Duration calculus: a formal approach to real-time systems
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2004
|
| Series: | Monographs in theoretical computer science
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | X, 247 S. graph. Darst. |
| ISBN: | 3540408231 |
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Record in the Search Index
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| adam_text | ZHOU CHAOCHEN MICHAEL R. HANSEN DURATION CALCULUS A FORMAL APPROACH TO
REAL-TIME SYSTEMS WITH 20 FIGURES SPRINGER CONTENTS 1. INTRODUCTION 1
1.1 REAL-TIME SYSTEMS 1 1.1.1 TWO EXAMPLES -. 1 1.1.2 REAL TIME 3 1.1.3
STATE MODELS 4 1.1.4 STATE DURATIONS 6 1.2 INTERVAL LOGIC 9 1.2.1
INTERVAL VARIABLES 9 1.2.2 INTERVAL MODALITIES 10 1.3 DURATION CALCULUS
14 1.3.1 MODELS 14 1.3.2 APPLICATIONS 18 1.3.3 TOOLS 20 1.4 BOOK
STRUCTURE 21 2. INTERVAL LOGIC 23 2.1 SYNTAX 23 2.2 SEMANTICS 24 2.3
PROOF SYSTEM 27 2.3.1 DEDUCTION 31 2.4 THEOREMS 34 3. DURATION CALCULUS
41 3.1 SYNTAX 41 3.2 SEMANTICS 41 3.3 PROOF SYSTEM 45 3.3.1 SOUNDNESS :
46 3.3.2 DEDUCTION 48 3.4 THEOREMS 51 3.5 EXAMPLE: GAS BURNER 60 3.5.1
INFORMAL ARGUMENT 60 3.5.2 PROOF 62 VIII CONTENTS 4. DEADLINE-DRIVEN
SCHEDULER 67 4.1 FORMALIZATION OF THE DEADLINE-DRIVEN SCHEDULER 67 4.1.1
SHARED PROCESSOR 68 4.1.2 PERIODIC REQUESTS AND DEADLINES 69 4.1.3
REQUIREMENT 72 4.1.4 SCHEDULER 74 4.2 LIU AND LAYLAND S THEOREM 76 5.
RELATIVE COMPLETENESS 89 5.1 IDEAS BEHIND THE PROOF 89 5.2 PROOF OF
RELATIVE COMPLETENESS 90 6. DECIDABILITY 99 6.1 DISCRETE-TIME DURATION
CALCULUS 99 6.1.1 DISCRETE TIME VERSUS CONTINUOUS TIME 100 6.1.2
EXPRESSIVENESS OF DISCRETE-TIME RDC 101 6.2 DECIDABILITY FOR DISCRETE
TIME 102 6.3 DECIDABILITY FOR CONTINUOUS TIME 106 6.4 COMPLEXITY, TOOLS
AND OTHER DECIDABLE SUBCLASSES 109 7. UNDECIDABILITY ILL 7.1 EXTENSIONS
OF RDC ILL 7.1.1 RDD(R) ILL 7.1.2 RDC 2 112 7.1.3 RDC 3 112 7.1.4
TWO-COUNTER MACHINES 113 7.2 UNDECIDABILITY OF RDCI(R) 114 7.3
UNDECIDABILITY OF RDC 2 118 7.4 UNDECIDABILITY OF RDC 3 122 8. MODEL
CHECKING: LINEAR DURATION INVARIANTS 125 8.1 EXAMPLE 126 8.2 REAL-TIME
AUTOMATA 131 8.3 LINEAR DURATION INVARIANTS 133 8.4 REDUCTION 135 8.4.1
CONGRUENT EQUIVALENCE 136 8.4.2 CLOSURE PROPERTIES OF NORMAL FORMS 141
8.4.3 AN ALGORITHM DERIVING NORMAL FORMS 142 8.4.4 INFINITE TERM 143 8.5
GENERALIZATION 143 9. STATE TRANSITIONS AND EVENTS 145 9.1 INTRODUCTION
145 9.2 TRANSITION FORMULAS 148 9.2.1 FORMULAS 1 ^, *S, 5 AND /*S 148
CONTENTS IX 9.2.2 FORMULAS |S, TS, US AND TS 150 9.2.3 EXAMPLE: NOR
CIRCUIT 152 9.3 CALCULUS FOR STATE TRANSITIONS 153 9.3.1 PROOF SYSTEM:
PART 1 154 9.3.2 PROOF SYSTEM: PART II 157 9.3.3 SOUNDNESS AND RELATIVE
COMPLETENESS 159 9.4 EXAMPLE: AUTOMATON 160 9.4.1 SPECIFICATION 161
9.4.2 VERIFICATION 162 10. SUPERDENSE STATE TRANSITIONS 165 10.1
INTRODUCTION 165 10.1.1 SUPERDENSE COMPUTATION 166 10.1.2 SUPERDENSE
CHOP 169 10.2 CALCULUS FOR SUPERDENSE STATE TRANSITIONS 170 10.2.1
SYNTAX 170 10.2.2 SEMANTICS 170 10.2.3 PROOF SYSTEM 171 10.2.4 THEOREMS
173 10.3 REAL-TIME SEMANTICS 175 10.3.1 PROGRAM NOTATION 175 10.3.2
PROGRAM STATES 176 10.3.3 PROGRAM SEMANTICS 180 10.3.4 PROGRAM
SPECIFICATION 185 11. NEIGHBORHOOD LOGIC 189 11.1 INTRODUCTION 189 11.2
SYNTAX AND SEMANTICS 191 11.3 ADEQUACY OF NEIGHBORHOOD MODALITIES 193
11.4 PROOF SYSTEM 194 11.4.1 AXIOMS AND RULES 195 11.4.2 THEOREMS 197
11.5 COMPLETENESS FOR AN ABSTRACT DOMAIN 201 11.6 NL-BASED DURATION
CALCULUS 204 11.6.1 STATE TRANSITIONS, LIVENESS AND FAIRNESS 204 11.6.2
EXAMPLE: DELAY-INSENSITIVE CIRCUITS 206 12. PROBABILISTIC DURATION
CALCULUS 209 12.1 INTRODUCTION 209 12.2 PROBABILISTIC AUTOMATA 211
12.2.1 STATE SEQUENCE 212 12.2.2 SATISFACTION PROBABILITY 213 12.3
