Alonzo Church
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Alonzo Church

Alonzo Church (June 14, 1903 - August 11, 1995) was an American mathematician and logician who made major contributions to mathematical logic and the foundations of theoretical computer science. He is best known for the lambda calculus, Church-Turing thesis, proving the undecidability of the Entscheidungsproblem, Frege-Church ontology, and the Church-Rosser theorem. He also worked on philosophy of language (see e.g. Church 1970).


Alonzo Church was born on June 14, 1903, in Washington, D.C., where his father, Samuel Robbins Church, was the judge of the Municipal Court for the District of Columbia. The family later moved to Virginia after his father lost this position because of failing eyesight. With help from his uncle, also named Alonzo Church, he was able to attend the Ridgefield School for Boys in Ridgefield, Connecticut.[1] After graduating from Ridgefield in 1920, Church attended Princeton University where he was an exceptional student, publishing his first paper, on Lorentz transformations, and graduating in 1924 with a degree in mathematics. He stayed at Princeton, earning a Ph.D. in mathematics in three years under Oswald Veblen.

He married Mary Julia Kuczinski in 1925 and the couple had three children, Alonzo Church, Jr. (1929), Mary Ann (1933) and Mildred (1938).

After receiving his Ph.D. he taught briefly as an instructor at the University of Chicago and then received a two-year National Research Fellowship. This allowed him to attend Harvard University in 1927-1928 and then both University of Göttingen and University of Amsterdam the following year. He taught philosophy and mathematics at Princeton, 1929-1967, and at the University of California, Los Angeles, 1967-1990. He was a Plenary Speaker at the ICM in 1962 in Stockholm.[2] He received honorary Doctor of Science degrees from Case Western Reserve University in 1969,[3]Princeton University in 1985,[4] and the University at Buffalo, The State University of New York in 1990 in connection with an international symposium in his honor organized by John Corcoran.[5]

A deeply religious person, he was a lifelong member of the Presbyterian church.[6]

He died in 1995 and was buried in Princeton Cemetery.[7]

Mathematical work

Church is known for the following accomplishments:

The lambda calculus emerged in his 1936 paper showing the unsolvability of the Entscheidungsproblem. This result preceded Alan Turing's work on the halting problem, which also demonstrated the existence of a problem unsolvable by mechanical means. Church and Turing then showed that the lambda calculus and the Turing machine used in Turing's halting problem were equivalent in capabilities, and subsequently demonstrated a variety of alternative "mechanical processes for computation." This resulted in the Church-Turing thesis.

The efforts for automatically generating a controller implementation from specifications originates from his ideas.[9]

The lambda calculus influenced the design of the LISP programming language and functional programming languages in general. The Church encoding is named in his honor.

Philosophical work

Church's elaboration of a methodology involving the logistic method, his philosophical criticisms of nominalism and his defense of realism, his argumentation leading to conclusions about the theory of meaning, and the detailed construction of the Fregean and Russellian intensional logics, are more than sufficient to place him high up among the most important philosophers of this century.


Many of Church's doctoral students have led distinguished careers, including C. Anthony Anderson, Peter B. Andrews, George A. Barnard, David Berlinski, William W. Boone, Martin Davis, Alfred L. Foster, Leon Henkin, John G. Kemeny, Stephen C. Kleene, Simon B. Kochen, Maurice L'Abbé, Isaac Malitz, Gary R. Mar, Michael O. Rabin, Nicholas Rescher, Hartley Rogers, Jr., J. Barkley Rosser, Dana Scott, Raymond Smullyan, and Alan Turing.[11] A more complete list of Church's students is available via Mathematics Genealogy Project.


See also


  1. ^ The Ridgefield School for Boys, also known as the Ridgefield School, was a private school that existed from 1907 to 1938. See The Ridgefield School.
  2. ^ Church, Alonzo. "Logic, arithmetic and automata." In Proceedings of the International Congress of Mathematicians, pp. 23-35. 1962.
  3. ^ Honorary degrees awarded by Case Western Reserve University
  4. ^ Honorary degrees awarded by Princeton University Archived 2016-02-07 at the Wayback Machine.
  5. ^ Finding Aid for The Honorary Degree Conferral of Doctor of Science to Alonzo Church, 1990
  6. ^ "Introduction Alonzo Church: Life and Work" (PDF). p. 4. Archived from the original (PDF) on 1 September 2012. Retrieved 2012. A deeply religious person, he was a lifelong member of the Presbyterian church. 
  7. ^ Alonzo Church at Find a Grave
  8. ^ Church, A. (1936). "An unsolvable problem of elementary number theory". American Journal of Mathematics. 58 (2): 345-363. doi:10.2307/2371045. JSTOR 2371045. 
  9. ^ Just Formal Enough? Automated Analysis of EARS Requirements
  10. ^ (Anderson 1998)
  11. ^ "Mathematics Genealogy Project". Archived from the original on 4 August 2010. Retrieved 2010. 
  12. ^ Henkin, Leon (1957). "Review: Introduction to Mathematical Logic by Alonzo Church" (PDF). Bull. Amer. Math. Soc. 63 (5): 320-323. doi:10.1090/s0002-9904-1957-10129-3. 
  13. ^ Frink Jr., Orrin (1944). "Review: The Calculi of Lambda-Conversion by Alonzo Church" (PDF). Bull. Amer. Math. Soc. 50 (3): 169-172. doi:10.1090/s0002-9904-1944-08090-7. 


External links

  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.



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