In previous work with Pous, we defined a semantics for CCS which may both be viewed as an innocent presheaf semantics and as a concurrent game semantics. It is here proved that a behavioural equivalence induced by this semantics on CCS processes is fully abstract for fair testing equivalence. The proof relies on a new algebraic notion called playground, which represents the rule of the game. From any playground, two languages, equipped with labelled transition systems, are derived, as well as a strong, functional bisimulation between them.
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