Zum Hauptinhalt springen Zur Suche springen Zur Hauptnavigation springen
Dekorationsartikel gehören nicht zum Leistungsumfang.
An Introduction to Mathematical Logic and Type Theory
To Truth Through Proof
Buch von Peter B. Andrews
Sprache: Englisch

114,95 €*

-17 % UVP 139,09 €
inkl. MwSt.

Versandkostenfrei per Post / DHL

Lieferzeit 1-2 Wochen

Produkt Anzahl: Gib den gewünschten Wert ein oder benutze die Schaltflächen um die Anzahl zu erhöhen oder zu reduzieren.
Kategorien:
Beschreibung
In case you are considering to adopt this book for courses with over 50 students, please contact [...] for more information.

This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability.
The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory.
Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises.
Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
In case you are considering to adopt this book for courses with over 50 students, please contact [...] for more information.

This introduction to mathematical logic starts with propositional calculus and first-order logic. Topics covered include syntax, semantics, soundness, completeness, independence, normal forms, vertical paths through negation normal formulas, compactness, Smullyan's Unifying Principle, natural deduction, cut-elimination, semantic tableaux, Skolemization, Herbrand's Theorem, unification, duality, interpolation, and definability.
The last three chapters of the book provide an introduction to type theory (higher-order logic). It is shown how various mathematical concepts can be formalized in this very expressive formal language. This expressive notation facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand. The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory.
Some of the numerous exercises require giving formal proofs. A computer program called ETPS which is available from the web facilitates doing and checking such exercises.
Audience: This volume will be of interest to mathematicians, computer scientists, and philosophers in universities, as well as to computer scientists in industry who wish to use higher-order logic for hardware and software specification and verification.
Zusammenfassung

Facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand

The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory

Includes supplementary material: [...]

Inhaltsverzeichnis
0 Introduction.- 1 Propositional Calculus.- 2 First-Order Logic.- 3 Provability and Refutability.- 4 Further Topics in First-Order Logic.- 5 Type Theory.- 6 Formalized Number Theory.- 7 Incompleteness and Undecidability.- Supplementary Exercises.- Summary of Theorems.- List of Figures.
Details
Erscheinungsjahr: 2002
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
390 S.
ISBN-13: 9781402007637
ISBN-10: 1402007639
Sprache: Englisch
Einband: Gebunden
Autor: Andrews, Peter B.
Auflage: Second Edition 2002
Hersteller: Springer Netherland
Springer Netherlands
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 246 x 165 x 28 mm
Von/Mit: Peter B. Andrews
Erscheinungsdatum: 31.07.2002
Gewicht: 0,823 kg
Artikel-ID: 103209112
Zusammenfassung

Facilitates proofs of the classical incompleteness and undecidability theorems which are very elegant and easy to understand

The discussion of semantics makes clear the important distinction between standard and nonstandard models which is so important in understanding puzzling phenomena such as the incompleteness theorems and Skolem's Paradox about countable models of set theory

Includes supplementary material: [...]

Inhaltsverzeichnis
0 Introduction.- 1 Propositional Calculus.- 2 First-Order Logic.- 3 Provability and Refutability.- 4 Further Topics in First-Order Logic.- 5 Type Theory.- 6 Formalized Number Theory.- 7 Incompleteness and Undecidability.- Supplementary Exercises.- Summary of Theorems.- List of Figures.
Details
Erscheinungsjahr: 2002
Fachbereich: Grundlagen
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xviii
390 S.
ISBN-13: 9781402007637
ISBN-10: 1402007639
Sprache: Englisch
Einband: Gebunden
Autor: Andrews, Peter B.
Auflage: Second Edition 2002
Hersteller: Springer Netherland
Springer Netherlands
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 246 x 165 x 28 mm
Von/Mit: Peter B. Andrews
Erscheinungsdatum: 31.07.2002
Gewicht: 0,823 kg
Artikel-ID: 103209112
Sicherheitshinweis

Ähnliche Produkte

Ähnliche Produkte