Compositionality of Hennessy-Milner Logic through Structural Operational Semantics

Abstract

Abstract. This paper presents a method for the decomposition of HML formulae. It can be used to decide whether a process algebra term satisfies a HML formula, by checking whether subterms satisfy certain formulae, obtained by decomposing the original formula. The method uses the structural operational semantics of the process algebra. The main contribution of this paper is that an earlier decomposition method from Larsen [14] for the De Simone format is extended to the more general ntyft/ntyxt format without lookahead.

Bialgebraic methods and modal logic in structural operational semantics

“…For example, the technique of frozen/liquid positions [9] used to derive formats for decorated trace equivalences corresponds exactly to extending the functors Γ with finite conjunctions as in in §6.4. More interestingly, the SOS-like presentation of logical distributive laws suggests a connection to compositional proof systems as in [56] and to techniques for modal logic decomposition as in [20]. Also, the notion of spatial modality used here seems to be related to spatial logics for process calculi as in [4,14], with a coalgebraic treatment suggested in [47].…”

Knots as processes: a new kind of invariant

“…First, the process algebras provide a compositional approach to the specification, analysis and execution of concurrent and distributed systems. Owing to Milner's original insights into computation as interaction [44], the process calculi jktir are so organized that the behavior -the semantics-of a system may be composed from the behavior of its components [19]. This means that specifications can be constructed in terms of components -without a global view of the system-and assembled into increasingly complete descriptions.…”