This paper discusses the relevance of a form of cut elimination theorem for linear logic tensor theories to the concept of a process on a Petri net. We base our discussion on two ...
Pure, or type-free, Linear Logic proof nets are Turing complete once cut-elimination is5 considered as computation. We introduce modal impredicativity as a new form of impredicati...
Abstract. Given two proofs in a logical system with a confluent cutelimination procedure, the cut-elimination problem (CEP) is to decide whether these proofs reduce to the same no...
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic with exponentials. In the process we elaborate a methodology for proving mat...
When logic programming is based on the proof theory of intuitionistic logic, it is natural to allow implications in goals and in the bodies of clauses. Attempting to prove a goal ...