Constraint-based verification

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Hauptverfasser: Yuan, Jun (VerfasserIn), Pixley, Carl (VerfasserIn), Aziz, Adnan (VerfasserIn)
Format: Buch
Sprache:English
Veröffentlicht: New York, NY Springer 2006
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Datensatz im Suchindex

_version_ 1819772439958126592
adam_text Contents Dedication v 1. INTRODUCTION 1 1.1 Design Complexity 2 1.2 The Design Productivity Gap 4 1.3 The Verification Crisis 5 1.4 Design Modeling and Verification 7 1.5 Dynamic versus Static Verification 9 1.6 Simulation 11 1.6.1 Simulators 11 1.6.2 Testbench 12 1.6.3 Test Generation 12 1.6.4 Checking Strategies 13 1.6.5 Coverage 13 1.7 Emulation 14 1.8 Static Verification 15 1.8.1 Equivalence Checking 15 1.8.2 Model Checking and Bounded Model Checking 16 1.8.3 Theorem Proving 17 1.8.4 Language Containment 17 1.8.5 Symbolic Simulation 17 1.8.6 Hybrid Simulation and Formal Verification 18 1.9 Constraints, Assertions, and Verification 18 1.9.1 Constrained Random Simulation 19 1.9.2 Assertion-based Verification 20 1.10 A Composite Verification Strategy 20 CONSTRAINT-BASED VERIFICATION viii 1.11 Summary and Book Organization 21 2. CONSTRAINED RANDOM SIMULATION 25 2.1 Constraints for Test Generation 26 2.2 Constraining Design Behaviors 29 2.3 Constraint Solving 30 2.4 Efficiency of Constraint Solving 32 2.5 Randomization 32 2.6 Constraint Diagnosis 33 2.7 A Constrained Random Simulation Tool 33 2.7.1 The Language 33 2.7.2 BDD-based Constraint Solving 35 2.7.3 Prioritized Constraints 35 3. HIGH LEVEL VERIFICATION LANGUAGES 37 3.1 Testbench and System Languages 38 3.2 Constrained Random Simulation Languages 40 3.2.1 Constraints 40 3.2.2 Commutativity of Constraints 41 3.2.3 Randomization 41 3.2.4 Dynamic Constraints and Randomization 41 3.3 SystemVerilog Random Constraints 42 3.3.1 Overview 43 3.3.2 Set Membership 45 3.3.3 Inline Constraints 45 3.3.4 Random Sequence Generation 46 3.3.5 Variable ordering 47 3.3.6 Cycling Random Variables and Permutations 49 3.3.7 Guarded Constraints 49 3.3.8 Distribution 50 3.3.9 Pre-processing and Post-processing 50 3.3.10 Random Stability 51 3.3.11 Dynamic Constraints and Randomization 52 3.4 Summary 52 4. ASSERTION LANGUAGES AND CONSTRAINTS 53 4.1 Assertion Languages 54 4.1.1 PSL 54 4.1.2 OVL 55 Contents IX 4.2 Temporal Logic and Regular Expression 56 4.2.1 Temporal Logic 57 4.2.2 Regular Expression 58 4.2.3 Truthness of Properties 59 4.2.4 Strong and Weak Semantics 61 4.2.5 Safety and Liveness Properties 63 4.2.6 Multiple Paths and Initial States 65 4.3 Introduction to PSL 65 4.3.1 The Four Layers of PSL 65 4.3.2 Vérifie ation Units 66 4.3.3 Sequential Extended Regular Expression 67 4.3.4 The Foundation Language 68 4.4 Monitors and Generators 70 4.4.1 Monitors 70 4.4.2 Generators 73 4.5 Monitor Construction 74 4.5.1 The Tableau Rules and Cover 75 4.5.2 Constructing the NFA 76 4.5.3 Determinization of NFA 79 4.6 Summary 80 5. PRELIMINARIES 83 5.1 Boolean Algebra and Notations 83 5.2 Graphs 84 5.3 Hardware Modeling 85 5.4 Reachability Analysis 88 5.5 Reduced Ordered Binary Decision Diagrams 90 5.5.1 BDD Representation of Boolean Functions 90 5.5.2 BDD Manipulations 91 5.5.3 The BDD Size Consideration 92 5.6 Boolean Satisfiability 93 5.6.1 SAT Solving 94 5.6.2 Definitions 95 5.6.3 Conflict-based learning and Backtracking 97 5.6.4 Decision Heuristics 100 5.6.5 Efficient BCP Implementation 101 5.6.6 Unsatisfiable Core 102 5.6.7 Other Optimizations 103 X CONSTRAINT-BASED VERIFICATION 5.7 Automatic Test Pattern Generation 104 5.7.1 The D-algorithm 105 5.7.2 The POD EM and FAN algorithms 106 6. CONSTRAINED VECTOR GENERATION 109 6.1 Constraints and Biasing 110 6.1.1 BDD Representation of Constraints 110 6.1.2 Input Biasing and Vector Distribution 111 6.1.3 Constrained Probabilities 111 6.1.4 An Example of Constrained Probability 112 6.2 Simulation Vector Generation 113 6.2.1 The Weight Procedure 114 6.2.2 The Walk Procedure 115 6.2.3 Correctness and Properties 117 6.3 Implementation Issues 120 6.3.1 Variable Ordering 120 6.3.2 Constraint Partitioning 120 6.3.3 The Overall Flow 121 6.4 Variable Solve Order 121 6.5 Weighted Distribution 124 6.6 Cycling Variables and Permutations 125 6.7 Historical Perspective 126 6.8 Results 126 6.8.1 Constraint BDDs 127 6.8.2 A Case Study 128 6.9 Summary 