Classes of two-dimensional languages and recognizability conditions

Marcella Anselmo; Maria Madonia

RAIRO - Theoretical Informatics and Applications (2011)

  • Volume: 44, Issue: 4, page 471-488
  • ISSN: 0988-3754

Abstract

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The paper deals with some classes of two-dimensional recognizable languages of “high complexity”, in a sense specified in the paper and motivated by some necessary conditions holding for recognizable and unambiguous languages. For such classes we can solve some open questions related to unambiguity, finite ambiguity and complementation. Then we reformulate a necessary condition for recognizability stated by Matz, introducing a new complexity function. We solve an open question proposed by Matz, showing that all the known necessary conditions for recognizability of a language and its complement are not sufficient. The proof relies on a family of languages defined by functions.

How to cite

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Anselmo, Marcella, and Madonia, Maria. "Classes of two-dimensional languages and recognizability conditions." RAIRO - Theoretical Informatics and Applications 44.4 (2011): 471-488. <http://eudml.org/doc/193071>.

@article{Anselmo2011,
abstract = { The paper deals with some classes of two-dimensional recognizable languages of “high complexity”, in a sense specified in the paper and motivated by some necessary conditions holding for recognizable and unambiguous languages. For such classes we can solve some open questions related to unambiguity, finite ambiguity and complementation. Then we reformulate a necessary condition for recognizability stated by Matz, introducing a new complexity function. We solve an open question proposed by Matz, showing that all the known necessary conditions for recognizability of a language and its complement are not sufficient. The proof relies on a family of languages defined by functions. },
author = {Anselmo, Marcella, Madonia, Maria},
journal = {RAIRO - Theoretical Informatics and Applications},
keywords = {Two-dimensional languages; unambiguity; complement; two-dimensional languages; unambiguity},
language = {eng},
month = {2},
number = {4},
pages = {471-488},
publisher = {EDP Sciences},
title = {Classes of two-dimensional languages and recognizability conditions},
url = {http://eudml.org/doc/193071},
volume = {44},
year = {2011},
}

TY - JOUR
AU - Anselmo, Marcella
AU - Madonia, Maria
TI - Classes of two-dimensional languages and recognizability conditions
JO - RAIRO - Theoretical Informatics and Applications
DA - 2011/2//
PB - EDP Sciences
VL - 44
IS - 4
SP - 471
EP - 488
AB - The paper deals with some classes of two-dimensional recognizable languages of “high complexity”, in a sense specified in the paper and motivated by some necessary conditions holding for recognizable and unambiguous languages. For such classes we can solve some open questions related to unambiguity, finite ambiguity and complementation. Then we reformulate a necessary condition for recognizability stated by Matz, introducing a new complexity function. We solve an open question proposed by Matz, showing that all the known necessary conditions for recognizability of a language and its complement are not sufficient. The proof relies on a family of languages defined by functions.
LA - eng
KW - Two-dimensional languages; unambiguity; complement; two-dimensional languages; unambiguity
UR - http://eudml.org/doc/193071
ER -

References

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