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An Isaac Newton Institute Programme

Logic and Algorithms

Post's Lattice with Applications to Complexity Theory

30th May 2006

Author: Heribert Vollmer (Hannover)

Abstract

In this sequence of lectures we will give a basic introduction to Post's lattice of all sets of Boolean functions closed under superposition (a.k.a. clones), and show how to make use of this structure to obtain complexiy classifications of diverse problems for Boolean circuits, propositional formulas, databases, and Boolean constraint satisfaction problems.