AIC is a new equational algebra for deriving fixed points from iterations that proves the Tarski-Kantorovich principle, a k-induction generalization, and a novel limit-inf/sup theorem, with Isabelle mechanization and completeness analysis.
o nig. Approximating fixpoints of approximated functions (invited talk). In CSL , volume 288 of LIPIcs , pages 4:1--4:1. Schloss Dagstuhl - Leibniz-Zentrum f \
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The Algebra of Iterative Constructions
AIC is a new equational algebra for deriving fixed points from iterations that proves the Tarski-Kantorovich principle, a k-induction generalization, and a novel limit-inf/sup theorem, with Isabelle mechanization and completeness analysis.