College of Chemistry Course Guide

MATH 136 - Incompleteness and Undecidability (4 Units)

(Taken from the UC Berkeley Course Guide)

Course Overview

Summary

Functions computable by algorithm, Turing machines, Church's thesis. Unsolvability of the halting problem, Rice's theorem. Recursively enumerable sets, creative sets, many-one reductions. Self-referential programs. Godel's incompleteness theorems, undecidability of validity, decidable and undecidable theories.

Prerequisites

a href="math53.html">MATH 53 MATH 54 and MATH 55

Workload

Time Commitment

3 hours of lecture per week




UC Berkeley Course Guide