rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Logic: A Brief Course
  name:
    name part: Mundici, Daniele.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: it
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 130 p. online resource.
  abstract: 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.
  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.
  note: by Daniele Mundici.
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical logic
  subject:
    topic: Semantics
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Mathematical Logic and Formal Languages
  subject:
    topic: Semantics
  classification: QA8.9-10.3
  classification: 511.3
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: UNITEXT
  identifier: 9788847023611
  identifier: http://dx.doi.org/10.1007/978-88-470-2361-1
  record info:
    record creation date: 120329
    record change date: 20151123160343.0
    record identifier: 978-88-470-2361-1