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The generation of models and counterexamples is an important form of reasoning. In this paper, we give a formal account of a system, called FALCON, for constructing finite algebras from given equational axioms. The abstract algorithms, as well as some implementation details and sample...
In this article, I present experimental evidence of the value of combining two strategies each of which has proved powerful in various contexts. The resonance strategy gives preference (for directing a program's reasoning) to equations or formulas that have the same shape (ignoring variables) as...
We describe a semantics for answer literals that is not tied to the specific detaisl of the resolution proof procedure. We also describe a number of applications of answer literals to mathematical theorem proving.
We study in this paper the use of consistency techniques and local propagation methods, originally developed for constraints over finite domains, for solving boolean constraints in Constraint Logic Programming (CLP). To this aim, we first present a boolean CLP language clp(B/FD) built upon a CLP...
It is shown that theories presented by a set of ground equations with several associative-commutative (AC) symbols always admit a finite canonical system. This result is obtained through the construction of a reduction ordering that is AC-compatible and total on the set of congruence classes...
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