書誌事項

Proof theory and automated deduction

by Jean Goubault-Larrecq and Ian Mackie

(Applied logic series, v. 6)

Kluwer Academic, c1997

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

This text covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory. It shows how they are applied in computer science, and especially the particular field of automated deduction. That is to say, the automated search for proofs of mathematical propositions. An in-depth analysis of the basic notions is included. The author often derives the same theorem by different methods, showing how different mathematical tools can be used to get at the very nature of the objects at hand, and how these tools relate to each other. This is in an attempt to present a linear collection of results, and to show that all results and methods are tightly interwoven.

目次

1. Introduction. 2. Classical Propositional Logic. 3. Other Propositional Logics. 4. The Curry-Howard Correspondence. 5. Modal and Temporal Logics. 6. First-Order Classical Logic. 7. Resolution. 8. Tableaux, Connections and Matings. 9. Incorporating Knowledge. 10. Logic Programming Languages. Appendix A: Answers to Exercises. Appendix B: Basics of Topology.

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詳細情報

  • NII書誌ID(NCID)
    BA3092653X
  • ISBN
    • 0792345932
  • LCCN
    97018876
  • 出版国コード
    ne
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Dordrecht
  • ページ数/冊数
    xv, 424 p. :ill.
  • 大きさ
    25 cm
  • 件名
  • 親書誌ID
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