A Hybrid Linear Logic for Constrained Transition Systems with Applications to Molecular Biology

Autor: Chaudhuri, Kaustuv, Despeyroux, Joelle
Rok vydání: 2013
Předmět:
Zdroj: N° RR-402942 (2013)
Druh dokumentu: Working Paper
Popis: 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. We also present some preliminary experiments of direct encoding of biological systems in the logic.
Databáze: arXiv