Towards automated proofs of observational properties

Narjes Berregeb (1) , Riadh Robbana (1) , Ashish Tiwari (2)

1 LIP2 - Laboratoire d'Informatique, de Parallélisme et de Productique
2 SRI - SRI International [Menlo Park]

Observational theories are a generalization of first-order theories where two objects are observationally equal if they cannot be distinguished by experiments with observable results. Such experiments, called contexts, are usually infinite. Therfore, we consider a special finite set of contexts, called cover-contexts, ''\emphcovering'' all the observable contexts. Then, we show that to prove that two objects are observationally equal, it is sufficient to prove that they are equal (in the classical sense) under these cover-contexts. We give methods based on rewriting techniques, for constructing such cover-contexts for interesting classes of observational specifications.

Mots clés: observational; contexts; rewriting

Domaines: Mathématique discrète [cs.DM]

Narjes Berregeb, Riadh Robbana, Ashish Tiwari. Towards automated proofs of observational properties. Discrete Mathematics and Theoretical Computer Science, 2004, Vol. 6 no. 2 (2), pp.143-162. ⟨10.46298/dmtcs.331⟩. ⟨hal-00959001⟩