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Topology, morphisms, and randomness in the space of formal languages [electronic resource] /

by Kephart, David. E.

Abstract (Summary)
ABSTRACT: This paper outlines and implements a systematic approach to the establishment, investigation, and testing of distances and topologies on language spaces. The collection of all languages over a given number of symbols forms a semiring, appropriately termed a language space. Families of languages are defined by interrelations among words. The traditional classification begins with the syntax rules or grammar of the language, that is, the word-transformations by which the entire language can be produced from a single axiom, or starting word. The study of distances between languages as objects and of the topologies induced by language distances upon spaces of languages has been of a limited character. Known language distances introduce topologically awkward features into a language space, such as total disconnectedness.
Bibliographical Information:

Advisor:

School:University of South Florida

School Location:USA - Florida

Source Type:Master's Thesis

Keywords:entropy language norm distance space pseudo metric symbolic dynamics

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