A spectrum of applications of automated reasoning.

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The likelihood of an automated reasoning program being of substantial assistance for a wide spectrum of applications rests with the nature of the options and parameters it offers on which to base needed strategies and methodologies. This article focuses on such a spectrum, featuring W. McCune's program OTTER, discussing widely varied successes in answering open questions, and touching on some of the strategies and methodologies that played a key role. The applications include finding a first proof, discovering single axioms, locating improved axiom systems, and simplifying existing proofs. The last application is directly pertinent to the recently found (by R. ... continued below

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13 pages

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Wos, L. February 1, 2002.

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Description

The likelihood of an automated reasoning program being of substantial assistance for a wide spectrum of applications rests with the nature of the options and parameters it offers on which to base needed strategies and methodologies. This article focuses on such a spectrum, featuring W. McCune's program OTTER, discussing widely varied successes in answering open questions, and touching on some of the strategies and methodologies that played a key role. The applications include finding a first proof, discovering single axioms, locating improved axiom systems, and simplifying existing proofs. The last application is directly pertinent to the recently found (by R. Thiele) Hilbert's twenty-fourth problem--which is extremely amenable to attack with the appropriate automated reasoning program, a problem concerned with proof simplification. The methodologies include those for seeking shorter proofs and for finding proofs that avoid unwanted lemmas or classes of term, a specific option for seeking proofs with smaller equational or formula complexity, and a different option to address the variable richness of a proof. The type of proof one obtains with the use of OTTER is Hilbert-style axiomatic, including details that permit one sometimes to gain new insights. We include questions still open and challenges that merit consideration.

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13 pages

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  • 2002 AMS and MAA Spring Southeastern Section Meeting, Atlanta, GA (US), 03/08/2002--03/10/2002

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  • Report No.: ANL/MCS/CP-106778
  • Grant Number: W-31-109-ENG-38
  • Office of Scientific & Technical Information Report Number: 793070
  • Archival Resource Key: ark:/67531/metadc733479

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  • February 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • March 23, 2016, 6:53 p.m.

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Wos, L. A spectrum of applications of automated reasoning., article, February 1, 2002; Illinois. (digital.library.unt.edu/ark:/67531/metadc733479/: accessed August 18, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.