On Tarski’s fixed point theorem
Copyright policy )On Tarski’s fixed point theorem
A concept of abstract inductive definition on a complete lattice is formulated and studied. As an application, a constructive and predicative version of Tarski's fixed point theorem is obtained.
Proc. Amer. Math. Soc., to appear
- University of Padua Italy
Constructive set theories; Inductive definitions; Tarski’s fixed point theorem; Uniform objects; Mathematics (all); Applied Mathematics, Tarski's fixed point theorem, inductive definitions, constructive set theories, Mathematics - Logic, Other constructive mathematics, 03G10, 03E70, 03F65, 18B35, Nonclassical and second-order set theories, FOS: Mathematics, Complete lattices, completions, uniform objects, Logic (math.LO), Logical aspects of lattices and related structures
Constructive set theories; Inductive definitions; Tarski’s fixed point theorem; Uniform objects; Mathematics (all); Applied Mathematics, Tarski's fixed point theorem, inductive definitions, constructive set theories, Mathematics - Logic, Other constructive mathematics, 03G10, 03E70, 03F65, 18B35, Nonclassical and second-order set theories, FOS: Mathematics, Complete lattices, completions, uniform objects, Logic (math.LO), Logical aspects of lattices and related structures
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