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Showing 1 to 3 of 3 for “"normalisation-by-evaluation"”.
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Formal ᴘ‑Category Theory and Normalisation for Simple Type Theory
… a ᴘ‑categorical analysis and synthesis of normalisation by evaluation for simple type theory. ᴘ‑category theory was introduced as a non-standard categorical framework for phrasing the normalisation by Yoneda embedding result of Čubrić et al. (1998). They provide only a minimal collection of …
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Cartesian closed bicategories: type theory and coherence
… and the proof that it satisfies a form of normalisation I call local coherence. I synthesise the type theory from algebraic principles using a novel generalisation of the (multisorted) abstract clones of universal algebra, called biclones. The result brings together two extensions of the …
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A type-theoretic approach to semistrict higher categories
… globular weak ∞-categories, which was introduced by Finster and Mimram. Adding equality to this theory causes the models to exhibit semistrict behaviour, trivialising some operations while leaving others weak. The framework consists of a generalisation of Catt extended with an equality relation …