The method of axiomatic rejection for the intuitionistic propositional logic |
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Authors: | Rafal Dutkiewicz |
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Institution: | (1) Department of Logic and Methodology of Sciences, Wroc aw University, ul. Szewska 36, 50-139 Wroc aw |
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Abstract: | We prove that the intuitionistic sentential calculus is -decidable (decidable in the sense of ukasiewicz), i.e. the sets of theses of Int and of rejected formulas are disjoint and their union is equal to all formulas. A formula is rejected iff it is a sentential variable or is obtained from other formulas by means of three rejection rules. One of the rules is original, the remaining two are ukasiewicz's rejection rules: by detachement and by substitution. We extensively use the method of Beth's semantic tableaux.To the memory of Jerzy S upeckiTranslated from the Polish by Jan Zygmunt. Preparation of this paper was supported in part by C.P.B.P. 08-15. |
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