Specification and Analysis of Concurrent Systems
The COSY Approach
Published on 3. September 1992
Book
Hardback
XII, 480 pages
978-3-540-55204-8 (ISBN)
Description
Concurrent systems abound in human experience but their
fully adequate conceptualization as yet eludes our most able
thinkers. The COSY (ConcurrentSystem) notation and theory
was developed in the last decade as one of a number of
mathematical approaches for conceptualizing and analyzing
concurrent and reactive systems.
The COSY approach extends theconventional notions of
grammar and automaton from formal language and automata
theory to collections of "synchronized" grammars and
automata, permitting system specification and analysis of
"true" concurrency without reduction to non-determinism.
COSY theory is developed to a great level of detail and
constitutes the first uniform and self-contained
presentationof all results about COSY published in the
past, as well as including many new results.
COSY theory is used to analyze a sufficient number of
typical problems involving concurrency, synchronization and
scheduling, to allow the reader to apply the techniques
presented tosimilar problems.
The COSY model is also related to many alternative models of
concurrency, particularly Petri Nets, Communicating
Sequential Processes and the Calculus of Communicating
Systems.
fully adequate conceptualization as yet eludes our most able
thinkers. The COSY (ConcurrentSystem) notation and theory
was developed in the last decade as one of a number of
mathematical approaches for conceptualizing and analyzing
concurrent and reactive systems.
The COSY approach extends theconventional notions of
grammar and automaton from formal language and automata
theory to collections of "synchronized" grammars and
automata, permitting system specification and analysis of
"true" concurrency without reduction to non-determinism.
COSY theory is developed to a great level of detail and
constitutes the first uniform and self-contained
presentationof all results about COSY published in the
past, as well as including many new results.
COSY theory is used to analyze a sufficient number of
typical problems involving concurrency, synchronization and
scheduling, to allow the reader to apply the techniques
presented tosimilar problems.
The COSY model is also related to many alternative models of
concurrency, particularly Petri Nets, Communicating
Sequential Processes and the Calculus of Communicating
Systems.
More details
Series
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
College/higher education
Professional and scholarly
Illustrations
128figs.
Dimensions
Height: 24.2 cm
Width: 17 cm
Weight
870 gr
ISBN-13
978-3-540-55204-8 (9783540552048)
DOI
10.1007/978-3-642-77337-2
Schweitzer Classification
Other editions
Additional editions
Book
12/2011
Springer
€106.99
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Content
1 What COSY Is and What It Is For.- 1.1 Introduction.- 1.2 Concepts, Objectives and Design Decisions.- 1.3 Structure of Bookevevr.- 1.4 Acknowledgements.- 2 Formal Theory of Basic COSY.- 2.1 Basic COSY Syntax and Semantics.- 2.2 VFS Semantics of COSY.- 2.2.1 Simple Properties of Vector Sequences.- 2.2.2 Vector Sequences and Partial Orders.- 2.2.3 Vector Sequences of Path Programs.- 2.2.4 Concurrent Product of Regular Expressions.- 2.3. Petri Net Semantics of COSY.- 2.3.1 Elements of Net Theory.- 2.3.2 VFS semantics of SMD nets.- 2.3.3 Semantics of Labelled Petri Nets.- 2.3.4 Labelled Petri Nets defined by Path Programs.- 2.3.5 Uniquely Named and Labelled Uniquely Named Regular Expressions.