_{L}} is an equivalence relation on strings, and thus it divides the set of all strings into equivalence classes. The Myhill–Nerode theorem states that a...

Anil Nerode (born 1932) is an American mathematician, known for his work in mathematical logic and for his many-decades tenure as a professor at Cornell...

was first proved by Anil Nerode (Nerode 1958) and the relation S ∼ {\displaystyle {}_{S}{\sim }} is thus referred to as Nerode congruence by some authors...

defined by u ≡L v if C[u] ∈ L ⇔ C[v] ∈ L for each context C. The Myhill–Nerode theorem for tree automata states that the following three statements are...

difficulty and undecidability of arithmetic theories: an exposition". In A. Nerode and R. Shore (ed.). Recursion Theory, American Mathematical Society. pp...

117–148. doi:10.1007/s10992-020-09564-7. ISSN 1573-0433. Metakides, G.; Nerode, A. (1996-06-13). Principles of Logic and Logic Programming. Elsevier. p...

basic set theory. The study of linear bounded automata led to the Myhill–Nerode theorem, which gives a necessary and sufficient condition for a formal language...

regular. To prove that a language is not regular, one often uses the Myhill–Nerode theorem and the pumping lemma. Other approaches include using the closure...

peer-reviewed journals, including V.S. Harizanov, "Some effects of Ash-Nerode and other decidability conditions on degree spectra " Annals of Pure and...

a superset of the given automaton; in some cases, handled by the Myhill–Nerode theorem, both languages are equal. A (nondeterministic) finite automaton...