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Construction of abstract state graphs with PVS
by Dr. Hassen Saïdi & Sussane Graf.
Abstract
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....,φi 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.
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