A Pre-congruence Format for XY-simulation

Abstract

Abstract. XY -simulation is a generalization of bisimulation that is parameterized with two subsets of actions. XY -simulation is known in the literature under different names such as modal refinement, partial bisimulation, and alternating simulation. In this paper, we propose a precongruence rule format for XY -simulation. The format allows for checking compositionality of XY -simulation for an arbitrary language with structural operational semantics, by performing very simple checks on the syntactic shape of the rules. We apply our format to derive concrete compositionality results for different notions of behavioral pre-order with respect to different process calculi in the literature.

Logical characterisations, rule formats and compositionality for input-output conformance simulation

“…In Section 7.1, we present a congruence rule format for iocos based on the GSOS format proposed by Bloom, Istrail and Meyer [11] (Theorem 21). Some of the conditions of the rule format for iocos (Definition 16) have similarities with those of the rule format for XYsimulation given by Beohar and Mousavi in [8]. However, our rule format for iocos includes a rather involved 'global' condition that stems from the fact that a specification need only simulate input transitions from an implementation that are labelled with actions that the specification affords.…”