AI Chat AI Image Generator AI Video Text to Speech

Cubical Assemblies and Independence of the Propositional Resizing Axiom

03/18/2018
∙
by   Taichi Uemura, et al.
∙
0
∙

We construct a model of cubical type theory with a univalent and impredicative universe in a category of cubical assemblies. We show that the cubical assembly model does not satisfy the propositional resizing axiom.

READ FULL TEXT

page 1

page 2

page 3

page 4

Related Research

research
∙ 03/18/2018

Cubical Assemblies and the Independence of the Propositional Resizing Axiom

We construct a model of cubical type theory with a univalent and impredi...
0 Taichi Uemura, et al. ∙
research
∙ 07/08/2019

Polymorphism and the free bicartesian closed category

We study two decidable fragments of System F, the polynomial and the Yon...
0 Paolo Pistone, et al. ∙
research
∙ 03/27/2018

Univalent polymorphism

We show that Martin Hyland's effective topos can be exhibited as the hom...
0 Benno van den Berg, et al. ∙
research
∙ 10/31/2021

Size Matters in Univalent Foundations

We investigate predicative aspects of constructive univalent foundations...
0 Tom de Jong, et al. ∙
research
∙ 10/12/2011

The Language of Search

This paper is concerned with a class of algorithms that perform exhausti...
0 A. Darwiche, et al. ∙
research
∙ 06/04/2013

First-Order Decomposition Trees

Lifting attempts to speed up probabilistic inference by exploiting symme...
0 Nima Taghipour, et al. ∙
research
∙ 03/06/2013

Incremental Probabilistic Inference

Propositional representation services such as truth maintenance systems ...
0 Bruce D'Ambrosio, et al. ∙

Please sign up or login with your details

Forgot password? Click here to reset

Out of credits

Refill your membership to continue using DeepAI

Stripe
Paypal