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Journal of Automated Reasoning

, Volume 7, Issue 4, pp 537–561 | Cite as

Computations in fragments of intuitionistic propositional logic

  • Dick De Jongh
  • Lex Hendriks
  • Gerard R. Renardel De Lavalette
Article

Abstract

This article is a report on research in progress into the structure of finite diagrams of intuitionistic propositional logic with the aid of automated reasoning systems for larger calculations. Afragment of a propositional logic is the set of formulae built up from a finite number of propositional variables by means of a number of connectives of the logic, among which possibly non-standard ones like ¬¬ or ↔ which are studied here. Thediagram of that fragment is the set of equivalence classes of its formulae partially ordered by the derivability relation. N.G. de Bruijn's concept of exact model has been used to construct subdiagrams of the [p, q, ∧, →, ¬]-fragment.

Key words

Intuitionistic propositional logic fragment diagram mechanical theorem proving 

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Copyright information

© Kluwer Academic Publishers 1991

Authors and Affiliations

  • Dick De Jongh
    • 1
  • Lex Hendriks
    • 2
  • Gerard R. Renardel De Lavalette
    • 2
  1. 1.Department of Mathematics and Computer ScienceUniversity of AmsterdamAmsterdamThe Netherlands
  2. 2.Department of PhilosophyUniversity of UtrechtUtrechtThe Netherlands

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