Abstract

The Illinois prover is a resolution theorem prover fox first-order logic with equality, implemented as part of the first author's Ph.D. thesis at the University of Illinois at Urbana-Champaign. This prover was originally intended as a testhed for the abstraction strategies given in PIaisted[81]. We needed a resolution theorem prover mainly for comparison purposes to know how good the abstraction strategy was. However, the resolution theorem prover improved so dramatically that our focus shifted to it instead. Abstraction may be useful on problems with many predicate and function symbols and short proofs, unlike the examples we tried.

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