Abstract
Our purpose is to discuss a series of experiments proposed by Bledsoe [1] using a general purpose theorem prover, complete for first order logic, based on the resolution principle of Robinson but enhanced by an extended definition of resolution which incorporates the axioms of equality.
Preview
Unable to display preview. Download preview PDF.
References
W.W. Bledsoe: Challenge Problems in Elementary Calculus. Jn. Automated Reasoning, Vol. 6, No.3, Sept1990, 341–359.
J.A.Robinson:Automatic Deduction with Hyperresolution. Int.Journal of Computational Math, 1965, 227–234.
V.J. Digricoli, M.C. Harrison:Equality-Based Binary Resolution. Journal ACM,v33, n2, Apr1986, 253–289.
V.J.Digricoli:The Management of Heuristic Search in Boolean Exp's with RUE Resolution.IJCAI-85,1154–1161.
V.J.Digricoli,J.Lu,V.Subrahmanian:And-Or Graphs Applied to RUE Resolution.IJCAI-89,354–358.
L.A.Wos,R.A.Overbeek,L.Henschen:Hyperparamodulation-a Refinement of Paramodulation.CADE-5,1980,208–219.
J.B.Morris:E-Resolution:an Extension of Resolution to Include the Equality Relation.IJCAI-69,287–294.
G.G.Birkhoff:Distributive Postulates for Systems Like Boolean Algebra.Trans Am Math Society,v60,July–Dec1946.
C.Chang,R.Lee:Symbolic Logic and Mechanical Theorem Proving.Academic Press, 1989.
V.J.Digricoli:Resolution by Unification and Equality. Dissertation Courant Institute,February 1983.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Digricoli, V.J., Kochendorfer, E. (1992). LIM+ challenge problems by RUE hyper-resolution. In: Kapur, D. (eds) Automated Deduction—CADE-11. CADE 1992. Lecture Notes in Computer Science, vol 607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55602-8_169
Download citation
DOI: https://doi.org/10.1007/3-540-55602-8_169
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-55602-2
Online ISBN: 978-3-540-47252-0
eBook Packages: Springer Book Archive