Atocha Aliseda-Llera

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a dissertation submitted to the department of philosophy interdepartmental program in philosophy and symbolic systems and the committee on graduate studies of stanford university in partial fulfillment of the requirements for the degree of doctor of philosophy Abstract 175 Bibliography 177 viii Acknowledgements
This papers presents δ-resolution, a dual resolution calculus. It is based on standard resolution, and uses appropriate formulae equivalent to disjunctive normal forms, instead of conjunctive normal ones, as it is the case for resolution. This duality is then useful to create a calculus for abductive processes, as a way to construct a set of abductive(More)
The motivation for this paper comes out of our experience with teaching natural deduction (ND) and with the way this formal system is implemented by the Coq proof assistant, namely by means of so-called tactics, which are heuristics that transform a goal formula into a sequence of subgoals whose provability implies that of the original formula. We aim at(More)