Is Horn clause logic decidable?
Daniel Schwartz
schwartz at cs.fsu.edu
Mon Oct 18 08:35:22 EDT 2021
Thanks to everyone for your replies. This is very helpful, and appreciated.
Dan Schwartz
------------------------------------------------------------------------
Daniel Schwartz <schwartz at cs.fsu.edu> wrote:
> I have been told that Horn Clause Logic, considered as a subsystem of
> First-Order Logic, is undecidable. More exactly, if S is a set of Horn
> clauses and P is an atom, then whether P is derivable from S is undecidable.
>
> However, I have never seen a proof of this and have been unable to find any
> discussion of it.
>
> Would anyone know whether this statemnt is true, and could you provide a
> refernce?
>
> Thanks and best regards,
>
> Dan Schwartz
>
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