On the Order Type of Scattered Context-Free Orderings

We show that if a context-free grammar generates a language whose lexicographic ordering is well-ordered of type less than ω^2, then its order type is effectively computable.

Bibliographic Details
Main Authors: Kitti Gelle, Szabolcs Iván
Format: Article
Language:English
Published: Open Publishing Association 2019-09-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1909.08543v1
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author Kitti Gelle
Szabolcs Iván
author_facet Kitti Gelle
Szabolcs Iván
author_sort Kitti Gelle
collection DOAJ
description We show that if a context-free grammar generates a language whose lexicographic ordering is well-ordered of type less than ω^2, then its order type is effectively computable.
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spelling doaj.art-74dc4199d5784bd089573308735705342022-12-21T19:18:14ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802019-09-01305Proc. GandALF 201916918210.4204/EPTCS.305.12:13On the Order Type of Scattered Context-Free OrderingsKitti Gelle0Szabolcs Iván1 University of Szeged, Hungary University of Szeged, Hungary We show that if a context-free grammar generates a language whose lexicographic ordering is well-ordered of type less than ω^2, then its order type is effectively computable.http://arxiv.org/pdf/1909.08543v1
spellingShingle Kitti Gelle
Szabolcs Iván
On the Order Type of Scattered Context-Free Orderings
Electronic Proceedings in Theoretical Computer Science
title On the Order Type of Scattered Context-Free Orderings
title_full On the Order Type of Scattered Context-Free Orderings
title_fullStr On the Order Type of Scattered Context-Free Orderings
title_full_unstemmed On the Order Type of Scattered Context-Free Orderings
title_short On the Order Type of Scattered Context-Free Orderings
title_sort on the order type of scattered context free orderings
url http://arxiv.org/pdf/1909.08543v1
work_keys_str_mv AT kittigelle ontheordertypeofscatteredcontextfreeorderings
AT szabolcsivan ontheordertypeofscatteredcontextfreeorderings