Valuation Semantics for Intuitionic Propositional Calculus and some of its Subcalculi

Abstract

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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.

Keywords

• Intuitionism
• minimal calculus
• valuation semantics
• valuation tables