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Erschienen in:
2007 | OriginalPaper | Buchkapitel
System Modules
verfasst von : Manuel Clavel, Francisco Durán, Steven Eker, Patrick Lincoln, Narciso Martí-Oliet, José Meseguer, Carolyn Talcott
Erschienen in: All About Maude - A High-Performance Logical Framework
Verlag: Springer Berlin Heidelberg
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A Maude system module specifies a
rewrite theory
. A rewrite theory has sorts, kinds, and operators (perhaps with frozen arguments), and can have three types of statements: equations, memberships, and rules, all of which can be conditional. Therefore, any rewrite theory has an underlying equational theory, containing the equations and memberships,
plus
the rules. What is the intuitive meaning of such rules? Computationally, they specify
local concurrent transitions
that can take place in a system if the pattern in the rule’s lefthand side matches a fragment of the system state and the rule’s condition is satisfied. In that case, the transition specified by the rule can take place, and the matched fragment of the state is transformed into the corresponding instance of the righthand side. Logically, that is, when we use rewriting logic as a logical framework to represent other logics as explained in Section 1.4, a rule specifies a
logical inference rule
, and rewriting steps therefore represent inference steps.