IV Higher Order Workshop, Banff 1990: Proceedings of the IV Higher Order Workshop, Banff, Alberta, Canada 10–14 September 1990

294 Pages·1991·5.423 MB·English

by  F. Warren Burton, W. Ken Jackson (auth.), Graham Birtwistle BSc, PhD, DSc (eds.)

WORKSHOPS IN COMPUTING
Series edited by C. J. van Rijsbergen
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Graham Birtwistle (Ed.)
IV Higher Order Workshop,
Banff 1990
Proceedings of the IV Higher Order
Workshop, Banff, Alberta, Canada
10 -14 September 1990
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Published in collaboration with the , :,;;,;,-,:;-'-.,/
British Computer Society
Springer-Verlag
London Berlin Heidelberg New York
Paris Tokyo Hong Kong
Barcelona Budapest
Graham Birtwistle, BSc, PhD, DSc
Department of Computer Science
University of Calgary
2500 University Drive
Calgary, Alberta T2N 1N4
Canada
ISBN-13: 978-3-540-19660-0 e-ISBN-13:978-1-4471-3182-3
001: 10.1007/978-1-4471-3182-3
British Library Cataloguing in Publication Data,
Higher Order Workshop (4th: 1990: Banff, Canada)
Proceedings of the IV Higher Order Workshop, - (Workshops in
computing)
I. Title II. Birtwistle, Graham M. (Graham Mark), 1939- III. Series
005.1
ISBN-13: 978-3-540-19660-0
Library of Congress Cataloging-in-Publication Data
Higher Order Workshop (4th: 1990: Banff, Alberta,)
IV Higher Order Workshop, 10-14 September 1990. Banff, Canada /
Graham Birtwistle (ed.)
p. cm. - (Workshops in computing)
·Published in collaboration with the British Computer Society.·
Includes index.
ISBN-13: 978-3-540-19660-0 (alk. paper)
1. Parallel processing (Electronic computers) -Congresses 2.
Programming languages (Electronic computers)-Congresses. 3.
Automatic theorem proving-Congresses. I. Birtwistle, G.M. (Graham
M.) II. Title. III. Title: Fourth Higher Order Workshop, Banff 1990. IV.
Title: 4th Higher Order Workshop, Banff 1990 V. Series.
QA76.58.H54 1990 91-15861
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Preface
It is many years since Landin, Burge and others showed us how
to apply higher order techniques and thus laid some foundations
for modern functional programming. The advantage of higher order
descriptions - that they can be very succinct and clear - has been
percolating through ever since. Current research topics range from
the design, implementation and use of higher order proof assistants
and theorem provers, through program specification and verification,
and programming language design, to its applications in hardware
description and verification.
The papers in this book represent the presentations made at a
workshop held at Banff, Canada, September 10-14 1990 and
organised by the Computer Science Department of the University
of Calgary. The workshop gathered together researchers interested
in applying higher order techniques to a range of problems. The
workshop format had a few (but fairly long) presentations per day.
This left ample time for healthy discussion and argument, many of
which continued on into the small hours.
With so much to choose from, the program had to be selective.
This year's workshop was divided into five parts:
1. Expressing and reasoning about concurrency: Warren Burton
and Ken Jackson, John Hughes, and Faron Moller.
2. Reasoning about synchronous circuits: Geraint Jones and
Mary Sheeran (with a bonus on the fast Fourier transform from
Geraint).
3. Reasoning about asynchronous circuits: Albert Camilleri,
Jo Ebergen, and Martin Rem.
4. Categorical concepts for programming languages:
Robin Cockett, Barry Jay, and Andy Pitts.
5. Automated reasoning: Dan Craigen and Mark Saaltink,
Mike Fourman and Roberto Hexsel, and Lars Rossen.
Acknowledgements. The workshop was made possible through
an operating grant from the Natural Sciences and Engineering
vi Preface
Research Council of Canada. The workshop was held at the Banff
Centre, whose ever obliging staff made sure that everything ran
smoothly and to plan. Brian Wyvill gave a memorable talk on some
spectacular climbing on Patagonia's Cerro Torre on the final evening
to bring the event to a close. Banff National Park supplied the bear.
