In this paper we introduce a logic for parametric polymorphism. Just as LCF is a logic for the simply-typed λ-calculus with recursion and arithmetic, our logic is a logic for Sys...
Continuing a line of work by Abramsky (1994), by Bellin and Scott (1994), and by Caires and Pfenning (2010), among others, this paper presents CP, a calculus in which propositions...
Abstract. Inconsistency handling is of growing importance in Knowledge Representation since inconsistencies may frequently occur in an open world. Paraconsistent (or inconsistency-...
We present a new calculus for first-order theorem proving with equality, ME+Sup, which generalizes both the Superposition calculus and the Model Evolution calculus (with equality)...
We investigate some fundamental properties of the reduction relation in the untyped term calculus derived from Curien and Herbelin’s λµµ. The original λµµ has a system of ...
Daniel J. Dougherty, Silvia Ghilezan, Pierre Lesca...