We present in this paper a methodology how to use 'Parallel Automaton' to set up the requirements, to specify and to execute small Computer Based Systems (CBS). A 'Parallel Automaton' is an extended form of the Mealy Machine. It handles a finite set of events (or variable conditions or clock conditions) which can occur in parallel, and performs a finite set of actions which can be done in paral...

Abstraction is a leading technique for coping with large state spaces. Abstraction over-approximates the transitions of the original system or the automaton that models it and may introduce nondeterminism. In applications where determinism is essential, we say that an abstraction function is helpful if, after determining and minimizing the abstract automaton, we end up with fewer states than th...

A central result in the theory of ω-automata is McNaughton's Theorem which states that every Buchi automaton is equivalent to a deterministic Muller automaton. The complexity of McNaughton's algorithm is huge. Safra provided an optimal construction. Safra's algorithm converts a Buchi automaton with n states to a deterministic Rabin automaton with n states. Much e orts have been invested to redu...

the re is no uniform bound on the loss of time incurred when some universal automaton globally simulates another automaton. More precisely, define an automaton to be a partial recursive function with decidable domain. Say that an automaton U locally simulates an automaton f via recursive, injective encoding cr with recursive time bound b iff for all z, z ' C IN the following holds: f ( z ) = z'...

In this paper, we show that for any BL-general L-fuzzy automaton (BL-GLFA) there exists a complete deterministic accessible reduced BL-general L-fuzzy automaton that recognizing the behavior of the BL-GLFA. Also, we prove that for any finite realization β, there exists a minimal complete deterministic BL-GLFA recognizing β. We prove any complete deterministic accessible reduced BL-GLFA is a min...