130 7. CONSTRAINT SIMPLIFICATION 133 7.1 Definitions 135 7.2 Syntactical Extraction 137 7.3 Functional Extraction 139 7.4 Constraint Simplification 142 7.4.1 Recursive Extraction 143 7.5 The Overall Algorithm 145 7.6 Historical Perspective 145 7.7 Experiments 148 7.7.1 Impact on Building Conjunction BDDs 148 7.7.2 Impact on Simulation 150 Contents XI 7.8 Summary 151 8. MORE OPTIMIZATIONS 153 8.0.1 Constraint Prioritization 154 8.0.2 Tree-decomposition 155 8.0.3 Functional Decomposition 157 8.0.4 Formula Factorization 158 8.1 Implication of Multiple Clocks 159 8.2 Summary 160 9. CONSTRAINT SYNTHESIS 161 9.1 Problem Formulation 162 9.2 The Constraint Synthesis Method 164 9.2.1 Deriving Reproductive Solutions 165 9.2.2 Don’t Cares 167 9.2.3 Variable Removal 168 9.2.4 The Overall Algorithm 169 9.3 Other Synthesis Methods 170 9.4 Coudert and Madre’s Method 171 9.4.1 Randomization 174 9.5 Building Circuits from Relations 175 9.5.1 Computing the Weights 175 9.5.2 Computing the Assignments 176 9.5.3 Selecting the Outputs 177 9.6 Synthesis using SAT solving 177 9.7 Experimental Results 179 9.8 Summary and Discussion 181 10. CONSTRAINT DIAGNOSIS 183 10.1 The Illegal States 184 10.2 Reachability Analysis 185 10.3 Locating the Conflict Source 185 10.4 Fixing Over-constraints via Illegal States Removal 186 10.5 Summary 187 IL WORD-LEVEL CONSTRAINT SOLVING 189 11.1 DPLL-based 01-ILP 192 11.1.1 Linear Pseudo Boolean Constraints 193 11.1.2 Cutting-planes in ILP 194 xii CONSTRAINT-BASED VERIFICATION 11.1.3 A DPLL-based 01 -ILP Algorithm 196 11.2 Multi-valued Satisfiability 203 11.3 Word-level Constraint Solving 205 11.3.1 Converting RTL to Integer Linear Constraints 206 11.3.2 Propagation and Implication 211 11.3.3 Lazy Evaluation 213 11.3.4 Multiple Domain Reductions 214 11.3.5 Conflict Analysis 214 11.3.6 Arithmetic S olving 216 11.4 ATPG-based Word-level Constraint Solving 217 11.5 Randomization Consideration 220 11.6 Summary 220 Appendices 221 A Acronyms 221 B Proofs 223 B.l Proofs for Chapter 6 223 B .2 Proofs for Chapter 7 226 B.3 Proofs for Chapter 8 229 References 231 Index 247
any_adam_object 1
author Yuan, Jun
Pixley, Carl
Aziz, Adnan
author_GND (DE-588)1063224063
author_facet Yuan, Jun
Pixley, Carl
Aziz, Adnan
author_role aut
aut
aut
author_sort Yuan, Jun
author_variant j y jy
c p cp
a a aa
building Verbundindex
bvnumber BV044257913
classification_rvk ST 190
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contents Literaturverz. S. [231] - 246
ctrlnum (OCoLC)254903804
(DE-599)GBV504874292
discipline Informatik
format Book
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publishDateSearch 2006
publishDateSort 2006
publisher Springer
record_format marc
spellingShingle Yuan, Jun
Pixley, Carl
Aziz, Adnan
Constraint-based verification
Literaturverz. S. [231] - 246
Constraints (Artificial intelligence)
Digital electronicsxTesting
Electronic systemsxTesting
Electronic systemsxDesign and construction
Entwurfsautomation (DE-588)4312536-0 gnd
Constraint-Erfüllung (DE-588)4580374-2 gnd
Integrierte Schaltung (DE-588)4027242-4 gnd
Digitalelektronik (DE-588)4260328-6 gnd
Verifikation (DE-588)4135577-5 gnd
subject_GND (DE-588)4312536-0
(DE-588)4580374-2
(DE-588)4027242-4
(DE-588)4260328-6
(DE-588)4135577-5
title Constraint-based verification
title_auth Constraint-based verification
title_exact_search Constraint-based verification
title_full Constraint-based verification Jun Yuan ; Carl Pixley ; Adnan Aziz
title_fullStr Constraint-based verification Jun Yuan ; Carl Pixley ; Adnan Aziz
title_full_unstemmed Constraint-based verification Jun Yuan ; Carl Pixley ; Adnan Aziz
title_short Constraint-based verification
title_sort constraint based verification
topic Constraints (Artificial intelligence)
Digital electronicsxTesting
Electronic systemsxTesting
Electronic systemsxDesign and construction
Entwurfsautomation (DE-588)4312536-0 gnd
Constraint-Erfüllung (DE-588)4580374-2 gnd
Integrierte Schaltung (DE-588)4027242-4 gnd
Digitalelektronik (DE-588)4260328-6 gnd
Verifikation (DE-588)4135577-5 gnd
topic_facet Constraints (Artificial intelligence)
Digital electronicsxTesting
Electronic systemsxTesting
Electronic systemsxDesign and construction
Entwurfsautomation
Constraint-Erfüllung
Integrierte Schaltung
Digitalelektronik
Verifikation
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