First-order logic and automated theorem proving (2nd ed.)
First-order logic and automated theorem proving (2nd ed.)
Basic proof theory
Ambiguity and reasoning
LACL '98 Selected papers from the Third International Conference, on Logical Aspects of Computational Linguistics
A Resolution Calculus for Dynamic Semantics
JELIA '98 Proceedings of the European Workshop on Logics in Artificial Intelligence
A Tableau Calculus for Pronoun Resolution
TABLEAUX '99 Proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods
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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 effciency.