We present a strategy for restricting the application of the inference rule paramodulation. The strategy applies to problems in first-order logic with equality and is designed to ...
We define two notions for intuitionistic predicate logic: that of a submodel of a Kripke model, and that of a universal sentence. We then prove a corresponding preservation theor...
Ben Ellison, Jonathan Fleischmann, Dan McGinn, Wim...
network of theories. Results are typically proved in compact, abstract theories, and then transported as needed to more concrete theories, or indeed to Supported by the MITRE-Spon...
William M. Farmer, Joshua D. Guttman, F. Javier Th...
Type classes and overloading are shown to be independent concepts that can both be added to simple higher-order logics in the tradition of Church and Gordon, without demanding more...
Tarski-Givant's map calculus is briefly reviewed, and a plan of research is outlined aimed at investigating applications of this ground equational formalism in the theorem-pr...
Andrea Formisano, Eugenio G. Omodeo, Marco Temperi...