Progress in Theoretical Computer Science

The Combinatory Programme

Authors: Engeler, Erwin

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About this book

Combinatory logic started as a programme in the foundation of mathematics and in an historical context at a time when such endeavours attracted the most gifted among the mathematicians. This small volume arose under quite differ­ ent circumstances, namely within the context of reworking the mathematical foundations of computer science. I have been very lucky in finding gifted students who agreed to work with me and chose, for their Ph. D. theses, subjects that arose from my own attempts 1 to create a coherent mathematical view of these foundations. The result of this collaborative work is presented here in the hope that it does justice to the individual contributor and that the reader has a chance of judging the work as a whole. E. Engeler ETH Zurich, April 1994 lCollected in Chapter III, An Algebraization of Algorithmics, in Algorithmic Properties of Structures, Selected Papers of Erwin Engeler, World Scientific PubJ. Co. , Singapore, 1993, pp. 183-257. I Historical and Philosophical Background Erwin Engeler In the fall of 1928 a young American turned up at the Mathematical Institute of Gottingen, a mecca of mathematicians at the time; he was a young man with a dream and his name was H. B. Curry. He felt that he had the tools in hand with which to solve the problem of foundations of mathematics mice and for all. His was an approach that came to be called "formalist" and embodied that later became known as Combinatory Logic.

Table of contents (8 chapters)

  • Historical and Philosophical Background

    Engeler, Erwin

    Pages 1-12

  • Axiomatic Extensions

    Weibel, Trudy

    Pages 14-30

  • Aspects of Universal Algebra in Combinatory Logic

    Amrhein, Beatrice

    Pages 31-45

  • Remarks on an Algebraic Theory of Recursive Degrees

    Gloor, Oliver

    Pages 46-55

  • An Algebraization of Hierarchical and Recursive Distributed Processes

    Engeler, Erwin (et al.)

    Pages 58-76

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4612-4268-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-0-8176-3801-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4612-8716-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Combinatory Programme
Authors
Series Title
Progress in Theoretical Computer Science
Copyright
1995
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4268-0
DOI
10.1007/978-1-4612-4268-0
Hardcover ISBN
978-0-8176-3801-6
Softcover ISBN
978-1-4612-8716-2
Edition Number
1
Number of Pages
VIII, 144
Topics