mathematical logic part 1 propositional calculus boolean algebras predicate calculus a course with exercises

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Mathematical Logic Part 1

Author : René Cori
ISBN : 9780191589775
Genre : Mathematics
File Size : 44. 67 MB
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Logic forms the basis of mathematics, and is hence a fundamental part of any mathematics course. In particular, it is a major element in theoretical computer science and has undergone a huge revival with the explosion of interest in computers and computer science. This book provides students with a clear and accessible introduction to this important subject. The concept of model underlies the whole book, giving the text a theoretical coherence whilst still covering a wide area of logic.

Mathematical Logic

Author :
ISBN : OCLC:923884881
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File Size : 39. 15 MB
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A Course In Mathematical Logic For Mathematicians

Author : Yu. I. Manin
ISBN : 9781441906151
Genre : Mathematics
File Size : 50. 36 MB
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1. The ?rst edition of this book was published in 1977. The text has been well received and is still used, although it has been out of print for some time. In the intervening three decades, a lot of interesting things have happened to mathematical logic: (i) Model theory has shown that insights acquired in the study of formal languages could be used fruitfully in solving old problems of conventional mathematics. (ii) Mathematics has been and is moving with growing acceleration from the set-theoretic language of structures to the language and intuition of (higher) categories, leaving behind old concerns about in?nities: a new view of foundations is now emerging. (iii) Computer science, a no-nonsense child of the abstract computability theory, has been creatively dealing with old challenges and providing new ones, such as the P/NP problem. Planning additional chapters for this second edition, I have decided to focus onmodeltheory,the conspicuousabsenceofwhichinthe ?rsteditionwasnoted in several reviews, and the theory of computation, including its categorical and quantum aspects. The whole Part IV: Model Theory, is new. I am very grateful to Boris I. Zilber, who kindly agreed to write it. It may be read directly after Chapter II. The contents of the ?rst edition are basically reproduced here as Chapters I–VIII. Section IV.7, on the cardinality of the continuum, is completed by Section IV.7.3, discussing H. Woodin’s discovery.

Introduction To Mathematical Logic Sixth Edition

Author : Elliott Mendelson
ISBN : 9781482237788
Genre : Mathematics
File Size : 71. 92 MB
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The new edition of this classic textbook, Introduction to Mathematical Logic, Sixth Edition explores the principal topics of mathematical logic. It covers propositional logic, first-order logic, first-order number theory, axiomatic set theory, and the theory of computability. The text also discusses the major results of Gödel, Church, Kleene, Rosser, and Turing. The sixth edition incorporates recent work on Gödel’s second incompleteness theorem as well as restoring an appendix on consistency proofs for first-order arithmetic. This appendix last appeared in the first edition. It is offered in the new edition for historical considerations. The text also offers historical perspectives and many new exercises of varying difficulty, which motivate and lead students to an in-depth, practical understanding of the material.

A Course In Mathematical Logic

Author : John Lane Bell
ISBN : 9780080934747
Genre : Logic, Symbolic and mathematical
File Size : 54. 98 MB
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A comprehensive one-year graduate (or advanced undergraduate) course in mathematical logic and foundations of mathematics. No previous knowledge of logic is required; the book is suitable for self-study. Many exercises (with hints) are included.

Logic As Algebra

Author : Paul Halmos
ISBN : 0883853272
Genre : Mathematics
File Size : 79. 38 MB
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An introduction to logic from the perspective of algebra.

Boolean Reasoning

Author : Frank Markham Brown
ISBN : 9780486164595
Genre : Mathematics
File Size : 53. 15 MB
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Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.

Mathematical Logic

Author : J.D. Monk
ISBN : 9781468494525
Genre : Mathematics
File Size : 85. 23 MB
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From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data." There are 31 chapters in 5 parts and approximately 320 exercises marked by difficulty and whether or not they are necessary for further work in the book.

Propositional And Predicate Calculus A Model Of Argument

Author : Derek Goldrei
ISBN : 1846282292
Genre : Mathematics
File Size : 41. 5 MB
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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.

Mathematical Logic For Computer Science

Author : Mordechai Ben-Ari
ISBN : 9781447141297
Genre : Mathematics
File Size : 29. 45 MB
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Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems. The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic for the verification of concurrent programs. The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.

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