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The problem of automated theorem finding

  • Basic Research Problems
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Abstract

This article is the twenty-fifth of a series of articles discussing various open research problems in automated reasoning. The problem proposed for research asks one to identify appropriate properties to permit an automated reasoning program tofind new and interesting theorems, in contrast toproving conjectured theorems. Such programs are now functioning in many domains as valuable reasoning assistants. A sharp increase in their value would occur if they could also be used as colleagues to (so to speak) produce research on their own.

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References

  1. McCune, W. W., ‘Automated discovery of new axiomatizations of the left group and right group calculi’,J. Automated Reasoning 9, 1–24 (1992).

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  2. McCune, W. W., ‘Single axioms for groups and Abelian groups with various operations’,J. Automated Reasoning 10, 1–13 (1993).

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  3. Wos, L.,Automated Reasoning: 33 Basic Research Problems, Prentice-Hall, Englewood Cliffs, New Jersey (1988).

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  4. Wos, L., Overbeek, R., Lusk, E., and Boyle, J.,Automated Reasoning: Introduction and Applications, 2nd edn, McGraw-Hill, New York (1992).

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This work was supported by the Office of Scientific Computing, U.S. Department of Energy, under Contract W-31-109-Eng-38.

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Wos, L. The problem of automated theorem finding. J Autom Reasoning 10, 137–138 (1993). https://doi.org/10.1007/BF00881868

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  • DOI: https://doi.org/10.1007/BF00881868

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