Logic Construction Computation

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Logic, Construction, Computation

Author : Ulrich Berger
Publisher : Walter de Gruyter
ISBN 13 : 311032492X
Total Pages : 544 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Logic, Construction, Computation by : Ulrich Berger

Download or read book Logic, Construction, Computation written by Ulrich Berger and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.

Logic, Construction, Computation

Author : Ulrich Berger
Publisher : Walter de Gruyter
ISBN 13 : 9783110324938
Total Pages : 542 pages
Book Rating : 4.3/5 (249 download)

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Book Synopsis Logic, Construction, Computation by : Ulrich Berger

Download or read book Logic, Construction, Computation written by Ulrich Berger and published by Walter de Gruyter. This book was released on 2012 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.

A Computational Logic

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sets, Logic, Computation

Author : Richard Zach
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.5/5 (363 download)

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Book Synopsis Sets, Logic, Computation by : Richard Zach

Download or read book Sets, Logic, Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.

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

Author : Peter M. Schuster
Publisher : Springer Nature
ISBN 13 : 3030302296
Total Pages : 395 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Well-Quasi Orders in Computation, Logic, Language and Reasoning by : Peter M. Schuster

Download or read book Well-Quasi Orders in Computation, Logic, Language and Reasoning written by Peter M. Schuster and published by Springer Nature. This book was released on 2020-01-01 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Effective Logic Computation

Author : Klaus Truemper
Publisher :
ISBN 13 : 9780999140215
Total Pages : pages
Book Rating : 4.1/5 (42 download)

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Book Synopsis Effective Logic Computation by : Klaus Truemper

Download or read book Effective Logic Computation written by Klaus Truemper and published by . This book was released on 2017-09-14 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the paperback edition of the electronic version with same titleeee

Mathematical Logic for Computer Science

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
ISBN 13 : 1447103351
Total Pages : 311 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Logic for Computer Science by : Mordechai Ben-Ari

Download or read book Mathematical Logic for Computer Science written by Mordechai Ben-Ari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.

Dynamic Logic

Author : David Harel
Publisher : MIT Press
ISBN 13 : 9780262263023
Total Pages : 492 pages
Book Rating : 4.2/5 (63 download)

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Book Synopsis Dynamic Logic by : David Harel

Download or read book Dynamic Logic written by David Harel and published by MIT Press. This book was released on 2000-09-29 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first comprehensive introduction to Dynamic Logic. Among the many approaches to formal reasoning about programs, Dynamic Logic enjoys the singular advantage of being strongly related to classical logic. Its variants constitute natural generalizations and extensions of classical formalisms. For example, Propositional Dynamic Logic (PDL) can be described as a blend of three complementary classical ingredients: propositional calculus, modal logic, and the algebra of regular events. In First-Order Dynamic Logic (DL), the propositional calculus is replaced by classical first-order predicate calculus. Dynamic Logic is a system of remarkable unity that is theoretically rich as well as of practical value. It can be used for formalizing correctness specifications and proving rigorously that those specifications are met by a particular program. Other uses include determining the equivalence of programs, comparing the expressive power of various programming constructs, and synthesizing programs from specifications. This book provides the first comprehensive introduction to Dynamic Logic. It is divided into three parts. The first part reviews the appropriate fundamental concepts of logic and computability theory and can stand alone as an introduction to these topics. The second part discusses PDL and its variants, and the third part discusses DL and its variants. Examples are provided throughout, and exercises and a short historical section are included at the end of each chapter.

The Logic of Architecture

Author : William John Mitchell
Publisher : MIT Press (MA)
ISBN 13 : 9780262132381
Total Pages : 292 pages
Book Rating : 4.1/5 (323 download)

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Book Synopsis The Logic of Architecture by : William John Mitchell

Download or read book The Logic of Architecture written by William John Mitchell and published by MIT Press (MA). This book was released on 1990 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Logic of Architecture is the first comprehensive, systematic, and modern treatment of the logical foundations of design thinking. It provides a detailed discussion of languages of architectural form, their specification by means of formal grammars, their interpretation, and their role in structuring design thinking. Supplemented by over 200 original illustrations, "The Logic of Architecture" reexamines central issues of design theory in the light of recent advances in artificial intelligence, cognitive science, and the theory of computation. The richness of this approach permits sympathetic and constructive analysis of positions developed by a wide range of theorists and philosophers from Socrates to the present. Mitchell first considers how buildings may be described in words and shows how such descriptions may be formalized by the notation of first-order predicate calculus. This leads to the idea of a critical language for speaking about the qualities of buildings. Turning to the question of representation by drawings and scale models, Mitchell then develops the notion of design worlds that provide graphic tokens which can be manipulated according to certain grammatical rules. In particular, he shows how domains of graphic compositions possible in a design world may be specified by formal shape grammars. Design worlds and critical languages are connected by showing how such languages may be interpreted in design worlds. Design processes are then viewed as computations in a design world with the objective of satisfying predicates of form and function stated in a critical language. William J. Mitchell is G. Ware and Edythe M. Travelstead Professor of Architecture at HarvardUniversity and a founder of the Computer-Aided Design Group in Los Angeles. Among the books he has authored or coauthored are "The Poetics of Gardens, The Art of Computer Graphics Programming, and "Computer-Aided Architectural Design."

