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.
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Negri, S., von Plato, J. (1998). From Kripke Models to Algebraic Counter-Valuations. In: de Swart, H. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 1998. Lecture Notes in Computer Science(), vol 1397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69778-0_26
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DOI: https://doi.org/10.1007/3-540-69778-0_26
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