Types with extra structure: predicates, equations, composition

QR Code

Types with extra structure: predicates, equations, composition

Intuitionistic type theory was first introduced by Martin-Lof [1984] as a foundation for constructive mathematics and also serves as a dependently typed programming language. Dependent types provide us with a framework to reason about and guide the construction of programs by specifying both their s...

Full description

Bibliographic Details
Main Author:	Hewer, Brandon
Format:	Thesis (University of Nottingham only)
Language:	English
Published:	2024
Subjects:	type theory operads subtyping refinement types Haskell Agda cubical type theory homotopy type theory functional programming
Online Access:	https://eprints.nottingham.ac.uk/79401/

Similar Items

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

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

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

A functional specification of effects
by: Swierstra, Wouter
Published: (2009)

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

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)

Truncation levels in homotopy type theory
by: Kraus, Nicolai
Published: (2015)

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

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

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

Bootstrapping extensionality
by: Sestini, Filippo
Published: (2023)

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

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

A framework for relating, implementing and verifying argumentation models and their translations
by: van Gijzel, Bas
Published: (2016)

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

Towards safe and efficient functional reactive programming
by: Sculthorpe, Neil
Published: (2011)

Supermonads: one notion to bind them all
by: Bracker, Jan, et al.
Published: (2016)

Agent-Based Logics in Dependent Type Theory
by: Baston, Colm
Published: (2025)

Higher linear algebraic quantum field theory
by: Bruinsma, Simen
Published: (2022)

Polymonad programming in Haskell
by: Bracker, Jan, et al.
Published: (2016)

Baroque Historical Dances Lecture and Workshop by Mireia Frutos Fernandez : World Music History Lecture Series
by: Universiti Teknologi MARA, Faculty of Music
Published: (2018)

Influence of vegetation and soil types on the wheatbelt termite, Drepanotermes tamminensis (Hill), in the Western Australian wheatbelt
by: Park, H., et al.
Published: (1994)

Analysis of g s-transferase, protien tyrosine phosphatase 1B, nuclear factor kappa-B1 and leptin receptor genetic polymorphisms as risk factors for Malaysian type 2 diabetes mellitus subjects
by: Etemad, Ali
Published: (2013)

The Common Law and Taxation of Trusts in Australia in the Twenty-First Century
by: Fullarton, Alexander
Published: (2007)

On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets
by: Li, Jiawei, et al.
Published: (2018)

A Study on Relationship Between Decision-making Behaviour and Myers-Briggs Type Indicator
by: Chen, Jelico
Published: (2007)

Factors associated with glycaemic control among diabetes mellitus type 2 patients attending health clinics in Tampin district Negeri Sembilan, Malaysia
by: Wan Hamdzan, Wan Farzana Fasya
Published: (2016)

Study of bandgap property of a bilayer membrane-type metamaterial applied on a thin plate
by: GAO, Cong, et al.
Published: (2020)

The continuity of monadic stream functions
by: Capretta, Venanzio, et al.
Published: (2017)

The continuity of monadic stream functions
by: Capretta, Venanzio, et al.
Published: (2017)

Association of dietary patterns with socio-demographic, lifestyle, weight status and biochemical profiles among type 2 diabetes mellitus patients in a special Medical Center, Tehran Iran
by: Zad, Nasrin Darani
Published: (2012)

The role of C-type lectin receptors in the recognition of Pseudiminas aeruginosa
by: Alshahrani, Mohammad
Published: (2018)

Conceptualizing generalizability: New contributions and a reply
by: Allen, L., et al.
Published: (2012)

Prediction of bandgaps in membrane-type metamaterial attached to a thin plate
by: Gao, Cong, et al.
Published: (2019)

Handling uncertainty: from type-1 to interval type-2 fuzzy sets and systems
by: Aladi, Jabran
Published: (2016)

Analysis of gastrointestinal microbiota in relation to obesity and type 2 diabetes among adults
by: Kaliyappan, Roseni
Published: (2015)

Type-2 fuzzy linear systems
by: Najariyan, Marzieh, et al.
Published: (2017)

Getting goose bumps about teaching evolution
by: Foster, Colin
Published: (2014)

Determining the factors affecting consumer’s purchase intention towards foreign brands among the y-generation in the northern area of Malaysia / Etty Harniza Harun, Mahazir Ismail, Nur Aizureen Anwar
by: Harun, Etty Harniza, et al.
Published: (2014)