
Summary: We consider a representation of the structure of derivations in Ajdukiewicz and Lambek categorial grammars called derived trees. We define derived tree languages of those grammars based on syntactic calculi formalized in Gentzen style and in natural deduction format and examine their relation to the families of local and regular tree languages.
Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), Grammars and rewriting systems, derived trees, Ajdukiewicz grammar, Formal languages and automata, categorial grammars, Lambek grammar, regular tree languages
Substructural logics (including relevance, entailment, linear logic, Lambek calculus, BCK and BCI logics), Grammars and rewriting systems, derived trees, Ajdukiewicz grammar, Formal languages and automata, categorial grammars, Lambek grammar, regular tree languages
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