Automated Deduction in Equational Logic and Cubic Curves

W. McCune, R. Padmanabhan (auth.)3540613986, 9783540613985

This monograph is the result of the cooperation of a mathematician working in universal algebra and geometry, and a computer scientist working in automated deduction, who succeeded in employing the theorem prover Otter for proving first order theorems from mathematics and then intensified their joint effort.
Mathematicians will find many new results from equational logic, universal algebra, and algebraic geometry and benefit from the state-of-the-art outline of the capabilities of automated deduction techniques. Computer scientists will find a large and varied source of theorems and problems that will be useful in designing and evaluation automated theorem proving systems and strategies.

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Table of contents :
Introduction….Pages 1-9
Otter and MACE….Pages 11-31
Algebras over algebraic curves….Pages 33-62
Other ( gL )-algebras….Pages 63-94
Semigroups….Pages 95-107
Lattice-like algebras….Pages 109-154
Independent self-dual bases….Pages 155-182
Miscellaneous topics….Pages 183-205