ID-logic uses ideas from the field of logic programming to extend second order logic with non-monotone inductive defintions. In this work, we reformulate the semantics of this lo...
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Abstract: Optimizations in compilers are the most error-prone phases in the compilation process. Since correct compilers are a vital precondition for software correctness, it is ne...
We define a generic notion of cut that applies to many first-order theories. We prove a generic cut elimination theorem showing that the cut elimination property holds for all theo...
In this paper, we describe a Prolog implementation of a new theorem prover for (normal propositional) modal and multi–modal logics. The theorem prover, which is called KEM, arise...
Alberto Artosi, Paola Cattabriga, Guido Governator...