nLab totality space

Totality spaces

Totality spaces

Definition

A totality space is an arity space for Îș={1}\kappa=\{1\}. At least some references add the additional condition that X=⋃𝒰=⋃𝒰 ⊄X = \bigcup \mathcal{U} = \bigcup \mathcal{U}^\perp.

References

  • Loader, Ralph. Linear logic, totality and full completeness. Proceedings Ninth Annual IEEE Symposium on Logic in Computer Science (1994): 292-298.

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