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Preface | ||
Pt. I | An introduction to Network Algebra | |
Brief overview of the key results | 3 | |
1 | Network Algebra and its applications | 17 |
Pt. II | Relations, flownomials, and abstract networks | |
2 | Networks modulo graph isomorphism | 57 |
3 | Algebraic models for branching constants | 91 |
4 | Network behaviour | 123 |
5 | Elgot theories | 147 |
6 | Kleene theories | 169 |
Pt. III | Algebraic theory of special networks | |
7 | Flowchart schemes | 197 |
8 | Automata | 223 |
9 | Process algebra | 249 |
10 | Data-flow networks | 275 |
11 | Petri nets | 305 |
Pt. IV | Towards an algebraic theory for software components | |
12 | Mixed Network Algebra | 323 |
Related calculi, closing remarks | 351 | |
App. A | Equivalent BNA presentation (LR-flows) | 353 |
App. B | Lifting BNA from connections to networks | 359 |
App. C | Demonic relation operators | 362 |
App. D | Generating congruences | 368 |
App. E | Automata, complements | 369 |
App. F | Data-flow networks; checking NA axioms | 371 |
App. G | Axiomatizing mixed relations | 373 |
App. H | Discats as sysecats | 375 |
App. I | Decomposing morphisms in discats | 377 |
App. J | Plans as free discats | 379 |
Bibliography | 381 | |
List of tables | 391 | |
List of figures | 393 | |
Index | 395 |
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