Css 203 1 Computational Complexity Lecture 7

Summary

Agenda: Savitch's theorem; logspace reductions; L, NL, coNL, complete problems and relationships Instructor: Prahladh Harsha. MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: ocw.mit.edu/6-006F11 Instructor: Erik Demaine ... Agenda: Immerman–Szelepcsényi theorem; introduction to the polynomial hierarchy (definition via quantifiers and oracles) ... Agenda: Limits to diagonalisation: Oracle Turing Machines, the Baker-Gill-Solovay Theorem. Introduction to space Agenda: Arthur-Merlin protocols, MA, AM, properties of AM protocols, GI - NP-complete? public coins = private coins. Instructor: ... Instructor: Ramprasad Saptharishi This is the first of three Agenda: Cook-Levin Theorem, decision vs. search, downward self-reducibility of SAT, coNP, padding techniques: P vs NP and ... Agenda: decision vs counting; of of Permanent. Instructor: Ramprasad Saptharishi. Agenda: IP ⊂ PSPACE; P^ ⊂ IP (via extension to TQBF; IP = PSPACE Instructor: Prahladh Harsha. Agenda: Toda's theorem: intro. to ⊕SAT, randomised reduction from PH to ⊕SAT, derandomisation via a query Instructor: ... Agenda: TBA Instructor: Prahladh Harsha. Agenda: Universal TM simulation, Classes P and NP, non-determinisim, polynomial