Contexts on trajectories

We introduce and investigate a new way of generating mildly context-sensitive languages. The main idea is that the contexts are adjoined by shuffling them on certain trajectories. In this way we obtain also a very general class of contextual grammars such that most of the fundamental classes of contextual gram-mars, for instance, internal contextual grammars, external contextual grammarsn-contextual grammars, are particular cases of contextual grammars with contexts shuffled on trajectories. The approach is very flexible, able to model various aspects from linguistics.

[1]  Manfred Kudlek,et al.  Contextual Grammars with Distributed Catenation and Shuffle , 1997, FCT.

[2]  Arto Salomaa,et al.  Semirings, Automata, Languages , 1985, EATCS Monographs on Theoretical Computer Science.

[3]  Gheorghe Paun,et al.  Marcus Contextual Grammars , 1994, Bull. EATCS.

[4]  Gheorghe Paun,et al.  Contextual Grammars and Formal Languages , 1997, Handbook of Formal Languages.

[5]  Solomon Marcus,et al.  Algebraic Linguistics Analytical Models , 1967 .

[6]  Manfred Kudlek,et al.  An infinite hierarchy of mildly context-sensitive families of languages , 1998 .

[7]  Grzegorz Rozenberg,et al.  Shuue on Trajectories: Syntactic Constraints , 1998 .

[8]  Oscar H. Ibarra,et al.  Simple Matrix Languages , 1970, Inf. Control..

[9]  Grzegorz Rozenberg,et al.  Shuffle on Trajectories: Syntactic Constraints , 1998, Theor. Comput. Sci..

[10]  Seymour Ginsburg,et al.  The mathematical theory of context free languages , 1966 .

[11]  Aravind K. Joshi,et al.  Natural language parsing: Tree adjoining grammars: How much context-sensitivity is required to provide reasonable structural descriptions? , 1985 .

[12]  Graham Higman,et al.  Ordering by Divisibility in Abstract Algebras , 1952 .

[13]  Alexandru Mateescu,et al.  Quasi shuffle Marcus grammars , 1996 .

[14]  L. H. Haines On free monoids partially ordered by embedding , 1969 .

[15]  Danny Raz Length Considerations in Context-Free Languages , 1997, Theor. Comput. Sci..

[16]  Solomon Marcus,et al.  Contextual Grammars and Natural Languages , 1997, Handbook of Formal Languages.

[17]  Peter C. Chapin Formal languages I , 1973, CSC '73.

[18]  Solomon Marcus,et al.  Contextual Grammars , 1969, COLING.

[19]  Aravind K. Joshi,et al.  Tree-Adjoining Grammars , 1997, Handbook of Formal Languages.