PPT-Generating Compiler Optimizations from Proofs

Ross Tate Michael Stepp Sorin Lerner University of California San Diego Optimizing by Hand Original for i 0 i lt 50 i for j 0 j lt 50 j imgi50 j fi j. WEATHERIZATION ENERGY AUDITOR SINGLE FAMILY. WEATHERIZATION ASSISTANCE PROGRAM STANDARDIZED CURRICULUM – . December 2012. By attending this session, participants will be able to:. Formulate solutions to handle typical barriers to weatherization resources.. Subhypergraphs. with Polynomial Delay. Taishin Daigo (Kyushu Inst. of Tech.). Kouichi Hirata (Kyushu Inst. of Tech.). 1. On . Generating Maximal Acyclic . Subhypergraphs. with Polynomial Delay . Contents. and Counting Trees. Today’s Plan. Generating functions for basic sequences. Operations on generating functions. Counting. Solve recurrences. Catalan number. Counting Spanning Trees. Generating Functions. Madhu Sudan. . MIT CSAIL. 09/23/2009. 1. Probabilistic Checking of Proofs. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. Can Proofs Be Checked Efficiently?. Chapter 1, Part III: Proofs. Summary. Proof Methods. Proof Strategies. Introduction to Proofs. Section 1.7. Section Summary. Mathematical Proofs. Forms of Theorems. Direct Proofs. Indirect Proofs. Proof of the . First points:. This is written for mathematical proofs. Unless you are doing math econ, formal game theory, or statistical/econometric development (not application) you may not do formal mathematical proofs.. Nuno Lopes . and. José Monteiro. Deriving preconditions by hand is hard; WPs are often non-trivial. WPs derived by hand are often wrong!. Weaker preconditions expose more optimization opportunities. DPLL(T)-Based SMT Solvers. Guy . Katz. , Clark Barrett, . Cesare . Tinelli. , Andrew Reynolds, Liana . Hadarean. Stanford . University. The University. of Iowa. Synopsys. Producing Checkable Artifacts. Generating Permutations. Many different algorithms have been developed to generate the n! permutations of this set.. We will describe one of these that is based on the . lexicographic . (or . dictionary. Prof. O. . Nierstrasz. Lecture notes by Marcus . Denker. © Marcus . Denker. Optimization. Roadmap. Introduction. Optimizations in the Back-end. The Optimizer. SSA Optimizations. Advanced Optimizations. . Iddo Tzameret. Royal Holloway, University of London . Joint work with Fu Li (Tsinghua) and Zhengyu Wang (Harvard). . Sketch. 2. Sketch. : a major open problem in . proof complexity . stems from seemingly weak results. 1.1 Propositional Logic. 1.2 Propositional Equivalences. 1.3 Predicates and Quantifiers. 1.4 Nested Quantifiers. 1.5 Rules of Inference. 1.6 Introduction to Proofs. 1.7 Proof Methods and Strategy. To prove an argument is valid or the conclusion follows . Ross Tate. Michael Stepp. Sorin Lerner. University of California, San Diego. Optimizing by Hand. Original. for (i = 0; i < 50; i ). . for (j = 0; j < 50; j ). . img[i*50 j] = f(i, j);. Ross Tate. Michael Stepp. Sorin Lerner. University of California, San Diego. Optimizing by Hand. Original. for (i = 0; i < 50; i ). . for (j = 0; j < 50; j ). . img[i*50 j] = f(i, j);.