Automated reasoning: 33 BASIC research problems
Automated reasoning: 33 BASIC research problems
Computational approaches to analogical reasoning: a comparative analysis
Artificial Intelligence
Equational problems anddisunification
Journal of Symbolic Computation
Automated reasoning (2nd ed.): introduction and applications
Automated reasoning (2nd ed.): introduction and applications
A method for simultaneous search for refutations and models by equational constraint solving
Journal of Symbolic Computation
Building Proofs by Analogy via the Curry-Horward Isomorphism
LPAR '92 Proceedings of the International Conference on Logic Programming and Automated Reasoning
Building Proofs or Counterexamples by Analogy in a Resoluton Framework
JELIA '96 Proceedings of the European Workshop on Logics in Artificial Intelligence
Model Building and Interactive Theory Discovery
TABLEAUX '95 Proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods
Efficient Second-Order Matching
RTA '96 Proceedings of the 7th International Conference on Rewriting Techniques and Applications
A Method for Building Models Automatically. Experiments with an Extension of OTTER
CADE-12 Proceedings of the 12th International Conference on Automated Deduction
Analogy as a means of discovery in problem solving and learning
Analogy as a means of discovery in problem solving and learning
Automated theorem proving: A logical basis (Fundamental studies in computer science)
Automated theorem proving: A logical basis (Fundamental studies in computer science)
A model of analogy-driven proof-plan construction
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Second-order matching modulo evaluation: a technique for reusing proofs
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Extending semantic resolution via automated model building: applications
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Emphasizing Human Techniques in Automated Geometry Theorem Proving: A Practical Realization
ADG '00 Revised Papers from the Third International Workshop on Automated Deduction in Geometry
Tractable and intractable second-order matching problems
COCOON'99 Proceedings of the 5th annual international conference on Computing and combinatorics
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Taking an extension of resolution as a base calculus (though the sameprinciples are applicable to other calculi) for searching proofs(refutations) and counterexamples (models), we introduce a new method ableto find refutations and also models by analogy with refutations and modelsin a knowledge base. The source objects for the analogy process aregeneralizations of the refutations (models). They are included in theknowledge base, and then higher-order matching techniques for the choice ofthe relevant source objects as well as the building of a new proof or amodel by analogy are used. Some comparisons with existing methods as well astwo detailed running examples on generalization show evidence of theinterest of our approach.