'Loop invariants' presentation slideshows

Iterative Algorithms & Loop Invariants

Steps in an Iterative Algorithm Code from LI Fairy God Mother (Lake) More of Input (Insertion and DFA) More of Output (Selection & Blocks) Narrowing the search space Shrinking Instance (GCD) (Running Time ) Jeff's result. Iterative Algorithms & Loop Invariants. Jeff Edmonds

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Iterative Algorithms & Loop Invariants

Steps in an Iterative Algorithm Typical Loop Invariants Lower Bound for Sort. Iterative Algorithms & Loop Invariants. (same as in 3101). Jeff Edmonds York University. Lecture 1. COSC 3101. vs A Sequence of Assertions. A Sequence of Actions. Max( a,b,c ).

1.04k views • 65 slides

Functional Verification IV: Revisiting Loop Invariants

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Algorithmic Design

679 views • 51 slides

TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A

Art of Invariant Generation applied to. Symbolic Bound Computation. Part 2. Sumit Gulwani (Microsoft Research, Redmond, USA). Oregon Summer School July 2009. TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A. Art of Invariant Generation.

601 views • 48 slides

Recursion

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Predicate Abstraction for Software Verification

Predicate Abstraction for Software Verification. Shaz Qadeer Compaq Systems Research Center (joint work with Cormac Flanagan). Systems software. OS components file system, buffer cache manager Abstract from low-level to high-level operations tedious low-level programming detail

530 views • 38 slides

CSE 331 Software Design & Implementation reasoning i

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This Week

This Week. Lecture on relational semantics Exercises on logic and relations Labs on using Isabelle to do proofs. Synthesis, Analysis, and Verification Lecture 02a. Relational Semantics. Lectures: Viktor Kuncak. More Relations and Functions. Function Updates. A Simple Property.

340 views • 25 slides

CS 220: Discrete Structures and their Applications

CS 220: Discrete Structures and their Applications. Loop Invariants Chapter 3 in zybooks. Program verification. How do we know our program works correctly? In this lecture we will focus on a tool for verifying the correctness of programs that involve loops. pre- and post-conditions.

255 views • 25 slides

Simplifying Loop Invariant Generation Using Splitter Predicates

Simplifying Loop Invariant Generation Using Splitter Predicates. Rahul Sharma I?il Dillig , Thomas Dillig , and Alex Aiken Stanford University. Loops and Loop Invariants. Invariant evaluates to true a fter every iteration Key problem software verification Is undecidable. x = 0;

389 views • 23 slides

Predicate Abstraction for Software Verification

Predicate Abstraction for Software Verification. Cormac Flanagan Shaz Qadeer. Verifying a Procedure. Given: Precondition Postcondition Loop Invariants specified for all loops Generate a Logical Formula (F) for the procedure And, Prove (using a decision Procedure)

356 views • 23 slides

Reasoning About Code

Reasoning About Code. Reasoning about code. Determine what facts are true during execution x > 0 for all nodes n : n.next.previous == n array a is sorted x + y == z if x != null , then x.a > x.b Applications: Ensure code is correct (via reasoning or testing)

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Using Loop Invariants to Detect Transient Faults in the Data Caches

359 views • 17 slides

Introduction

Introduction. Ever scaling process technology makes embedded systems more vulnerable to soft errors The method of fully duplicating instructions is effective, but has heavy costs in terms of performance, power and memory space Our approach: Checking loop invariants to fight soft errors.

217 views • 14 slides

Unit 3 - The while Loop - Extending the Vic class - Examples

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CS 331, Principles of Programming Languages

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This slide shows a Hoare triple , which is used to reason about programs.

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Axiomatic semantics - II

Axiomatic semantics - II. We reviewed the axiomatic semantic rules for: assignment sequence conditional while loop We also mentioned: preconditions, postconditions precondition strengthening, postcondition weakening We finished off the while-loop example from last class. Loop invariant.

257 views • 6 slides

First Day

*. *. Ron K. Cytron. Department of Computer Science and Engineering Washington University in Saint Louis. First Day. Welcome to CSE131. Please find and take seats near the front if possible As you come in please use WUTexter to answer the following poll:

179 views • 5 slides