From Kripke Models to Algebraic Counter-Valuations

  • Authors:

  • Sara Negri;Jan von Plato

  • Affiliations:

  • -;-

  • Venue:
  • TABLEAUX '98 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
  • Year:
  • 1998

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Abstract

Starting with a derivation in the refutation calculus CRIP of Pinto and Dyckhoff, we give a constructive algebraic method for determining the values of formulas of intuitionistic propositional logic in a counter-model. The values of compound formulas are computed point-wise from the values on atoms, in contrast to the non-local determination of forcing relations in a Kripke model based on classical reasoning.