PPT-Abstraction Functions and Representation Invariants

Paul Ammann 2 Data Abstraction Abstract State Client State Representation State Internal State Methods behavior Constructors create objects Producers return immutable object Mutators change state. With Liquid . Types. Ranjit. . Jhala. , UC San Diego. (with Pat . Rondon. , Ming Kawaguchi). Part I. First-Order Verification. Part II. Higher-Order Verification. char* . rev_copy. (. char* . a, . int. Genetic Programming. John Woodward and . Ruibin. . Bai. The University of Nottingham Ningbo. Outline of Talk 1. GP search spaces often consist of programs which represent functions . multiple times. . Işil. . Dillig. , Thomas . Dillig. , and Alex Aiken. Stanford University. Simplifying Loop Invariant Generation Using Splitter Predicates. Loops and Loop Invariants. Invariant. evaluates . to . true. . can. not . be. . seen. Rainer Kaenders. University . of. Cologne. GeoGebra Conference Linz 2011. Functions. . can. not . be. . seen. … but . can. . be. . represented. . GeoGebra . can. . Occurs through a process of . simplification. or . distortion. in an attempt to communicate an . essential aspect. of a form or concept. Varying degrees of resemblance to the real world. Abstraction. Swarup. Kumar . Sahoo. John Criswell. Chase . Geigle. Vikram. . Adve. 1. Department of Computer Science. University of Illinois at Urbana-Champaign. Motivation - 1. 2. Software bugs cost ~$59.5 billion annually (about 0.6% of the GDP). Proofs and Counterexamples. Anvesh. . Komuravelli. Carnegie Mellon University. Joint work with . Arie. . Gurfinkel. , . Sagar. . Chaki. , and Edmund Clarke. Safety . of Programs. Program . P. + Safety Assertions. -X. : A Comprehensive Invariant based . Approach for . Performance Diagnosis in Big Data Platform. Pengfei. Chen. Xi’an . Jiaotong. university. 2014-9-2. Background. National Defense. Health. Ranjit Jhala, UC San Diego. Checking. Properties. Of Software. Static Safety Verification. Dynamic Liveness Testing. char* . rev_copy. (. char* . a, . int. n){. . i. = 0;. j = n – 1;. b = . Dr. José M. Reyes Álamo. Outline. Functions. Built-in functions. User defined functions. Abstraction. Reusability. Parameters and arguments. Returning values. Variables Scope. Functions. From mathematics, a functions perform some operation and returns a result.. Functions, Procedures, and Abstraction Dr. José M. Reyes Álamo Status of Assignment and Quizzes Past Due RA1_ComputerConcepts RA2_PythonCh1Ch2 RA3_PythonCh5Ch7 Quiz1 Pending RA4_PythonCh3Ch6 RA5_PythonCh8Ch10 Way of classifying information from abstract (general) to concrete (specific) . . Level 4:. Abstractions. Level 3: . Noun Classes, broad group names with little specification. Level 2:. Noun Categories, more definite groups. Slide . 1. PHY Abstraction for MU-MIMO. Date:. 2010-07-11. Authors: . Name. Affiliations. Address. Phone. email. Riichi Kudo. NTT Corporation. Hikarino-oka Yokosuka-shi Japan. +81-46-859- 3140. kudo.riichi@lab.ntt.co.jp. Slide . 1. PHY Abstraction for MU-MIMO. Date:. 2010-07-11. Authors: . Name. Affiliations. Address. Phone. email. Riichi Kudo. NTT Corporation. Hikarino-oka Yokosuka-shi Japan. +81-46-859- 3140. kudo.riichi@lab.ntt.co.jp.