This paper gives a tableau-based technique for converting formulas in finite propositional linear-time temporal logic (Finite LTL) into finite-state automata whose languages are the models of given formula. Finite LTL differs from traditional that interpreted with respect to finite, rather than infinite, sequences states; this fact means automata, ω -automata such as those developed by Büchi an...

Abstract We investigate finite automata whose state graphs are undirected. This means that for any transition from p to q consuming some letter a the input there exists symmetric as well. So, corresponding language families subregular, and in particular deterministic case, subreversible. In detail, we study operational descriptional complexity of nondeterministic undirected automata. To this en...

Reversible finite automata with halting states (RFA) were first considered by Ambainis and Freivalds to facilitate the research of Kondacs-Watrous quantum finite automata. In this paper we consider some of the algebraic properties of RFA, namely the varieties these automata generate. Consequently, we obtain a characterization of the boolean closure of the classes of languages recognized by thes...

Theories of fuzzy sets and type-2 fuzzy sets are powerful mathematical tools for modeling various types of uncertainty. In this paper we introduce the concept of type-2 fuzzy finite state automata and discuss the algebraic study of type-2 fuzzy finite state automata, i.e., to introduce the concept of homomorphisms between two type-2 fuzzy finite state automata, to associate a type-2 fuzzy trans...

We introduce a subclass of non deterministic finite automata (NFA) that we call Residual Finite State Automata (RFSA): a RFSA is a NFA all the states of which define residual languages of the language it recognizes. We prove that for every regular language L, there exists a unique RFSA that recognizes L and which has both a minimal number of states and a maximal number of transitions. Moreover,...

This research puts forward rough finite state automata which have been represented by two variants of BDD called ROBDD and ZBDD. The proposed structures have been used in networked system diagnosis and can overcome cominatorial explosion. In implementation the CUDD - Colorado University Decision Diagrams package is used. A mathematical proof for claimed complexity are provided which shows ZBDD ...

This paper presents adaptive finite state automata as an alternative formalism to model individuals in a genetic algorithm environment. Adaptive finite automata, which are basically finite state automata that can change their internal structures during operation, have proven to be an attractive way to represent simple learning strategies. We argue that the merging of adaptive finite state autom...