CPO Models for GSOS Languages - Part I: Compact GSOS Languages

CPO Models for GSOS Languages Part I: Compact GSOS Languages

In this paper, we present a general way of giving denotational semantics to a class of languages equipped with an operational semantics that fits the GSOS format of Bloom, Istrail and Meyer. The canonical model used for this purpose will be Abramsky’s domain of synchronization trees, and the denotational semantics automatically generated by our methods will be guaranteed to be fully abstract wi...

CPO Models for a Class of GSOS Languages

In this paper, we present a general way of giving denotational semantics to a class of languages equipped with an operational semantics that ts the GSOS format of Bloom, Istrail and Meyer. The canonical model used for this purpose will be Abramsky's domain of synchronization trees, and the denotational semantics automatically generated by our methods will be guaranteed to be fully abstract with...

A Bisimulation-based Method for Proving the Validity of Equations in GSOS Languages

This paper presents a bisimulation-based method for establishing the soundness of equations between terms constructed using operations whose semantics is specified by rules in the GSOS format of Bloom, Istrail and Meyer. The method is inspired by de Simone’s FH-bisimilarity and uses transition rules as schematic transitions in a bisimulation-like relation between open terms. The soundness of th...

GSOS for probabilisti transition systems

GSOS for Probabilistic Transition Systems

We introduce PGSOS, an operator specification format for (reactive) probabilistic transition systems which bears similarity to the known GSOS format for labelled (nondeterministic) transition systems. Like the standard one, the format is well behaved in the sense that on all models bisimilarity is a congruence and the up-to-context proof principle is valid. Moreover, guarded recursive equations...