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DOI: 10.4230/LIPIcs.FSCD.2017.20
URN: urn:nbn:de:0030-drops-77236
URL: https://drops.dagstuhl.de/opus/volltexte/2017/7723/
Intrigila, Benedetto ; Manzonetto, Giulio ; Polonsky, Andrew
Refutation of Sallé's Longstanding Conjecture
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Abstract
The lambda-calculus possesses a strong notion of extensionality, called "the omega-rule", which has been the subject of many investigations. It is a longstanding open problem whether the equivalence obtained by closing the theory of Böhm trees under the omega-rule is strictly included in Morris's original observational theory, as conjectured by Sallé in the seventies. In a recent work, Breuvart et al. have shown that Morris's theory satisfies the omega-rule. In this paper we demonstrate that the two aforementioned theories actually coincide, thus disproving Sallé's conjecture.
BibTeX - Entry
@InProceedings{intrigila_et_al:LIPIcs:2017:7723,
author = {Benedetto Intrigila and Giulio Manzonetto and Andrew Polonsky},
title = {{Refutation of Sall{\'e}'s Longstanding Conjecture}},
booktitle = {2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)},
pages = {20:1--20:18},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-047-7},
ISSN = {1868-8969},
year = {2017},
volume = {84},
editor = {Dale Miller},
publisher = {Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
address = {Dagstuhl, Germany},
URL = {http://drops.dagstuhl.de/opus/volltexte/2017/7723},
URN = {urn:nbn:de:0030-drops-77236},
doi = {10.4230/LIPIcs.FSCD.2017.20},
annote = {Keywords: lambda calculus, observational equivalence, B{\"o}hm trees, omega-rule}
}
| Keywords: | lambda calculus, observational equivalence, Böhm trees, omega-rule | |
| Seminar: | 2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017) | |
| Issue date: | 2017 | |
| Date of publication: | 30.08.2017 |
