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Logic Sets Recursion 2 E
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Book Synopsis Logic, Sets & Recursion, 2/e by : Causey
Download or read book Logic, Sets & Recursion, 2/e written by Causey and published by . This book was released on 2010-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic, set theory, and mathematical induction play essential roles in modern mathematics and computer science. Logic, Sets, and Recursion, Second Edition provides students with the tools needed to master these important concepts. This text paves the way for students preparing to enter more advanced math, computer science, and logic courses, furnishing them with the experience necessary to construct rigorous proofs with ease. It is intended to fill the gap between advanced mathematical logic texts and Discrete Mathematics texts that do not treat logic with the depth required in modern computer science. The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text.
Book Synopsis Logic, Sets, and Recursion by : Robert L. Causey
Download or read book Logic, Sets, and Recursion written by Robert L. Causey and published by Jones & Bartlett Learning. This book was released on 2001 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces logic with an orientation towards mathematics and computing theory. The goal of this text is to teach students how to construct and write informal, but rigorous, mathematical proofs using basic set theory, recursive definitions, and mathematical induction. This book provides the undergraduate students with a systematic introduction to the principles of logic and the basic ideas of set theory and mathematical induction.
Book Synopsis Logic, Sets, and Recursion by : Robert L. Causey
Download or read book Logic, Sets, and Recursion written by Robert L. Causey and published by Jones & Bartlett Learning. This book was released on 2006 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.
Book Synopsis Higher Recursion Theory by : Gerald E. Sacks
Download or read book Higher Recursion Theory written by Gerald E. Sacks and published by Cambridge University Press. This book was released on 2017-03-02 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This almost self-contained introduction to higher recursion theory is essential reading for all researchers in the field.
Book Synopsis Recursively Enumerable Sets and Degrees by : Robert I. Soare
Download or read book Recursively Enumerable Sets and Degrees written by Robert I. Soare and published by Springer Science & Business Media. This book was released on 1999-11-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: ..."The book, written by one of the main researchers on the field, gives a complete account of the theory of r.e. degrees. .... The definitions, results and proofs are always clearly motivated and explained before the formal presentation; the proofs are described with remarkable clarity and conciseness. The book is highly recommended to everyone interested in logic. It also provides a useful background to computer scientists, in particular to theoretical computer scientists." Acta Scientiarum Mathematicarum, Ungarn 1988 ..."The main purpose of this book is to introduce the reader to the main results and to the intricacies of the current theory for the recurseively enumerable sets and degrees. The author has managed to give a coherent exposition of a rather complex and messy area of logic, and with this book degree-theory is far more accessible to students and logicians in other fields than it used to be." Zentralblatt für Mathematik, 623.1988
Book Synopsis Complexity, Logic, and Recursion Theory by : Andrea Sorbi
Download or read book Complexity, Logic, and Recursion Theory written by Andrea Sorbi and published by CRC Press. This book was released on 2019-05-07 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Integrates two classical approaches to computability. Offers detailed coverage of recent research at the interface of logic, computability theory, nd theoretical computer science. Presents new, never-before-published results and provides informtion not easily accessible in the literature."
Book Synopsis Classical recursion theory : the theory of functions and sets of natural numbers by : Piergiorgio Odifreddi
Download or read book Classical recursion theory : the theory of functions and sets of natural numbers written by Piergiorgio Odifreddi and published by . This book was released on 1999 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Sets, Logic and Maths for Computing by : David Makinson
Download or read book Sets, Logic and Maths for Computing written by David Makinson and published by Springer Science & Business Media. This book was released on 2012-02-27 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.
