Shortest Axiomatizations of Implicational S4 and S5

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Shortest Axiomatizations of Implicational S4 and S5

Shortest possible axiomatizations for the implicational fragments of the modal logics S4 and S5 are reported. Among these axiomatizations is included a shortest single axiom for implicational S4—which to our knowledge is the first reported single axiom for that system—and several new shortest single axioms for implicational S5. A variety of automated reasoning strategies were essential to our d...

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ژورنال

عنوان ژورنال: Notre Dame Journal of Formal Logic

سال: 2002

ISSN: 0029-4527

DOI: 10.1305/ndjfl/1074290715