Is Horn clause logic decidable?
Daniel Schwartz
schwartz at cs.fsu.edu
Sat Oct 16 17:59:34 EDT 2021
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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Dept. of Computer Science, MC 4530 CS Dept 850-644-4029
Florida State University Fax 850-644-0058
Tallahassee, FL 32306-4530 schwartz at cs.fsu.edu
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