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PreprintCC BY-NC-ND 4.0arXiv

A technical note on universal formula pcas

Abstract

We record some interesting technical caveats found when using universal formulae to formulate pcas -- namely, that there are different ways to extract a (partial) function from a definable collection of pairs, and these choices have an impact on formula complexity.

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BibTeX
@misc{wang2026technical,
  title = {{A technical note on universal formula pcas}},
  author = {Shuwei Wang},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23365},
  eprint = {2610.23365},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23365},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - A technical note on universal formula pcas
AU  - Shuwei Wang
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23365
UR  - https://arxiv.org/abs/2610.23365
AB  - We record some interesting technical caveats found when using universal formulae to formulate pcas -- namely, that there are different ways to extract a (partial) function from a definable collection of pairs, and these choices have an impact on formula complexity.
ER  -