in Computer Science (Dagstuhl Seminar 13311). In Dagstuhl Reports, Volume 3, Issue 7, pp. 54-73, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2013)

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@Article{gehrke_et_al:DagRep.3.7.54,
  author =	{Gehrke, Mai and Pin, Jean-Eric and Selivanov, Victor and Spreen, Dieter},
  title =	{{Duality in Computer Science (Dagstuhl Seminar 13311)}},
  pages =	{54--73},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2013},
  volume =	{3},
  number =	{7},
  editor =	{Gehrke, Mai and Pin, Jean-Eric and Selivanov, Victor and Spreen, Dieter},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.3.7.54},
  URN =		{urn:nbn:de:0030-drops-43068},
  doi =		{10.4230/DagRep.3.7.54},
  annote =	{Keywords: Stone-Priestley duality, Point free topology, Infinite computations Exact real number computation, Computability in analysis, Hierarchies, Reducibilit Topological complexity, Domain theory, Semantics, Recognizability, Profinite topology}
}
Document
DOI: 10.4230/DagRep.1.10.14
Computing with Infinite Data: Topological and Logical Foundations (Dagstuhl Seminar 11411)

Authors: Ulrich Berger, Vasco Brattka, Victor Selivanov, Dieter Spreen, and Hideki Tsuiki

Published in: Dagstuhl Reports, Volume 1, Issue 10 (2012)

Abstract
There is a large gap between mathematical structures and the structures computer implementations are based on. To stimulate research to overcome this---especially for infinitary structures---highly non-trivial problem the Dagstuhl Seminar 11411 ``Computing with Infinite Data: Topological and Logical Foundations'' was held. This report collects the ideas that were presented and discussed during the course of the seminar.
Cite as

Ulrich Berger, Vasco Brattka, Victor Selivanov, Dieter Spreen, and Hideki Tsuiki. Computing with Infinite Data: Topological and Logical Foundations (Dagstuhl Seminar 11411). In Dagstuhl Reports, Volume 1, Issue 10, pp. 14-36, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2012)

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@Article{berger_et_al:DagRep.1.10.14,
  author =	{Berger, Ulrich and Brattka, Vasco and Selivanov, Victor and Spreen, Dieter and Tsuiki, Hideki},
  title =	{{Computing with Infinite Data: Topological and Logical Foundations (Dagstuhl Seminar 11411)}},
  pages =	{14--36},
  journal =	{Dagstuhl Reports},
  ISSN =	{2192-5283},
  year =	{2012},
  volume =	{1},
  number =	{10},
  editor =	{Berger, Ulrich and Brattka, Vasco and Selivanov, Victor and Spreen, Dieter and Tsuiki, Hideki},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagRep.1.10.14},
  URN =		{urn:nbn:de:0030-drops-33721},
  doi =		{10.4230/DagRep.1.10.14},
  annote =	{Keywords: Exact real number computation, Stream computation, Infinite computations, Computability in analysis, Hierarchies, Reducibility, Topological complexity}
}
Document
DOI: 10.4230/DagSemProc.10501.1
10501 Abstracts Collection – Advances and Applications of Automata on Words and Trees

Authors: Christian Glasser, Jean-Eric Pin, Nicole Schweikardt, Victor Selivanov, and Wolfgang Thomas

Published in: Dagstuhl Seminar Proceedings, Volume 10501, Advances and Applications of Automata on Words and Trees (2011)

Abstract
From 12.12.2010 to 17.12.2010, the Dagstuhl Seminar 10501 ``Advances and Applications of Automata on Words and Trees'' was held in Schloss Dagstuhl~--~Leibniz Center for Informatics. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Christian Glasser, Jean-Eric Pin, Nicole Schweikardt, Victor Selivanov, and Wolfgang Thomas. 10501 Abstracts Collection – Advances and Applications of Automata on Words and Trees. In Advances and Applications of Automata on Words and Trees. Dagstuhl Seminar Proceedings, Volume 10501, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{glasser_et_al:DagSemProc.10501.1,
  author =	{Glasser, Christian and Pin, Jean-Eric and Schweikardt, Nicole and Selivanov, Victor and Thomas, Wolfgang},
  title =	{{10501 Abstracts Collection – Advances and Applications of Automata on Words and Trees}},
  booktitle =	{Advances and Applications of Automata on Words and Trees},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10501},
  editor =	{Christian Glasser and Jean-Eric Pin and Nicole Schweikardt and Victor Selivanov and Wolfgang Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10501.1},
  URN =		{urn:nbn:de:0030-drops-31486},
  doi =		{10.4230/DagSemProc.10501.1},
  annote =	{Keywords: Automata theory, logic, verification, data structures, algorithms, complexity, games, infinite games with perfect information, reactive systems, specification and verification, combinatorics, hierarchies and reducibilities}
}
Document
DOI: 10.4230/DagSemProc.10501.2
10501 Executive Summary – Advances and Applications of Automata on Words and Trees

