Logic Sets And Information

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Sets, Logic and Maths for Computing

Author : David Makinson
Publisher : Springer Science & Business Media
ISBN 13 : 1447125002
Total Pages : 302 pages
Book Rating : 4.4/5 (471 download)

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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.

Sets, Logic and Categories

Author : Peter J. Cameron
Publisher : Springer Science & Business Media
ISBN 13 : 1447105893
Total Pages : 191 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Sets, Logic and Categories by : Peter J. Cameron

Download or read book Sets, Logic and Categories written by Peter J. Cameron and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.

Propositional and Predicate Calculus: A Model of Argument

Author : Derek Goldrei
Publisher : Springer Science & Business Media
ISBN 13 : 9781852339210
Total Pages : 334 pages
Book Rating : 4.3/5 (392 download)

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Book Synopsis Propositional and Predicate Calculus: A Model of Argument by : Derek Goldrei

Download or read book Propositional and Predicate Calculus: A Model of Argument written by Derek Goldrei and published by Springer Science & Business Media. This book was released on 2005-09-08 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed specifically for guided independent study. Features a wealth of worked examples and exercises, many with full teaching solutions, that encourage active participation in the development of the material. It focuses on core material and provides a solid foundation for further study.

Logic, Sets, and Recursion

Author : Robert L. Causey
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763737849
Total Pages : 536 pages
Book Rating : 4.7/5 (378 download)

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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.

Elements of Set Theory

Author : Herbert B. Enderton
Publisher : Academic Press
ISBN 13 : 0080570429
Total Pages : 294 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Elements of Set Theory by : Herbert B. Enderton

Download or read book Elements of Set Theory written by Herbert B. Enderton and published by Academic Press. This book was released on 1977-05-23 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.

Logic, Induction and Sets

Author : Thomas Forster
Publisher : Cambridge University Press
ISBN 13 : 9780521826211
Total Pages : 244 pages
Book Rating : 4.8/5 (262 download)

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Book Synopsis Logic, Induction and Sets by : Thomas Forster

Download or read book Logic, Induction and Sets written by Thomas Forster and published by Cambridge University Press. This book was released on 2003-07-21 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philosophical considerations, which are often ignored or treated casually, are given careful consideration in this introduction. Thomas Forster places the notion of inductively defined sets (recursive datatypes) at the center of his exposition resulting in an original analysis of well established topics. The presentation illustrates difficult points and includes many exercises. Little previous knowledge of logic is required and only a knowledge of standard undergraduate mathematics is assumed.

Computational Logic and Set Theory

Author : Jacob T. Schwartz
Publisher : Springer Science & Business Media
ISBN 13 : 0857298089
Total Pages : 426 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Computational Logic and Set Theory by : Jacob T. Schwartz

Download or read book Computational Logic and Set Theory written by Jacob T. Schwartz and published by Springer Science & Business Media. This book was released on 2011-07-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

Introductory Logic and Sets for Computer Scientists

Author : Nimal Nissanke
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 410 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introductory Logic and Sets for Computer Scientists by : Nimal Nissanke

Download or read book Introductory Logic and Sets for Computer Scientists written by Nimal Nissanke and published by Addison Wesley Publishing Company. This book was released on 1999 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. It covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics, whilst taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose. Features Particular emphasis is placed on the application of logic in the fields of software engineering, artificial intelligence and natural language processing 0201179571B04062001

Concise Introduction to Logic and Set Theory

Author : Iqbal H. Jebril
Publisher : CRC Press
ISBN 13 : 0429665989
Total Pages : 171 pages
Book Rating : 4.4/5 (296 download)

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Book Synopsis Concise Introduction to Logic and Set Theory by : Iqbal H. Jebril

Download or read book Concise Introduction to Logic and Set Theory written by Iqbal H. Jebril and published by CRC Press. This book was released on 2021-09-30 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with two important branches of mathematics, namely, logic and set theory. Logic and set theory are closely related and play very crucial roles in the foundation of mathematics, and together produce several results in all of mathematics. The topics of logic and set theory are required in many areas of physical sciences, engineering, and technology. The book offers solved examples and exercises, and provides reasonable details to each topic discussed, for easy understanding. The book is designed for readers from various disciplines where mathematical logic and set theory play a crucial role. The book will be of interested to students and instructors in engineering, mathematics, computer science, and technology.

Set Theory and Logic

Author : Robert R. Stoll
Publisher : Courier Corporation
ISBN 13 : 0486139646
Total Pages : 516 pages
Book Rating : 4.4/5 (861 download)

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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 516 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.

