Array Automata and Array Grammars, 2.

Abstract

Finite automata having two-dimensional tapes are much less well-behaved than their one-dimensional counterparts. In particular, for such automata, one-way is weaker than two-way, array-bounded is weaker than non-array-bounded, and deterministic is weaker than nondeterministic. It also appears to be difficult to define a natural class of array grammars that is equal in power to any of these types of array automata; all of the definitions formulated thus far either have the wrong power or have some degree of artificiality. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0739581

Entities

People

  • Azriel Rosenfeld
  • David L. Milgram

Organizations

  • University of Maryland

Tags

DTIC Thesaurus Topics

  • Automata
  • Geometry
  • Machines
  • Mathematics
  • Two Dimensional

Readers

  • Computational Linguistics
  • Mathematical Modeling and Probability Theory.