Sylvain Salvati ; Igor Walukiewicz - Using models to model-check recursive schemes

lmcs:1567 - Logical Methods in Computer Science, June 11, 2015, Volume 11, Issue 2 -
Using models to model-check recursive schemes

Authors: Sylvain Salvati ; Igor Walukiewicz

We propose a model-based approach to the model checking problem for recursive schemes. Since simply typed lambda calculus with the fixpoint operator, lambda-Y-calculus, is equivalent to schemes, we propose the use of a model of lambda-Y-calculus to discriminate the terms that satisfy a given property. If a model is finite in every type, this gives a decision procedure. We provide a construction of such a model for every property expressed by automata with trivial acceptance conditions and divergence testing. Such properties pose already interesting challenges for model construction. Moreover, we argue that having models capturing some class of properties has several other virtues in addition to providing decidability of the model-checking problem. As an illustration, we show a very simple construction transforming a scheme to a scheme reflecting a property captured by a given model.

Volume: Volume 11, Issue 2
Published on: June 11, 2015
Submitted on: November 22, 2013
Keywords: Computer Science - Logic in Computer Science


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