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Introduction to mathematical logic



Autor: Mendelson, Elliott
Rok: 1997
ISBN: 9780412808302
OKCZID: 110073870
Vydání: 4th ed.

Citace (dle ČSN ISO 690):
MENDELSON, Elliott. Introduction to mathematical logic. 4th ed. New York: Chapman & Hall, 1997. x, 440 s.

Hodnocení: 4.0 / 5 (6 hlasů)


Anotace

 

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:opropositional logicofirst-order logicofirst-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarskioaxiomatic set theoryotheory of computabilityThe 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.


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