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2. Zero (linguistics) - Wikipedia

   en.wikipedia.org/wiki/Zero_(linguistics)

   It is a useful concept in analysis, indicating lack of an element where one might be expected. It is usually written with the symbol "∅", in Unicode U+2205 ∅ EMPTY SET (∅, ∅, ∅, ∅). A common ad hoc solution is to use the Scandinavian capital letter Ø instead. There are several kinds of zero:

3. Empty set - Wikipedia

   en.wikipedia.org/wiki/Empty_set

   The only subset of the empty set is the empty set itself; equivalently, the power set of the empty set is the set containing only the empty set. The number of elements of the empty set (i.e., its cardinality) is zero. The empty set is the only set with either of these properties. For any set A: The empty set is a subset of A

4. Null sign - Wikipedia

   en.wikipedia.org/wiki/Null_sign

   Common notations for the empty set include "{}", "∅", and "". The latter two symbols were introduced by the Bourbaki group (specifically André Weil) in 1939, inspired by the letter Ø in the Danish and Norwegian alphabets (and not related in any way to the Greek letter Φ). [2] Empty sets are used in set operations. For example: = {,,,,}

5. Null morpheme - Wikipedia

   en.wikipedia.org/wiki/Null_morpheme

   The null morpheme is represented as either the figure zero (0) or the empty set symbol ∅. In most languages, it is the affixes that are realized as null morphemes, indicating that the derived form does not differ from the stem. For example, plural form sheep can be analyzed as combination of sheep with added null

6. Context-free grammar - Wikipedia

   en.wikipedia.org/wiki/Context-free_grammar

   The simplest example: S → aSb S → ab. This grammar generates the language {:}, which is not regular (according to the pumping lemma for regular languages). The special character ε stands for the empty string. By changing the above grammar to S → aSb S → ε

7. Terminal and nonterminal symbols - Wikipedia

   en.wikipedia.org/wiki/Terminal_and_nonterminal...

   A formal language defined or generated by a particular grammar is the set of strings that can be produced by the grammar and that consist only of terminal symbols. Diagram 1 illustrates a string that can be produced with this grammar. Diagram 1. The string Б Б Б Б was formed by the grammar defined by the given production rules. This grammar ...

8. Chomsky normal form - Wikipedia

   en.wikipedia.org/wiki/Chomsky_normal_form

   Abstract syntax tree of the arithmetic expression "a^2+4*b" wrt. the example grammar (top) and its Chomsky normal form (bottom) The following grammar, with start symbol Expr , describes a simplified version of the set of all syntactical valid arithmetic expressions in programming languages like C or Algol60 .

9. Alphabet (formal languages) - Wikipedia

   en.wikipedia.org/wiki/Alphabet_(formal_languages)

   Strings, also known as "words" or "sentences", over an alphabet are defined as a sequence of the symbols from the alphabet set. [4] For example, the alphabet of lowercase letters "a" through "z" can be used to form English words like "iceberg" while the alphabet of both upper and lower case letters can also be used to form proper names like ...