IRCS Technical Reports Series

Document Type

Technical Report

Date of this Version

March 1995

Comments

University of Pennsylvania Institute for Research in Cognitive Science Technical Report No. IRCS-95-02.

Abstract

We provide first-order axioms for the theories of finite trees with bounded branching and finite trees with arbitrary (finite) branching. The signature is chosen to express, in a natural way, those properties of trees most relevant to linguistic theories. These axioms provide a foundation for results in linguistics that are based on reasoning formally about such properties. We include some observations on the expressive power of these theories relative to traditional language complexity classes.

Keywords

Trees, First-Order Theories, Axiomatizations, Natural Language Syntax, Ehrenfeucht-Fraisse Games

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Date Posted: 14 September 2006