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The research described in this monograph concerns the formal specification and compositional verification of real-time systems. A real-time programminglanguage is considered in which concurrent processes communicate by synchronous message passing along unidirectional channels. To specifiy functional and timing properties of programs, two formalisms are investigated: one using a real-time version of temporal logic, called Metric Temporal Logic, and another which is basedon extended Hoare triples. Metric Temporal Logic provides a concise notationto express timing properties and to axiomatize the programming language, whereas Hoare-style formulae are especially convenient for the verification of sequential constructs. For both approaches a compositional proof system has been formulated to verify that a program satisfies a specification. To deduce timing properties of programs, first maximal parallelism is assumed, modeling the situation in which each process has itsown processor. Next, this model is generalized to multiprogramming where several processes may share a processor and scheduling is based on priorities. The proof systems are shown to be sound and relatively complete with respect to a denotational semantics of the programming language. The theory is illustrated by an example of a watchdog timer.
Specification [--] We present two conservative extensions of temporal logic that allow for the specification of timing constraints: while timed temporal logic provides access to time through a novel kind of time quantifier, metric temporal logic refers to time through time-bounded versions of the temporal operators. We justify our choice of specification languages by developing a general framework for the classification of real-time logics according to their complexity and expressive power.
The research described in this monograph concerns the formal specification and compositional verification of real-time systems. A real-time programminglanguage is considered in which concurrent processes communicate by synchronous message passing along unidirectional channels. To specifiy functional and timing properties of programs, two formalisms are investigated: one using a real-time version of temporal logic, called Metric Temporal Logic, and another which is basedon extended Hoare triples. Metric Temporal Logic provides a concise notationto express timing properties and to axiomatize the programming language, whereas Hoare-style formulae are especially convenient for the verification of sequential constructs. For both approaches a compositional proof system has been formulated to verify that a program satisfies a specification. To deduce timing properties of programs, first maximal parallelism is assumed, modeling the situation in which each process has itsown processor. Next, this model is generalized to multiprogramming where several processes may share a processor and scheduling is based on priorities. The proof systems are shown to be sound and relatively complete with respect to a denotational semantics of the programming language. The theory is illustrated by an example of a watchdog timer.
Pt. I. Real time systems - background. 1. Real time system characteristics. 1.1. Real-time and reactive programs. 2. Formal program development methodologies. 2.1. Requirement specification. 2.2. System specifications. 3. Characteristics of real-time languages. 3.1. Modelling features of real-time languages. 3.2. A look at classes of real-time languages. 4. Programming characteristics of reactive systems. 4.1. Execution of reactive programs. 4.2. Perfect synchrony hypothesis. 4.3. Multiform notion of time. 4.4. Logical concurrency and broadcast communication. 4.5. Determinism and causality -- pt. II. Synchronous languages. 5. ESTEREL language : structure. 5.1. Top level structure. 5.2. ESTEREL statements. 5.3. Illustrations of ESTEREL program behaviour. 5.4. Causality problems. 5.5. A historical perspective. 6. Program development in ESTEREL. 6.1. A simulation environment. 6.2. Verification environment. 7. Programming controllers in ESTEREL. 7.1. Auto controllers. 8. Asynchronous interaction in ESTEREL -- 9. Futurebus arbitration protocol : a case study. 9.1. Arbitration process. 9.2. Abstraction of the protocol. 9.3. Solution in ESTEREL -- 10. Semantics of ESTEREL. 10.1. Semantic structure. 10.2. Transition rules. 10.3. Illustrative examples. 10.4. Discussions. 10.5. Semantics of Esterel with exec -- pt. III. Other synchronous languages. 11. Synchronous language LUSTRE. 11.1. An overview of LUSTRE. 11.2. Flows and streams. 11.3. Equations, variables and expressions. 11.4. Program structure. 11.5. Arrays in LUSTRE. 11.6. Further examples. 12. Modelling Time-Triggered Protocol (TTP) in LUSTRE. 12.1. Time-triggered protocol. 