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Author : Alonzo Church
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.:/5 (128 download)
Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by . This book was released on 1996 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alonzo Church
Publisher : Princeton University Press
ISBN 13 : 9780691029061
Total Pages : 396 pages
Book Rating : 4.0/5 (29 download)
Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by Princeton University Press. This book was released on 1996 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Author : Alonzo Church
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (493 download)
Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by . This book was released on 1994 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolfgang Rautenberg
Publisher : Springer Science & Business Media
ISBN 13 : 0387342419
Total Pages : 273 pages
Book Rating : 4.3/5 (873 download)
Download or read book A Concise Introduction to Mathematical Logic written by Wolfgang Rautenberg and published by Springer Science & Business Media. This book was released on 2006-09-28 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: While there are already several well known textbooks on mathematical logic this book is unique in treating the material in a concise and streamlined fashion. This allows many important topics to be covered in a one semester course. Although the book is intended for use as a graduate text the first three chapters can be understood by undergraduates interested in mathematical logic. The remaining chapters contain material on logic programming for computer scientists, model theory, recursion theory, Godel’s Incompleteness Theorems, and applications of mathematical logic. Philosophical and foundational problems of mathematics are discussed throughout the text.
Author : Elliot Mendelsohn
Publisher : Springer Science & Business Media
ISBN 13 : 1461572886
Total Pages : 351 pages
Book Rating : 4.4/5 (615 download)
Download or read book Introduction to Mathematical Logic written by Elliot Mendelsohn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a compact mtroduction to some of the pnncipal tOpICS of mathematical logic . In the belief that beginners should be exposed to the most natural and easiest proofs, I have used free-swinging set-theoretic methods. The significance of a demand for constructive proofs can be evaluated only after a certain amount of experience with mathematical logic has been obtained. If we are to be expelled from "Cantor's paradise" (as nonconstructive set theory was called by Hilbert), at least we should know what we are missing. The major changes in this new edition are the following. (1) In Chapter 5, Effective Computability, Turing-computabIlity IS now the central notion, and diagrams (flow-charts) are used to construct Turing machines. There are also treatments of Markov algorithms, Herbrand-Godel-computability, register machines, and random access machines. Recursion theory is gone into a little more deeply, including the s-m-n theorem, the recursion theorem, and Rice's Theorem. (2) The proofs of the Incompleteness Theorems are now based upon the Diagonalization Lemma. Lob's Theorem and its connection with Godel's Second Theorem are also studied. (3) In Chapter 2, Quantification Theory, Henkin's proof of the completeness theorem has been postponed until the reader has gained more experience in proof techniques. The exposition of the proof itself has been improved by breaking it down into smaller pieces and using the notion of a scapegoat theory. There is also an entirely new section on semantic trees.
Author : Michal Walicki
Publisher : World Scientific Publishing Company
ISBN 13 : 9814719986
Total Pages : 302 pages
Book Rating : 4.8/5 (147 download)
Download or read book Introduction To Mathematical Logic (Extended Edition) written by Michal Walicki and published by World Scientific Publishing Company. This book was released on 2016-08-12 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students.Starting with the basics of set theory, induction and computability, it covers propositional and first order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts.Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers.An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic.This revised edition contains also, besides many new exercises, a new chapter on semantic paradoxes. An equivalence of logical and graphical representations allows us to see vicious circularity as the odd cycles in the graphical representation and can be used as a simple tool for diagnosing paradoxes in natural discourse.
Author : Elliott Mendelson
Publisher : CRC Press
ISBN 13 : 9780412808302
Total Pages : 464 pages
Book Rating : 4.8/5 (83 download)
Download or read book Introduction to Mathematical Logic, Fourth Edition written by Elliott Mendelson and published by CRC Press. This book was released on 1997-06-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them. Introduction to Mathematical Logic includes: propositional logic first-order logic first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski axiomatic set theory theory of computability The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.
Author : Alonzo Church
Publisher :
ISBN 13 : 9781258620318
Total Pages : 388 pages
Book Rating : 4.6/5 (23 download)
Download or read book Introduction to Mathematical Logic, V1 written by Alonzo Church and published by . This book was released on 2013-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alonso Church
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (849 download)
Download or read book Introduction to Mathematical Logic written by Alonso Church and published by . This book was released on 1998 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alonzo Church
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (31 download)
Download or read book Introduction to Mathematical Logic written by Alonzo Church and published by . This book was released on 1965 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elliott Mendelson
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584888765
Total Pages : 494 pages
Book Rating : 4.8/5 (887 download)
Download or read book Introduction to Mathematical Logic, Fifth Edition written by Elliott Mendelson and published by Chapman and Hall/CRC. This book was released on 2009-08-11 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Retaining all the key features of the previous editions, Introduction to Mathematical Logic, Fifth 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. New to the Fifth Edition A new section covering basic ideas and results about nonstandard models of number theory A second appendix that introduces modal propositional logic An expanded bibliography Additional exercises and selected answers This long-established text continues to expose students to natural proofs and set-theoretic methods. Only requiring some experience in abstract mathematical thinking, it offers enough material for either a one- or two-semester course on mathematical logic.
Author : Elliott Mendelson
Publisher :
ISBN 13 : 9780534253073
Total Pages : 328 pages
Book Rating : 4.2/5 (53 download)
Download or read book Intro To Mathematical Logic written by Elliott Mendelson and published by . This book was released on 1979-01-01 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Flora Dinkines
Publisher :
ISBN 13 : 9780134874708
Total Pages : 122 pages
Book Rating : 4.8/5 (747 download)
Download or read book Introduction to Mathematical Logic written by Flora Dinkines and published by . This book was released on 1964 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard E. Hodel
Publisher : Courier Corporation
ISBN 13 : 0486497852
Total Pages : 514 pages
Book Rating : 4.4/5 (864 download)
Download or read book An Introduction to Mathematical Logic written by Richard E. Hodel and published by Courier Corporation. This book was released on 2013-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.
Author : Christopher C. Leary
Publisher : Lulu.com
ISBN 13 : 1942341075
Total Pages : 382 pages
Book Rating : 4.9/5 (423 download)
Download or read book A Friendly Introduction to Mathematical Logic written by Christopher C. Leary and published by Lulu.com. This book was released on 2015 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.
Author : Herbert Enderton
Publisher : Academic Press
ISBN 13 : 9780123869777
Total Pages : 0 pages
Book Rating : 4.8/5 (697 download)
Download or read book A Mathematical Introduction to Logic written by Herbert Enderton and published by Academic Press. This book was released on 2020-02-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning.
Author : Shashi Mohan Srivastava
Publisher : Springer Science & Business Media
ISBN 13 : 0387762779
Total Pages : 153 pages
Book Rating : 4.3/5 (877 download)
Download or read book A Course on Mathematical Logic written by Shashi Mohan Srivastava and published by Springer Science & Business Media. This book was released on 2008-02-15 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a distinctive, well-motivated introduction to mathematical logic. It starts with the definition of first order languages, proceeds through propositional logic, completeness theorems, and finally the two Incompleteness Theorems of Godel.
