Natural Logic for Textual Inference
| Abstract | This paper presents the first use of a computational model of natural logic—a system of logical inference which operates over natural language—for textual inference. Most current approaches to the PAS- CAL RTE textual inference task achieve robustness by sacrificing semantic precision; while broadly effective, they are easily confounded by ubiquitous inferences involving monotonicity. At the other extreme, systems which rely on first-order logic and theorem proving are precise, but excessively brittle. This work aims at a middle way. Our system finds a low-cost edit sequence which transforms the premise into the hypothesis; learns to classify entailment relations across atomic edits; and composes atomic entailments into a top-level entailment judgment. We provide the first reported results for any system on the FraCaS test suite. We also evaluate on RTE3 data, and show that hybridizing an existing RTE system with our natural logic system yields significant performance gains. | |||||||||
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Anna Zamansky, Nissim Francez & Yoad Winter (2006). A 'Natural Logic' Inference System Using the Lambek Calculus. Journal of Logic, Language and Information 15 (3).
Torben BraÜner (2005). Natural Deduction for First-Order Hybrid Logic. Journal of Logic, Language and Information 14 (2).
Andreas Schöter (1996). Evidential Bilattice Logic and Lexical Inference. Journal of Logic, Language and Information 5 (1).
Ken Akiba (1996). Logic as Instrument: The Millian View on the Role of Logic. History and Philosophy of Logic 17 (1-2):73-83.
Wilfrid Hodges (2009). Traditional Logic, Modern Logic and Natural Language. Journal of Philosophical Logic 38 (6).
Barteld Kooi & Allard Tamminga (2012). Completeness Via Correspondence for Extensions of the Logic of Paradox. The Review of Symbolic Logic 5 (4):720-730.
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