We study the complexity of the model checking problem, for fixed models A, over certain fragments L of first-order logic, obtained by restricting which of the quantifiers and boole...
We address some aspects of a proposed system architecture for mathematical assistants, integrating calculations and deductions by common infrastructure within the Isabelle theorem ...
Logic programming provides a uniform framework in which all aspects of explanation-based generalization and learning may be defined and carried out, but first-order Horn logic i...
Theoretical research has spent some years facing the problem of how to represent and provide semantics to updates of logic programs. This problem is relevant for addressing highly ...
L APPROACH TO ABSTRACT ALGEBRA THIERRY COQUAND AND HENRI LOMBARDI Recent work in constructive mathematics show that Hilbert’s program works rge part of abstract algebra. Using in...