A unifying logic for non-deterministic, parallel and concurrent abstract state machines

Autoren Flavio Ferrarotti
Klaus-Dieter Schewe
Loredana Tec
Qing Wang
Editoren
Titel A unifying logic for non-deterministic, parallel and concurrent abstract state machines
Typ Artikel
Journal Annals of Mathematics and Artificial Intelligence
DOI 10.1007/s10472-017-9569-3
ISSN 1573-7470 (electronic version)
Monat December
Jahr 2017
Seiten online first
SCCH ID# 17014
Abstract

We develop a logic which enables reasoning about single steps of non-deterministic and parallel Abstract State Machines (ASMs). Our logic builds upon the unifying logic introduced by Nanchen and Stärk for reasoning about hierarchical (parallel) ASMs. Our main contribution to this regard is the handling of non-determinism within the logical formalism. We do this without sacrificing the completeness of the logic for statements about single steps of non-deterministic and parallel ASMs, such as invariants of rules, consistency conditions for rules, or step-by-step equivalence of rules. Moreover, we show that the proposed one-step logic can be easily extended to a multiple-step logic which enables reasoning about concurrent ASMs.