Graham Birtwistle
March 1991 University of Calgary
Contents
List of Authors.......................................................................... ix
Partially Deterministic Functions
F. Warren Burton and W. Ken Jackson ................................... 1
Nondeterministic Functional Programming with Sets
John Hughes and John O'Donnell........................................... 11
Algebra as a Tool for Real Time Analysis
Faron Moller.............................................................................. 32
The Study of Butterflies
Geraint Jones and Mary Sheeran............................................ 54
Sorts of Butterflies
Mary Sheeran............................................................................ 66
A Fast Flutter by the Fourier Transform
Geraint Jones.............. ............................. ................. ............... 77
Parallel Computations and Delay-Insensitive Circuits
Jo C. Ebergen................... ............ ............. ................ ............... 85
The Nature of Delay-Insensitive Computing
Martin Rem ............................................................................... 10 5
A Higher Order Logic Mechanization of the CSP
Failures-Divergence Semantics
Albert J. Camilleri............ ................... ............ ..... ..................... 123
Partial Functions, Ordered Categories, Limits and
Cartesian Closure
C. Barry Jay............ .............. .......... .......................................... 151
Evaluation Logic
Andrew M. Pitts............ .............. .......... .................................... 162
viii Contents
Conditional Control is Not Quite Categorical Control
J. Robin B. Cockett.................................................................. 190
Simple Type Theory in EVES
Mark Saaltink and Dan Craigen ................................................ 218
Formal Synthesis
Michael P. Fourman and Roberto A. Hexsel ................... ........ 245
Proving (Facts About) Ruby
Lars Rossen.............................................................................. 265
Author Index............................................................................ 285
List of Authors
F. Warren Burton
School of Computer Science, Simon Fraser University, Burnaby,
British Columbia V5A 1S 6, Canada
Albert J. Camilleri
Hewlett-Packard Laboratories, Filton Road, Stoke Gifford,
Bristol BS12 60Z, UK
J. Robin B. Cockett
School of Mathematics and Computing, Macquarie University,
New South Wales 2109, Australia
Dan Craigen
Odyssey Research Associates, 265 Carling Avenue, Suite 506,
Ottawa, Ontario K1 S 2E1, Canada
Jo C. Ebergen
Computer Science Department, University of Waterloo, Waterloo,
Ontario N2L 3G1, Canada
Michael P. Fourman
Laboratory for the Foundations of Computer Science, University of
Edinburgh, Edinburgh EH9 3JZ, UK
Roberto A. Hexsel
Laboratory for the Foundations of Computer Science, University of
Edinburgh, Edinburgh, EH9 3JZ, UK
John Hughes
Computing Science Department, University of Glasgow,
Glasgow G12 800, UK
W. Ken Jackson
School of Computer Science, Simon Fraser University, Burnaby,
British Columbia V5A 1S 6, Canada
x Ust of Authors
C. Barry Jay
Department of Computer Science, University of Edinburgh,
Edinburgh EH9 3JZ, UK
Geraint Jones
Programming Research Group, Oxford University Computing
Laboratory, 11 Keble Road, Oxford OX1 300, UK
Faron Moller
Department of Computer Science, University of Edinburgh,
Edinburgh EH9 3JZ, UK
John O'Donnell
Computing Science Department, University of Glasgow,
Glasgow G12 800, UK
Andrew M. Pitts
University of Cambridge Computer Laboratory,
New Museums Site, Pembroke Street, Cambridge CB2 30G, UK
Martin Rem
Department of Mathematics and Computer Science,
Eindhoven University of Technology, PO Box 513,
5600 MB Eindhoven, The Netherlands
Lars Rossen
Department of Computer SCience, Building 344,
Technical University of Denmark, DK-2800 Lyngby, Denmark
Mark Saaltink
Odyssey Research Associates, 265 Carling Avenue, Suite 506,
Ottawa, Ontario K1 S 2E1, Canada
Mary Sheeran
Computing Science Department, University of Glasgow,
Glasgow G12 800, UK