Discussion
What is the practical summary of inference methods for definite clauses?
Answer: C
Both chaining directions are sound and complete for definite clauses and run in time linear in the knowledge base, which is why this fragment underpins so much practical work. Resolution is also complete but the specialised procedures are far more efficient. The pessimistic options are wrong. A fragment combining adequate expressiveness with linear inference is the sweet spot the whole expressiveness against tractability discussion has been circling. The shared properties explain why these belong to one family, and the differences explain why more than one exists.
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