Abstract
Coping with ambiguity has recently received a lot of attention in natural language processing. Most work focuses on the semantic representation of ambiguous expressions. In this paper we complement this work in two ways. First, we provide an entailment relation for a language with ambiguous expressions. Second, we give a sound and complete tableaux calculus for reasoning with statements involving ambiguous quantification. The calculus interleaves partial disambiguation steps with steps in a traditional deductive process, so as to minimize and postpone branching in the proof process, and thereby increases its efficiency.
The research in this paper was supported by the Spinoza project ‘Logic in Action’ at the University of Amsterdam.
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References
J. Bos. Predicate logic unplugged. In P. Dekker and M. Stokhof, editors, Proc. 10th Amsterdam Colloquium. ILLC, University of Amsterdam, 1995.
K. van Deemter. Towards a logic of ambiguous expressions. In S. Peters, editors. Semantic Ambiguity and Underspecification. CSLI Publications, 1996 Peters and Deemter [DP96].
K. van Deemter and S. Peters, editors. Semantic Ambiguity and Underspecification. CSLI Publications, 1996.
J. van Eijck and J. Jaspars. Ambiguity and reasoning. Technical Report CS-R9616, Centrum voor Wiskunde en Informatica, Amsterdam, 1996.
M. Fitting. First-Order Logic and Automated Theorem Proving. Springer-Verlag New York, 2nd edition, 1996.
J. Jaspars. Minimal logics for reasoning with ambiguous expressions. CLAUS-Report 94, University of Saarbrücken, 1997.
H. S. Kurtzman and M. C. MacDonald. Resolution of quantifier scope ambiguities. Cognition, 48:243–279, 1993.
E. König. A study in grammar design. Arbeitspapier des Sonderforschungsbereich 340 no. 54, Institut für Maschinelle Sprachverarbeitung, 1994.
E. König and U. Reyle. A general reasoning scheme for underspecified representations. In H.-J. Ohlbach and U. Reyle, editors, Logic and Its Applications. Festschrift for Dov Gabbay. Kluwer Academic Publishers, 1996.
C. Monz and M. de Rijke. Reasoning with ambiguous expressions. Unpublished manuscript, 1998.
U. Reyle. Dealing with ambiguities by underspecification: Construction, representation, and deduction. Journal of Semantics, 10(2):123–179, 1993.
A. S. Troelstra and H. Schwichtenberg. Basic Proof Theory. Cambridge University Press, 1996.
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Monz, C., de Rijke, M. (1998). A Tableaux Calculus for Ambiguous Quantifiation. In: de Swart, H. (eds) Automated Reasoning with Analytic Tableaux and Related Methods. TABLEAUX 1998. Lecture Notes in Computer Science(), vol 1397. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69778-0_25
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DOI: https://doi.org/10.1007/3-540-69778-0_25
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