PROBABILISTIC DURATION CALCULUS: AXIOMS AND RULES 215 12.3.1 SYNTAX 215
12.3.2 PROOF SYSTEM: PART 1 216 X CONTENTS 12.3.3 PROOF SYSTEM: PART II
218 12.4 EXAMPLE: GAS BURNER 219 12.4.1 CALCULATION OF FI(-^DES{) 220
12.4.2 CALCULATION OF N(^DES 2 ) 223 REFERENCES 227 ABBREVIATIONS 239
SYMBOL INDEX 241 INDEX 243
|
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| spelling | Zhou, Chaochen 1937- Verfasser (DE-588)128611510 aut Duration calculus a formal approach to real-time systems Zhou Chaochen ; Michael R. Hansen Berlin [u.a.] Springer 2004 X, 247 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs in theoretical computer science Includes bibliographical references and index Mathématiques - Informatique Méthodes formelles (Informatique) Temps réel Datenverarbeitung Mathematik Formal methods (Computer science) Mathematics Data processing Real-time data processing Berechnungstheorie (DE-588)4005581-4 gnd rswk-swf Formale Spezifikationstechnik (DE-588)4299725-2 gnd rswk-swf Echtzeitsystem (DE-588)4131397-5 gnd rswk-swf Zeitintervall (DE-588)4190608-1 gnd rswk-swf Temporale Logik (DE-588)4137542-7 gnd rswk-swf HOL (DE-588)4335765-9 gnd rswk-swf Echtzeitsystem (DE-588)4131397-5 s HOL (DE-588)4335765-9 s Temporale Logik (DE-588)4137542-7 s Zeitintervall (DE-588)4190608-1 s Formale Spezifikationstechnik (DE-588)4299725-2 s Berechnungstheorie (DE-588)4005581-4 s DE-604 Hansen, Michael R. 1956- Verfasser (DE-588)128611499 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010588861&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhou, Chaochen 1937- Hansen, Michael R. 1956- Duration calculus a formal approach to real-time systems Mathématiques - Informatique Méthodes formelles (Informatique) Temps réel Datenverarbeitung Mathematik Formal methods (Computer science) Mathematics Data processing Real-time data processing Berechnungstheorie (DE-588)4005581-4 gnd Formale Spezifikationstechnik (DE-588)4299725-2 gnd Echtzeitsystem (DE-588)4131397-5 gnd Zeitintervall (DE-588)4190608-1 gnd Temporale Logik (DE-588)4137542-7 gnd HOL (DE-588)4335765-9 gnd |
| subject_GND | (DE-588)4005581-4 (DE-588)4299725-2 (DE-588)4131397-5 (DE-588)4190608-1 (DE-588)4137542-7 (DE-588)4335765-9 |
| title | Duration calculus a formal approach to real-time systems |
| title_auth | Duration calculus a formal approach to real-time systems |
| title_exact_search | Duration calculus a formal approach to real-time systems |
| title_full | Duration calculus a formal approach to real-time systems Zhou Chaochen ; Michael R. Hansen |
| title_fullStr | Duration calculus a formal approach to real-time systems Zhou Chaochen ; Michael R. Hansen |
| title_full_unstemmed | Duration calculus a formal approach to real-time systems Zhou Chaochen ; Michael R. Hansen |
| title_short | Duration calculus |
| title_sort | duration calculus a formal approach to real time systems |
| title_sub | a formal approach to real-time systems |
| topic | Mathématiques - Informatique Méthodes formelles (Informatique) Temps réel Datenverarbeitung Mathematik Formal methods (Computer science) Mathematics Data processing Real-time data processing Berechnungstheorie (DE-588)4005581-4 gnd Formale Spezifikationstechnik (DE-588)4299725-2 gnd Echtzeitsystem (DE-588)4131397-5 gnd Zeitintervall (DE-588)4190608-1 gnd Temporale Logik (DE-588)4137542-7 gnd HOL (DE-588)4335765-9 gnd |
| topic_facet | Mathématiques - Informatique Méthodes formelles (Informatique) Temps réel Datenverarbeitung Mathematik Formal methods (Computer science) Mathematics Data processing Real-time data processing Berechnungstheorie Formale Spezifikationstechnik Echtzeitsystem Zeitintervall Temporale Logik HOL |
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