PPT-Higher-order Program Verification as Refinement Type

Inference Hiroshi Unno University of Tsukuba Joint work with Naoki Kobayashi Tachio Terauchi Ryosuke Sato Takuya Kuwahara Kodai Hashimoto Sho Torii 201574 HOPA 2015. 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. Componen. t-. Based Information Systems. Jan Martijn van der Werf. Organizations cooperate. Bob. Charley. Alice. “Who-knows-who” not transitive!. Dave. Organizations deliver services. Bob. Charley. can . be incorporated in teaching. K. Rustan M. Leino. Research in Software Engineering (. RiSE. ). Microsoft Research, Redmond, WA, USA. Invited talk. Informatics Education in Europe (IEE III’08). (via Automated Refinement Type Inference). Tachio. Terauchi. Nagoya University. TexPoint fonts used in EMF. . Read the TexPoint manual before you delete this box.: . A. A. A. A. A. A. A. A. A. Verifying higher-order functional programs. Pushmeet Kohli. Microsoft Research Cambridge. . Lubor Ladicky Philip Torr. Oxford Brookes University, Oxford. CVPR 2008. Image labelling Problems. Image . Denoising. . Geometry Estimation. Object Segmentation. Niki. Vazou. 1. , Patrick M. Rondon. 2. , and . Ranjit. Jhala. 1. 1. UC San Diego . 2. Google . 1. Vanilla Types. 12 :: . Int. 2. Refinement Types. 12 :: . {. . v: . Int. . |. v > 10. Dr. Suwichit Chaidaroon. suwichit@gmail.com. What was the last video clip that you watched on YouTube, . Vemeo. , or other social media platforms that really captured your interests . and. provided you with insightful information?. SMT workshop 2012. Nikolaj . Bjørner. , Ken McMillan, . Andrey. . Rybalchenko. Microsoft Research. Takeaways. Program Verification . as . Solving Recursive Horn Clauses . . as . Satisfiability. Staden. , . Cristiano. Calcagno, Bertrand Meyer. Chair of Software Engineering. V. erification systems. Formal systems with . judgements. . t. Sat . S. Prove whether an inductively defined term . Fig S2yLi EuA-DRietveld refinement of the SXRD patterns of Na099-xxAl1-xSi1xO4yLi 001EuNASO yLi Eu 0 y 015 samplesTable S1 Main parameters of processing and refinement of the NxASO 0 x 025 and NxASO Welcome Welcome to the SAVE Tutorial This tutorial has three parts Program Background Verification Process Web Browser StepStep SAVE has many guides and otherresources that may answer anyquestions you Higher Order Thinking Skills Page Executive SummaryDefinitionHigher order thinking skills include critic K. Rustan M. Leino. RiSE. , Microsoft Research, Redmond. PROLE 2009. 09/09/2009. San Sebastian, Spain. Software quality assurance. A major software engineering concern. Costly. Relies heavily on testing. a. nd string. Sampath Jayarathna. Cal Poly Pomona. Based on slides created by Bjarne . Stroustrup. & Tony Gaddis. CS 128. Introduction to C++. 1. Mathematical Expressions. Can create complex expressions using multiple mathematical operators.