PPT-The new invariants What

does mass mean World lines 4dimensional physics Causality The twin paradox Next Accelerated reference frames and general relativity two lectures An invariant is lost and another gained. The First Data FD100 terminal combines performance, security and ease of use plus adaptability when your processing needs change. 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. Rahul Sharma and Alex Aiken (Stanford University). 1. Randomized Search. x. = . i. ;. y = j;. while . y!=0 . do. . x = x-1;. . y = y-1;. if( . i. ==j ). assert x==0. No!. Yes!.  . 2. Invariants. Invariant . Inference. Invariants. Dictionary Meaning:. A function, quantity, or . property. which remains unchanged. Property (in our context): a predicate that holds for some, all, or no states. Proseminar „Programmanalyse. ”, Prof. Dr. Heike . Wehrheim. Universit. ät Paderborn, WS 2011. /2012. Anton . Tonkushin. Static debugging. Array indexing outside of its proper bounds. Division by zero. K. Rustan M. Leino and Wolfram Schulte. Microsoft Research, Redmond. ESOP 2007. Braga, Portugal. 28 March 2007. Overall goal. Specify and statically verify programs. Use modular verification (local reasoning). with disjunctive invariants. Dimitrios Vytiniotis, MSR Cambridge. w. ith . Byron Cook (MSR Cambridge) and Ranjit Jhala (UCSD). IFIP WG 2.8, Austin TX, March 2011. … or, what am I doing hanging out with these people?. 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. Mooly. . Sagiv. http://www.cs.tau.ac.il/~msagiv/courses/pa16.html. Formalities. Prerequisites: Compilers or Programming Languages. Course Grade. 10 % Lecture Summary (. latex+examples. within one week). 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[. Gaunnan Guo. 1. Ironfleet: proving practical distributed systems correct. Chris Hawblitzel, Jon Howell, Manos Kapritsos, Jacob R. Lorch, Bryan Parno, Michael L. Roberts, Srinath Setty, Brian Zill. Presented by Wesley Ma. 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 = .