# 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

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topAnselmo, 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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