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Microsoft PowerPoint - slides5.pptCPS 100 5.2 Loop Invariants Want to reason about the correctness of a proposed iterative solution Loop invariants provide a means to effectively
COMP250_Lecture11_W2018Algorithm specification • An algorithm is described by: – Input data – Output data – Preconditions: specifies restrictions on
Loop Invariants: Part 2 7 January 2019 OSU CSE 1 Maintaining the Loop Invariant • A claimed loop invariant is valid only if the loop body actually maintains the property,…
A survey of loop invariants Carlo A. Furia · Bertrand Meyer · Sergey Velder January 30, 2013 Abstract At the heart of every loop, and hence of all algorithms, lies a loop…
Binary Search and Loop invariants Lecture 12A CS2110 â Spring 2014 Develop binary search in sorted array b for v * ? If v in b, h is index of rightmost occurrence of v.…
Binary Search and Loop invariants Lecture 12A CS2110 â Spring 2014 Develop binary search in sorted array b for v * ? If v in b, h is index of rightmost occurrence of v.…
Maps, Hash Tables and Dictionaries Loop Invariants and Binary Search Chapter 4.4, 5.1 Last Updated: 2014-02-25 9:59 AM CSE 2011 Prof. J. Elder - ‹#› - Dictionaries 7/23/2014…
Generating Loop Invariants via Polynomial Interpolation Marc Moreno Maza Joint work with Rong Xiao University of Western Ontario, Canada East China Normal University May…
ar X iv :1 21 1 44 70 v4 cs S E 1 3 Ja n 20 14 Loop invariants: analysis classification and examples Carlo A Furia · Bertrand Meyer · Sergey Velder Abstract Software verification…
Generating Loop Invariants via Polynomial InterpolationRong Xiao East China Normal University May 24, 2012 Plan 1 Preliminaries Notions on loop invariants Poly-geometric
Loop Invariants: Part 1 7 January 2019 OSU CSE 1 Reasoning About Method Calls • What a method call does is described by its contract – Precondition: a property that is…
A Loop invariants: analysis, classification, and examples CARLO A. FURIA, ETH Zurich BERTRAND MEYER, ETH Zurich, ITMO St. Petersburg, and Eiffel Software SERGEY VELDER, ITMO…
Code2Inv: Learning Loop Invariants for Program Verification Xujie Si*, Hanjun Dai*, Mukund Raghothaman, Mayur Naik, Le Song *equal contribution University of Pennsylvania…
Last Updated: 2014-02-25 9:59 AM CSE 2011 Prof J Elder - 1 - Loop Invariants and Binary Search Chapter 433 and 931 Last Updated: 2014-02-25 9:59 AM CSE 2011 Prof J Elder…
CHAPTER 5 SEQUENCES, MATHEMATICAL INDUCTION, AND RECURSION Alessandro Artale – UniBZ - http:www.inf.unibz.it∼artale Copyright © Cengage Learning. All rights reserved.…
Outline Iterative Algorithms, Assertions and Proofs of Correctness Binary Search: A Case Study
Learning Loop Invariants for Program Verification Xujie Si∗ University of Pennsylvania xsi@cisupennedu Hanjun Dai ∗ Georgia Tech hanjundai@gatechedu Mukund Raghothaman…
Learning Loop Invariants for Program Verification Xujie Si∗ University of Pennsylvania [email protected] Hanjun Dai ∗ Georgia Tech [email protected] Mukund Raghothaman…
15-122 Klas Leino Finding Strong Loop Invariants Assume there is a function int slowFibint n which follows the following recursive definition: slowFib0 = 0 slowFib1 = 1 slowFibn…
Maximal and Compositional Pattern-Based Loop Invariants Virginia Aponte1, Pierre Courtieu1, Yannick Moy2, and Marc Sango2 1 CNAM, 292 rue Saint-Martin F-75141 Paris Cedex…