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A course on mathematical logic

Auteur: S M Srivastava
Uitgever: New York : Springer, ©2008.
Serie: Universitext.
Editie/Formaat:   Boek : EngelsAlle edities en materiaalsoorten bekijken.
Database:WorldCat
Samenvatting:

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  Meer lezen...

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Genre: Internetbron
Soort document: Boek, Internetbron
Alle auteurs / medewerkers: S M Srivastava
ISBN: 9780387762753 0387762752
OCLC-nummer: 180470520
Beschrijving: x, 140 p. ; 23 cm.
Inhoud: 1. Syntax of First-Order Logic --
First-order languages --
Terms of a language --
Formulas of a language --
First-order theories --
2. Semantics of First-Order Languages --
Structures of first-order languages --
Truth in a structure --
Model of a theory --
Embeddings and isomorphisms --
3. Propositional Logic --
Syntax of propositional logic --
Semantics of propositional logic --
Compactness theorem for propositional logic --
Proof in propositional logic --
Metatheorems in propositional logic --
Post tautology theorem --
4. Proof and Metatheorems in First-Order Logic --
Proof in first-order logic --
Metatheorems in first-order logic --
Some metatheorems in arithmetic --
Consistency and completeness --
5. Completeness Theorem and Model Theory --
Completeness theorem --
Interpretations in a theory --
Extension by definitions --
Compactness theorem and applications --
Complete theories --
Applications in algebra --
6. Recursive Functions and Arithmetization of Theories --
Recursive functions and recursive predicates --
Semirecursive predicates --
Arithmetization of theories --
Decidable theories --
7. Incompleteness Theorems and Recursion Theory --
Representability --
First incompleteness theorem --
Arithmetical sets --
Recursive extensions of peano arithemetic --
Second incompleteness theorem.
Serietitel: Universitext.
Verantwoordelijkheid: S.M. Srivastava.
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From the reviews: "This is an introductory textbook on modern mathematical logic, aimed at upper-level undergraduates. ... The book is well-equipped with examples ... ." (Allen Stenger, MathDL, July, Meer lezen...

 
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