Abstract
We introduce the measurement idea in domain theory and then apply it to establish two fixed point theorems. The first is an extension of the Scott fixed point theorem which applies to nonmonotonic mappings. The second is a contraction principle for monotone maps that guarantees the existence of unique fixed points.
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References
S. Abramsky and A. Jung. Domain Theory. In S. Abramsky, D. M. Gabbay, T. S. E. Maibaum, editors, Handbook of Logic in Computer Science, vol. III. Oxford University Press, 1994
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K. Martin. A foundation for computation. Ph.D. thesis, Department of Mathematics, Tulane University, 2000.
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© 2000 Springer-Verlag Berlin Heidelberg
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Martin, K. (2000). The Measurement Process in Domain Theory. In: Montanari, U., Rolim, J.D.P., Welzl, E. (eds) Automata, Languages and Programming. ICALP 2000. Lecture Notes in Computer Science, vol 1853. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45022-X_11
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DOI: https://doi.org/10.1007/3-540-45022-X_11
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