Authors: Christian Glasser, Jean-Eric Pin, Nicole Schweikardt, Victor Selivanov, and Wolfgang Thomas

Published in: Dagstuhl Seminar Proceedings, Volume 10501, Advances and Applications of Automata on Words and Trees (2011)

Abstract
The aim of the seminar was to discuss and systematize the recent fast progress in automata theory and to identify important directions for future research. For this, the seminar brought together more than 40 researchers from automata theory and related fields of applications. We had 19 talks of 30 minutes and 5 one-hour lectures leaving ample room for discussions. In the following we describe the topics in more detail.
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Christian Glasser, Jean-Eric Pin, Nicole Schweikardt, Victor Selivanov, and Wolfgang Thomas. 10501 Executive Summary – Advances and Applications of Automata on Words and Trees. In Advances and Applications of Automata on Words and Trees. Dagstuhl Seminar Proceedings, Volume 10501, pp. 1-4, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{glasser_et_al:DagSemProc.10501.2,
  author =	{Glasser, Christian and Pin, Jean-Eric and Schweikardt, Nicole and Selivanov, Victor and Thomas, Wolfgang},
  title =	{{10501 Executive Summary – Advances and Applications of Automata on Words and Trees}},
  booktitle =	{Advances and Applications of Automata on Words and Trees},
  pages =	{1--4},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10501},
  editor =	{Christian Glasser and Jean-Eric Pin and Nicole Schweikardt and Victor Selivanov and Wolfgang Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10501.2},
  URN =		{urn:nbn:de:0030-drops-31474},
  doi =		{10.4230/DagSemProc.10501.2},
  annote =	{Keywords: Infinite games with perfect information, reactive systems, specification and verification, combinatorics, hierarchies and reducibilities}
}
Document
DOI: 10.4230/DagSemProc.10501.3
Parsing Unary Boolean Grammars Using Online Convolution

Authors: Alexander Okhotin and Christian Reitwießner

Published in: Dagstuhl Seminar Proceedings, Volume 10501, Advances and Applications of Automata on Words and Trees (2011)

Abstract
In contrast to context-free grammars, the extension of these grammars by explicit conjunction, the so-called conjunctive grammars can generate (quite complicated) non-regular languages over a single-letter alphabet (DLT 2007). Given these expressibility results, we study the parsability of Boolean grammars, an extension of context-free grammars by conjunction and negation, over a unary alphabet and show that they can be parsed in time O(|G| log^2(n) M(n)) where M(n) is the time to multiply two n-bit integers. This multiplication algorithm is transformed into a convolution algorithm which in turn is converted to an online convolution algorithm which is used for the parsing.
Cite as

Alexander Okhotin and Christian Reitwießner. Parsing Unary Boolean Grammars Using Online Convolution. In Advances and Applications of Automata on Words and Trees. Dagstuhl Seminar Proceedings, Volume 10501, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2011)

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@InProceedings{okhotin_et_al:DagSemProc.10501.3,
  author =	{Okhotin, Alexander and Reitwie{\ss}ner, Christian},
  title =	{{Parsing Unary Boolean Grammars Using Online Convolution}},
  booktitle =	{Advances and Applications of Automata on Words and Trees},
  pages =	{1--11},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2011},
  volume =	{10501},
  editor =	{Christian Glasser and Jean-Eric Pin and Nicole Schweikardt and Victor Selivanov and Wolfgang Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.10501.3},
  URN =		{urn:nbn:de:0030-drops-31465},
  doi =		{10.4230/DagSemProc.10501.3},
  annote =	{Keywords: }
}
Document
DOI: 10.4230/DagSemProc.08271.1
08271 Abstracts Collection – Topological and Game-Theoretic Aspects of Infinite Computations

Authors: Peter Hertling, Victor Selivanov, Wolfgang Thomas, William W. Wadge, and Klaus Wagner

