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.
Arithmetic, interpolation and factorization of amalgams
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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.