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A list (finite set) of letters (cf. Letter). An alphabet usually contains the letters which are required to develop a certain system of symbols or, as is sometimes said, a language. For two alphabets and , their union , their intersection , their difference , as well as the inclusion relation are defined in the obvious manner. For convenience, the concept of an empty alphabet, i.e. an alphabet without any letters, may also be considered.

How to Cite This Entry:
Alphabet. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by N.M. Nagornyi (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article