Abstract: |
Pop-refinement is an approach to stepwise refinement, carried out inside an interactive theorem prover by constructing a monotonically decreasing sequence of predicates over deeply embedded target programs. The sequence starts with a predicate that characterizes the possible implementations, and ends with a predicate that characterizes a unique program in explicit syntactic form. Pop-refinement enables more requirements (e.g. program-level and non-functional) to be captured in the initial specification and preserved through refinement. Security requirements expressed as hyperproperties (i.e. predicates over sets of traces) are always preserved by pop-refinement, unlike the popular notion of refinement as trace set inclusion. Two simple examples in Isabelle/HOL are presented, featuring program-level requirements, non-functional requirements, and hyperproperties.
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BibTeX: |
@article{Pop_Refinement-AFP,
author = {Alessandro Coglio},
title = {Pop-Refinement},
journal = {Archive of Formal Proofs},
month = jul,
year = 2014,
note = {\url{http://isa-afp.org/entries/Pop_Refinement.shtml},
Formal proof development},
ISSN = {2150-914x},
}
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