The problem of automated theorem finding
- 48 Downloads
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.
Key wordsTheorem finding unsolved research problem
- 1.McCune, W. W., ‘Automated discovery of new axiomatizations of the left group and right group calculi’,J. Automated Reasoning 9, 1–24 (1992).Google Scholar
- 2.McCune, W. W., ‘Single axioms for groups and Abelian groups with various operations’,J. Automated Reasoning 10, 1–13 (1993).Google Scholar
- 3.Wos, L.,Automated Reasoning: 33 Basic Research Problems, Prentice-Hall, Englewood Cliffs, New Jersey (1988).Google Scholar
- 4.Wos, L., Overbeek, R., Lusk, E., and Boyle, J.,Automated Reasoning: Introduction and Applications, 2nd edn, McGraw-Hill, New York (1992).Google Scholar