By Gerard Huet, G. Plotkin
ISBN-10: 0521413001
ISBN-13: 9780521413008
This quantity comprises the complaints of the 1st overseas workshop on Logical Frameworks. The contributions are concerned about the applying of logical reasoning and evidence thought in machine technology and their relevance to automatic-theorem proving and therefore themes akin to man made intelligence. it's the merely resource for a lot of this fabric and may be an important buy for mathematicians and desktop scientists project study on the interface of good judgment and software program engineering.
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Sample text
Strengthening the frame Over the years there has been the tendency to put more and more power into frames, at the price of impurities of the typed lambda calculus. This already started with the early versions of Automath (AUT68 and AUT-QE, see [3], [6], [13]) which were very advanced for their time (around 1968) in the sense that the frames were light and that almost all logical and mathematical knowledge was to be developed in the books. Nevertheless there was the impurity of so-called type inclusion (see section 4).
Implementing Mathematics with the Proof Development System. Prentice-Hall, 1986. [9] Peter Dybjer. In Functional Lecture Notes 1985. Revised NUPRL Program verification in a logical theory of constructions. Programming Languages and Computer Architectures, in Computer Science, Vol. No. SOI, Springer Verlag, Version, Preprint June, 1986. Bibliography 39 [10] Peter Dybjer and Herbert Sander. A functional programming approach to the specification and verification of concurrent systems. Formal Aspects of Computing, 1:303-319, 1989.
The strength of Martin-L6f's type theory with one universe. In The Proceedings of the Symposium on Mathematical Logic, Oulu, Report No. 2, pages 1-32, Department of Philosophy, University of Helsinki, 1977. [2] Peter Aczel. Frege structures and the notions of proposition, truth and set. In Keisler Barwise and Kunen, editors, The Kleene Symposium, pages 31-59. North Holland, 1980. [3] Peter Aczel. Frege structures revisited. Notes and Abstracts from the workshop on Semantics of Programming Languages, Gothenburg, pp 5-14, August 1983.