This paper presents an efficient random generator, based on a Boltzmann sampler, for accessible, deterministic and possibly not complete automata. An interesting intermediate result is that for any finite alphabet, the proportion of complete automata with n states amongst deterministic and accessible ones is greater than a positive constant.

Abstract We show that the finite sequentiality problem is decidable for finitely ambiguous max-plus tree automata. A automaton a weighted over semiring. called if number of accepting runs on every bounded by global constant. The asks whether given automaton, there exist many deterministic automata whose pointwise maximum equivalent to automaton.

Deterministic graph grammars are finite devices which generate the transition graphs of pushdown automata. We define the notion of synchronization by grammars, generalizing previous sub-classes such as visibly and height-deterministic pushdown automata. The languages recognized by grammars synchronized by a given grammar form an effective boolean algebra lying between regular languages and dete...

Stochastic deterministic finite automata have been introduced and are used in a variety of settings. We report here a number of results concerning the learnability of these finite state machines. In the setting of identification in the limit with probability one, we prove that stochastic deterministic finite automata cannot be identified from only a polynomial quantity of data. If concerned wit...

A syntax directed mapping is presented from Propositional Temporal Logic (PTL) formulae to Müller type finite automata. This is a direct and much more elegant and easier to implement approach than previously described methods. Most of these methods are based on tableau methods for satisfiability checking, and after that a Büchi type of automaton is extracted. Büchi and Müller automata are equal...

Hyper-minimisation of deterministic finite automata is a recently introduced state reduction technique that allows a finite change in the recognised language. A generalisation of this lossy compression method to the weighted setting over semifields is presented, which allows the recognised formal power series to differ for finitely many input strings. First, the structure of hyper-minimal deter...

Practical property specification languages such as the IEEE standard PSL use at their core Sequential Extended Regular Expressions (SERE). In order to enable the reuse of traditional verification techniques, it is necessary to translate SEREs into automata. SERE are regular expressions built over alphabets resulting from the state variables of the design under analysis. Thus, a traditional appr...

We consider the model of deterministic set automata which are basically deterministic finite automata equipped with a set as an additional storage medium. The basic operations on the set are the insertion of elements, the removing of elements, and the test whether or not an element is in the set. We investigate the computational power of deterministic set automata and compare the language class...

Fuzzy automata have long been accepted as a generalization of nondeterministic finite automata. A closer examination, however, shows that the fundamental property—nondeterminism—in nondeterministic finite automata has not been well embodied in the generalization. In this paper, we introduce nondeterministic fuzzy automata with or without -moves and fuzzy languages recognized by them. Furthermor...