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Bibliographic Details
Main Authors: Neele, Thomas, van de Pol, Jaco
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2304.07162
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Table of Contents:
  • We study operations on fixpoint equation systems (FES) over arbitrary complete lattices. We investigate under which conditions these operations, such as substituting variables by their definition, and swapping the ordering of equations, preserve the solution of a FES. We provide rigorous, computer-checked proofs. Along the way, we list a number of known and new identities and inequalities on extremal fixpoints in complete lattices.