Uppsala University
Department of Information Technology

### Technical Report 2011-018

# Computing Strong and Weak Bisimulations for Psi-Calculi - with proofs

### Magnus Johansson, Björn Victor, and Joachim Parrow

August 2011

**Abstract:**
We present a symbolic transition system and strong and weak bisimulation equivalences for psi-calculi, and show that they are fully abstract with respect to bisimulation congruences in the non-symbolic semantics. A procedure which computes the most general constraint under which two agents are bisimilar is developed and proved correct.

A psi-calculus is an extension of the pi-calculus with nominal data types for data structures and for logical assertions representing facts about data. These can be transmitted between processes and their names can be statically scoped using the standard pi-calculus mechanism to allow for scope migrations. Psi-calculi can be more general than other proposed extensions of the pi-calculus such as the applied pi-calculus, the spi-calculus, the fusion calculus, or the concurrent constraint pi-calculus.

Symbolic semantics are necessary for an efficient implementation of the calculus in automated tools exploring state spaces, and the full abstraction property means the symbolic semantics makes exactly the same distinctions as the original.

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