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. Fluidity of Two Commercial DAHLE, P.A. TONDEL, C.J. PARADIES, and L. ARNBERG The effect of grain refinement on the fluidity of A1Si7Mg and A1Sil 1Mg has been investigated by spiral tests. Two diffe Coming to Grips with Complexity in Verification. Ken McMillan. Microsoft Research. TexPoint fonts used in EMF: . A. A. A. A. A. Need for Formal Methods that Scale. We design complex computing systems by debugging. Performance. . and Benchmark Comparisons. Eric M. Heien. [1]. , . Timo. Heister . [2]. , Wolfgang . Bangerth. [. 2]. , Louise H. Kellogg. [1. ]. 1) Department of Geology, University of California, Davis CA 95616 USA 2) Texas A&M . 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). Chapter 8. Modeling System Objectives with Goal Diagrams. Intentional view of the modeled system. Chap.8: Goals. Chap.9: Risks. Chap.10: Conceptual objects. Chap.11: Agents. on what?. why. . ?. who. Michael Butler. University of Southampton. users.ecs.soton.ac.uk/mjb. Motivation. In a refinement based approach it is beneficial to model systems . abstractly . with . little architectural structure . for Concurrent Programs. Shaz Qadeer. The refinement approach. P is safe. P = P. 0. refines P. 1 . … P. k-1. refines . P. k. is safe. Abstraction. Refinement. Layered proof could be simpler both for human and computer. 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. procedure for . native structure. phenix.refine. . yourcoords.pdb. . m230d_2017_scaled.mtz . refinement.input.xray_data.labels. =". FP_native-cris. . SIGFP_native-cris. “ . output.prefix. =. nativeround1. 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?. Verification is confirmation of eligibility for free and reduced price meals under NSLP and SBP. . Verification is . not . required for CEP schools or DC students. . Verification activities begin on Oct. 1 and must be concluded by November. 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 . 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