We consider the process theory PA that includes an operation for parallel composition, based on the interleaving paradigm. We prove that the standard set of axioms of PA is not ω-complete by providing a set of axioms that are valid in PA, but not derivable from the standard ones. We prove that extending PA with this set yields an ω-complete specification, which is finite in a setting with finitely many actions.
CITATION STYLE
Fokkink, W. J., & Luttik, S. P. (2000). An ω-Complete equational specification of interleaving. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1853, pp. 729–743). Springer Verlag. https://doi.org/10.1007/3-540-45022-x_61
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