Notions of bisimulation and congruence formats for SOS with data
Information and Computation
Symbolic message sequence charts
Proceedings of the the 6th joint meeting of the European software engineering conference and the ACM SIGSOFT symposium on The foundations of software engineering
Formal Semantics and Analysis of Component Connectors in Reo
Electronic Notes in Theoretical Computer Science (ENTCS)
Notions of bisimulation and congruence formats for SOS with data
Information and Computation
Symbolic Message Sequence Charts
ACM Transactions on Software Engineering and Methodology (TOSEM)
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While studying the specification of the operational semantics of different programming languages and formalisms, one can observe the following three facts. Firstly, Plotkin's style of Structured Operational Semantics (SOS) has become a standard in defining operational semantics. Secondly, congruence with respect to some notion of bisimilarity is an interesting property for such languages and it is essential in reasoning about them. Thirdly, there are numerous languages that contain an explicit data part in the state of the operational semantics. The first two facts, have resulted in a line of research exploring syntactic formats of operational rules to derive the desired congruence property for free. However, the third point (in combination with the first two) is not sufficiently addressed and there is no standard congruence format for operational semantics with an explicit data state. In this paper, we address this problem by studying the implications of the presence of a data state on the notion of bisimilarity. Furthermore, we propose a number of formats for congruence.