PPT-Quantified Invariants in Rich Domains

using Model Checking and Abstract Interpretation Anvesh Komuravelli CMU Joint work with Ken McMillan The Problem ArrayManipulating Program P Assertions Automatic analysis for assertion failures. Luke 16. Folktale brought out by Jesus to teach a lesson. Before Jesus there was an Egyptian folktale circulating depicting a rich man dressed in fine linen and a poor man on a straw mat, whose roles were reversed after death…. 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. . Işil. . Dillig. , Thomas . Dillig. , and Alex Aiken. Stanford University. Simplifying Loop Invariant Generation Using Splitter Predicates. Loops and Loop Invariants. Invariant. evaluates . to . true. Pranav. . Garg. University of . illinois. at . urbana-champaign. Joint work with:. . P. . madhusudan. (. uiuc. ),. . christof. . loding. (RWTH . AAchen. ). . daniel. . neider. (RWTH Aachen). . . Lazarus by the gate. . The Rich man. New Life Publishing. 3430 Brainerd rd. . Chattanooga,Tn. . 37411. Pastor Mike . Palevo. Copyright © 2010 all rights reserved . . Luk. 16:19 There was a certain rich man, which was . Why. are Quantified Statements Important?. The logical structure of quantified statements provides a basis for the construction and validation of . proofs.. Consider the quantified statements…. “For every positive number . Andrew Reynolds. Cesare. . Tinelli. Leonardo De . Moura. July 18, 2014. Outline of Talk. SMT solvers:. . Efficient. methods for . ground. constraints. . Heuristic. methods for . quantified. formulas. in . Flowpipe. Construction . using Pseudo-Invariants. Stanley . Bak. United States Air Force Research Lab. Information Directorate – Rome, NY. Cyber-Physical Systems. Include computational (discrete) components, and physical-world (continuous) aspects. Pietro Ferrara. Chair of Programming . Methodology. ETH Zürich. pietro.ferrara@gmail.com. Who I am. Former student @ . Ca. ’ . Foscari. Bachelor: July 2003. Master: February 2005. PhD student @. Ecole. 22 – 26 August 2016. 3. The Logic of Quantified Statements. Summary. . 1. . 2. . 3. The Logic of Quantified Statements. Summary. 3. . . 3.1 Predicates and Quantified Statements I. Definition 3.1.1 (Predicate). 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). Ranjit. . Jhala. , UC San . Diego. (with Pat . Rondon. , Ming Kawaguchi). char* . rev_copy. (. char* . a, . int. n){. . i. = 0;. j = n – 1;. b = . malloc. (n);. . while. (0<=j){. b[. 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 = . functions. Indian Institute of Science. April . 27, . 2017. Dmitry . Beliaev. , Oxford. Igor Wigman, KCL. 1. Motivation & Background. Chladni. plates video. General Setup. . – Compact smooth n-manifold.