Book Synopsis Selected Logic Papers by : Gerald E Sacks
Download or read book Selected Logic Papers written by Gerald E Sacks and published by World Scientific. This book was released on 1999-07-06 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author selects 23 of his papers in mathematical logic that pursue definability via priority, forcing, compactness and fine structure applied to classical recursion, hyperarithmetic sets, recursion in objects of finite type, measure, models and E-recursion. His general introduction provides a chronology both personal and technical. Contents:On the Degrees Less Than 0'Recursive Enumerability and the Jump OperatorThe Recursively Enumerable Degrees are DenseA Simple Set Which is Not Effectively SimpleMetarecursive Sets (with G Kreisel)Post's Problem, Admissible Ordinals, and RegularityOn a Theorem of Lachlan and MartinA Minimal Hyperdegree (with R O Gandy)Measure-Theoretic Uniformity in Recursion Theory and Set TheoryRecursion in Objects of Finite TypeForcing with Perfect Closed SetsThe α-Finite Injury Method (with S G Simpson)The 1-Section of a Type n ObjectRemarks Against Foundational ActivityCountable Admissible Ordinals and HyperdegreesThe k-Section of a Type n ObjectEffective Bounds on Morley RankPost's Problem, Absoluteness and Recursion in Finite TypesOn the Number of Countable ModelsPost's Problem in E-RecursionThe Limits of E-Recursive EnumerabilityInadmissible Forcing (with T A Slaman)Effective Forcing Versus Proper Forcing Readership: Mathematical logicians and computer scientists. keywords:Recursion Theory;Computability Theory;Classical Degree Theory;Alpha-Recursion;E-Recursion;Model Theory;Splitting;Density;Jump "... this volume, together with Sacks' monograph on the subject, will be a useful source of information to those who want to bring life to the subject again." Mathematical Reviews
Book Synopsis Selected Logic Papers by : Gerald E. Sacks
Download or read book Selected Logic Papers written by Gerald E. Sacks and published by World Scientific. This book was released on 1999 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents: Recursive Enumerability and the Jump Operator; On the Degrees Less Than 0'; A Simple Set Which Is Not Effectively Simple; The Recursively Enumerable Degrees Are Dense; Metarecursive Sets (with G Kreisel); Post's Problem, Admissible Ordinals and Regularity; On a Theorem of Lachlan and Marlin; A Minimal Hyperdegree (with R O Gandy); Measure-Theoretic Uniformity in Recursion Theory and Set Theory; Forcing with Perfect Closed Sets; Recursion in Objects of Finite Type; The a-Finite Injury Method (with S G Simpson); Remarks Against Foundational Activity; Countable Admissible Ordinals and Hyperdegrees; The 1-Section of a Type n Object; The k-Section of a Type n Object; Post's Problem, Absoluteness and Recursion in Finite Types; Effective Bounds on Morley Rank; On the Number of Countable Models; Post's Problem in E-Recursion; The Limits of E-Recursive Enumerability; Effective Versus Proper Forcing.
Book Synopsis Higher Recursion Theory by : Gerald E. Sacks
Download or read book Higher Recursion Theory written by Gerald E. Sacks and published by Cambridge University Press. This book was released on 2017-03-02 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This volume, the second publication in the Perspectives in Logic series, is an almost self-contained introduction to higher recursion theory, in which the reader is only assumed to know the basics of classical recursion theory. The book is divided into four parts: hyperarithmetic sets, metarecursion, α-recursion, and E-recursion. This text is essential reading for all researchers in the field.
Book Synopsis Mathematical Logic and Applications by : Juichi Shinoda
Download or read book Mathematical Logic and Applications written by Juichi Shinoda and published by Springer. This book was released on 2006-11-14 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings include the papers presented at the logic meeting held at the Research Institute for Mathematical Sciences, Kyoto University, in the summer of 1987. The meeting mainly covered the current research in various areas of mathematical logic and its applications in Japan. Several lectures were also presented by logicians from other countries, who visited Japan in the summer of 1987.
Book Synopsis Logic Colloquium 2000 by : René Cori
Download or read book Logic Colloquium 2000 written by René Cori and published by Cambridge University Press. This book was released on 2017-03-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. This volume, the nineteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Paris, France in July 2000. This meeting marked the centennial anniversary of Hilbert's famous lecture and was held in the same hall at La Sorbonne where Hilbert presented his problems. Three long articles, based on tutorials given at the meeting, present accessible expositions of developing research in model theory, computability, and set theory. The eleven subsequent papers present work from the research frontier in all areas of mathematical logic.
Book Synopsis A First Journey through Logic by : Martin Hils
Download or read book A First Journey through Logic written by Martin Hils and published by American Mathematical Soc.. This book was released on 2019-09-11 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
Download or read book Recursion Theory written by Anil Nerode and published by American Mathematical Soc.. This book was released on 1985 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Set Theory and Logic by : Robert R. Stoll
Download or read book Set Theory and Logic written by Robert R. Stoll and published by Courier Corporation. This book was released on 2012-05-23 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.
Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov
Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2015-12-14 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2016, held in Deerfield Beach, FL, USA in January 2016. The 27 revised full papers were carefully reviewed and selected from 46 submissions. The scope of the Symposium is broad and includes constructive mathematics and type theory; homotopy type theory; logic, automata, and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; parameterized complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logics; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple-agent system logics; logics of proof and justification; non-monotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.
