Inhalt

Allocution d'ouverture.- Presentation d'un langage de formalisation des demonstrations mathematiques naturelles.- The mathematical language AUTOMATH, its usage, and some of its extensions.- Proof theory and the accuracy of computations.- Aspects du Theoreme de completude selon Herbrand.- Decision procedure for theories categorical in Alefo.- On the long-range prospects of automatic theorem-proving.- The case for using equality axioms in automatic demonstration.- Hilbert's programme and the search for automatic proof procedures.- A linear format for resolution.- Refinement theorems in resolution theory.- Definitional approach to automatic demonstration.- Heuristic interest of using metatheorems.- A proof procedure with matrix reduction.- Axiom systems in automatic theorem proving.- Constructive validity.- Paramodulation and set of support.