About: Quotient of a formal language

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In mathematics and computer science, the right quotient (or simply quotient) of a language with respect to language is the language consisting of strings w such that wx is in for some string x in . Formally: In other words, we take all the strings in that have a suffix in , and remove this suffix. Similarly, the left quotient of with respect to is the language consisting of strings w such that xw is in for some string x in . Formally: In other words, we take all the strings in that have a prefix in , and remove this prefix.

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  • In mathematics and computer science, the right quotient (or simply quotient) of a language with respect to language is the language consisting of strings w such that wx is in for some string x in . Formally: In other words, we take all the strings in that have a suffix in , and remove this suffix. Similarly, the left quotient of with respect to is the language consisting of strings w such that xw is in for some string x in . Formally: In other words, we take all the strings in that have a prefix in , and remove this prefix. Note that the operands of are in reverse order: the first operand is and is second. (en)
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  • In mathematics and computer science, the right quotient (or simply quotient) of a language with respect to language is the language consisting of strings w such that wx is in for some string x in . Formally: In other words, we take all the strings in that have a suffix in , and remove this suffix. Similarly, the left quotient of with respect to is the language consisting of strings w such that xw is in for some string x in . Formally: In other words, we take all the strings in that have a prefix in , and remove this prefix. (en)
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  • Quotient of a formal language (en)
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