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Cost register automata (CRA) and its subclass, copyless CRA, were recentlyproposed by Alur et al. as a new model for computing functions over strings. Westudy some structural properties, expressiveness, and closure properties ofcopyless CRA. We show that copyless CRA are strictly less expressive thanweighted automata and are not closed under reverse operation. To find a betterclass we impose restrictions on copyless CRA, which ends successfully with anew robust computational model that is closed under reverse and otherextensions.

Copyless Cost-Register Automata: Structure, Expressiveness, and Closure Properties