Thue Specifications and Their Monadic Second-order Properties

Article type: Research Article

Authors: Knapik, Teodor | Calbrix, Hugues

Affiliations: IREMIA, Universit de la Reunion, BP 7151, 97715 Saint Denis Messageries Cedex 9, Reunion. e-mail: knapikuniv-reunion.fr | College Jean Lecanuet, BP 1024, 76171 Rouen Cedex, France

Note: [] Address for correspondence: IREMIA, Université de la Reunion, BP 7151, 97715 Saint Denis Messageries Cedex 9, Reunion

Note: [] Address for correspondence: College Jean Lecanuet, BP 1024, 76171 Rouen, Cedex, France

Abstract: This paper introduces oriented Thue specifications and their models which are simple directed edge-labeled graphs. The monadic second-order theory of these models is investigated and shown decidable for the class of suffix-bounded rational oriented Thue specifications. In addition, a characterization of prefix-closed context-free languages is given in terms of oriented Thue specifications.

Keywords: string-rewriting, infinite graphs, automata, monadic second-order logic

DOI: 10.3233/FI-1999-39305

Journal: Fundamenta Informaticae, vol. 39, no. 3, pp. 305-325, 1999