Number:
CS 59/93
Author(s):
KALJULAID, Uno, MERISTE, Merik, PENJAM, Jaan.
Title:
Algebraic theory of tape-controlled attributed automata.28p.
Language:
English FULL REPORT AVAILABLE: ftp greta.cs.ioc.ee\pub\CS_Reports\CS59_93.ps.Z

ABSTRACT. Compositional theory of tape-controlled attributed automata is considered together with related developments in formal languages theory and algebra. It is proven that a class of finite automata defines a Grothendieck topology and the conditions are developed when a set of states of an automation determines a sheaf of sets of objects in the induced topological category. These two results are expected to be used in the proof that the induced fiber product of a Grothendieck topology is suitable for decomposition of tape- controlled attributed automata.