Extracting a Data Flow Analyser in Constructive Logic (2004)
| Venue: | Proc. of the 13th European Symposium on Programming, volume 2986 of LNCS |
| Citations: | 36 - 9 self |
BibTeX
@INPROCEEDINGS{Cachera04extractinga,
author = {David Cachera and Thomas Jensen and David Pichardie and Vlad Rusu},
title = {Extracting a Data Flow Analyser in Constructive Logic},
booktitle = {Proc. of the 13th European Symposium on Programming, volume 2986 of LNCS},
year = {2004},
pages = {385--400},
publisher = {Springer-Verlag}
}
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Abstract
Abstract. We show how to formalise a constraint-based data flow analysis in the specification language of the Coq proof assistant. This involves defining a dependent type of lattices together with a library of lattice functors for modular construction of complex abstract domains. Constraints are expressed in an intermediate representation that allows for both efficient constraint resolution and correctness proof of the analysis with respect to an operational semantics. The proof of existence of a correct, minimal solution to the constraints is constructive which means that the extraction mechanism of Coq provides a provably correct data flow analyser in ocaml. The library of lattices together with the intermediate representation of constraints are defined in an analysis-independent fashion that provides a basis for a generic framework for proving and extracting static analysers in Coq. 1
