trureturingGitHub MATHEMATICAL ATLAS

Dynamics / CONCEPT

Knaster-Tarski Extremal Fixed Points

Monotone endomorphisms have extremal fixed points, separated by a three-state cycle.

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DIRECT CONSEQUENCES6
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THEOREM

Least and greatest fixed points

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Knaster-Tarski Extremal Fixed PointsKnaster-Tarski Extremal FixedPointsKnaster–Tarski WitnessKnaster–Tarski WitnessRecursive Definitions as Selected Fixed PointsRecursive Definitions asSelected Fixed PointsMaximal Forward-Invariant SubkernelMaximal Forward-InvariantSubkernelThree-Cycle Fixed-Point GapThree-Cycle Fixed-Point GapFinite Future CongruenceFinite Future CongruenceControlled Finite StabilityControlled Finite Stability
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Lean sourceResearch workspace
Status
Closed
Depth
0
Layer
D5/S1
Domain
Dynamics
Node ID
D5/S1/Dynamics/KnasterTarski
Repository path
D5/S1/Dynamics/KnasterTarski.lean
Truth release
sha256:c0d04258d27972c1cf58485e21d64dbcbe336405346ba95133913c64ba2856aa
Source commit
745bf90812f7175f83e1235688249f9495f23bfc
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143bc6c9ab9054c406f0cdd7f3b296eb38768b5c

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