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Stephen Cole Kleene
Early Electronicmathematicstheory of computation

Stephen Cole Kleene

Stephen Cole Kleene was an American mathematician and logician

1909 – 1994U.S.AContribution: 1936

Introduction

Stephen Cole Kleene (1909-1994) was an American mathematician and logician. He made significant contributions to the field of mathematical logic, particularly in the areas of recursion theory and computability. Kleene developed the concept of regular expressions and formalized the notion of recursive functions. His work played a crucial role in the development of theoretical computer science and laid the foundations for modern computability theory. Kleene's research and writings continue to be influential in the field to this day.

Key Achievement

Pioneered work with Alonzo Church on the Lambda Calculus that first laid down the foundations of computation theory.

Biography

Stephen Cole Kleene was an American mathematician and logician. One of the students of Alonzo Church, Kleene, along with Rózsa Péter, Alan Turing, Emil Post, and others, is best known as a founder of the branch of mathematical logic known as recursion theory, which subsequently helped to provide the foundations of theoretical computer science. Kleene's work grounds the study of computable functions. A number of mathematical concepts are named after him: Kleene hierarchy, Kleene algebra, the Kleene star, Kleene's recursion theorem and the Kleene fixed-point theorem. He also invented regular expressions in 1951 to describe McCulloch-Pitts neural networks, and made significant contributions to the foundations of mathematical intuitionism.

Notable Works

The foundations of intuitionistic mathematics

Other

1965

Kleene's algorithm

Other

Kleene's recursion theorem

Other

lambda calculus

Other

Kleene algebra

Other

Kleene fixed-point theorem

Other

Church–Kleene ordinal

Other

Kleene–Brouwer order

Other

Kleene–Rosser paradox

Other

Kleene's O

Other

Kleene's T predicate

Other

Kleene star

Other

Kleene's theorem

Other

Did You Know?

  • He also invented regular expressions in 1951 to describe McCulloch-Pitts neural networks, and made significant contributions to the foundations of mathematical intuitionism.

Awards

Guggenheim Fellowship1949
Leroy P. Steele Prize1983
National Medal of Science1990

Institutions

United States Navy

1942–1946

University of Wisconsin–Madison

1935–1941

Princeton University

1934–1935

Amherst College

1941–1942

Education

Amherst College

1930

Princeton University

doctorate

1934