WordofTheDay.US

Syntactic monoid

Smallest monoid that recognizes a formal language

In mathematics and computer science, the syntactic monoid

M

(

L

)

{\displaystyle M(L)}

of a formal language

L

{\displaystyle L}

is the minimal monoid that recognizes the language

L

{\displaystyle L}

. By the Myhill–Nerode theorem, the syntactic monoid is unique up to unique isomorphism.

From Wikipedia (CC BY-SA). Not a dictionary word, so it lives in Other Names.