12.2. Modelling TTP in LUSTRE. 13. Synchronous language ARGOS. 13.1. ARGOS constructs. 13.2. Illustrative example. 13.3. Discussions -- pt. IV. Verification of synchronous programs. 14. Verification of ESTEREL programs. 14.1. Transition system based verificationy of ESTEREL Programs. 14.2. ESTEREL transition system. 14.3. Temporal logic based verification. 14.4. Observer-based verification. 14.5. First order logic based verification. 15. Observer based verification of simple LUSTRE programs. 15.1. A simple auto controller. 15.2. A complex controller. 15.3. A cruise controller. 15.4. A train controller. 15.5. A mine pump controller -- pt. V. Integration of synchrony and asynchrony. 16. Communicating reactive processes. 16.1. An overview of CRP. 16.2. Communicating reactive processes : structure. 16.3. Behavioural semantics of CRP. 16.4. An illustrative example : banker teller machine. 16.5. Implementation of CRP. 17. Semantics of communicating reactive processes. 17.1. A brief overview of CSP. 17.2. Translation of CSP to CRP. 17.3. Cooperation of CRP nodes. 17.4. Ready-trace semantics of CRP. 17.5. Ready-trace semantics of CSP. 17.6. Extracting CSP ready-trace semantics from CRP semantics. 17.7. Correctness of the translation. 17.8. Translation into MEIJE process calculus. 18. Communicating reactive state machines. 18.1. CRSM constructs. 18.2. Semantics of CRSM. 19. Multiclock ESTEREL. 19.1. Need for a multiclock synchronous paradigm. 19.2. Informal introduction. 19.3. Formal semantics. 19.4. Embedding CRP. 19.5. Modelling a VHDL subset. 19.6. Discussion. 20. Modelling real-time systems in ESTEREL. 20.1. Interpretation of a global clock in terms of exec. 20.2. Modelling real-time requirements. 21. Putting it together
This text provides an account of real-time systems. The presentation makes use of recent research demonstrating the effectiveness and applicability of mathematically-based methods for real-time system design. Each chapter focuses on a particular technique, and examples help reinforce the theory.
The first book to provide a comprehensive overview of the subject rather than a collection of papers. The author is a recognized authority in the field as well as an outstanding teacher lauded for his ability to convey these concepts clearly to many different audiences. A handy reference for practitioners in the field.
This volume presents the latest research worldwide on communications protocols, emphasizing specification and compliance testing. It presents the complete proceedings of the fifteenth meeting on `Protocol Specification, Testing and Verification' arranged by the International Federation for Information Processing.
This title is devoted to presenting some of the most important concepts and techniques for describing real-time systems and analyzing their behavior in order to enable the designer to achieve guarantees of temporal correctness. Topics addressed include mathematical models of real-time systems and associated formal verification techniques such as model checking, probabilistic modeling and verification, programming and description languages, and validation approaches based on testing. With contributions from authors who are experts in their respective fields, this will provide the reader with the state of the art in formal verification of real-time systems and an overview of available software tools.
Errata, detected in Taylor's Logarithms. London: 4to, 1792. [sic] 14.18.3 6 Kk Co-sine of 3398 3298 - Nautical Almanac (1832) In the list of ERRATA detected in Taylor's Logarithms, for cos. 4° 18'3", read cos. 14° 18'2". - Nautical Almanac (1833) ERRATUM ofthe ERRATUM ofthe ERRATA of TAYLOR'S Logarithms. For cos. 4° 18'3", read cos. 14° 18' 3". - Nautical Almanac (1836) In the 1820s, an Englishman named Charles Babbage designed and partly built a calculating machine originally intended for use in deriving and printing logarithmic and other tables used in the shipping industry. At that time, such tables were often inaccurate, copied carelessly, and had been instrumental in causing a number of maritime disasters. Babbage's machine, called a 'Difference Engine' because it performed its cal culations using the principle of partial differences, was intended to substantially reduce the number of errors made by humans calculating the tables. Babbage had also designed (but never built) a forerunner of the modern printer, which would also reduce the number of errors admitted during the transcription of the results. Nowadays, a system implemented to perform the function of Babbage's engine would be classed as safety-critical. That is, the failure of the system to produce correct results could result in the loss of human life, mass destruction of property (in the form of ships and cargo) as well as financial losses and loss of competitive advantage for the shipping firm.