Relationships between Specified and Underspecified Quantification by the Theory of Acyclic Recursion

Abstract

The paper introduces a technique for representing quantifier relations that can have different scope order depending on context. The technique is demonstrated by classes of terms denoting relations, where each of the arguments of a relation term is bound by a different quantifier. We represent a formalization of linking quantifiers with the corresponding argument slots that they bind, across lambda-abstractions and reduction steps. The purpose of the technique is to represent underspecified order of quantification, in the absence of a context and corresponding information about the order. Furthermore, it is used to represent subclasses of larger classes of relations depending on order of quantification or specific relations.
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Loukanova, R. (2016). Relationships between Specified and Underspecified Quantification by the Theory of Acyclic Recursion. ADCAIJ: Advances in Distributed Computing and Artificial Intelligence Journal, 5(4), 19–42. https://doi.org/10.14201/ADCAIJ2016541942

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Author Biography

Roussanka Loukanova

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Stockholm University, Sweden
Department of Mathematics, Ph.D., Researcher
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