Circular Coinduction

Grigore Rosu and Joseph Goguen
March 14, 2000

Circular coinduction is a new technique for behavioral reasoning that extends coinduction to specifications with circularities. We show that a congruence criterion due to Bidoit and Hennicker follows easily from circular coinduction, and we give some natural examples of circular coinductive proofs. A notation, called BOBJ, appropriate for our style of behavioral specification is also sketched. Finally, everything is conducted in a general framework that in a sense is the gcd of previous behavioral frameworks.

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