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Author: Michał Skrzypczak
Publisher: Springer
ISBN: 3662529475
Category : Mathematics
Languages : en
Pages : 211
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Book Description
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.
Author: Michał Skrzypczak
Publisher: Springer
ISBN: 3662529475
Category : Mathematics
Languages : en
Pages : 211
Get Book
Book Description
The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology. "...the thesis of Michał Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.
Author: Bharath Sriraman
Publisher: Springer Nature
ISBN: 3031408462
Category :
Languages : en
Pages : 3221
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Book Description
Author: Magnús M. Halldórsson
Publisher: Springer
ISBN: 3662476665
Category : Computers
Languages : en
Pages : 717
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Book Description
The two-volume set LNCS 9134 and LNCS 9135 constitutes the refereed proceedings of the 42nd International Colloquium on Automata, Languages and Programming, ICALP 2015, held in Kyoto, Japan, in July 2015. The 143 revised full papers presented were carefully reviewed and selected from 507 submissions. The papers are organized in the following three tracks: algorithms, complexity, and games; logic, semantics, automata and theory of programming; and foundations of networked computation: models, algorithms and information management.
Author: Peter M. Schuster
Publisher: Springer Nature
ISBN: 3030302296
Category : Philosophy
Languages : en
Pages : 391
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Book Description
This book bridges the gaps between logic, mathematics and computer science by delving into the theory of well-quasi orders, also known as wqos. This highly active branch of combinatorics is deeply rooted in and between many fields of mathematics and logic, including proof theory, commutative algebra, braid groups, graph theory, analytic combinatorics, theory of relations, reverse mathematics and subrecursive hierarchies. As a unifying concept for slick finiteness or termination proofs, wqos have been rediscovered in diverse contexts, and proven to be extremely useful in computer science. The book introduces readers to the many facets of, and recent developments in, wqos through chapters contributed by scholars from various fields. As such, it offers a valuable asset for logicians, mathematicians and computer scientists, as well as scholars and students.
Author: Anatol W. Holt
Publisher:
ISBN:
Category :
Languages : en
Pages : 194
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Book Description
A discrete information system may be abstractly conceived as a domain of 'entities' characterized as to the following: an ensemble of possible states of mutual relation; a collection of possible 'local' transformations of system state; and 'coupling' possibilities which determine how the system may interact with 'environments.' As between several such systems, relations such as 'behavioral equivalence' and 'representation' may be defined. In respect to computer systems, the most diverse information processing and/or exhibiting 'devices, ' whether hard or soft or a combination of both, are to be amenable to mem-theoretic treatment. From the point of view of automata theory, mem-theory provides a method for constructing deterministic or non-deterministic finite state automata to explicate some informally-given interesting varieties of complex, discrete behavior. From such treatment, one is to obtain the capacity to describe, contrast and evaluate alternate organizational techniques and to be led to the invention of new ones. (Author).
Author:
Publisher:
ISBN:
Category : Periodicals
Languages : en
Pages : 994
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Book Description
Author: Johan Van Benthem
Publisher: MIT Press
ISBN: 0262320304
Category : Computers
Languages : en
Pages : 567
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Book Description
A comprehensive examination of the interfaces of logic, computer science, and game theory, drawing on twenty years of research on logic and games. This book draws on ideas from philosophical logic, computational logic, multi-agent systems, and game theory to offer a comprehensive account of logic and games viewed in two complementary ways. It examines the logic of games: the development of sophisticated modern dynamic logics that model information flow, communication, and interactive structures in games. It also examines logic as games: the idea that logical activities of reasoning and many related tasks can be viewed in the form of games. In doing so, the book takes up the “intelligent interaction” of agents engaging in competitive or cooperative activities and examines the patterns of strategic behavior that arise. It develops modern logical systems that can analyze information-driven changes in players' knowledge and beliefs, and introduces the “Theory of Play” that emerges from the combination of logic and game theory. This results in a new view of logic itself as an interactive rational activity based on reasoning, perception, and communication that has particular relevance for games. Logic in Games, based on a course taught by the author at Stanford University, the University of Amsterdam, and elsewhere, can be used in advanced seminars and as a resource for researchers.
Author: Jean Eric Pin
Publisher:
ISBN: 9783985470020
Category : Machine theory
Languages : en
Pages : 1493
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Book Description
Author: Nelma Moreira
Publisher: Springer
ISBN: 3642316069
Category : Computers
Languages : en
Pages : 381
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Book Description
This book constitutes the thoroughly refereed papers of the 17th International Conference on Implementation and Application of Automata, CIAA 2012, held in Porto, Portugal, in July 2012. The 21 revised full papers presented together with 5 invited papers and 7 short papers were carefully selected from 53 submissions. The papers cover various topics such as automata applications in formal verification methods, natural language processing, pattern matching, data storage and retrieval, and bioinformatics, as well as theoretical work on automata theory.
Author: Alexander B. Kurzhanski
Publisher: Springer
ISBN: 331910277X
Category : Mathematics
Languages : en
Pages : 457
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Book Description
This monograph presents theoretical methods involving the Hamilton–Jacobi–Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control. The emphasis is on issues of reachability, feedback control synthesis under complex state constraints, hard or double bounds on controls, and performance in finite time. Guaranteed state estimation, output feedback control, and hybrid dynamics are also discussed. Although the focus is on systems with linear structure, the authors indicate how to apply each approach to nonlinear and nonconvex systems. The main theoretical results lead to computational schemes based on extensions of ellipsoidal calculus that provide complete solutions to the problems. These computational schemes in turn yield software tools that can be applied effectively to high-dimensional systems. Ellipsoidal Techniques for Problems of Dynamics and Control: Theory and Computation will interest graduate and senior undergraduate students, as well as researchers and practitioners interested in control theory, its applications, and its computational realizations.