- 2.3.6 Labelled Nets and Products of Regular Expressions.- 2.3.7 Labelled Nets and COSY Path Programs.- 2.3.8 Other Constructions.- 2.4 Adequacy Properties of Path Programs.- 2.4.1 Syntactically Conflict-Free Path Programs.- 2.4.2 Checking Adequacy of SCF-Path Programs.- 2.4.3 Adequacy-Preserving Transformations.- Insertions Preserving Adequacy.- Deletions Preserving Adequacy.- Applications of Adequacy-Preserving Transformations.- 2.4.4 Free-Choice Path Programs.- 2.5 Execution Semantics for COSY.- 2.5.1 Execution Strategies.- 2.5.2 Maximally Concurrent Strategies.- 2.6 Semantics of COSY with Priorities.- 2.6.1 Observations and Multiple Sequences.- 2.6.2 MFS Semantics for Priority COSY.- 2.6.3 Starvation Problem.- 2.6.4 Infinite MFS and Formal Definition of Starvation.- 2.6.5 Simulation of Dynamic Priorities.- 2.6.6 VFS Semantics for Priority COSY.- 2.7 Bibliographic Notes.- 3 High-level COSY Programs and System Design.- 3.1 High-level COSY Syntax and Semantics.- 3.2 The Process Notation.- 3.3 Macro Generators for COSY Notation.- 3.3.1 The Macro Program.- 3.3.2 The Collectivisors.- 3.3.3 The Body-Replicators.- 3.3.4 Macro Paths and Macro Processes.- 3.3.5 Sequence Replicators.- 3.3.6 Left and Right Sequence Replicators.- 3.3.7 The Distributors.- 3.3.8 Expansion of Macro COSY Programs.- The Expansion of Replicators.- The Expansion of Distributors.- Expansion Theorem.- 3.4 The Semantics of Macro COSY Programs.- 3.5 The COSY Environment.- 3.5.1 The Architecture of BCS.- The BCS Analysis Mechanism.- The BCS Semantic Transformation Mechanism.- The BCS Interface.- 3.5.2 The Macro COSY Environment.- 3.6 The COSY System Dossier.- 3.7 Bibliographical Notes.- 4 COSY Applications.- 4.1 Two-Way Channel with Disconnect.- 4.1.1 Bibliographic Notes.- 4.2 The Hyperfast Banker.- 4.2.1 The Bank Director.- 4.2.2 The Vault.- 4.2.3 The Doors.- 4.2.4 The Fair Doormen.- 4.2.5 The Counters.- 4.2.6 The Clerks.- 4.2.7 The Fair Reimbursers.- 4.2.8 The Customers.- 4.2.9 Priority Constraints.- 4.2.10 Final Comment and Bibliographical Notes.- 4.3 Cigarette Smokers.- Bibliographic Notes.- 4.4 Merlin-Randell Problem of Train Journeys.- 4.4.1 Movement Graphs and Minimal Critical Patterns.- 4.4.2 COSY Specification of the Synchronization.- 4.4.3 Final Comment and Bibliographic Notes.- 4.5 Transforming Sequential Systems into Concurrent Systems.- 4.5.1 e-Paths and e-Path Programs.- 4.5.2 Concurrent e-Paths and Proper Concurrent e-Paths.- 4.5.3 Synchronized e-Path Programs.- 4.5.4 Final Comment and Bibliographic Notes.- 4.6 Modelling N-Modular Redundancy.- 4.6.1 Replicated Computation in Networks of Computing Nodes.- 4.6.2 Formal Specification.- 4.6.3 Bibliographical Notes.- 5 Comparison of COSY with Other Models.- 5.1 COSY and CCS.- 5.2 COSY and CSP.- Full COSY and Petri Nets.- 5.3.1 Uniquely Named Comma&Star-free Programs and Asymmetric Choice Nets.- 5.3.2 Priority Path Programs, Priority Nets and Inhibitor Net.- 5.4 Vector Sequences and Mazurkiewicz Traces.- 5.5 COSY and Synchronized Behaviours.- 6 Historical Perspective.- 6.1 Introduction.- 6.2 Conceptual and Methodological Framework of COSY Approach.- Appendices.- A Algebra of Relations.- B Automata and Formal Language Theory.- B.1 Strings.- B.2 Languages.- B.3 Regular Expressions and Languages.- B.4 Finite State Automata and Grammars.- C Elements of Graph Theory.- D Proofs of Theorems 2.25, 2.26 and 2.28.- E Proofs of Theorems 2.37 and 2.38.- F Proof of Theorem 2.29.- G Proof of Theorem 4.3.- H Basic COSY Notations and Macro COSY Notation.- List of Figures.- List of Algorithms.- List of Definitions.- List of Theorems.- List of Corollaries.- List of Lemmas.