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Obviously this is a hugely fundamental result in basic computer science, so it must be right, and I thought I vaguely understood lambda calculus, but I can't make head or tail of this definition as written.
--[[User:Natecull|Natecull]] ([[User talk:Natecull|talk]]) 23:12, 17 November 2008 (UTC)
:As is explained in the section [[Fixed point combinator#Existence of fixed point combinators]], fixed point combinators need not exist for all settings, and need not be [[total function|total]], i.e. they may diverge for some (even almost all) inputs. However, there are important settings such as '''CPO''', the [[cartesian closed category]] of [[complete partial order]]s with [[Scott continuity|Scott continuous]] maps, where fix points always exist. — [[User:Tobias Bergemann|Tobias Bergemann]] ([[User talk:Tobias Bergemann|talk]]) 12:25, 18 November 2008 (UTC)
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