Logic for Mathematicians

Author : J. Barkley Rosser
Publisher : Courier Dover Publications
ISBN 13 : 0486468984
Total Pages : 587 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Logic for Mathematicians by : J. Barkley Rosser

Download or read book Logic for Mathematicians written by J. Barkley Rosser and published by Courier Dover Publications. This book was released on 2008-12-18 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examination of essential topics and theorems assumes no background in logic. "Undoubtedly a major addition to the literature of mathematical logic." — Bulletin of the American Mathematical Society. 1978 edition.

Elements of Logic via Numbers and Sets

Author : D.L. Johnson
Publisher : Springer Science & Business Media
ISBN 13 : 1447106032
Total Pages : 179 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Elements of Logic via Numbers and Sets by : D.L. Johnson

Download or read book Elements of Logic via Numbers and Sets written by D.L. Johnson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

Set Theory, Logic and Their Limitations

Author : Moshe Machover
Publisher : Cambridge University Press
ISBN 13 : 9780521479981
Total Pages : 304 pages
Book Rating : 4.4/5 (799 download)

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Book Synopsis Set Theory, Logic and Their Limitations by : Moshe Machover

Download or read book Set Theory, Logic and Their Limitations written by Moshe Machover and published by Cambridge University Press. This book was released on 1996-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introduction to set theory and logic that starts completely from scratch. The text is accompanied by many methodological remarks and explanations. A rigorous axiomatic presentation of Zermelo-Fraenkel set theory is given, demonstrating how the basic concepts of mathematics have apparently been reduced to set theory. This is followed by a presentation of propositional and first-order logic. Concepts and results of recursion theory are explained in intuitive terms, and the author proves and explains the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics or philosophy this book provides an excellent introduction to logic and set theory.

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:

Problems in Set Theory, Mathematical Logic and the Theory of Algorithms

Author : Igor Lavrov
Publisher : Springer Science & Business Media
ISBN 13 : 1461501857
Total Pages : 288 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by : Igor Lavrov

Download or read book Problems in Set Theory, Mathematical Logic and the Theory of Algorithms written by Igor Lavrov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems in Set Theory, Mathematical Logic and the Theory of Algorithms by I. Lavrov & L. Maksimova is an English translation of the fourth edition of the most popular student problem book in mathematical logic in Russian. It covers major classical topics in proof theory and the semantics of propositional and predicate logic as well as set theory and computation theory. Each chapter begins with 1-2 pages of terminology and definitions that make the book self-contained. Solutions are provided. The book is likely to become an essential part of curricula in logic.

Notes on Logic and Set Theory

Author : P. T. Johnstone
Publisher : Cambridge University Press
ISBN 13 : 9780521335027
Total Pages : 128 pages
Book Rating : 4.3/5 (35 download)

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Book Synopsis Notes on Logic and Set Theory by : P. T. Johnstone

Download or read book Notes on Logic and Set Theory written by P. T. Johnstone and published by Cambridge University Press. This book was released on 1987-10-08 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: A succinct introduction to mathematical logic and set theory, which together form the foundations for the rigorous development of mathematics. Suitable for all introductory mathematics undergraduates, Notes on Logic and Set Theory covers the basic concepts of logic: first-order logic, consistency, and the completeness theorem, before introducing the reader to the fundamentals of axiomatic set theory. Successive chapters examine the recursive functions, the axiom of choice, ordinal and cardinal arithmetic, and the incompleteness theorems. Dr. Johnstone has included numerous exercises designed to illustrate the key elements of the theory and to provide applications of basic logical concepts to other areas of mathematics.

Mathematical Logic

Author : Roman Kossak
Publisher : Springer
ISBN 13 : 3319972987
Total Pages : 188 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Mathematical Logic by : Roman Kossak

Download or read book Mathematical Logic written by Roman Kossak and published by Springer. This book was released on 2018-10-03 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, presented in two parts, offers a slow introduction to mathematical logic, and several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions. Its first part, Logic Sets, and Numbers, shows how mathematical logic is used to develop the number structures of classical mathematics. The exposition does not assume any prerequisites; it is rigorous, but as informal as possible. All necessary concepts are introduced exactly as they would be in a course in mathematical logic; but are accompanied by more extensive introductory remarks and examples to motivate formal developments. The second part, Relations, Structures, Geometry, introduces several basic concepts of model theory, such as first-order definability, types, symmetries, and elementary extensions, and shows how they are used to study and classify mathematical structures. Although more advanced, this second part is accessible to the reader who is either already familiar with basic mathematical logic, or has carefully read the first part of the book. Classical developments in model theory, including the Compactness Theorem and its uses, are discussed. Other topics include tameness, minimality, and order minimality of structures. The book can be used as an introduction to model theory, but unlike standard texts, it does not require familiarity with abstract algebra. This book will also be of interest to mathematicians who know the technical aspects of the subject, but are not familiar with its history and philosophical background.