PPT-Type inference in type-based verification

Dimitrios Vytiniotis Microsoft Research dimitrismicrosoftcom May 2010 Software is hard to get right Which tools can help programmers write reliable code How to make these tools more practical. Daniel R. Schlegel. Department of Computer Science and Engineering. Problem Summary. Inference graphs. 2. in their current form only support propositional logic. We expand it to support . L. A. – A Logic of Arbitrary and Indefinite Objects.. of Computer Programs. these slides contain advanced . material and are optional. What is verification. Check correctness of the implementation given the specification. Static verification. Check correctness without executing the program. Meeting 5: Chunk 2. “I can infer…because…and…I know”. Today’s Cluster:. Objective: . By the end of the meeting, teachers will be prepared to introduce “I can infer…because…and I know…” using the critical attributes which. . CRF Inference Problem. CRF over variables: . CRF distribution:. MAP inference:. MPM (maximum posterior . marginals. ) inference:. Other notation. Unnormalized. distribution. Variational. distribution. Chapter 14 . The pinhole camera. Structure. Pinhole camera model. Three geometric problems. Homogeneous coordinates. Solving the problems. Exterior orientation problem. Camera calibration. 3D reconstruction. (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. Suhas Lohit, . Kuldeep. Kulkarni, . Pavan. . Turaga. ,. . Jian Wang, . Aswin. . Sankaranarayanan. Arizona . State . University. . Carnegie Mellon University. Sergio Pissanetzky. Sergio@SciControls.com. Emergent Inference. Any system. VISION. ROBOT. SOFTWARE. your mom. grab. an. object. computer. program. eyes. cameras,. sensors. translation. 100,000,000. Daniel R. Schlegel and Stuart C. Shapiro. Department of Computer Science and Engineering. University at Buffalo, The State University of New York. Buffalo, New York, USA. <. drschleg,shapiro. >@buffalo.edu. Kari Lock Morgan. Department of Statistical Science, Duke University. kari@stat.duke.edu. . with Robin Lock, Patti Frazer Lock, Eric Lock, Dennis Lock. ECOTS. 5/16/12. Hypothesis Testing:. Use a formula to calculate a test statistic. Warm up. Share your picture with the people at your table group.. Make sure you have your Science notebook, agenda and a sharpened pencil. use tape to put it in front of your table of contents. Describe the difference between observations and inferences. An.  inference is an idea or conclusion that's drawn from evidence and reasoning. . An . inference.  is an educated . guess.. When reading a passage: 1) Note the facts presented to the reader and 2) use these facts to draw conclusions about . Warm up. Share your picture with the people at your table group.. Make sure you have your Science notebook, agenda and a sharpened pencil. use tape to put it in front of your table of contents. Describe the difference between observations and inferences. Chapter . 2 . Introduction to probability. Please send errata to s.prince@cs.ucl.ac.uk. Random variables. A random variable . x. denotes a quantity that is uncertain. May be result of experiment (flipping a coin) or a real world measurements (measuring temperature).