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Michel Bidoit, Peter D. Mosses's CASL User Manual: Introduction to Using the Common Algebraic PDF

By Michel Bidoit, Peter D. Mosses

ISBN-10: 354020766X

ISBN-13: 9783540207665

CASL, the typical Algebraic Specification Language, was once designed by means of the contributors of CoFI, the typical Framework Initiative for algebraic specification and improvement, and is a general-purpose language for sensible use in software program improvement for specifying either necessities and layout. CASL is already considered as a de facto commonplace, and diverse sublanguages and extensions can be found for particular projects.

This ebook illustrates and discusses the right way to write CASL standards. The authors first describe the origins, goals and scope of CoFI, and evaluate the most thoughts of algebraic specification languages. the most a part of the ebook explains CASL necessities, with chapters on free, generated and unfastened requisites, partial capabilities, sub- and supersorts, structuring necessities, genericity and reusability, architectural standards, and model keep an eye on. the ultimate chapters care for instrument aid and libraries, and current a pragmatic case research regarding the traditional benchmark for evaluating specification frameworks. The e-book is geared toward software program researchers and execs, and follows an instructional variety with highlighted issues, illustrative examples, and an entire specification and library index.

A separate, complementary LNCS quantity includes the CASL Reference Manual.

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Extra info for CASL User Manual: Introduction to Using the Common Algebraic Specification Language

Example text

Note again that this %implies part heavily relies on the ‘same name, same meaning’ principle. 36 3 Getting Started Generated types may need to be declared together. The following specification fragment illustrates what may go wrong. sort Node generated type Tree ::= mktree(Node; Forest ) generated type Forest ::= empty | add (Tree; Forest ) The above is incorrect, due to the linear visibility rule. This can easily be fixed by replacing ‘sort Node’ by ‘sorts Node, Tree, Forest ’. Even when corrected, the above is wrong, since the corresponding semantics is not what a naive reader may expect.

The above Strict Partial Order specification is loose in the sense that it has many (non-isomorphic) models, among which models where ‘<’ is interpreted by a total ordering relation and models where it is interpreted by a partial one. Specifications can easily be extended by new declarations and axioms. spec Total Order = Strict Partial Order then ∀x , y : Elem • x < y ∨ y < x ∨ x = y end %(total)% Extensions, introduced by the keyword ‘then’, may specify new symbols, possibly constrained by some axioms, or merely require further properties of old ones, as in the above Total Order example, or more generally do both at the same time.

Therefore, to avoid such undesirable consequences of undefinedness, it is advisable to use existential equations instead of strong equations in the premises of conditional equations involving partial operations. An alternative is to add the relevant definedness assertions explicitly to the equations in the premises. 5 Subsorting Subsorts and supersorts are often useful in CASL specifications. Many examples naturally involve subsorts and supersorts. CASL provides means for the declaration of a sort as a subsort of another one when the values of the subsort are regarded a special case of those in the other sort.

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CASL User Manual: Introduction to Using the Common Algebraic Specification Language by Michel Bidoit, Peter D. Mosses

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