Mixed computation: grammar up and down the Chomsky hierarchy

Proof-theoretic models of grammar are based on the view that an explicit characterization of a language comes in the form of the recursive enumeration of strings in that language. That recursive enumeration is carried out by a procedure which strongly generates a set of structural descriptions Σ and...

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Main Author: Krivochen, DG
Format: Journal article
Language:English
Published: John Benjamins Publishing Company 2021
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author Krivochen, DG
author_facet Krivochen, DG
author_sort Krivochen, DG
collection OXFORD
description Proof-theoretic models of grammar are based on the view that an explicit characterization of a language comes in the form of the recursive enumeration of strings in that language. That recursive enumeration is carried out by a procedure which strongly generates a set of structural descriptions Σ and weakly generates a set of strings S; a grammar is thus a function that pairs an element of Σ with elements of S. Structural descriptions are obtained by means of Context-Free phrase structure rules or via recursive combinatorics and structure is assumed to be uniform: binary branching trees all the way down. In this work we will analyse natural language constructions for which such a rigid conception of phrase structure is descriptively inadequate and propose a solution for the problem of phrase structure grammars assigning too much or too little structure to natural language strings: we propose that the grammar can oscillate between levels of computational complexity in local domains, which correspond to elementary trees in a lexicalised Tree Adjoining Grammar.
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spelling oxford-uuid:9778cf3b-c73f-46fb-a6ef-428ff9736ef22022-03-26T23:59:49ZMixed computation: grammar up and down the Chomsky hierarchyJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:9778cf3b-c73f-46fb-a6ef-428ff9736ef2EnglishSymplectic ElementsJohn Benjamins Publishing Company2021Krivochen, DGProof-theoretic models of grammar are based on the view that an explicit characterization of a language comes in the form of the recursive enumeration of strings in that language. That recursive enumeration is carried out by a procedure which strongly generates a set of structural descriptions Σ and weakly generates a set of strings S; a grammar is thus a function that pairs an element of Σ with elements of S. Structural descriptions are obtained by means of Context-Free phrase structure rules or via recursive combinatorics and structure is assumed to be uniform: binary branching trees all the way down. In this work we will analyse natural language constructions for which such a rigid conception of phrase structure is descriptively inadequate and propose a solution for the problem of phrase structure grammars assigning too much or too little structure to natural language strings: we propose that the grammar can oscillate between levels of computational complexity in local domains, which correspond to elementary trees in a lexicalised Tree Adjoining Grammar.
spellingShingle Krivochen, DG
Mixed computation: grammar up and down the Chomsky hierarchy
title Mixed computation: grammar up and down the Chomsky hierarchy
title_full Mixed computation: grammar up and down the Chomsky hierarchy
title_fullStr Mixed computation: grammar up and down the Chomsky hierarchy
title_full_unstemmed Mixed computation: grammar up and down the Chomsky hierarchy
title_short Mixed computation: grammar up and down the Chomsky hierarchy
title_sort mixed computation grammar up and down the chomsky hierarchy
work_keys_str_mv AT krivochendg mixedcomputationgrammarupanddownthechomskyhierarchy