A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTT0 and LTT 0, which we...
This paper presents a game semantics for LP, Artemov's Logic of Proofs. The language of LP extends that of propositional logic by adding formula-labeling terms, permitting us...
ly positive maps (extended abstract) Peter Selinger 1 Department of Mathematics and Statistics Dalhousie University, Halifax, Nova Scotia, Canada Dagger compact closed categories ...
Modifying the methods of Z. Adamowicz's paper Herbrand consistency and bounded arithmetic (Fund. Math. 171 (2002)), we show that there exists a number n such that m Sm (the u...
It is widely recognized today that the management of imprecision and vagueness will yield more intelligent and realistic knowledge-based applications. Description Logics (DLs) are...
Giorgos Stoilos, Giorgos B. Stamou, Jeff Z. Pan, V...