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Mathematical picture language program [PDF]
Proceedings of the National Academy of Sciences of the United States of America, 2018 Significance We reevaluate ways that one can use pictures, not only to gain mathematical insights, but also to prove mathematical theorems. As an example, we describe ways that the quon language, invented to study quantum information, sheds light on several other areas of mathematics.
Zhengwei Liu
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ON RECOGNIZABLE LANGUAGES OF INFINITE PICTURES [PDF]
International Journal of Foundations of Computer Science, 2004 In a recent paper, Altenbernd, Thomas and Wöhrle have considered acceptance of languages of infinite two-dimensional words (infinite pictures) by finite tiling systems, with the usual acceptance conditions, such as the Büchi and Muller ones, firstly used for infinite words. The authors asked for comparing the tiling system acceptance with an acceptance
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Learning language through pictures [PDF]
Proceedings of the 53rd Annual Meeting of the Association for Computational Linguistics and the 7th International Joint Conference on Natural Language Processing (Volume 2: Short Papers), 2015 To appear at ACL ...
Grzegorz Chrupala +2 more
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Leftmove-bounded picture languages
Theoretical Computer Science, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changwook Kim, Ivan Hal Sudborough
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On reversal-bounded picture languages
Theoretical Computer Science, 1992 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changwook Kim, Ivan Hal Sudborough
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Using string languages to describe picture languages
Information and Control, 1982 A picture is a set of unit lines from the Cartesian plane considered as a square grid. A word over the alphabet l, r, u, d is a picture description in the sense that it represents a traversal of a picture where the interpretation of the symbols l, r, u, d, is:lgo one unit line to the left of the current pointrgo one unit line to the right of the ...
Hermann A. Maurer +2 more
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Tile rewriting grammars and picture languages
Theoretical Computer Science, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stefano Crespi-Reghizzi, Matteo Pradella
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On regular drawn symbolic picture languages
Information and Computation, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
COSTAGLIOLA, Gennaro +3 more
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Context-Sensitive String Languages and Recognizable Picture Languages
Information and Computation, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Latteux, David Simplot
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Retreat bounded picture languages
Theoretical Computer Science, 1994 AbstractA well-known string-encoding of 2D pictures is to use the picture alphabet π = {u, d, r, l}, where u (d, r, and l) means “draw a unit-line by moving the pen up (down, right, and left) from the current point”. A word over π is k-retreat-bounded (k⩾0) if it describes a picture in such a manner that the maximum distance of left-moves, ignoring up-
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