By Gilles Dowek (auth.), Robert Nieuwenhuis (eds.)
This publication constitutes the refereed complaints of the 20 th foreign convention on computerized Deduction, CADE-20, held in Tallinn, Estonia, in July 2005.
The 25 revised complete papers and five method descriptions offered have been conscientiously reviewed and chosen from seventy eight submissions. All present facets of computerized deduction are addressed, starting from theoretical and methodological matters to presentation and review of theorem provers and logical reasoning structures.
Read Online or Download Automated Deduction – CADE-20: 20th International Conference on Automated Deduction, Tallinn, Estonia, July 22-27, 2005. Proceedings PDF
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Additional resources for Automated Deduction – CADE-20: 20th International Conference on Automated Deduction, Tallinn, Estonia, July 22-27, 2005. Proceedings
Nguyen. Certifying Term Rewriting Proofs in ELAN. In M. van den Brand and R. Verma, editors, Proceedings of the International Workshop RULE’01, volume 59 of Electronic Notes in Theoretical Computer Science. Elsevier Science Publishers, 2001. 15. G. E. Peterson. A technique for establishing completeness results in theorem proving with equality. SIAM Journal on Computing, 12(1):82–100, Feb. 1983. 16. G. Sutcliffe and C. Suttner. 1. Journal of Automated Reasoning, 21(2):177–203, 1998. 17. The Coq Development Team.
Y˙ 1 , . . , y˙ m , s˙ = t˙ , and we are in the case of the open goal described above. 5 Benchmarks We run successfully CiME and Coq together on 230 problems coming from the TPTP library . These problems are a subset of the 778 unifiability and word problems of TPTP. Some of the 778 TPTP problems are discarded because they are not solved within the given time (298), some others because they do not have a positive answer (11) or because they involve AC symbols (239), not handled by our framework yet.
I xn˙ σ π) . . ). Narrowings. Assume the current goal is an equality ∃x1 , . . s = t and CiME gives a proof trace with a narrowing N = ∃y1 , . . s = t . We do a cut on N˙ . Reflecting Proofs in First-Order Logic with Equality 21 In the left premise, the goal becomes N˙ and we build here the trace for the rest of the lemmata. In the right premise, we apply m times the ∃E rule to obtain the hypotheses . y˙ 1 , . . , y˙ m , s˙ = t˙ , and we are in the case of the open goal described above.