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.
Linear logic
hybrid logic
stochastic pi-calculus
focusing
adequacy
150-168
Regular Paper
Joëlle
Despeyroux
Joëlle Despeyroux
Kaustuv
Chaudhuri
Kaustuv Chaudhuri
10.4230/LIPIcs.TYPES.2013.150
Creative Commons Attribution 3.0 Unported license
https://creativecommons.org/licenses/by/3.0/legalcode