The method of axiomatic rejection for the intuitionistic propositional logic

Studia Logica 48 (4):449 - 459 (1989)
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.
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DOI 10.1007/BF00370199
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