The verification of safety critical systems has become an area of increasing importance in computer science. The notion of reactive system has emerged to concentrate on problems r...
Abstract. We present a set of problems that may support the development of calculi and theorem provers for classical higher-order logic. We propose to employ these test problems as...
— Invariant based programming is an approach to program construction where we provide the program pre- and postconditions as well as loop invariants before we construct the code ...
We present a fully proof-producing implementation of a quantifier elimination procedure for real closed fields. To our knowledge, this is the first generally useful proof-producing...
The paper describes the refinement algorithm for the Calculus of (Co)Inductive Constructions (CIC) implemented in the interactive theorem prover Matita. The refinement algorithm ...
Andrea Asperti, Wilmer Ricciotti, Claudio Sacerdot...