The Regular Viewpoint on PA - Pro esses
نویسنده
چکیده
To appear in Theoretical Computer Science The Regular Viewpoint on PA-Pro esses D. Lugiez Lab. d'Informatique de Marseille, Univ. Aix-Marseille & CNRS URA 1787, 39, r. Joliot-Curie, 13453 Marseille Cedex 13, FRANCE and Ph. S hnoebelen Lab. Spe i ation and Veri ation, ENS de Ca han & CNRS UMR 8643, 61 av. Pdt Wilson, 94235 Ca han Cedex, FRANCE Abstra t PA is the pro ess algebra allowing non-determinism, sequential and parallel ompositions, and re ursion. We suggest viewing PA-pro esses as trees, and using treeautomata te hniques for veri ation problems on PA. Our main result is that the set of iterated prede essors of a regular set of PApro esses is a regular tree language, and similarly for iterated su essors. Furthermore, the orresponding tree-automata an be built e e tively in polynomial-time. This has many immediate appli ations to veri ation problems for PA-pro esses, among whi h a simple and general modelhe king algorithm.
منابع مشابه
The Regular Viewpoint on Pa−processes the Regular Viewpoint on Pa-processes
PA is the process algebra allowing non-determinism, sequential and parallel compositions, and recursion. We suggest a view of PA-processes as tree languages. Our main result is that the set of iterated predecessors of a regular set of PA-processes is a regular tree language, and similarly for iterated successors. Furthermore, the corresponding tree-automata can be built eeectively in polynomial...
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