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Right quotient : ウィキペディア英語版
Right quotient

The right quotient (or simply quotient) of a formal language L_1 with a formal language L_2 is the language consisting of strings ''w'' such that ''wx'' is in L_1 for some string ''x'' in L_2. In symbols, we write:
:L_1 / L_2 = \
In other words, each string in L_1 / L_2 is the prefix of a string wx in L_1, with the remainder of the word being a string in L_2.
==Example==
Consider
L_1 = \
and
L_2 = \.
Now, if we insert a divider into the middle of an element of L_1, the part on the right is in L_2 only if the divider is placed adjacent to a ''b'' (in which case ''i'' ≤ ''n'' and ''j'' = ''n'') or adjacent to a ''c'' (in which case ''i'' = 0 and ''j'' ≤ ''n''). The part on the left, therefore, will be either a^n b^ or a^n b^n c^; and L_1 / L_2 can be written as
\.


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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