Valuation semantics for intuitionistic propositional calculus and some of its subcalculi

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Synopsis

In this paper, we present valuation semantics for the Propositional Intuitionistic Calculus (also called Heyting Calculus) and three important subcalculi: the Implicative, the Positive and the Minimal Calculus (also known as Kolmogoroff or Johansson Calculus). Algorithms based in our definitions yields decision methods for these calculi.

Author Biography

Andrea M. Loparić, University of São Paulo

Professora Sênior pela Universidade de São Paulo (USP).

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Published

August 21, 2025