PPT-Proof Complexity Tutorial

The Basics Accomplishments Connections and Open problems Toniann Pitassi University of Toronto Overview P roof systems we will cover Propositional Algebraic SemiAlgebraic Lower bound methods. Audience This tutorial is intended for anyone who will be using the Fedora software in any capacity or who is ge nerally interested in Fe dora and its development brPage 3br Table of Contents Table of Contents 3 Table of Figures 3 Section 1 What http://www.bodowinter.com/tutorial/bw_LME_tutorial1.pdf This tutorial will take you about 1 hour (possibly a bit more). 1 For updates and other tut to Proof Complexity. Paul Beame. University of Washington. Proof Systems and Their Complexity. 2. 3. NP, proofs, and proof systems. L. ∊. NP. : there is a polynomial time computable . V . s.t.. x . Computational Assessment of the Complexity of Music Scores . Ethan Holder. Advisor: Eli . Tilevich. (CS). Committee: Amy Gillick. . (Music) and R. Ben Knapp (ICAT). Musiplectics. Music + . Plectics. Lecture 2: . Reductions. , . NP-completeness, . Cook-Levin theorem . . . Indian Institute of Science. Recap: Class P and FP. A language . L . ⊆ {0,1}* . is in . P . if. There’s a . Lecture 5:. . Class co-NP and EXP;. . . Diagonalization. . . Indian Institute of Science. Recap: Alternate definition of NP. Definition.. An NTM . M. . accepts. a string . to Proof Complexity. Paul Beame. University of Washington. Proof . Systems and Their Complexity. 2. 3. NP, proofs, and proof systems. L. ∊. NP. : there is a polynomial time computable . V . s.t.. x . . and the . Power of Monotone Proofs. Sam Buss (UCSD), Valentine . Kabanets. (SFU), . Antonina . Kolokolova. (MUN), . Michal . Koucký. . (Charles U.). VNC. 1. TexPoint fonts used in EMF. . Toniann. . Pitassi. University of Toronto. 2-Party Communication Complexity. [Yao]. 2-party communication: . each party has a dataset. . Goal . is to compute a function f(D. A. ,D. B. ). m. 1. m. 2. What is the best way to measure the time complexity of an algorithm?. - Best-case run time?. - Worst-case run time?. - Average run time?. Which should we try to optimize?. Best-Case Measures. How can we modify almost any algorithm to have a good best-case running time?. Based on Powerpoint slides by Giorgi Japaridze , Villanova University Space Complexity and Interactive Proof Systems Sections 8.0, 8.1, 8.2, 8.3, 10.4 Space complexity defined 8.0.a Definition 8.1 Based on Powerpoint slides by Giorgi Japaridze , Villanova University Space Complexity and Interactive Proof Systems 1 Space complexity defined 8.0.a Definition 8.1 Let M be a deterministic Turing machine that halts on Lijie. Chen. MIT. Today’s Topic. Background. . What is Fine-Grained Complexity?. The Methodology of Fine-Grained Complexity. Frontier: Fine-Grained Hardness for Approximation Problems. The Connection. Alexander A. . Razborov. University of . Chicago. Steklov. . Mathematical Institute . IAS, . Avi. is 60 conference, October 5, 2016. Subtitle: on my . (and others’) largely unsuccessful . attempts to make .