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8 - Algorithms for equivalence and reduction to minimal form for a class of simple recursive equations

Published online by Cambridge University Press:  06 August 2010

Bruno Courcelle
Affiliation:
IRIA Laboria, Rocquencourt, France
Gilles Kahn
Affiliation:
IRIA Laboria, Rocquencourt, France
Jean Vuillemin
Affiliation:
IRIA Laboria, Rocquencourt, France
Yves Bertot
Affiliation:
INRIA-Sophia Antipolis, France
Gérard Huet
Affiliation:
Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt
Jean-Jacques Lévy
Affiliation:
Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt
Gordon Plotkin
Affiliation:
University of Edinburgh
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Summary

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Chapter
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From Semantics to Computer Science
Essays in Honour of Gilles Kahn
, pp. 169 - 184
Publisher: Cambridge University Press
Print publication year: 2009

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References

[1]B., Courcelle and J., Vuillemin, Completeness results for the equivalence of recursive schemes, Journal of Computer System Science 12:179–197, 1976.Google Scholar
[2]W.P., De Roever, Operational and mathematical semantics for first-order recursive program schemas, (private communication).
[3]J., Engelfriet, A note on infinite trees, Information Processing Letters 1:229–232, 1972.Google Scholar
[4]G., Kahn, A preliminary theory for parallel programs. (Rapport Laboria no. 6, January 1973).
[5]J., Kral, Equivalence of modes and the equivalence of finite automata, Algol Bulletin 35:34–35, 1973.Google Scholar
[6]C.H, Lewis and B. K., Rosen, Recursively defined data types: part 1. Proceedings of the 1st annual ACM SIGACT-SIGPLAN Symposium on Principles of Programming Languages, pp. 125–138. ACM, New York, 1973.Google Scholar
[7]R., Milner, Models of LCF. Stanford Computer Science Department Report. CS-332, 1973.
[8]R., Milner and R., Weyrauch, Proving compiler correctness in a mechanized logic. In B., Meltzer and D., Michie (eds), Machine Intelligence 7, pp. 51–72. Edinburgh University Press, 1972.Google Scholar
[9]M., Nivat, Sur l'interprétation des schémas de programmes monadiques. Rapport Laboria No. 1, 1972.
[10]C., Pair, Concerning the syntax of Algol 68, Algol Bulletin 31:16–27, 1970.Google Scholar
[11]D., Scott, Outline of a Mathematical Theory of Computation. Oxford Monograph PRG-2. Oxford University, 1970.Google Scholar
[12]J., Vuillemin, Proof Techniques for Recursive Programs. PhD thesis, Stanford Computer Science Department. 1973.

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