Languages Accepted by Automata with Counters
James Ross / Eastern Kentucky University
Automata with counter monoids, grammars and automata, context sensitive languages and word problems are examined. Included are: the non-existence of a classifying counter language for context sensitive languages, a method of forming a grammar for a language given an automaton that accepts the language, and closure properties of free products. The main result involves a form of counter that is closed under free products of word problems.