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Graphic equality

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A relation between two constructive objects (cf. Constructive object) which consists in the fact that the objects are constructed in the same way out of the same elementary tokens. Graphic equality of two words (cf. Word) means that the words are composed of the same letters in the same sequence. Graphic equality of words may more precisely be formulated as follows: a) the empty word is graphically equal to itself only; b) two non-empty words and (where and denote the last letters of these words) are graphically equal if and only if and are graphically equal and the letters and are identical. Graphic equality is usually denoted by the symbols

References

[1] A.A. Markov, "Theory of algorithms" , Israel Program Sci. Transl. (1961) (Translated from Russian) (Also: Trudy Mat. Inst. Steklov. 42 (1954))
[2] A.A. Markov, N.M. [N.M. Nagornyi] Nagorny, "The theory of algorithms" , Kluwer (1988) (Translated from Russian)
How to Cite This Entry:
Graphic equality. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Graphic_equality&oldid=14050
This article was adapted from an original article by N.M. Nagornyi (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article