Langages algébriques de mots biinfinis
نویسندگان
چکیده
Les langages rationnels de mots biinfinis ont CtC rkemment dCfinis et CtudiCs dans divers articles [2,3, lo]; ce sont les langages de mots biinfinis qui appartiennent 5 la fermeture rationnelle biinfinie des langages rationnels de mots finis (c’est B dire qui sont union finie de langages de la forme “ABC” oh A, B, C sont des langages rationnels de mots finis). Nous nous proposons dans ce papier, de dtfinir la notion d’algCbricitC pour les langages de mots biinfinis. Nous allons &re amen& $ dCfinir diffkentes classes de langages, incluses les unes dans les autres, et dont la plus grande est en bijection naturelle avec l’ensemble des relations infinitaires qui sont l’image par une substitution algCbrique finitaire de relations rationnelles infinitaires. La notion d’algCbricit6 pour les langages de mots infinis a 6tt dtfinie en utilisant trois approches differentes; trois familles de langages de mots infinis ont alors &t dCgag6es Z,,, We,, E2 formant une hikrarchie stricte:
منابع مشابه
Des grammaires de graphes contextuelles qui charactérisent les langages contextuels
Deterministic graph grammars generate a family of infinite graphs which characterize context-free (word) languages. In this paper we presents a context-sensitive extension of these grammars. We achieve a characterization of context-sensitive (word) languages. We show that this characterization is not straightforward and that unless having some rigorous restrictions, contextual graph grammars ge...
متن کاملLangages Algébriques et Systèmes de Réécriture Rationells
— In this paper, a new methodfor generating languages is introduced. It consists of the définition ofafinite number ofrules ofthe type: fug may be replacedby fvg iffbelongs to a given regular language. It is proved that any de terminis tic language which is prefix can be generated starting from finite sets anditerating such rules. Conversely under suitable hypotheses on the R(u, v) the language...
متن کاملOn Rational Graphs
Using rationality, like in language theory, we de ne a family of in nite graphs. This family is a strict extension of the context-free graphs of Muller and Schupp, the equational graphs of Courcelle and the pre x recognizable graphs of Caucal. We give basic properties, as well as an internal and an external characterization of these graphs. We also show that their traces form an AFL of recursiv...
متن کاملAn overview of CADP 2001
Cadp is a toolbox for specifying and verifying asynchronous finite-state systems described using process algebraic languages. It offers a wide range of state-of-the-art functionalities assisting the user throughout the design process: compilation, rapid prototyping, interactive and guided simulation, verification by equivalence/preorder checking and temporal logic model-checking, and test gener...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Theor. Comput. Sci.
دوره 86 شماره
صفحات -
تاریخ انتشار 1991