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Catalogue Information
Field name	Details
Dewey Class	511.3
Title	Logic: A Brief Course ([Ebook]) / by Daniele Mundici.
Author	Mundici, Daniele
Other name(s)	SpringerLink (Online service)
Publication	Milano : Springer Milan
Publication	, 2012.
Physical Details	XI, 130 pages : online resource.
Series	Unitext 2038-5714
ISBN	9788847023611
Summary Note	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 Gödel's completeness theorem and its main consequences is given using Robinson's completeness theorem and Gödel's compactness theorem for propositional logic. The reader will familiarize himself with many basic ideas and artifacts of mathematical logic: a non-ambiguous syntax, logical equivalence and consequence relation, the Davis-Putnam procedure, Tarski semantics, Herbrand models, the axioms of identity, Skolem normal forms, nonstandard models and, interestingly enough, proofs and refutations viewed as graphic objects. The mathematical prerequisites are minimal: the book is accessible to anybody having some familiarity with proofs by induction. Many exercises on the relationship between natural language and formal proofs make the book also interesting to a wide range of students of philosophy and linguistics.:
Contents note	Introduction -- Fundamental Logical Notions -- The Resolution Method -- Robinson Completeness Theorem -- Fast Classes for DPP -- Gödel Compactness Theorem -- Propositional Logic: Syntax -- Propositional Logic: Semantics -- Normal Forms -- Recap: Expressivity and Efficiency -- The Quantifiers âThere Existsâ and âFor Allâ -- Syntax of Predicate Logic -- The Meaning of Clauses -- Gödel Completeness Theorem for the Logic of Clauses -- Equality Axioms -- The Predicate Logic L.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-88-470-2361-1
Links to Related Works	Subject References: Computer Science . Logic . Logic, Symbolic and mathematical . Mathematical Logic and Formal Languages . Mathematical Logic and Foundations . Semantics . Authors: Mundici, Daniele . Corporate Authors: SpringerLink (Online service) . Series: Unitext . Classification: 511.3 . 511.3 (DDC 23) .

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Logic: A Brief Course

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