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Results tagged with posets
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user 109493
A poset or partially ordered set is a set endowed with a partial order, meaning a binary relation $\leq$ which is reflexive ($x \leq x$ for all $x$), antisymmetric ($x\leq y$ and $y\leq x$ implies $x=y$), and transitive ($x\leq y$ and $y\leq z$ implies $x \leq z$).
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Random iteration of a set of monotone maps until fixed point
Let $P$ be a poset with a least element $\bot$ ($\forall x \in P.\ \bot \le x$).
Let $M$ be a set of monotone maps $P \to P$.
Call $x \in P$ reachable if $x = f_1(f_2(...f_n(\bot)...))$ for some seque …
