By Manuel Clavel, Francisco Durán, Steven Eker, Patrick Lincoln, Narciso Martí-Oliet, José Meseguer, Carolyn Talcott
This e-book offers a accomplished account of Maude, a language and procedure in response to rewriting common sense. Many examples are used in the course of the booklet to demonstrate the most principles and contours 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 setting can be utilized in 3, collectively reinforcing methods: • as a declarative programming language; • as an executable formal speci?cation language; and • as a proper veri?cation approach. Maude’s rewriting common sense is straightforward, but very expressive. this provides Maude strong representational functions as a semantic framework to officially signify a variety of structures, together with types of concurrency, dispensed al- rithms, community protocols, semantics of programming languages, and versions of mobile biology. Rewriting common sense is additionally an expressive common logic,making Maude a ?exible logical framework within which many di?erent logics and - ference platforms may be represented and mechanized. This makes Maude an invaluable metatool to construct many different instruments, together with these in its personal formal software surroundings. due to the logic’s simplicity and using complex semi-compilation innovations, 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
11). Maude> reduce s s zero + s s s zero . reduce in SIMPLE-NAT : s s zero + s s s zero . rewrites: 3 in 0ms cpu (0ms real) (~ rews/sec) result Nat: s s s s s zero 1 We do not display the ‘>’ symbol that Maude adds at the beginning of each line. 34 2 Using Maude Any action happening in the Maude system can be interrupted by typing control-C. 3). Although it is not the case in the simple examples above, sometimes we get a very big term as output from Maude. In some cases, in order to make it easier to read and understand, we edit the presentation of the outputs given by Maude.
As programs, to solve some application. In principle we could have programmed such an application in some other programming language, but we may have chosen Maude because its features make the programming task easier and simpler. 2. As formal executable speciﬁcations, that provide a rigorous mathematical model of an algorithm, a system, a language, or a formalism. Because of the agreement between operational and mathematical semantics, this mathematical model is at the same time executable. Therefore, we can use it as a precise prototype of our system to simulate its behavior.
Such a semantics means that what a Maude module denotes is a speciﬁc mathematical model, namely, the initial one. Satisfaction of any property, expressed as some kind of formula, means satisfaction of that formula in the initial model. This is an important observation, even when the formula in question is expressed in Maude’s native logic. Let us explain this idea in more detail. Consider, for example, that we have deﬁned natural number addition in a Maude functional module with Peano notation, so that zero is represented as the constant 0, and there is a successor function s_ so that, for example, 2 is represented as s s 0.
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