110a957fc2e185a8429cb65cfa28fb0b.ppt
- Количество слайдов: 130
tball@microsoft. com 1
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Reachability 8
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Safe Invariants 10
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More Concretely 12
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State Space Exploration 14
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Refined Boolean Abstraction 16
Refined Boolean Abstraction 17
Invariant 18
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Overview 20
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Safe Invariants 22
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45 Slide courtesy of Patrick Cousot
46 Slide courtesy of Patrick Cousot
47 Slide courtesy of Patrick Cousot
48 Slide courtesy of Patrick Cousot
Overview 49
Abstract Interpretation, So Far 50
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52 Diagram from Cousot, POPL 1977
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Part I: Summary 61
Overview 62
Boolean Abstraction 63
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Part II: Overview 65
Predicate Abstraction 66
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Abstracting Assigns via WP 77
WP Problem 78
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Abstracting Assignments 80
Assignment Example 81
Assignment Example 82
Abstracting Assumes 83
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Refined Boolean Abstraction 85
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Part II: Overview 87
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Binary Decision Diagrams 93
Binary Decision Diagrams 94
Binary Decision Diagrams 95
Hash Consing + Variable Elimination 96
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Part II: Overview 98
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Source Code 106
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Part III: Comparison 108
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Abstraction/Refinement 113
Guarded Command Language 114
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Safe Backward Invariants 117
Predicate Abstraction 118
Free Lattice of DNF over {a, b} 119
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FAIR 121
Widening 122
Interval Widening, Revisited 123
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FAIR 125
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Proof of Theorem 127
Summary 128
What We Did 129
Searching for Solutions 130
110a957fc2e185a8429cb65cfa28fb0b.ppt