Construction of Abstract State Graphs with PVS
Résumé
In this paper, we propose a method for the automatic construction of an abstract state graph of an arbitrary system using the Pvs theorem prover.
Given a parallel composition of sequential processes and a partition of the state space induced by predicates ϕ1, ..., g4 l on the program variables which defines an abstract state space, we construct an abstract state graph, starting in the abstract initial state. The possible successors of a state are computed using the Pvs theorem prover by verifying for each index i if ϕi or ¬ϕi is a postcondition of it. This allows an abstract state space exploration for arbitrary programs.