Focusing the Inverse Method for Linear Logic

Abstract. Focusing is traditionally seen as a means of reducing inessential nondeterminism in backward-reasoning strategies such as uniform proof-search or tableaux systems. In this paper we construct a form of focused derivations for propositional linear logic that is appropriate for forward reasoning in the inverse method. We show that the focused inverse method conservatively generalizes the classical hyperresolution strategy for Horn-theories, and demonstrate through a practical implementation that the focused inverse method is considerably faster than the non-focused version.

• Type: Conference
• Year: 2005
• Where: CSL
• Authors: Kaustuv Chaudhuri, Frank Pfenning
• Keywords: CSL 2005, Focused Inverse Method, Inverse Method, Propositional Linear Logic