Skip to main content
Article thumbnail
Location of Repository

Linguistics, Logic and Finite Trees

By Wilfried Meyer-Viol and Patrick Blackburn


A modal logic is developed to deal with finite ordered binary trees as they are used in (computational) linguistics. A modal language is introduced with operators for the `mother of', `first daughter of' and `second daughter of' relations together with their transitive reflexive closures. The relevant class of tree models is defined and three linguistic applications of this language are discussed: context free grammars, command relations, and trees decorated with feature structures. An axiomatic proof system is given for which completeness is shown with respect to the class of finite ordered binary trees. A number of decidability results follow.Articl

Topics: PHI
Year: 1994
OAI identifier:
Provided by: SAS-SPACE

Suggested articles

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.