Logic and Computation

Author : Lawrence C. Paulson
Publisher :
ISBN 13 : 9780521346320
Total Pages : 302 pages
Book Rating : 4.3/5 (463 download)

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Book Synopsis Logic and Computation by : Lawrence C. Paulson

Download or read book Logic and Computation written by Lawrence C. Paulson and published by . This book was released on 1987 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.

Digital Logic for Computing

Author : John Seiffertt
Publisher : Springer
ISBN 13 : 3319568396
Total Pages : 324 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Digital Logic for Computing by : John Seiffertt

Download or read book Digital Logic for Computing written by John Seiffertt and published by Springer. This book was released on 2017-05-26 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a bottom-up approach to understanding how a computer works and how to use computing to solve real-world problems. It covers the basics of digital logic through the lens of computer organization and programming. The reader should be able to design his or her own computer from the ground up at the end of the book. Logic simulation with Verilog is used throughout, assembly languages are introduced and discussed, and the fundamentals of computer architecture and embedded systems are touched upon, all in a cohesive design-driven framework suitable for class or self-study.

Quantum Computation and Logic

Author : Maria Luisa Dalla Chiara
Publisher : Springer
ISBN 13 : 3030044718
Total Pages : 192 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Quantum Computation and Logic by : Maria Luisa Dalla Chiara

Download or read book Quantum Computation and Logic written by Maria Luisa Dalla Chiara and published by Springer. This book was released on 2018-12-10 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general survey of the main concepts, questions and results that have been developed in the recent interactions between quantum information, quantum computation and logic. Divided into 10 chapters, the books starts with an introduction of the main concepts of the quantum-theoretic formalism used in quantum information. It then gives a synthetic presentation of the main “mathematical characters” of the quantum computational game: qubits, quregisters, mixtures of quregisters, quantum logical gates. Next, the book investigates the puzzling entanglement-phenomena and logically analyses the Einstein–Podolsky–Rosen paradox and introduces the reader to quantum computational logics, and new forms of quantum logic. The middle chapters investigate the possibility of a quantum computational semantics for a language that can express sentences like “Alice knows that everybody knows that she is pretty”, explore the mathematical concept of quantum Turing machine, and illustrate some characteristic examples that arise in the framework of musical languages. The book concludes with an analysis of recent discussions, and contains a Mathematical Appendix which is a survey of the definitions of all main mathematical concepts used in the book.

Computational Logic and Proof Theory

Author : Georg Gottlob
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computational Logic and Proof Theory by : Georg Gottlob

Download or read book Computational Logic and Proof Theory written by Georg Gottlob and published by . This book was released on 1993 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The Third Kurt G

Good Math

Author : Mark C. Chu-Carroll
Publisher : Pragmatic Bookshelf
ISBN 13 : 168050360X
Total Pages : 261 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Good Math by : Mark C. Chu-Carroll

Download or read book Good Math written by Mark C. Chu-Carroll and published by Pragmatic Bookshelf. This book was released on 2013-07-18 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you. Why do Roman numerals persist? How do we know that some infinities are larger than others? And how can we know for certain a program will ever finish? In this fast-paced tour of modern and not-so-modern math, computer scientist Mark Chu-Carroll explores some of the greatest breakthroughs and disappointments of more than two thousand years of mathematical thought. There is joy and beauty in mathematics, and in more than two dozen essays drawn from his popular "Good Math" blog, you'll find concepts, proofs, and examples that are often surprising, counterintuitive, or just plain weird. Mark begins his journey with the basics of numbers, with an entertaining trip through the integers and the natural, rational, irrational, and transcendental numbers. The voyage continues with a look at some of the oddest numbers in mathematics, including zero, the golden ratio, imaginary numbers, Roman numerals, and Egyptian and continuing fractions. After a deep dive into modern logic, including an introduction to linear logic and the logic-savvy Prolog language, the trip concludes with a tour of modern set theory and the advances and paradoxes of modern mechanical computing. If your high school or college math courses left you grasping for the inner meaning behind the numbers, Mark's book will both entertain and enlighten you.

Proofs and Algorithms

Author : Gilles Dowek
Publisher : Springer Science & Business Media
ISBN 13 : 0857291211
Total Pages : 161 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Proofs and Algorithms by : Gilles Dowek

Download or read book Proofs and Algorithms written by Gilles Dowek and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Principia Mathematica

Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principia Mathematica by : Alfred North Whitehead

Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A New Kind of Science

Author : Stephen Wolfram
Publisher :
ISBN 13 : 9780713991161
Total Pages : 1197 pages
Book Rating : 4.9/5 (911 download)

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Book Synopsis A New Kind of Science by : Stephen Wolfram

Download or read book A New Kind of Science written by Stephen Wolfram and published by . This book was released on 2002 with total page 1197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work presents a series of dramatic discoveries never before made public. Starting from a collection of simple computer experiments---illustrated in the book by striking computer graphics---Wolfram shows how their unexpected results force a whole new way of looking at the operation of our universe. Wolfram uses his approach to tackle a remarkable array of fundamental problems in science: from the origin of the Second Law of thermodynamics, to the development of complexity in biology, the computational limitations of mathematics, the possibility of a truly fundamental theory of physics, and the interplay between free will and determinism.