• Re: Correcting the definition of the terms of the halting problem

    From Mikko@21:1/5 to olcott on Sat Jan 20 10:53:41 2024
    On 2024-01-19 13:54:26 +0000, olcott said:

    *This is the correct definition of a decider*
    Deciders always must compute the mapping from an input finite string to
    their own accept or reject state on the basis of a syntactic or semantic property of this finite string.

    No, it isn't. A correct definition must specify
    - the defined term in its dictionary form
    (in this case, "A decider" instead of "Deciders")
    - an upper term
    (in this case "is a Turing machine" or "is an algorithm")
    - an differentiating feature
    (in this case, that it accepts or rejects every valid input,
    and other restrictions you consider essential)

    Mikko

    --- SoupGate-Win32 v1.05
    * Origin: fsxNet Usenet Gateway (21:1/5)