Logic, Computation, Hierarchies

Logic, Computation, Hierarchies PDF Author: Vasco Brattka
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1614519404
Category : Philosophy
Languages : en
Pages : 389

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Book Description
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.

Logic, Computation, Hierarchies

Logic, Computation, Hierarchies PDF Author: Vasco Brattka
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 1614519404
Category : Philosophy
Languages : en
Pages : 389

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Book Description
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.

Recursion-Theoretic Hierarchies

Recursion-Theoretic Hierarchies PDF Author: Peter G. Hinman
Publisher: Cambridge University Press
ISBN: 1316739384
Category : Mathematics
Languages : en
Pages : 494

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Book Description
Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. The theory set out in this volume, the ninth publication in the Perspectives in Logic series, is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. Both are concerned with notions of definability and with the classification of mathematical objects according to their complexity. These are the common themes which run through the topics discussed here. The author develops a general theory from which the results of both areas can be derived, making these common threads clear.

The Cultural Logic of Computation

The Cultural Logic of Computation PDF Author: David Golumbia
Publisher: Harvard University Press
ISBN: 9780674032927
Category : Computers
Languages : en
Pages : 276

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Book Description
Advocates of computers make sweeping claims for their inherently transformative power: new and different from previous technologies, they are sure to resolve many of our existing social problems, and perhaps even to cause a positive political revolution. In The Cultural Logic of Computation, David Golumbia, who worked as a software designer for more than ten years, confronts this orthodoxy, arguing instead that computers are cultural “all the way down”—that there is no part of the apparent technological transformation that is not shaped by historical and cultural processes, or that escapes existing cultural politics. From the perspective of transnational corporations and governments, computers benefit existing power much more fully than they provide means to distribute or contest it. Despite this, our thinking about computers has developed into a nearly invisible ideology Golumbia dubs “computationalism”—an ideology that informs our thinking not just about computers, but about economic and social trends as sweeping as globalization. Driven by a programmer’s knowledge of computers as well as by a deep engagement with contemporary literary and cultural studies and poststructuralist theory, The Cultural Logic of Computation provides a needed corrective to the uncritical enthusiasm for computers common today in many parts of our culture.

A Computational Logic

A Computational Logic PDF Author: Robert S. Boyer
Publisher: Academic Press
ISBN: 1483277887
Category : Mathematics
Languages : en
Pages : 414

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Book Description
ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

Well-Quasi Orders in Computation, Logic, Language and Reasoning

Well-Quasi Orders in Computation, Logic, Language and Reasoning PDF 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.

Complexity of Constraints

Complexity of Constraints PDF Author: Nadia Creignou
Publisher: Springer
ISBN: 3540928006
Category : Computers
Languages : en
Pages : 326

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Book Description
Nowadays constraint satisfaction problems (CSPs) are ubiquitous in many different areas of computer science, from artificial intelligence and database systems to circuit design, network optimization, and theory of programming languages. Consequently, it is important to analyze and pinpoint the computational complexity of certain algorithmic tasks related to constraint satisfaction. The complexity-theoretic results of these tasks may have a direct impact on, for instance, the design and processing of database query languages, or strategies in data-mining, or the design and implementation of planners. This state-of-the-art survey contains the papers that were invited by the organizers after conclusion of an International Dagstuhl-Seminar on Complexity of Constraints, held in Dagstuhl Castle, Germany, in October 2006. A number of speakers were solicited to write surveys presenting the state of the art in their area of expertise. These contributions were peer-reviewed by experts in the field and revised before they were collated to the 9 papers of this volume. In addition, the volume contains a reprint of a survey by Kolaitis and Vardi on the logical approach to constraint satisfaction that first appeared in 'Finite Model Theory and its Applications', published by Springer in 2007.

Classical and New Paradigms of Computation and their Complexity Hierarchies

Classical and New Paradigms of Computation and their Complexity Hierarchies PDF Author: Benedikt Löwe
Publisher: Springer Science & Business Media
ISBN: 1402027761
Category : Computers
Languages : en
Pages : 266

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Book Description
The notion of complexity is an important contribution of logic to theoretical computer science and mathematics. This volume attempts to approach complexity in a holistic way, investigating mathematical properties of complexity hierarchies at the same time as discussing algorithms and computational properties. A main focus of the volume is on some of the new paradigms of computation, among them Quantum Computing and Infinitary Computation. The papers in the volume are tied together by an introductory article describing abstract properties of complexity hierarchies. This volume will be of great interest to both mathematical logicians and theoretical computer scientists, providing them with new insights into the various views of complexity and thus shedding new light on their own research.

Euclidean Hierarchy in Modal Logic

Euclidean Hierarchy in Modal Logic PDF Author: Johan F. A. K. van Benthem
Publisher:
ISBN:
Category :
Languages : en
Pages : 16

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Book Description


Hierarchical Sliding Mode Control for Under-actuated Cranes

Hierarchical Sliding Mode Control for Under-actuated Cranes PDF Author: Dianwei Qian
Publisher: Springer
ISBN: 366248417X
Category : Technology & Engineering
Languages : en
Pages : 210

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Book Description
This book reports on the latest developments in sliding mode overhead crane control, presenting novel research ideas and findings on sliding mode control (SMC), hierarchical SMC and compensator design-based hierarchical sliding mode. The results, which were previously scattered across various journals and conference proceedings, are now presented in a systematic and unified form. The book will be of interest to researchers, engineers and graduate students in control engineering and mechanical engineering who want to learn the methods and applications of SMC.

A Hierarchical Associative Processing System

A Hierarchical Associative Processing System PDF Author: Heinrich J. Stüttgen
Publisher: Springer Science & Business Media
ISBN: 9783540156529
Category : Computers
Languages : en
Pages : 292

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Book Description