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
From June 29, 2008, to July 4, 2008, the Dagstuhl Seminar 08271 ``Topological and Game-Theoretic Aspects of Infinite Computations'' was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, many participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and ideas are put together in this paper. The first section describes the seminar topics and goals in general. Links to extended abstracts or full papers are provided, if available.
Cite as

Peter Hertling, Victor Selivanov, Wolfgang Thomas, William W. Wadge, and Klaus Wagner. 08271 Abstracts Collection – Topological and Game-Theoretic Aspects of Infinite Computations. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{hertling_et_al:DagSemProc.08271.1,
  author =	{Hertling, Peter and Selivanov, Victor and Thomas, Wolfgang and Wadge, William W. and Wagner, Klaus},
  title =	{{08271 Abstracts Collection – Topological and Game-Theoretic Aspects of Infinite Computations}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--17},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.1},
  URN =		{urn:nbn:de:0030-drops-16555},
  doi =		{10.4230/DagSemProc.08271.1},
  annote =	{Keywords: Automata theory, computability in analysis, dataflow computation, hierarchies, infinite computations, infinite games, reactive systems, specification and verification, topological complexity, Wadge reducibility}
}
Document
DOI: 10.4230/DagSemProc.08271.2
08271 Executive Summary – Topological and Game-Theoretic Aspects of Infinite Computations

Authors: Peter Hertling, Victor Selivanov, Wolfgang Thomas, William W. Wadge, and Klaus Wagner

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
The theory of the infinite behaviour of continuously operating computing devices is of primary importance for several branches of theoretical and practical computer science. In particular, it is fundamental for the verification and synthesis of reactive systems like microprocessors or operating systems, for the understanding of dataflow computation, and for the development of adequate mathematical foundations for exact real computation. The seminar brought together researchers from many different disciplines who are working on theoretical or practical aspects of infinite computations. In this summary we describe the topics, the goals, and the contributions of the seminar.
Cite as

Peter Hertling, Victor Selivanov, Wolfgang Thomas, William W. Wadge, and Klaus Wagner. 08271 Executive Summary – Topological and Game-Theoretic Aspects of Infinite Computations. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-5, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{hertling_et_al:DagSemProc.08271.2,
  author =	{Hertling, Peter and Selivanov, Victor and Thomas, Wolfgang and Wadge, William W. and Wagner, Klaus},
  title =	{{08271 Executive Summary – Topological and Game-Theoretic Aspects of Infinite Computations}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--5},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.2},
  URN =		{urn:nbn:de:0030-drops-16499},
  doi =		{10.4230/DagSemProc.08271.2},
  annote =	{Keywords: Automata theory, computability in analysis, dataflow computation, hierarchies, infinite computations, infinite games, reactive systems, specification}
}
Document
DOI: 10.4230/DagSemProc.08271.3
Cartesian Programming: The TransLucid Programming Language

Authors: John Plaice and Blanca Mancilla

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
The TransLucid programming language is a low-level intensional language, designed to be sufficiently rich for it to be the target language for translating the common programming paradigms into it, while still being fully declarative. The objects manipulated by TransLucid, called hyperdatons, are arbitrary-dimensional infinite arrays, indexed by multidimensional tuples of arbitrary types. We present the syntax, denotational and operational semantics for a simple TransLucid system, consisting of 1) a header detailing how expressions should be parsed, 2) a set of libraries of types, and operations thereon, defined in a host language, 3) a set of TransLucid equations, and 4) a TransLucid demand to be evaluated. The evaluation of a demand for an (identifier, context) pair is undertaken using eduction, where previously computed pairs are stored in a cache called a warehouse. The execution ensures that only those dimensions actually encountered during the execution of an expression are taken into account when caching intermediate results.
Cite as

John Plaice and Blanca Mancilla. Cartesian Programming: The TransLucid Programming Language. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{plaice_et_al:DagSemProc.08271.3,
  author =	{Plaice, John and Mancilla, Blanca},
  title =	{{Cartesian Programming: The TransLucid Programming Language}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--16},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.3},
  URN =		{urn:nbn:de:0030-drops-16546},
  doi =		{10.4230/DagSemProc.08271.3},
  annote =	{Keywords: Cartesian programming, Lucid language, declarative programming, multidimensional programming, context-aware programming, semantics.}
}
Document
DOI: 10.4230/DagSemProc.08271.4
Declarative Synchronous Multithreaded Programming

Authors: Blanca Mancilla and John Plaice

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
We demonstrate how TransLucid can be used as a reactive system. At each instant, there is a set of active ports, where sets of equations, demands and threads are all registered. Each thread defines a sequence of (state, demand) pairs, and threads may interact through the overall set of equations. The entire system remains fully declarative.
Cite as

