PPT-Using the Coq theorem prover

to verify complex data structure invariants Kenneth Roe Scott F Smith 9302017 The Johns Hopkins University Software developmen t Software developmen t Software developmen t Software developmen. 3 Theorem 1 Theorem Let be a discrete valuation ring with 64257eld of fractions and let be a smooth group scheme of 64257nite type over Let sh be a strict Henselisation of and let sh be its 64257eld of fractions Then admits a N57524eron model over Then there exists a number in ab such that The idea behind the Intermediate Value Theorem is When we have two points af and bf connected by a continuous curve The curve is the function which is Continuous on the interval ab and is a numb verifiable computation and. succinct arguments:. . survey and . wishlist. Michael Walfish. NYU. The motivation is 3. rd. party computing: cloud, etc.. Ideal requirements:. Efficiency . (client CPU, communication, server CPU). Stephanie Bayer. University College London. Jens Groth. University College London. Motivation . – e-voting. Voting: - Voter casts secret vote . - Authorities reveal votes in random permuted order . . . . . by . Changqing. Li. Mathematics. Discrete geometry. Computational geometry. Measure theory. What is “ham sandwich theorem”?. The volumes of any . Dominique Unruh. University of Tartu. Tartu, April 12, 2012. Why quantum ZK?. Zero-knowledge:. Central tool in crypto. Exhibits many issues “in the small case”. Post-quantum crypto:. Classical protocols. Authentication . by Substring Matching. M. Majzoobi, . M. Rostami. , . F. . Koushanfar, D. Wallach, and S. . Devadas* . International . Workshop on Trustworthy Embedded . Devices. , . San Francisco, May 2012. Rothblum. Publicly . Verifiable Non-Interactive Arguments . for . Delegating . Computation. Meet . Ran. Computational task:. Review submission #. 123. Accept . \ Reject. Delegating Computation.  .  . Authentication . by Substring Matching. M. Majzoobi, . M. Rostami. , . F. . Koushanfar, D. Wallach, and S. . Devadas* . International . Workshop on Trustworthy Embedded . Devices. , . San Francisco, May 2012. Divergence. In calculus, the divergence is used to measure the magnitude of a vector field’s source or sink at a given point. Thus it represents the volume density of the outward flux of a vector field . The . Power . of No-Signaling . Proofs. Ron . Rothblum. Weizmann Institute. Joint work with Yael . Kalai. and Ran . Raz. Delegation. Motivation: . allow a computationally weak device to . outsource computation . Stephanie Bayer. University College London. Jens Groth. University College London. Motivation . – e-voting. Voting: - Voter casts secret vote . - Authorities reveal votes in random permuted order . Based on Powerpoint slides by Giorgi Japaridze , Villanova University Space Complexity and Interactive Proof Systems Sections 8.0, 8.1, 8.2, 8.3, 10.4 Space complexity defined 8.0.a Definition 8.1 Based on Powerpoint slides by Giorgi Japaridze , Villanova University Space Complexity and Interactive Proof Systems 1 Space complexity defined 8.0.a Definition 8.1 Let M be a deterministic Turing machine that halts on