Css 203 1 Computational Complexity Css 203 1 Computational Complexity
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Css 203 1 Computational Complexity Css 203 1 Computational Complexity Information Guide
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Instructor: Ramprasad Saptharishi This is the first of three lectures building towards's Ryan Williams' recent breakthrough result ... MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: Instructor: Erik Demaine ... Agenda: IP ⊂ PSPACE; P^ ⊂ IP (via ); extension to TQBF; IP = PSPACE Instructor: Prahladh Harsha. Agenda: Administrivia; problems of interest: GCD, primality, connectivity, matching, determinant, SAT, , CNF-minimization, ... Agenda: What is a proof?; Graph non-isomorphism; Interactive Proofs (formal definition); what we can prove; an interactive proof ... Agenda: Randomised space; Barrington's theorem Instructor: Ramprasad Saptharishi.
Agenda: Savitch's theorem; logspace reductions; L, NL, coNL, complete problems and relationships Instructor: Prahladh Harsha. Agenda: Toda's theorem: intro. to ⊕SAT, randomised reduction from PH to ⊕SAT, derandomisation via a query Instructor: ... Agenda: Probabilistic classes, Error reduction, relationship to other Agenda: ; decision vs counting; -completeness of ; -completeness of Permanent. Instructor: Ramprasad Saptharishi. Agenda: BPP error reduction, Chernoff Bound, BPP vs P/poly, BPP vs. PH, randomized space Instructor: Prahladh Harsha. Agenda: Approximate counting with an NP oracle; self-reducibility properties of the Permanent Instructor: Ramprasad Saptharishi.
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Agenda: Promise problems; Unique-SAT; the Valiant-Vazirani Lemma; introduction to Instructor: Ramprasad Saptharishi. Agenda: PCP Theorem(s) and applications to inapproximability results Instructor: Prahladh Harsha.
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