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The Y-combinator in Scott's lambda-calculus models
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Park, David (1976) The Y-combinator in Scott's lambda-calculus models. University of Warwick. Department of Computer Science. (Theory of Computation Report). (Unpublished)
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Abstract
Assume the notation and terminology of Dana Scott's paper
"Models for the Lambda-Calculus". In this note I want to exhibit the
relationship between the lambda-calculus "paradoxical operator"
Y = λx((λy.x(yy))λy.x(yy))
and the minimal fixpoint operator
Y* = λx.∞Un=0 xnΩ
obtained by regarding the lambda-calculus model as a lattice.
| Item Type: | Report |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Computer Science |
| Library of Congress Subject Headings (LCSH): | Lambda calculus |
| Series Name: | Theory of Computation Report |
| Publisher: | University of Warwick. Department of Computer Science |
| Official Date: | June 1976 |
| Number: | Number 13 |
| Number of Pages: | 8 |
| Identification Number: | CS-RR-013 |
| Institution: | University of Warwick |
| Theses Department: | Department of Computer Science |
| Status: | Not Peer Reviewed |
| Publication Status: | Unpublished |
| Access rights to Published version: | Open Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/46310 |
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