Blanca Mancilla and John Plaice. Declarative Synchronous Multithreaded Programming. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-6, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{mancilla_et_al:DagSemProc.08271.4,
  author =	{Mancilla, Blanca and Plaice, John},
  title =	{{Declarative Synchronous Multithreaded Programming}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--6},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.4},
  URN =		{urn:nbn:de:0030-drops-16536},
  doi =		{10.4230/DagSemProc.08271.4},
  annote =	{Keywords: Synchronous programming, distributed computing, declarative programming, Cartesian programming, multidimensional programming.}
}
Document
DOI: 10.4230/DagSemProc.08271.5
General Logic Programs as Infinite Games

Authors: Chrysida Galanaki, Panos Rondogiannis, and William W. Wadge

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
In [vE86] M.H. van Emden introduced a simple game semantics for definite logic programs. Recently [RW05,GRW05], the authors extended this game to apply to logic programs with negation. Moreover, under the assumption that the programs have a finite number of rules, it was demonstrated in [RW05,GRW05] that the game is equivalent to the well-founded semantics of negation. In this paper we present work-in-progress towards demonstrating that the game of [RW05,GRW05] is equivalent to the well-founded semantics even in the case of programs that have a countably infinite number of rules. We argue however that in this case the proof of correctness has to be more involved. More specifically, in order to demonstrate that the game is correct one has to define a refined game in which each of the two players in his first move makes a bet in the form of a countable ordinal. Each ordinal can be considered as a kind of clock that imposes a "time limit" to the moves of the corresponding player. We argue that this refined game can be used to give the proof of correctness for the countably infinite case.
Cite as

Chrysida Galanaki, Panos Rondogiannis, and William W. Wadge. General Logic Programs as Infinite Games. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

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@InProceedings{galanaki_et_al:DagSemProc.08271.5,
  author =	{Galanaki, Chrysida and Rondogiannis, Panos and Wadge, William W.},
  title =	{{General Logic Programs as Infinite Games}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--11},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.5},
  URN =		{urn:nbn:de:0030-drops-16519},
  doi =		{10.4230/DagSemProc.08271.5},
  annote =	{Keywords: Infinite Games, Negation in Logic Programming, Well-Founded Semantics}
}
Document
DOI: 10.4230/DagSemProc.08271.6
On the Semantic Approaches to Boolean Grammars

Authors: Vassilis Kountouriotis, Christos Nomikos, and Panos Rondogiannis

Published in: Dagstuhl Seminar Proceedings, Volume 8271, Topological and Game-Theoretic Aspects of Infinite Computations (2008)

Abstract
Boolean grammars extend context-free grammars by allowing conjunction and negation in rule bodies. This new formalism appears to be quite expressive and still efficient from a parsing point of view. Therefore, it seems reasonable to hope that boolean grammars can lead to more expressive tools that can facilitate the compilation process of modern programming languages. One important aspect concerning the theory of boolean grammars is their semantics. More specifically, the existence of negation makes it difficult to define a simple derivation-style semantics (such as for example in the case of context-free grammars). There have already been proposed a number of different semantic approaches in the literature. The purpose of this paper is to present the basic ideas behind each method and identify certain interesting problems that can be the object of further study in this area.
Cite as

Vassilis Kountouriotis, Christos Nomikos, and Panos Rondogiannis. On the Semantic Approaches to Boolean Grammars. In Topological and Game-Theoretic Aspects of Infinite Computations. Dagstuhl Seminar Proceedings, Volume 8271, pp. 1-12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2008)

Copy BibTex To Clipboard

@InProceedings{kountouriotis_et_al:DagSemProc.08271.6,
  author =	{Kountouriotis, Vassilis and Nomikos, Christos and Rondogiannis, Panos},
  title =	{{On the Semantic Approaches to Boolean Grammars}},
  booktitle =	{Topological and Game-Theoretic Aspects of Infinite Computations},
  pages =	{1--12},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2008},
  volume =	{8271},
  editor =	{Peter Hertling and Victor Selivanov and Wolfgang Thomas and William W. Wadge and Klaus Wagner},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/DagSemProc.08271.6},
  URN =		{urn:nbn:de:0030-drops-16527},
  doi =		{10.4230/DagSemProc.08271.6},
  annote =	{Keywords: Boolean Grammars, Negation in Formal Grammars, Well-Founded Semantics}
}
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