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    Made withinDC&Austin
    Any problem whose characteristic function is non-recursiv... — Carmelics
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    Home/Modality & Possibility
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    Supports→The Halting Problem is not effectively decidable
    Supports→The word problem for semi-groups is not effectively decidable

    Any problem whose characteristic function is non-recursive is not effectively decidable

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    Related propositions within the same area of thought.
    The Halting Problem is not effectively decidableThe characteristic function of the Halting Problem can be proven to be non-recur...The characteristic function of the word problem for semi-groups can be proven to...The word problem for semi-groups is not effectively decidable

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    The characteristic function of the Halting Problem can be proven to be...86%The class of problems decidable by non-deterministic Turing machines i...82%The characteristic function of the word problem for semi-groups can be...82%The Halting Problem is not effectively decidable79%

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    SEP: computational-complexity
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    CT can be understood to assign a precise epistemological significance to Church and Turing’s negative answer to the Entscheidungsproblem. For if it is acknowledged that \(\mathcal{F}_{\mathfrak{R}}\) (and hence also \(\mathcal{F}_{\Lambda}\) and \(\mathcal{F}_{\mathfrak{T}}\)) contain all effectively computable functions, it then follows that a problem \(X\) can be shown to be effectively undecidable – i.e. undecidable by any algorithm whatsoever, regardless of its efficiency – by showing that t

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