By Manuel Clavel, Francisco Durán, Steven Eker, Patrick Lincoln, Narciso Martí-Oliet, José Meseguer, Carolyn Talcott
This publication supplies a entire account of Maude, a language and approach according to rewriting common sense. Many examples are used during the booklet to demonstrate the most rules and lines of Maude, and its many attainable makes use of. Maude modules are rewrite theories. Computation with such modules is - cient deduction by way of rewriting. as a result of its logical foundation and its preliminary version semantics,aMaudemodulede?nesaprecisemathematicalmodel.Thismeans that Maude and its formal software surroundings can be utilized in 3, at the same time reinforcing methods: • as a declarative programming language; • as an executable formal speci?cation language; and • as a proper veri?cation process. Maude’s rewriting good judgment is straightforward, but very expressive. this offers Maude sturdy representational features as a semantic framework to officially characterize quite a lot of structures, together with versions of concurrency, dispensed al- rithms, community protocols, semantics of programming languages, and types of cellphone biology. Rewriting good judgment can be an expressive common logic,making Maude a ?exible logical framework during which many di?erent logics and - ference platforms might be represented and mechanized. This makes Maude an invaluable metatool to construct many different instruments, together with these in its personal formal software atmosphere. due to the logic’s simplicity and using complicated semi-compilation strategies, Maude has a high-performance implementation, making it aggressive with different declarative programming languages.
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Additional resources for All About Maude - A High-Performance Logical Framework: How to Specify, Program and Verify Systems in Rewriting Logic
1, speciﬁcations can also be given in theories, with a syntax entirely similar to that of modules, but theories, unlike modules, need not be executable. 3 Sorts and Subsorts 41 fmod NUMBERS is ... endfm with ‘. ’ corresponding to all the declarations of submodule importations, sorts, subsorts, operators, variables, equations, and so on. From a programming point of view, a system module is a declarativestyle concurrent program with user-deﬁnable syntax. 9) with initial model semantics. Again, each system module has a name, which is a Maude identiﬁer.
For example, the results in the canonical term algebra of the operations length(’a . ’b . ’c . nil) ’b in (’a . ’b . ’c . nil) are, respectively, s s s 0 true Suppose that a functional module speciﬁes an equational theory (Σ, E ∪ A) and satisﬁes the Church-Rosser and termination assumptions. Let us then denote by Can Σ/E∪A the associated canonical term algebra. The coincidence of the mathematical and operational semantics is then expressed by the fact that we have an isomorphism TΣ/E∪A ∼ = Can Σ/E∪A .
Full Maude itself can be used as a basis for further extensions, by adding new functionality. 6. 2). 6 Book Structure This book documents Maude 2, and explains Maude’s basic concepts in a leisurely and mostly informal style. The material is basically presented following a “grammatical” order; for example, all features related with operators are discussed together. Concepts are introduced by concrete examples, that in general are complete modules, although in some cases may be fragments of modules.
All About Maude - A High-Performance Logical Framework: How to Specify, Program and Verify Systems in Rewriting Logic by Manuel Clavel, Francisco Durán, Steven Eker, Patrick Lincoln, Narciso Martí-Oliet, José Meseguer, Carolyn Talcott