On Compositionality of Dinatural Transformations
- Submitting institution
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The University of Bath
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 188581567
- Type
- E - Conference contribution
- DOI
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-
- Title of conference / published proceedings
- 27th EACSL Annual Conference on Computer Science Logic (CSL 2018)
- First page
- 33:1
- Volume
- 119
- Issue
- -
- ISSN
- 1868-8969
- Open access status
- Compliant
- Month of publication
- August
- Year of publication
- 2018
- URL
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https://drops.dagstuhl.de/opus/volltexte/2018/9700/pdf/LIPIcs-CSL-2018-33.pdf
- Supplementary information
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- Request cross-referral to
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- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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1
- Research group(s)
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-
- Citation count
- -
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- Solves the problem, open for over 40 years, of understanding when dinatural transformations are closed under composition. Dinatural transformations are a category-theoretic notion used to model polymorphic operations of mixed variance. They are not generally closed under composition. In the 1970s Kelly began seeking a calculus of functors and transformations in many variables, but the general mixed variance case remained unsolved. We give a geometric condition under which a generalised dinatural transformations compose, and develop an appropriate composition calculus for them. A longer version is accepted for publication in the Journal of Pure and Applied Algebra.
- Author contribution statement
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- Non-English
- No
- English abstract
- -