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Conference Papers Year : 2014

A Hybrid Linear Logic for Constrained Transition Systems


Linear implication can represent state transitions, but real transition systems operate under temporal, stochastic or probabilistic constraints that are not directly representable in ordinary linear logic. We propose a general modal extension of intuitionistic linear logic where logical truth is indexed by constraints and hybrid connectives combine constraint reasoning with logical reasoning. The logic has a focused cut-free sequent calculus that can be used to internalize the rules of particular constrained transition systems; we illustrate this with an adequate encoding of the synchronous stochastic pi-calculus.
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hal-01285039 , version 1 (08-03-2016)



Joelle Despeyroux, Kaustuv Chaudhuri. A Hybrid Linear Logic for Constrained Transition Systems. TYPES 2013 - 19th International Conference on Types for Proofs and Programs, Apr 2013, Toulouse, France. pp.150-168. ⟨hal-01285039⟩
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