PPT-Reasoning with invariants

Jordi Cortadella Department of Computer Science Invariants Invariants help to Define how variables must be initialized before a loop Define the necessary condition to reach the postcondition . - Charles Sanders Peirce. Using Models of Reasoning. A Return to Logos. Reasoning from Specific Instances. Progressing from a number of particular facts to a general conclusion. .. This is also known as inductive reasoning.. 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. Microsoft Research. Redmond, WA, USA. Angela Wallenburg. Chalmers University of Technology. G. öteborg, Sweden. Class-local object invariants. 20 Feb 2008. ISEC 2008. Hyderabad, India. Program verification. Pranav. . Garg. University of . illinois. at . urbana-champaign. Joint work with:. . P. . madhusudan. (. uiuc. ),. . christof. . loding. (RWTH . AAchen. ). . daniel. . neider. (RWTH Aachen). 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). -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. Props . A . chocolate bar. 5 paper cups. Invariants. An invariant is something that does not change.. Other names you may be more familiar with are laws, patterns.. Invariants in Maths and Science 1. SDN Data & Control Planes:. Header Space Analysis. SDN Stack. State layers . hold a . representation . of the . network’s configuration. . Code layers implement. logic . to maintain the . mapping between . 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 = . - Charles Sanders Peirce. On the Radar. Researching the Persuasive Speech Assignment. Due Wednesday on . WebCT. (by 11:59 p.m.). Exam Two. This Friday in Lecture. Study Guide on Course Website. Workshops for the Persuasive Speech. Certain functions of . E. and . H. are invariant under Lorentz transform. The 4D representation of the field is . F. ik. F. ik. . F. ik. = an invariant scalar. (1/2). e. iklm. . F. ik. . F. lm.