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D. Cachera, T. Jensen, D. Pichardie, V. Rusu. Extracting a data flow analyser in constructive logic. Theoretical Computer Science, 342(1):56-78, September 2005.

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A constraint-based data flow analysis is formalised 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 represented in a way 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 solution to the constraints is constructive which means that the extraction mechanism of Coq provides a provably correct data flow analyser in Ocaml from the proof. The library of lattices and the 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


Vlad Rusu http://www.irisa.fr/vertecs/Equipe/Rusu/vlad-rusu.html

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   Author = {Cachera, D. and Jensen, T. and Pichardie, D. and Rusu, V.},
   Title = {Extracting a data flow analyser in constructive logic},
   Journal = {Theoretical Computer Science},
   Volume = {    342},
   Number = {1},
   Pages = {56--78},
   Month = {September},
   Year = {2005}

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