An extended model of natural logic

We propose a model of natural language inference which identifies valid inferences by their lexical and syntactic features, without full semantic interpretation. We extend past work in natural logic, which has focused on semantic containment and monotonicity, by incorporating both semantic exclusion and implicativity. Our model decomposes an inference problem into a sequence of atomic edits linking premise to hypothesis; predicts a lexical semantic relation for each edit; propagates these relations upward through a semantic composition tree according to properties of intermediate nodes; and joins the resulting semantic relations across the edit sequence. A computational implementation of the model achieves 70% accuracy and 89% precision on the FraCaS test suite. Moreover, including this model as a component in an existing system yields significant performance gains on the Recognizing Textual Entailment challenge.

[1]  Michael Böttner,et al.  A note on existential import , 1988, Stud Logica.

[2]  Johan van Benthem,et al.  The semantics of variety in categorial grammar , 1988 .

[3]  Victor Sanchez,et al.  Studies on Natural Logic and Categorial Grammar , 1991 .

[4]  Rob A. van der Sandt,et al.  Presupposition Projection as Anaphora Resolution , 1992, J. Semant..

[5]  J.F.A.K. van Benthem,et al.  Language in Action: Categories, Lambdas and Dynamic Logic , 1997 .

[6]  Stephen Pulman,et al.  Using the Framework , 1996 .

[7]  Yaroslav Fyodorov,et al.  A Natural Logic Inference System , 2000 .

[8]  Daniel G. Bobrow,et al.  Entailment, intensionality and text understanding , 2003, HLT-NAACL 2003.

[9]  G. Lakoff Linguistics and natural logic , 1970, Synthese.

[10]  Ido Dagan,et al.  Web Based Probabilistic Textual Entailment , 2005 .

[11]  Andrew Hickl,et al.  Recognizing Textual Entailment with LCC’s G ROUNDHOG System , 2005 .

[12]  Jan van Eijck,et al.  Natural Logic for Natural Language , 2007, TbiLLC.

[13]  Ido Dagan,et al.  The Third PASCAL Recognizing Textual Entailment Challenge , 2007, ACL-PASCAL@ACL.

[14]  Johan Bos,et al.  Recognising Textual Entailment with Logical Inference , 2005, HLT.

[15]  Christopher D. Manning,et al.  Learning to recognize features of valid textual entailments , 2006, NAACL.

[16]  C. Condoravdi,et al.  Computing relative polarity for textual inference , 2006 .

[17]  Eric Yeh,et al.  Learning Alignments and Leveraging Natural Logic , 2007, ACL-PASCAL@ACL.

[18]  Ido Dagan,et al.  The Third PASCAL Recognizing Textual Entailment Challenge , 2007, ACL-PASCAL@ACL.

[19]  J. Benthem A brief history of natural logic , 2008 .

[20]  Christopher D. Manning,et al.  Modeling Semantic Containment and Exclusion in Natural Language Inference , 2008, COLING.

[21]  Christopher D. Manning,et al.  A Phrase-Based Alignment Model for Natural Language Inference , 2008, EMNLP.

[22]  Doug Downey,et al.  It’s a Contradiction – no, it’s not: A Case Study using Functional Relations , 2008, EMNLP.

[23]  Sari Roman-Lagerspetz Learning to recognize , 2011 .