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Species, profunctors and Taylor expansion weighted by SMCC: a unified framework for modelling nondeterministic, probabilistic and quantum programs

Abstract:

Motivated by a tight connection between Joyal's combinatorial species and quantitative models of linear logic, this paper introduces weighted generalised species (or weighted profunctors), where weights are morphisms of a given symmetric monoidal closed category (SMCC). For each SMCC W, we show that the category of W-weighted profunctors is a Lafont category, a categorical model of linear logic with exponential. As a model of programming languages, the construction of this paper gives a unifi...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1145/3209108.3209157

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Computer Science
Oxford college:
Merton College
Role:
Author
Publisher:
Association for Computing Machinery Publisher's website
Pages:
889-898
Publication date:
2018-07-09
Acceptance date:
2018-04-03
DOI:
Pubs id:
pubs:834834
URN:
uri:126b36a8-3ea5-49d9-a7f9-1090c622d497
UUID:
uuid:126b36a8-3ea5-49d9-a7f9-1090c622d497
Local pid:
pubs:834834
ISBN:
978-1-4503-5583-4

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