Download All About Maude - A High-Performance Logical Framework: How by Manuel Clavel, Francisco Durán, Steven Eker, Patrick PDF

By Manuel Clavel, Francisco Durán, Steven Eker, Patrick Lincoln, Narciso Martí-Oliet, José Meseguer, Carolyn Talcott

This ebook supplies a accomplished account of Maude, a language and process according to rewriting common sense. Many examples are used through the e-book to demonstrate the most rules and contours of Maude, and its many attainable makes use of. Maude modules are rewrite theories. Computation with such modules is - cient deduction through rewriting. due to its logical foundation and its preliminary version semantics,aMaudemodulede?nesaprecisemathematicalmodel.Thismeans that Maude and its formal device surroundings can be utilized in 3, together reinforcing methods: • as a declarative programming language; • as an executable formal speci?cation language; and • as a proper veri?cation process. Maude’s rewriting common sense is straightforward, but very expressive. this offers Maude strong representational features as a semantic framework to officially characterize a variety of structures, together with versions of concurrency, allotted al- rithms, community protocols, semantics of programming languages, and types of mobilephone biology. Rewriting common sense is additionally an expressive common logic,making Maude a ?exible logical framework during which many di?erent logics and - ference structures should be represented and mechanized. This makes Maude an invaluable metatool to construct many different instruments, together with these in its personal formal device surroundings. because of the logic’s simplicity and using complex 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

Example text

The syntax declaration part is called a signature and consists of declarations for: • sorts, giving names for the types of data, • subsorts, organizing the data types in a hierarchy, • kinds, that are implicit and intuitively correspond to “error supertypes” that, in addition to normal data, can contain “error expressions,” and • operators, providing names for the operations that will act upon the data and allowing us to build expressions (or terms) referring to such data. We use symbols Σ, Σ , etc.

Called the signature, specifies the type structure: sorts, subsorts, kinds, and overloaded operators. E is the collection of (possibly conditional) equations and memberships declared in the functional module, and A is the collection of equational attributes (assoc, comm, and so on) declared for the different operators. Computation is of course the efficient form of equational deduction in which equations are used from left to right as simplification rules. Similarly, a system module specifies a rewrite theory, that is, a theory in rewriting logic.

The fact that in a computational logic computation and deduction coincide, so that they are like two sides of the same coin, can be used in two ways: we can use the logic as a semantic framework to specify different computational entities as just explained; or we can use it as a logical framework to represent many other logics in it. That is, if our computational logic has good representational features, it can be used as a universal logic which can faithfully express the inference systems of many other logics.

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