The Library
The Y-combinator in Scott's lambda-calculus models
Tools
Tools
Tools
Park, David (1976) The Y-combinator in Scott's lambda-calculus models. University of Warwick. Department of Computer Science. (Theory of Computation Report). (Unpublished)
|
Text
WRAP_Park_cs-rr-013.pdf - Published Version Download (353Kb) | Preview |
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 |
| 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| Status: | Not Peer Reviewed |
| Publication Status: | Unpublished |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 |
Actions (login required)
 |
View Item |
