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Isabelle : a generic theorem prover / Lawrence C. Paulson ; with contributions by Robias Nipkow.

By: Material type: TextTextSeries: Lecture notes in computer science ; 828.Publication details: Berlin ; New York : Springer-Verlag, ©1994.Description: 1 online resource (xvii, 321 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540485865
  • 3540485864
Subject(s): Additional physical formats: Print version:Paulson, Lawrence C.: Isabelle.DDC classification:
  • 511.3/0285/53 20
LOC classification:
  • QA76.9.A96 P38 1994
Online resources:
Contents:
Foundations -- Getting started with Isabelle -- Advanced methods -- Basic use of Isabelle -- Proof management: The subgoal module -- Tactics -- Tacticals -- Theorems and forward proof -- Theories, terms and types -- Defining logics -- Syntax transformations -- Substitution tactics -- Simplification -- The classical reasoner -- Basic concepts -- First-order logic -- Zermelo-Fraenkel set theory -- Higher-order logic -- First-order sequent calculus -- Constructive Type Theory -- Syntax of Isabelle Theories.
Summary: As a generic theorem prover, Isabelle supports a variety of logics. Distinctive features include Isabelle's representation of logics within a meta-logic and the use of higher-order unification to combine inference rules. Isabelle can be applied to reasoning in pure mathematics or verification of computer systems. This volume constitutes the Isabelle documentation. It begins by outlining theoretical aspects and then demonstrates the use in practice. Virtually all Isabelle functions are described, with advice on correct usage and numerous examples. Isabelle's built-in logics are also described in detail. There is a comprehensive bebliography and index. The book addresses prospective users of Isabelle as well as researchers in logic and automated reasoning.
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Includes bibliographical references and index.

As a generic theorem prover, Isabelle supports a variety of logics. Distinctive features include Isabelle's representation of logics within a meta-logic and the use of higher-order unification to combine inference rules. Isabelle can be applied to reasoning in pure mathematics or verification of computer systems. This volume constitutes the Isabelle documentation. It begins by outlining theoretical aspects and then demonstrates the use in practice. Virtually all Isabelle functions are described, with advice on correct usage and numerous examples. Isabelle's built-in logics are also described in detail. There is a comprehensive bebliography and index. The book addresses prospective users of Isabelle as well as researchers in logic and automated reasoning.

Foundations -- Getting started with Isabelle -- Advanced methods -- Basic use of Isabelle -- Proof management: The subgoal module -- Tactics -- Tacticals -- Theorems and forward proof -- Theories, terms and types -- Defining logics -- Syntax transformations -- Substitution tactics -- Simplification -- The classical reasoner -- Basic concepts -- First-order logic -- Zermelo-Fraenkel set theory -- Higher-order logic -- First-order sequent calculus -- Constructive Type Theory -- Syntax of Isabelle Theories.

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