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PreprintarXiv licencearXiv

On Models of the Planar Lambda Calculus

Abstract

We construct an adjunction relating two approaches to modelling the planar lambda calculus: semi-closed operads and planar lambda-models. We use this to obtain a planar version of Scott's representation theorem.

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BibTeX
@misc{nester2026models,
  title = {{On Models of the Planar Lambda Calculus}},
  author = {Chad Nester},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.16798},
  eprint = {2609.16798},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.16798},
}
RIS
TY  - UNPB
TI  - On Models of the Planar Lambda Calculus
AU  - Chad Nester
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.16798
UR  - https://arxiv.org/abs/2609.16798
AB  - We construct an adjunction relating two approaches to modelling the planar lambda calculus: semi-closed operads and planar lambda-models. We use this to obtain a planar version of Scott's representation theorem.
ER  -