Accession Number:

AD0692421

Title:

NON-DETERMINISTIC AUTOMATA AND EFFECTIVE LANGUAGES.

Descriptive Note:

Technical rept.,

Corporate Author:

IOWA UNIV IOWA CITY DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1969-08-01

Pagination or Media Count:

131.0

Abstract:

In the dissertation, the concept of a finite automation is extended to a non-deterministic automaton over any arbitrary semigroup. The languages recognized by these non-deterministic automata are also characterized by regular expressions. Then a specific subclass of these automata is defined as deterministic automata which are characterized by congruences of finite index on the semigroup. The closure properties of these languages are then examined. In order to relate the languages recognized by non-deterministic automata to computable sets or formal languages, a specific type of computable semigroup called sigma-effective semigroup is introduced. Then associated classes of effective languages are defined. It is shown that for any sigma-effective semigroup one can constructively find another which is finitely generated such that the two effective languages are the same.

Subject Categories:

  • Linguistics
  • Computer Programming and Software
  • Bionics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE