Abstract | ||
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Circus specifications define both data and behavioural aspects of systems using a combination of Z and CSP constructs. Previously, a denotational semantics has been given to Circus; however, a shallow embedding of Circus in Z, in which the mapping from Circus constructs to their semantic representation as a Z specification, with yet another language being used as a meta-language, was not useful for proving properties like the refinement laws that justify the distinguishing development technique associated with Circus. This work presents a final reference for the Circus denotational semantics based on Hoare and He’s Unifying Theories of Programming (UTP); as such, it allows the proof of meta-theorems about Circus including the refinement laws in which we are interested. Its correspondence with the CSP semantics is illustrated with some examples. We also discuss the library of lemmas and theorems used in the proofs of the refinement laws. Finally, we give an account of the mechanisation of the Circus semantics and of the mechanical proofs of the refinement laws. |
Year | DOI | Venue |
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2009 | 10.1007/s00165-007-0052-5 | Formal Asp. Comput. |
Keywords | Field | DocType |
z specification,refinement law,circus denotational semantics,reflnement calculus,csp semantics,circus semantics,csp construct,theorem proving,utp semantics,circus construct,circus specification,denotational semantics,refinement calculus,concurrency,behavioural aspect,theorem proving.,relational model | Specification language,Programming language,Refinement calculus,Computer science,Concurrency,Denotational semantics,Automated theorem proving,Theoretical computer science,Mathematical proof,Relational model,Semantics | Journal |
Volume | Issue | ISSN |
21 | 1-2 | 1433-299X |
Citations | PageRank | References |
50 | 1.71 | 25 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Marcel Oliveira | 1 | 172 | 12.57 |
Ana Cavalcanti | 2 | 140 | 7.68 |
Jim Woodcock | 3 | 357 | 25.74 |