@MISC{König_amatrix, author = {Esther König}, title = {A Matrix Proof Method for Underspecified Discourse Representation Structures}, year = {} }
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Abstract
Matrix-based proof methods do not enumerate proof trees as such but collect constraints on possible proof trees. A satisfiable set of constraints stands for a non-empty set of proof trees. Recently, this method of structural underspecification on the meta-level (the level of proofs) has found a counterpart on the object-level (the formulas): Reyle's Underspecified Discourse Representation Structures (UDRS's) [11], a linguistically motivated variant of Predicate Logic. We merge the two levels of structural underspecification in order to obtain a matrix-based proof system which reasons as directly as possible on the original UDRS's.