Logic And Games On Automatic Structures
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Logic And Games On Automatic Structures
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Author : Lukasz Kaiser
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-22
Logic And Games On Automatic Structures written by Lukasz Kaiser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-22 with Computers categories.
The evaluation of a logical formula can be viewed as a game played by two opponents, one trying to show that the formula is true and the other trying to prove it is false. This correspondence has been known for a very long time and has inspired numerous research directions. In this book, the author extends this connection between logic and games to the class of automatic structures, where relations are recognized by synchronous finite automata. In model-checking games for automatic structures, two coalitions play against each other with a particular kind of hierarchical imperfect information. The investigation of such games leads to the introduction of a game quantifier on automatic structures, which connects alternating automata with the classical model-theoretic notion of a game quantifier. This study is then extended, determining the memory needed for strategies in infinitary games on the one hand, and characterizing regularity-preserving Lindström quantifiers on the other. Counting quantifiers are investigated in depth: it is shown that all countable omega-automatic structures are in fact finite-word automatic and that the infinity and uncountability set quantifiers are definable in MSO over countable linear orders and over labeled binary trees. This book is based on the PhD thesis of Lukasz Kaiser, which was awarded with the E.W. Beth award for outstanding dissertations in the fields of logic, language, and information in 2009. The work constitutes an innovative study in the area of algorithmic model theory, demonstrating the deep interplay between logic and computability in automatic structures. It displays very high technical and presentational quality and originality, advances significantly the field of algorithmic model theory and raises interesting new questions, thus emerging as a fruitful and inspiring source for future research.
Logic And Games On Automatic Structures
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Author : Łukasz Kaiser
language : en
Publisher:
Release Date : 2008
Logic And Games On Automatic Structures written by Łukasz Kaiser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Special Topics On Automata Structures And Games
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Author : Imran Khaliq
language : en
Publisher:
Release Date : 2011
Special Topics On Automata Structures And Games written by Imran Khaliq and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Game theory categories.
The work at hand deals with infinite games played on finite graphs. Such games are widely used in automatic verification, model checking, automata and formal logics. In particular, we are interested in perfect information games that are played between two players, called Player 0 and Player 1, over a finite bipartite directed graphs. Each play starts from a node in the underlying graph. The players play the game by moving the token alternatively along the edges. If a play satisfies the winning condition of the game, then we say Player 0 wins the play otherwise Player 1 wins. We are interested in to investigate algorithmic questions about games. The emphasis is placed on the following three interrelated algorithmic problems. 1. Given a game, we want to solve the game. This means that we want to design an algorithm that finds all the winning nodes for Player 0 and all the winning nodes for Player 1 in the game. 2. Given a game, we want to extract finite state winning strategies. This means that we want to design an algorithm that, for the given game, builds finite state automata that realize winning strategies. 3. We want to investigate the above two problems in dynamically changing games. This means that we want to design algorithms, for the above two problems, for games played over the finite bipartite directed graphs that undergo a series of updates. These updates include insertions and deletions of edges and nodes.
Computer Science Logic
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Author : Zoltán Ésik
language : en
Publisher: Springer
Release Date : 2006-09-28
Computer Science Logic written by Zoltán Ésik and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-28 with Computers categories.
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006. The book presents 37 revised full papers together with 4 invited contributions, addressing all current aspects of logic in computer science. Coverage includes automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, finite model theory, and more.
Logic For Programming Artificial Intelligence And Reasoning
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Author : Moshe Vardi
language : en
Publisher: Springer
Release Date : 2003-12-01
Logic For Programming Artificial Intelligence And Reasoning written by Moshe Vardi and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-01 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Conference on Logic Programming, Artificial Intelligence, and Reasoning, LPAR 2003, held in Almaty, Kazakhstan in September 2003. The 27 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 65 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, proof theory, logic calculi, formal verification, model theory, game theory, automata, proof search, constraint systems, model checking, and proof construction.
Logic And Theory Of Algorithms
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Author : Arnold Beckmann
language : en
Publisher: Springer
Release Date : 2008-06-11
Logic And Theory Of Algorithms written by Arnold Beckmann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-11 with Computers categories.
CiE 2008: Logic and Theory of Algorithms Athens, Greece, June 15–20, 2008 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, and applications. Among the aims of the network is to advance our t- oretical understanding of what can and cannot be computed, by any means of computation. Its scienti?c vision is broad: computations may be performed with discrete or continuous data by all kinds of algorithms, programs, and - chines. Computations may be made by experimenting with any sort of physical system obeying the laws of a physical theory such as Newtonian mechanics, quantum theory, or relativity. Computations may be very general, depending on the foundations of set theory; or very speci?c, using the combinatorics of ?nite structures. CiE also works on subjects intimately related to computation, especially theories of data and information, and methods for formal reasoning about computations. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, computational learning. Applications are everywhere,especially, in algebra,analysisand geometry, or data types and p- gramming. Within CiE there is general recognition of the underlying relevance of computability to physics and a broad range of other sciences, providing as it does a basic analysis of the causal structure of dynamical systems. Thisvolume,Logic andTheory of Algorithms,istheproceedingsofthefourth in a series of conferences of CiE that was held at the University of Athens, June 15–20, 2008.
A Journey From Finite To Automatic Structures And Beyond
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Author : Jiamou Liu
language : en
Publisher:
Release Date : 2010
A Journey From Finite To Automatic Structures And Beyond written by Jiamou Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Algorithms categories.
Computer Science Logic
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Author : European Association for Computer Science Logic. Conference
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-09-20
Computer Science Logic written by European Association for Computer Science Logic. Conference and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-20 with Computers categories.
This book constitutes the refereed proceedings of the 20th International Workshop on Computer Science Logic, CSL 2006, held as the 15th Annual Conference of the EACSL in Szeged, Hungary in September 2006. The 37 revised full papers presented together with 4 invited contributions were carefully reviewed and selected from 132 submissions. All current aspects of logic in computer science are addressed, including automated deduction and interactive theorem proving, constructive mathematics and type theory, equational logic and term rewriting, automata and formal logics, modal and temporal logic, model checking, logical aspects of computational complexity, finite model theory, computational proof theory, logic programming and constraints, lambda calculus and combinatory logic, categorical logic and topological semantics, domain theory, database theory, specification, extraction and transformation of programs, logical foundations of programming paradigms, verification of security protocols, linear logic, higher-order logic, nonmonotonic reasoning, as well as logics and type systems for biology.
Computational Complexity Of Automatic Structures
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Author : Jacob Carson
language : en
Publisher:
Release Date : 2011
Computational Complexity Of Automatic Structures written by Jacob Carson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Finite And Algorithmic Model Theory
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Author : Javier Esparza
language : en
Publisher: Cambridge University Press
Release Date : 2011-03-10
Finite And Algorithmic Model Theory written by Javier Esparza and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-10 with Computers categories.
Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.