eng
Schloss Dagstuhl – Leibniz-Zentrum für Informatik
Leibniz International Proceedings in Informatics
1868-8969
2014-07-25
150
168
10.4230/LIPIcs.TYPES.2013.150
article
A Hybrid Linear Logic for Constrained Transition Systems
Despeyroux, Joëlle
Chaudhuri, Kaustuv
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.
https://drops.dagstuhl.de/storage/00lipics/lipics-vol026-types2013/LIPIcs.TYPES.2013.150/LIPIcs.TYPES.2013.150.pdf
Linear logic
hybrid logic
stochastic pi-calculus
focusing
adequacy