Loop-free calculus for modal logic S4. I |
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Authors: | Julius Andrikonis |
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Institution: | 1. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, Vilnius, LT-03225, Lithuania
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Abstract: | In the article, loop-free calculus for modal logic S4 is presented. To restrict applications of reflexivity and transitivity rules, several types of indexes are used. The use
of indexes replaces the need to keep the history of previous applications of the rules. The article details the purpose of
each type of index and proves that derivation search in the calculus is finite. |
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Keywords: | |
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