DS-1995-06:
van Wamel, Jos
(1995)
*Verification Techniques for Elementary Data Types and Retransmission Protocols.*
Doctoral thesis, University of Amsterdam.

## Abstract

The process algebra ACP (Algebra of Communicating Processes) is a formalism for

the specification and verification of parallel, communicating systems.

Recently, means for data specification were added to the theory, and a proof

theory was defined. A new formalism, muCRL (micro Common Representation

Language), forms the basis of these extensions.

The thesis contains several theoretical results, as well as applied studies,

concerning process theory and abstract data types. It is organised as follows:

Chapter 2. We start with an introduction to the relevant axiom systems, proof

rules and models from process algebra.

Chapter 3. Then some new theory useful for the verification of certain

communication protocols is developed. Our technique may be regarded as a method

for inspecting the traces of a process in an equational way.

Chapter 4. After that, a non-trivial case study in process algebra is provided

in the form of a protocol verification. It uses the techniques from the previous

chapter. Then a switch is made from pure process algebra to data types.

Chapter 5. Here the proof theory for the specification language muCRL is

presented, as well as two new, more flexible induction rules than the current

one.

It turns out that, given some data specification that satisfies certain

requirements, useful induction schemes can be proved correct from these rules.

In Chapter 6 a number of elementary data types, such as natural numbers, sets

and bags, is studied with the emphasis on induction principles and the question

how to prove elementary properties of data by induction.

Chapter 7. After that an attempt is made to show by means of some examples how

data and processes interact, and how the techniques from the previous two

chapters carry over to processes in muCRL style.

In Chapter 8 a rule for `fair abstraction' for processes with data is presented.

This rule makes it possible for a certain class of processes with data

parameters to abstract from cycles of internal actions.

Finally, in Chapter 9 a large case study is provided, where proof techniques for

data and invariants play an important role. It is meant to gather much of the

relevant knowledge in the field of protocol verification in muCRL that is

available at the moment.

An electronic version of this paper can be obtained via

ftp.fwi.uva.nl directory pub/programming-research

Item Type: | Thesis (Doctoral) |
---|---|

Report Nr: | DS-1995-06 |

Series Name: | ILLC Dissertation (DS) Series |

Year: | 1995 |

Subjects: | Language |

Depositing User: | Dr Marco Vervoort |

Date Deposited: | 14 Jun 2022 15:16 |

Last Modified: | 14 Jun 2022 15:16 |

URI: | https://eprints.illc.uva.nl/id/eprint/1979 |

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