Anil Nerode (born 1932) is an American mathematician known for his work in mathematical logic and for a tenure of many decades as a professor at Cornell University. He entered the University of Chicago at fifteen and took his Ph.D. there in 1956 under Saunders Mac Lane, with a thesis on an algebraic formulation of substitution in many-sorted free algebras and its link to the partial recursive functions. He worked at an air weapons research institute, spent 1958 to 1959 at the Institute for Advanced Study in Princeton working with Kurt Godel, and joined Cornell in 1959, later holding the Goldwin Smith chair of mathematics. His interests include mathematical logic, automata theory, computability and complexity theory, the calculus of variations and distributed systems. With John Myhill he proved the Myhill-Nerode theorem, which gives necessary and sufficient conditions for a formal language to be regular, and with Bakhadyr Khoussainov he founded the theory of automatic structures. He became a fellow of the American Mathematical Society in 2012, and Cornell recognised his sixtieth year as faculty in 2019 to 2020 as its longest tenure.
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Anil Nerode
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Source Anil Nerode (Wikipedia)
Source Anil Nerode (Wikipedia)
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Source Anil Nerode (Wikipedia)
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Source Myhill-Nerode theorem (Wikipedia)
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Source Anil Nerode (Wikipedia)LeadQuote, Lead
is an American mathematician
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1. Anil Nerode (Wikipedia)
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Anil Nerode (born 1932)
Education, pronoun
He enrolled in the Hutchins College at the University of Chicago in 1947
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is an American mathematician
In Branch: Logic and Foundations, Lead, mathematical logic
known for his work in mathematical logic
In Branch: Computability Theory, Career, research interests
mathematical logic, the theory of automata, computability and complexity theory
Mentored By: Saunders Mac Lane, Education, Ph.D.
the latter under the directions of Saunders Mac Lane
Principal Result: Myhill-Nerode Theorem, Career, Myhill-Nerode theorem
With John Myhill, Nerode proved the Myhill-Nerode theorem
View the SourceMyhill-Nerode theorem (Wikipedia)
Proofs Credited: Myhill-Nerode Theorem, Lead sentenceQuote, Proofs Credited: Myhill-Nerode Theorem, Lead sentence
The theorem is named for John Myhill and Anil Nerode, who proved it at the University of Chicago in 1957..
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