> For the complete documentation index, see [llms.txt](https://mandober.gitbook.io/math-debrief/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://mandober.gitbook.io/math-debrief/340-lambda-calculi/lambda-calculus/alonzo-church.md).

# Alonzo Church

**Alonzo Church** (1903-1995) was an American logician and mathematician who made major contributions to mathematical logic and the foundations of theoretical computer science. He is best known for *Lambda Calculus*, *Frege-Church ontology*, *Church-Rosser theorem*, and *proving the undecidability of the Entscheidungsproblem* in 1936, when he and Alan Turing independently showed that a general solution to the *Entscheidungsproblem* is impossible, assuming that the intuitive notion of "effectively calculable" is captured by the functions computable by a Turing machine, or equivalently, by those expressible in the lambda calculus. This assumption is now known as the *Church-Turing thesis*.
