Download Full eBooks in PDF
Introduction To Mathematical Logic And Its Applications Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Introduction To Mathematical Logic And Its Applications book. This book definitely worth reading, it is an incredibly well-written.
Author : Elliott Mendelson
Publisher : Van Nostrand Reinhold Company
Page : 344 pages
File Size : 49,5 Mb
Release : 1979
Category : Mathematics
ISBN : UOM:39015039000214
Author : Elliot Mendelsohn
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461572886
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 : Elliott Mendelson
Publisher : CRC Press
Page : 464 pages
File Size : 47,9 Mb
Release : 1997-06-01
Category : Mathematics
ISBN : 0412808307
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 : Ira Rosenbaum
Publisher : Unknown
Page : 110 pages
File Size : 46,6 Mb
Release : 1950
Category : Logic, Symbolic and mathematical
ISBN : UOM:39015017298277
Author : Rudolf Carnap
Publisher : Courier Corporation
Page : 272 pages
File Size : 41,7 Mb
Release : 2012-07-12
Category : Mathematics
ISBN : 9780486143491
Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.
Author : Edmund Burke,Eric Foxley
Publisher : Unknown
Page : 336 pages
File Size : 46,5 Mb
Release : 1996
Category : Computers
ISBN : UOM:39015037483461
This book is an introduction to mathematical logic and its application to the field of computer science. Starting with the first principles of logic, the theory is reinforced by detailed applications.
Author : Wolfgang Rautenberg
Publisher : Springer
Page : 337 pages
File Size : 43,7 Mb
Release : 2010-07-01
Category : Mathematics
ISBN : 9781441912213
Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.
Author : Dimiter G. Skordev
Publisher : Springer Science & Business Media
Page : 366 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461308973
The Summer School and Conference on Mathematical Logic and its Applications, September 24 - October 4, 1986, Druzhba, Bulgaria, was honourably dedicated to the 80-th anniversary of Kurt Godel (1906 - 1978), one of the greatest scientists of this (and not only of this) century. The main topics of the Meeting were: Logic and the Foundation of Mathematics; Logic and Computer Science; Logic, Philosophy, and the Study of Language; Kurt Godel's life and deed. The scientific program comprised 5 kinds of activities, namely: a) a Godel Session with 3 invited lecturers b) a Summer School with 17 invited lecturers c) a Conference with 13 contributed talks d) Seminar talks (one invited and 12 with no preliminary selection) e) three discussions The present volume reflects an essential part of this program, namely 14 of the invited lectures and all of the contributed talks. Not presented in the volltme remai ned si x of the i nvi ted lecturers who di d not submi t texts: Yu. Ershov - The Language of!:-expressions and its Semantics; S. Goncharov - Mathematical Foundations of Semantic Programming; Y. Moschovakis - Foundations of the Theory of Algorithms; N. Nagornyj - Is Realizability of Propositional Formulae a GBdelean Property; N. Shanin - Some Approaches to Finitization of Mathematical Analysis; V. Uspensky - Algorithms and Randomness - joint with A.N.
Author : Christopher C. Leary,Lars Kristiansen
Publisher : Lulu.com
Page : 382 pages
File Size : 48,7 Mb
Release : 2015
Category : Education
ISBN : 9781942341079
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 : Andreas Blass,Yi Zhang
Publisher : American Mathematical Soc.
Page : 314 pages
File Size : 46,5 Mb
Release : 2005
Category : Algebraic geometry
ISBN : 9780821834749
Two conferences, Logic and Its Applications in Algebra and Geometry and Combinatorial Set Theory, Excellent Classes, and Schanuel Conjecture, were held at the University of Michigan (Ann Arbor). These events brought together model theorists and set theorists working in these areas. This volume is the result of those meetings. It is suitable for graduate students and researchers working in mathematical logic.
Author : Dimiter G Skordev
Publisher : Unknown
Page : 388 pages
File Size : 53,8 Mb
Release : 1988-03-31
Category : Electronic
ISBN : 1461308984
Author : Joseph Mileti
Publisher : Cambridge University Press
Page : 518 pages
File Size : 46,5 Mb
Release : 2022-08-31
Category : Mathematics
ISBN : 9781108968195
This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject.
Author : Stefan Bilaniuk
Publisher : Orange Groove Books
Page : 166 pages
File Size : 41,7 Mb
Release : 2009-09-01
Category : Mathematics
ISBN : 1616100060
Author : Herbert B. Enderton
Publisher : Elsevier
Page : 330 pages
File Size : 49,6 Mb
Release : 2001-01-23
Category : Computers
ISBN : 9780080496467
A Mathematical Introduction to Logic
Author : Richard E. Hodel
Publisher : Courier Corporation
Page : 514 pages
File Size : 44,8 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486497853
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.
