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arXiv · 2304.07162

Operations on Fixpoint Equation Systems

Thomas Neele·Jaco van de Pol
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Abstract

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.

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Thomas Neele, Jaco van de Pol. 2023-04-14. Operations on Fixpoint Equation Systems. https://doi.org/10.46298/lmcs-20(3%3A5)2024

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