Gödel's incompleteness theorems, published in 1931, demonstrate the limits of provability in formal axiomatic theories. The first theorem states that no consistent system of axioms can prove all truths about arithmetic, while the second theorem shows that the system cannot prove its own consistency. These theorems were the first in a series of related results on the limitations of formal systems.
Carnegie Mellon University
Spring 2014
A comprehensive course at Carnegie Mellon University that introduces fundamental principles of programming language design and implementation from a mathematical perspective. It delves deep into the structural and dynamic aspects of programming languages, studying concepts like recursion, objects, polymorphism, and parallelism.
No concepts data
+ 38 more concepts