Büchi-Elgot-Trakhtenbrot theorem
id:
b-chi-elgot-trakhtenbrot-theorem-175-5729097
title:
Büchi-Elgot-Trakhtenbrot theorem
text:
In formal language theory, the Büchi–Elgot–Trakhtenbrot theorem states that a language is regular if and only if it can be defined in monadic second-order logic (MSO): for every MSO formula, we can find a finite-state automaton defining the same language, and for every finite-state automaton, we can find an MSO formula defining the same language. The theorem is due to Julius Richard Büchi, Calvin Elgot, and Boris Trakhtenbrot.
brand slug:
wiki
category slug:
encyclopedia
description:
Formal language theorem
original url:
https://en.wikipedia.org/wiki/B%C3%BCchi-Elgot-Trakhtenbrot_theorem
date created:
2021-07-15T10:02:03Z
date modified:
2024-09-03T14:38:06Z
main entity:
{"identifier":"Q107709489","url":"https://www.wikidata.org/entity/Q107709489"}
image:
fields total:
13
integrity:
15