This paper is concerned with the integration of recursive data structures with Presburger arithmetic. The integrated theory includes a length function on data structures, thus prov...
In abstract algebra, a structure is said to be Noetherian if it does not admit infinite strictly ascending chains of congruences. In this paper, we adapt this notion to first-ord...
A well-known polymodal provability logic GLP is complete w.r.t. the arithmetical semantics where modalities correspond to reflection principles of restricted logical complexity in...
We present a system, called RZ, for automatic generation of program specifications from mathematical theories. We translate mathematical theories to specifications by computing th...
Negation is intrinsic to human thinking and most of the time when searching for something, we base our patterns on both positive and negative conditions. In a previous work, we hav...
Claude Kirchner, Radu Kopetz, Pierre-Etienne Morea...