BCK-combinators and linear &lgr;-terms have types
Theoretical Computer Science
On multiple context-free grammars
Theoretical Computer Science
Basic simple type theory
Handbook of formal languages, vol. 3
Handbook of formal languages, vol. 3
Indexed Grammars—An Extension of Context-Free Grammars
Journal of the ACM (JACM)
Characterizing mildly context-sensitive grammar formalisms
Characterizing mildly context-sensitive grammar formalisms
LICS '04 Proceedings of the 19th Annual IEEE Symposium on Logic in Computer Science
On the Expressive Power of Abstract Categorial Grammars: Representing Context-Free Formalisms
Journal of Logic, Language and Information
Towards abstract categorial grammars
ACL '01 Proceedings of the 39th Annual Meeting on Association for Computational Linguistics
The complexity and generative capacity of lexicalized abstract categorial grammars
LACL'05 Proceedings of the 5th international conference on Logical Aspects of Computational Linguistics
On the Membership Problem for Non-Linear Abstract Categorial Grammars
Journal of Logic, Language and Information
Second-Order Abstract Categorial Grammars as Hyperedge Replacement Grammars
Journal of Logic, Language and Information
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We show that the class of string languages generated by abstract categorial grammars is a substitution-closed full AFL. The result also holds of each class G(m,n) in de Groote's hierarchy. We also show that the class of string languages generated by lexicalized ACGs is a substitution-closed AFL, and that most of the results about string languages carry over to tree languages.