Minimisation of acyclic deterministic automata in linear time

Minimisation of Deterministic Parity and Buchi Automata and Relative Minimisation of Deterministic Finite Automata

In this report we study the problem of minimising deterministic automata over finite and infinite words. Deterministic finite automata are the simplest devices to recognise regular languages, and deterministic Büchi, Co-Büchi, and parity automata play a similar role in the recognition of ω-regular languages. While it is well known that the minimisation of deterministic finite and weak automata ...

Exact enumeration of acyclic deterministic automata

A linear recurrence relation is derived for the number of unlabelled initially connected acyclic automata. The coefficients of this relation are determined by another, alternating, recurrence relation. The latter determines, in particular, the number of acyclic automata with labelled states. Certain simple enumerative techniques developed by the author for counting initially connected automata ...

Exact Generation of Acyclic Deterministic Finite Automata

We give a canonical representation for trim acyclic deterministic finite automata (ADFA) with n states over an alphabet of k symbols. Using this normal form, we present a backtracking algorithm for the exact generation of ADFAs. This algorithm is a non trivial adaptation of the algorithm for the exact generation of minimal acyclic deterministic finite automata (MADFA), presented by Almeida et al..

Linear Time Logic and Deterministic omega-Automata

A Taxonomy of Minimisation Algorithms for Deterministic Tree Automata

We present a taxonomy of algorithms for minimising deterministic bottomup tree automata (dtas) over ranked and ordered trees. Automata of this type and its extensions are used in many application areas, including natural language processing (nlp) and code generation. In practice, dtas can grow very large, but minimisation keeps things manageable. The proposed taxonomy serves as a unifying frame...