Herbrand Sequent Extraction

ISBN-13: 9783639436808 / Angielski / Miękka / 2012 / 96 str.

Bruno Woltzenlogel Paleo

Opis

Revision with unchanged content. Formal proofs of interesting mathematical theorems are usually too large and full of trivial structural information, and hence hard to understand and analyze. Techniques to extract specific essential information from these proofs are needed. This book describes four algorithms to extract a Herbrand sequent of the end-sequent of proofs written in Gentzen's Sequent Calculus LK for classical First-Order Logic. Within this calculus, we define a Herbrand sequent as a generalization of Herbrand disjunction, and its extraction can be used to summarize the creative information of a formal proof, which lies on the instantiations chosen for the quantifiers. One of these algorithms has been implemented in CERes (Cut-Elimination by Resolution), an automated system for proof transformations and analysis.

O autorze

The author obtained his double M.Sc. degree in Computational Logic at the Dresden University of Technology, Germany, and at the Vienna University of Technology, Austria. He currently works as a research assistant in the Theory and Logic Group of the Institute for Computer Languages at the Vienna University of Technology.