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Research Report CS-RR-193

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Ian P. Gent and A.G. Cohn, Reasoning about Hybrid Reasoning: a Discussion (September 1, 1991).

Abstract

In this discussion we outline an approach to reasoning about hybrid reasoning systems. We believe that following this approach allows theoretical results to be obtained rapidly, allows a high level of understanding about the relationship between different hybrid reasoning systems, and allows advantage to be taken of results about classical systems. There are two aspects to the approach we propose. First, we suggest that we should treat hybrid reasoning systems in as much generality as possible. Second, although we acknowledge that unification is of central importance in hybrid reasoning systems, we think it can be a mistake to centre theoretical treatments of hybrid reasoning systems on unification itself. Instead we suggest that one should consider proof systems without unification and then introduce unification as a purely syntactic measure to improve efficiency.

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I.P. Gent and A.G. Cohn, "Reasoning about Hybrid Reasoning: a Discussion", Working Notes of AAAI Fall Symposium on the Principles of Hybrid Reasoning, Asilomar (1991)

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