PPT-Dynamic Proofs of Retrievability

via Oblivious RAM David Cash Rutgers University Daniel Wichs Northeastern University Alptekin Kupcu Koc University 2 Outsourced Data Storage Lots of data music photos emails documents scientific dataset . Perhaps youve already seen such proofs in your linear algebra course where a vector space was de64257ned to be a set of objects called vectors that obey certain properties Your text proved many things about vector spaces such as the fact that the in Logic and Proof. Fall . 2011. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . Chapter 1, Part III: Proofs. With Question/Answer Animations. Summary. Valid Arguments and Rules of Inference. Proof Methods. Proof Strategies. Rules of Inference. Section 1.6. Section Summary. Valid Arguments. the refinement . algebra. Vlad. . Shcherbina. Ilya. . Maryassov. Alexander . Kogtenkov. Alexander . Myltsev. Pavel. . Shapkin. Sergey . Paramonov. Mentor: Sir Tony Hoare. Project motivation. Educational (get some experience with interactive theorem . via. Oblivious RAM. David Cash. Rutgers University. Daniel Wichs. Northeastern University. Alptekin Kupcu. Koc University. 2. Outsourced Data Storage. Lots of data . (music, photos, emails, . documents, scientific dataset, . Learner Objective: I will calculate midpoints of segments and complete proofs 
 requiring that more than one pair of triangles be shown congruent.. Advanced Geometry. Learner Objective: I will calculate midpoints of segments and complete proofs 
 requiring that more than one pair of triangles be shown congruent.. Section 1.7. Section Summary. Mathematical Proofs. Forms of Theorems. Direct Proofs. Indirect Proofs. Proof of the . Contrapositive. Proof by Contradiction. Proofs of Mathematical Statements. A . proof. DPLL(T)-Based SMT Solvers. Guy . Katz. , Clark Barrett, . Cesare . Tinelli. , Andrew Reynolds, Liana . Hadarean. Stanford . University. The University. of Iowa. Synopsys. Producing Checkable Artifacts. Logic and Proof. Fall 2014. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . P(x. ). . P(4) . IIT-Bombay: Math, Proofs, Computing. 1. Mathematics, Proofs and Computation. Madhu. . Sudan. Harvard. Logic, Mathematics, Proofs. Reasoning:. Start with body of knowledge.. Add to body of knowledge by new observations, and new deductions. Structures. Logic and Proof. Spring 2014. Sukumar Ghosh. Predicate Logic. Propositional logic has limitations. Consider this:. Is . x. . > 3. a proposition? No, it is a . predicate. . Call it . rhetorics. , style and other mathematical elements. Jean . Paul Van . Bendegem. Vrije Universiteit Brussel. Centrum voor Logica en Wetenschapsfilosofie. Universiteit . Gent. Starting hypothesis. Mathematics is a heterogeneous activity. . Iddo Tzameret. Royal Holloway, University of London . Joint work with Fu Li (Tsinghua) and Zhengyu Wang (Harvard). . Sketch. 2. Sketch. : a major open problem in . proof complexity . stems from seemingly weak results. Presentation for use with the textbook, . Algorithm Design and Applications. , by M. T. Goodrich and R. Tamassia, Wiley, 2015. Application: DNA Sequence Alignment. DNA sequences can be viewed as strings of .