This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of GΓΆdel's completeness theorem and its main consequences is given using Robinson's completeness theorem and GΓΆdel's compactness theo
Logic: a brief course
β Scribed by Mundici, Daniele
- Publisher
- Springer
- Year
- 2012
- Tongue
- English
- Leaves
- 132
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Introduction.- Fundamental Logical Notions.- The Resolution Method.- Robinson Completeness Theorem.- Fast Classes for DPP.- Godel Compactness Theorem.- Propositional Logic: Syntax.- Propositional Logic: Semantics.- Normal Forms.- Recap: Expressivity and Efficiency.- The Quantifiers 'There Exists' and 'For All'.- Syntax of Predicate Logic.- The Meaning of Clauses.- Godel Completeness Theorem for the Logic of Clauses.- Equality Axioms.- The Predicate Logic L.
β¦ Subjects
Logic, Symbolic and mathematical;Mathematische Logik;Lehrbuch
π SIMILAR VOLUMES
<p>This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of GΓΆdel's completeness theorem and its main consequences is given using Robinson's completeness theorem and GΓΆdel's compactness t
<p>This short book, geared towards undergraduate students of computer science and mathematics, is specifically designed for a first course in mathematical logic. A proof of GΓΆdel's completeness theorem and its main consequences is given using Robinson's completeness theorem and GΓΆdel's compactness t
Priest explores the philosophical roots of logic, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, Priest lays out the basics of formal logic in simple, nontechnical terms.;V
A more complete introduction of the author can be found in the book.