Parsing for Semidirectional Lambek Grammar is NP-Complete

dc.creatorDoerre, Jochen
dc.date1996-05-10
dc.date.accessioned2026-07-07T09:10:16Z
dc.date.available2026-07-07T09:10:16Z
dc.descriptionWe study the computational complexity of the parsing problem of a variant of Lambek Categorial Grammar that we call {\em semidirectional}. In semidirectional Lambek calculus $\SDL$ there is an additional non-directional abstraction rule allowing the formula abstracted over to appear anywhere in the premise sequent's left-hand side, thus permitting non-peripheral extraction. $\SDL$ grammars are able to generate each context-free language and more than that. We show that the parsing problem for semidirectional Lambek Grammar is NP-complete by a reduction of the 3-Partition problem.
dc.description7 pages, LaTeX source (uses aclap.sty, tree-dvips.{sty,pro})
dc.identifierhttps://arxiv.org/abs/cmp-lg/9605016
dc.identifierhttp://arxiv.org/abs/cmp-lg/9605016
dc.identifierProceedings ACL '96 (Santa Cruz)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/151303
dc.subjectComputation and Language
dc.titleParsing for Semidirectional Lambek Grammar is NP-Complete
dc.typetext

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