Quotient inductive-inductive types

QR Code

Quotient inductive-inductive types

Higher inductive types (HITs) in Homotopy Type Theory (HoTT) allow the definition of datatypes which have constructors for equalities over the defined type. HITs generalise quotient types and allow to define types which are not sets in the sense of HoTT (i.e. do not satisfy uniqueness of equality pr...

Full description

Bibliographic Details
Main Authors:	Altenkirch, Thorsten, Capriotti, Paolo, Dijkstra, Gabe, Nordvall Forsberg, Fredrik Nordvall Forsberg
Format:	Conference or Workshop Item
Published:	2017
Online Access:	https://eprints.nottingham.ac.uk/51210/

Similar Items

Quotient inductive-inductive definitions
by: Dijkstra, Gabe
Published: (2017)

Type theory in type theory using quotient inductive types
by: Altenkirch, Thorsten, et al.
Published: (2016)

Partiality, revisited: the partiality monad as a quotient inductive-inductive type
by: Altenkirch, Thorsten, et al.
Published: (2017)

Partiality, revisited: the partiality monad as a quotient inductive-inductive type
by: Altenkirch, Thorsten, et al.
Published: (2016)

Type theory in a type theory with quotient inductive types
by: Kaposi, Ambrus
Published: (2017)

Extending homotopy type theory with strict equality
by: Altenkirch, Thorsten, et al.
Published: (2016)

Higher inductive types, inductive families, and inductive-inductive types
by: von Raumer, Jakob
Published: (2020)

Quotient types in type theory
by: Li, Nuo
Published: (2015)

Models of type theory with strict equality
by: Capriotti, Paolo
Published: (2017)

Representations of first order function types as terminal coalgebras
by: Altenkirch, Thorsten
Published: (2001)

Normalisation by evaluation for type theory, in type theory
by: Altenkirch, Thorsten, et al.
Published: (2017)

Basic concept of inductance for inductive transducers
by: Arshad, Atika, et al.
Published: (2011)

Constructions with non-recursive higher inductive types
by: Kraus, Nicolai
Published: (2016)

Normalisation by evaluation for dependent types
by: Altenkirch, Thorsten, et al.
Published: (2016)

Induction of DNA complexes by type I and type II interferons
by: Cheng, Wai Kit
Published: (2016)

A Comparison of Techniques for the Integration of Satellite Altimeter and Surface Gravity Data for Geoid Determination
by: Kirby, Jon, et al.
Published: (1998)

Free higher groups in homotopy type theory
by: Kraus, Nicolai, et al.
Published: (2018)

Towards a cubical type theory without an interval
by: Altenkirch, Thorsten, et al.
Published: (2017)

Univalent higher categories via complete semi-segal types
by: Capriotti, Paolo, et al.
Published: (2018)

Inductive sensor
by: Arshad, Atika, et al.
Published: (2011)

Analysis of mutual inductance and coupling factor of inductively coupled coils for wireless electricity
by: Nataraj, Chandrasekharan, et al.
Published: (2017)

Magnetically geared induction machines
by: Mezani, S., et al.
Published: (2015)

Norms of Deliberation: An Inductive study
by: Mansbridge, J., et al.
Published: (2006)

Norms of Deliberation: An Inductive Study
by: Mansbridge, J., et al.
Published: (2012)

Improved magnetic induction tomography
by: Turton, Logan James
Published: (2023)

Osteoporosis induction in animal model
by: Kaveh, Kamran, et al.
Published: (2010)

Responsible tourism: an inductive approach
by: Ramachandran, Sridar
Published: (2009)

Triple flat-type inductive-based oil palm fruit maturity sensor
by: Aliteh, Nor Aziana, et al.
Published: (2018)

Induction of labour: Facilitation of labour onset, prediction of success and improving the induction process / Tan Peng Chiong
by: Tan, Peng Chiong
Published: (2014)

Notions of anonymous existence in Martin-Löf type theory
by: Kraus, Nicolai, et al.
Published: (2016)

Induction of labour with Prostaglandin in previous scar
by: Ismail, Norhashimah, et al.
Published: (2017)

The role of polyadenylation in the induction of inflammatory genes
by: Gandhi, Raj D.
Published: (2017)

The induction of liver growth by peroxisome proliferators
by: Al Kholaifi, Abdullah
Published: (2008)

New mechanical labour induction kits
by: Nusee, Zalina, et al.
Published: (2019)

Analysis of inductive powering harvesting circuit
by: Ma , Li Ya, et al.
Published: (2010)

Application and case studies of magnetic induction
by: Arshad, Atika, et al.
Published: (2011)

Modeling of disc rotor induction motor
by: Muhammad , Mahbubur Rashid, et al.
Published: (2011)

Inductive power system for energy harvesting
by: Arshad, Atika, et al.
Published: (2011)

Dynamic Stability Analysis of Induction Generators
by: Seyoum, D., et al.
Published: (2004)

Induction and Plant Regeneration of Callus in Dendrobium
by: Cossall, Cynthia Psyquay
Published: (2000)