## Correctness of logic programs using proof schemes

- Emmanouil I. Marakakis, Nikos Papadakis
- KES Journal
- 2012

1 Excerpt

- Published 2002 in TPLP

Existing refinement calculi provide frameworks for the stepwise development of imperative programs from specifications. This paper presents a refinement calculus for deriving logic programs. The calculus contains a wide-spectrum logic programming language, including executable constructs such as sequential conjunction, disjunction, and existential quantification, as well as specification constructs such as general predicates, assumptions and universal quantification. A declarative semantics is defined for this wide-spectrum language based on executions. Executions are partial functions from states to states, where a state is represented as a set of bindings. The semantics is used to define the meaning of programs and specifications, including parameters and recursion. To complete the calculus, a notion of correctness-preserving refinement over programs in the wide-spectrum language is defined and refinement laws for developing programs are introduced. The refinement calculus is illustrated using example derivations and prototype tool support is discussed.

@article{Hayes2002ARC,
title={A Refinement Calculus for Logic Programs},
author={Ian J. Hayes and Robert Colvin and David Hemer and Paul A. Strooper and Ray Nickson},
journal={TPLP},
year={2002},
volume={2},
pages={425-460}
}