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On the Complexity of the Universality and Inclusion Problems for Unambiguous Context-Free Grammars
cris.lastimport.scopus | 2024-02-12T19:38:46Z |
dc.abstract.en | We study the computational complexity of universality and inclusion problems for unambiguous finite automata and context-free grammars. We observe that several such problems can be reduced to the universality problem for unambiguous context-free grammars. The latter problem has long been known to be decidable and we propose a PSPACE algorithm that works by reduction to the zeroness problem of recurrence equations with convolution. We are not aware of any non-trivial complexity lower bounds. However, we show that computing the coin-flip measure of an unambiguous context-free language, a quantitative generalisation of universality, is hard for the long-standing open problem SQRTSUM. |
dc.affiliation | Uniwersytet Warszawski |
dc.contributor.author | Clemente, Lorenzo |
dc.date.accessioned | 2024-01-25T15:46:04Z |
dc.date.available | 2024-01-25T15:46:04Z |
dc.date.issued | 2020 |
dc.description.finance | Publikacja bezkosztowa |
dc.description.volume | 320 |
dc.identifier.doi | 10.4204/EPTCS.320.2 |
dc.identifier.issn | 2075-2180 |
dc.identifier.uri | https://repozytorium.uw.edu.pl//handle/item/114788 |
dc.identifier.weblink | http://dx.doi.org/10.4204/eptcs.320.2 |
dc.language | eng |
dc.pbn.affiliation | computer and information sciences |
dc.relation.ispartof | Electronic Proceedings in Theoretical Computer Science |
dc.relation.pages | 29-43 |
dc.rights | ClosedAccess |
dc.sciencecloud | nosend |
dc.title | On the Complexity of the Universality and Inclusion Problems for Unambiguous Context-Free Grammars |
dc.type | JournalArticle |
dspace.entity.type | Publication |