The Least Conjunctive Refinement and Promotion in the Refinement Calculus

Author:

Mahony Brendan P.1

Affiliation:

1. Defence Science and Technology Organisation, Department of Defence, Australia, AU

Abstract

Abstract. A syntactic calculation of Morgan's least conjunctive refinement operator for predicate transformers is developed. The operator is used to develop a general approach to lifting relational operators to predicate transformer operators. Predicate transformer versions of the relational conjunction and disjunction operators are considered in detail. The Z-based technique of program promotion is considered in a refinement calculus setting. A standard Z promotion example is recast in the refinement calculus.

Publisher

Association for Computing Machinery (ACM)

Subject

Theoretical Computer Science,Software

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