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Recursion and sequentiality in categories of sheaves

Abstract:
We present a fully abstract model of a call-by-value language with higher-order functions, recursion and natural numbers, as an exponential ideal in a topos. Our model is inspired by the fully abstract models of O'Hearn, Riecke and Sandholm, and Marz and Streicher. In contrast with semantics based on cpo’s, we treat recursion as just one feature in a model built by combining a choice of modular components.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.4230/LIPIcs.FSCD.2021.25

Authors


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Institution:
University of Oxford
Division:
College Only
Oxford college:
Balliol College
Role:
Author
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Institution:
University of Oxford
Division:
College Only
Oxford college:
University College
Role:
Author
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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Role:
Author


Publisher:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik
Host title:
6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)
Pages:
25:1-25:22
Series:
Leibniz International Proceedings in Informatics
Series number:
195
Place of publication:
Germany
Publication date:
2021-07-06
Acceptance date:
2021-04-19
Event title:
6th International Conference on Formal Structures for Computation and Deduction (FSCD 2021)
Event location:
Online (Buenos Aires, Argentina)
Event website:
https://fscd2021.dc.uba.ar/
Event start date:
2021-07-17
Event end date:
2021-07-24
DOI:
ISSN:
1868-8969
ISBN:
9783959771917


Language:
English
Keywords:
Pubs id:
1174255
Local pid:
pubs:1174255
Deposit date:
2021-05-05

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