IRCS Technical Reports Series
Document Type
Technical Report
Date of this Version
March 1995
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
COinS
Date Posted: 14 September 2006
Comments
University of Pennsylvania Institute for Research in Cognitive Science Technical Report No. IRCS-95-02.