The Leibniz adjunction in homotopy type theory, with an application to simplicial type theory
Fuente:
arXiv
Saved in:
| Main Authors: | de Jong, Tom, Kraus, Nicolai, Ljungström, Axel |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Relating homotopy equivalences to conservativity in dependent type theories with computation axioms
by: Spadetto, Matteo
Published: (2023)
by: Spadetto, Matteo
Published: (2023)
Delooping presented groups in homotopy type theory
by: Champin, Camil, et al.
Published: (2024)
by: Champin, Camil, et al.
Published: (2024)
The $\infty$-category of $\infty$-categories in simplicial type theory
by: Gratzer, Daniel, et al.
Published: (2026)
by: Gratzer, Daniel, et al.
Published: (2026)
Homotopy type theory as a language for diagrams of $\infty$-logoses
by: Uemura, Taichi
Published: (2022)
by: Uemura, Taichi
Published: (2022)
Formalizing two-level type theory with cofibrant exo-nat
by: Uskuplu, Elif
Published: (2023)
by: Uskuplu, Elif
Published: (2023)
Yet another cubical type theory, but via a semantic approach
by: Kapulkin, Chris, et al.
Published: (2025)
by: Kapulkin, Chris, et al.
Published: (2025)
Semantics of multimodal adjoint type theory
by: Shulman, Michael
Published: (2023)
by: Shulman, Michael
Published: (2023)
A type theory for invertibility in weak $ω$-categories
by: Benjamin, Thibaut, et al.
Published: (2026)
by: Benjamin, Thibaut, et al.
Published: (2026)
Formalization of dependent type theory: The example of CaTT
by: Benjamin, Thibaut
Published: (2021)
by: Benjamin, Thibaut
Published: (2021)
Monoidal weak omega-categories as models of a type theory
by: Benjamin, Thibaut
Published: (2021)
by: Benjamin, Thibaut
Published: (2021)
Globular weak $ω$-categories as models of a type theory
by: Benjamin, Thibaut, et al.
Published: (2021)
by: Benjamin, Thibaut, et al.
Published: (2021)
Stable first order theories as simplicial profinite sets
by: Gavrilovich, Misha
Published: (2025)
by: Gavrilovich, Misha
Published: (2025)
A 2-adjunction between representations and preorder morphisms
by: Brunet, Paul
Published: (2026)
by: Brunet, Paul
Published: (2026)
A categorical perspective on constraint satisfaction: The wonderland of adjunctions
by: Hadek, Maximilian, et al.
Published: (2025)
by: Hadek, Maximilian, et al.
Published: (2025)
Extensional concepts in intensional type theory, revisited
by: Kapulkin, Chris, et al.
Published: (2023)
by: Kapulkin, Chris, et al.
Published: (2023)
Combining fixpoint and differentiation theory
by: Galal, Zeinab, et al.
Published: (2024)
by: Galal, Zeinab, et al.
Published: (2024)
Strict Rezk completions of models of HoTT and homotopy canonicity
by: Bocquet, Rafaël
Published: (2023)
by: Bocquet, Rafaël
Published: (2023)
Naturality for higher-dimensional path types
by: Benjamin, Thibaut, et al.
Published: (2025)
by: Benjamin, Thibaut, et al.
Published: (2025)
homotopy.io: a proof assistant for finitely-presented globular $n$-categories
by: Corbyn, Nathan, et al.
Published: (2024)
by: Corbyn, Nathan, et al.
Published: (2024)
Tensorial structure of the lifting doctrine in constructive domain theory
by: Sterling, Jonathan
Published: (2023)
by: Sterling, Jonathan
Published: (2023)
A type-theoretic approach to semistrict higher categories
by: Rice, Alex
Published: (2025)
by: Rice, Alex
Published: (2025)
Generalized Chevalley criteria in simplicial homotopy type theory
by: Weinberger, Jonathan
Published: (2024)
by: Weinberger, Jonathan
Published: (2024)
On the Axioms of Arboreal Categories
by: Jakl, Tomáš, et al.
Published: (2026)
by: Jakl, Tomáš, et al.
Published: (2026)
Topological Dualities for Modal Algebras
by: Collinson, Matthew
Published: (2026)
by: Collinson, Matthew
Published: (2026)
Topologically valued transition structures
by: Collinson, Matthew
Published: (2026)
by: Collinson, Matthew
Published: (2026)
Effectful Toposes and Their Lawvere-Tierney Topologies
by: Yamada, Rinta
Published: (2026)
by: Yamada, Rinta
Published: (2026)
Comodule Representations of Second-Order Functionals
by: Ahman, Danel, et al.
Published: (2024)
by: Ahman, Danel, et al.
Published: (2024)
A categorical formulation of Kraus' paradox
by: Swan, Andrew W.
Published: (2024)
by: Swan, Andrew W.
Published: (2024)
Distributive Laws of Monadic Containers
by: Purdy, Chris, et al.
Published: (2025)
by: Purdy, Chris, et al.
Published: (2025)
Equivalence and Conditional Independence in Atomic Sheaf Logic
by: Simpson, Alex
Published: (2024)
by: Simpson, Alex
Published: (2024)
Groupoidal Realizability for Intensional Type Theory
by: Speight, Sam
Published: (2024)
by: Speight, Sam
Published: (2024)
Context, Judgement, Deduction
by: Coraglia, Greta, et al.
Published: (2021)
by: Coraglia, Greta, et al.
Published: (2021)
A General Probabilistic Framework in IMALL: A Concrete Categorical Perspective
by: Díaz-Caro, Alejandro, et al.
Published: (2023)
by: Díaz-Caro, Alejandro, et al.
Published: (2023)
Impredicative Encodings of (Higher) Inductive Types
by: Awodey, Steve, et al.
Published: (2018)
by: Awodey, Steve, et al.
Published: (2018)
An Introduction to Categorical Proof Theory
by: Tabatabai, Amirhossein Akbar
Published: (2024)
by: Tabatabai, Amirhossein Akbar
Published: (2024)
Linear Arboreal Categories
by: Abramsky, Samson, et al.
Published: (2023)
by: Abramsky, Samson, et al.
Published: (2023)
Many-valued coalgebraic logic over semi-primal varieties
by: Kurz, Alexander, et al.
Published: (2023)
by: Kurz, Alexander, et al.
Published: (2023)
Cauchy-completions and the rule of unique choice in relational doctrines
by: Dagnino, Francesco, et al.
Published: (2024)
by: Dagnino, Francesco, et al.
Published: (2024)
Coslice Colimits in Homotopy Type Theory
by: Hart, Perry, et al.
Published: (2024)
by: Hart, Perry, et al.
Published: (2024)
(Pointed) Univalence in Universe Category Models of Type Theory
by: Kapulkin, Chris, et al.
Published: (2025)
by: Kapulkin, Chris, et al.
Published: (2025)
Similar Items
-
Relating homotopy equivalences to conservativity in dependent type theories with computation axioms
by: Spadetto, Matteo
Published: (2023) -
Delooping presented groups in homotopy type theory
by: Champin, Camil, et al.
Published: (2024) -
The $\infty$-category of $\infty$-categories in simplicial type theory
by: Gratzer, Daniel, et al.
Published: (2026) -
Homotopy type theory as a language for diagrams of $\infty$-logoses
by: Uemura, Taichi
Published: (2022) -
Formalizing two-level type theory with cofibrant exo-nat
by: Uskuplu, Elif
Published: (2023)