O'Reilly logo

Computation, Proof, Machine by Marion Roman, Pierre Guillot, Gilles Dowek

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Chapter Six Lambda Calculus, or an Attempt to Reinstate Computation in the Realm of Mathematics

THE THEORY OF COMPUTABILITY, which provided a negative answer to Hilbert’s decision problem, went hand in hand with an attempt to reinstate computation in mathematics. Although this attempt failed, it is significant and worthy of attention. In many ways, it foreshadowed future developments in the history of mathematics. This attempt rests on a language that is considered to be Church’s greatest achievement, namely lambda calculus.

Lambda calculus started out as a simple functional notation system. A function can be represented by a table of values, or by a curve, but also, in some cases, by a functional expression. For example, the function that, ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required