Every event structure admits a unique minimal quotient under folding with respect to hereditary history preserving bisimilarity, with the result holding specifically and uniquely for prime event structures.
For allx∈C1 we have that C2[x] ={y∈C2|y≤C2 x} ={y∈C1|y≤C1 x} [since C1⊑C2] =C1[x] P
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Minimisation of Event Structures
Every event structure admits a unique minimal quotient under folding with respect to hereditary history preserving bisimilarity, with the result holding specifically and uniquely for prime event structures.