Abstract
Shortest possible axiomatizations for the strict 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 discoveries.
Citation
Zachary Ernst. Branden Fitelson. Kenneth Harris. Larry Wos. "Shortest Axiomatizations of Implicational S4 and S5." Notre Dame J. Formal Logic 43 (3) 169 - 179, 2002. https://doi.org/10.1305/ndjfl/1074290715
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