Fixed Points Theorems for Non-Transitive Relations

In this paper, we develop an Isabelle/HOL library of order-theoretic fixed-point theorems. We keep our formalization as general as possible: we reprove several well-known results about complete orders, often with only antisymmetry or attractivity, a mild condition implied by either antisymmetry or t...

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Bibliographic Details
Main Authors: Jérémy Dubut, Akihisa Yamada
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-02-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/6809/pdf