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Complete Axioms for Categorical Fixed-Point Operators

Logic in Computer Science, pp.30-30, (2000)

Cited by: 148|Views91
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Abstract

We give an axiomatic treatment of fixed-point operators in categories. A notion of iteration operator is defined, em- bodying the equational properties of iteration theories. We prove a general completeness theorem for iteration opera- tors, relying on a new, purely syntactic characterisation of the free iteration theory. We then show how...More

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