We use Girard's linear logic (LL) to produce a semantics for Gamma, a multiset transformation language. The semantics improves on the existing structured operational semantics...
In this paper we propose a version of default logic with the following two properties: (1) defaults with mutually inconsistent justications are never used together in constructing ...
In this paper we propose a logic programming language which supports hypothetical updates together with integrity constraints. The language allows sequences of updates by sets of a...
Dov M. Gabbay, Laura Giordano, Alberto Martelli, N...
We present an automated proof method for constructive logic based on Wallen’s matrix characterization for intuitionistic validity. The proof search strategy extends Bibel’s con...
We present new proofs of cut elimination for intuitionistic, classical, and linear sequent calculi. In all cases the proofs proceed by three nested structural inductions, avoiding...