Closure properties of hyper-minimized automata

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

Cost register automata (CRA) and its subclass, copyless CRA, were recently proposed by Alur et al. as a new model for computing functions over strings. We study structural properties, expressiveness, and closure properties of copyless CRA. We show that copyless CRA are strictly less expressive than weighted automata and are not closed under reverse operation. To find a better class we impose re...

An nlogn algorithm for hyper-minimizing a (minimized) deterministic automaton

We improve a recent result [Badr: Hyper-minimization inO(n). Int. J. Found. Comput. Sci. 20, 2009] for hyper-minimized nite automata. Namely, we present an O(n log n) algorithm that computes for a given deterministic nite automaton (dfa) an almostequivalent dfa that is as small as possible such an automaton is called hyper-minimal. Here two nite automata are almost-equivalent if and only if the...

Hyper-Minimizing States in a (Minimized) Deterministic Automaton

We improve a recent result [A. Badr: Hyper-Minimization in O(n). In Proc. CIAA, LNCS 5148, 2008] for hyper-minimized finite automata. Namely, we present an O(n log n) algorithm that computes for a given finite deterministic automaton (dfa) an almost equivalent dfa that is as small as possible—such an automaton is called hyper-minimal. Here two finite automata are almost equivalent if and only i...

Closure, Properties and Closure Properties of Multirelations

Hyper-minimisation of weighted finite automata