Self-regulating finite automata

This paper introduces and discusses self-regulating finite automata. In essence, these automata regulate the use of their rules by a sequence of rules applied during previous moves. A special attention is paid to turns defined as moves during which a self-regulating finite automaton starts a new self-regulating sequence of moves. Based on the number of turns, the present paper establishes two infinite hierarchies of language families resulting from two variants of these automata. In addition, it demonstrates that these hierarchies coincide with the hierarchies resulting from parallel right linear grammars and right linear simple matrix grammars, so the self-regulating finite automata can be viewed as the automaton counterparts to these grammars. Finally, this paper compares both infinite hierarchies. In addition, as an open problem area, it suggests the discussion of self-regulating pushdown automata and points out that they give rise to no infinite hierarchy analogical to the achieved hierarchies resulting from the self-regulating finite automata

Transducer Systems

Tato práce zavádí systémy zásobníkových převodníků. Základní myšlenka vychází z kooperujících distribuovaných gramatických systémů, které umožňují práci více gramatik na jednom řetězci. Převodníky spolupracují předáváním výsledků svých překladů jako vstupu pro další komponentu. Dále tato práce zkoumá jejich popisnou sílu a ekvivalenci systémů s různými počty komponent. Hlavním závěrem je pak porovnání popisné síly s Turingovými stroji a to s ohledem na jimi definovaný překlad i přijímané jazyky.This document defines systems of pushdown transducers. The idea of cooperating distributed grammar systems for components working on one word is adjusted for use of transducers instead of grammars. The transducers cooperate by passing output of one to input of another component. It discusses their descriptive power and equivalency between systems with arbitrary numbers of components. The main conclusion is then comparison of their descriptive power with Turing machines with regard to their translation and accepted languages.

Parsing Based on Regulated Automata

Tato práce se zabývá návrhem, aplikovatelností v praxi a implementací metody syntaktické analýzy založené na zásobníkových automatech, které regulují použití jejich pravidel řídícím lineárním jazykem. Tyto automaty mají větší sílu než běžný zásobníkový automat a jejich síla je rovna Turingovému stroji. Jsou schopné akceptovat rodinu rekurzivně vyčíslitelných jazyků.This work deals with the design, applicability and the implementation of parsing methods based on pushdown automata that regulate the use of their rules by linear control languages. These automata are more powerful than ordinary automata and they are as powerful as Turing machine. The pushdown automata regulated by linear control languages characterize the family of recursively enumerable languages.

Regulated Formal Models and Their Reduction

Department of Theoretical Computer Science and Mathematical LogicKatedra teoretické informatiky a matematické logikyFaculty of Mathematics and PhysicsMatematicko-fyzikální fakult

IOS Press One-Turn Regulated Pushdown Automata and Their Reduction

Abstract. This paper discusses some simple and natural restrictions of regulated pushdown automata. Most importantly, it studies one-turn regulated pushdown automata and proves that they characterize the family of recursively enumerable languages. In fact, this characterization holds even for atomic one-turn regulated pushdown automata of a reduced size. This result is established in terms of acceptance by final state and empty pushdown, acceptance by final state, and acceptance by empty pushdown