# Peter Dybjer

**Full Professor at Computing Science**

Showing 65 publications

**2023**

The extended predicative Mahlo universe in Martin-Lof type theory

**Peter Dybjer, Anton Setzer**

**2023**

Type Theory with Explicit Universe Polymorphism

**M. Bezem, Thierry Coquand, Peter Dybjer et al**

**2021**

Categories with Families: Unityped, Simply Typed, and Dependently Typed

**Simon Castellan, P. Clairambault, Peter Dybjer**

**2021**

On generalized algebraic theories and categories with families

**Marc Bezem, Thierry Coquand, Peter Dybjer et al**

**2018**

Finitary Higher Inductive Types in the Groupoid Model

**Peter Dybjer, Hugo Moeneclaey**

**2017**

Undecidability of Equality in the Free Locally Cartesian Closed Category (Extended Version)

**Simon Castellan, Pierre Clairambault, Peter Dybjer**

**2017**

Special issue on Programming with Dependent Types Editorial

**Wouter Swierstra, Peter Dybjer**

**2015**

Game semantics and normalization by evaluation

**P. Clairambault, Peter Dybjer**

**2015**

Undecidability of Equality in the Free Locally Cartesian Closed Category

**Peter Dybjer, Simon Castellan, Pierre Clairambault**

**2014**

The biequivalence of locally cartesian closed categories and Martin-Lof type theories

**P. Clairambault, Peter Dybjer**

**2012**

**Peter Dybjer, Lindström Sten, Palmgren Erik et al**

**2012**

Program Testing and the Meaning Explanations of Intuitionistic Type Theory

**Peter Dybjer**

**2012**

Combining Interactive and Automatic Reasoning in First Order Theories of Functional Programs

**Ana Bove, Peter Dybjer, Andrés Sicard-Ramírez**

**2012**

Formal neighbourhoods, combinatory Bohm trees, and untyped normalization by evaluation

**Peter Dybjer, D. Kuperberg**

**2011**

The Biequivalence of Locally Cartesian Closed Categories and Martin-Löf Type Theories

**P. Clairambault, Peter Dybjer**

**2009**

Embedding a Logical Theory of Constructions in Agda

**Ana Bove, Peter Dybjer, Andres Sicard-Ramirez**

**2009**

**Ana Bove, Peter Dybjer**

**2009**

A Brief Overview of Agda - A Functional Language with Dependent Types

**Ana Bove, Peter Dybjer, Ulf Norell**

**2008**

**Peter Dybjer, Alexandre Buisse**

**2008**

On the Algebraic Foundation of Proof Assistants for Intuitionistic Type Theory

**Andreas Abel, Thierry Coquand, Peter Dybjer**

**2008**

Towards Formalizing Categorical Models of Type Theory in Type Theory

**Alexandre Buisse, Peter Dybjer**

**2008**

Verifying a semantic βη-conversion test for martin-löf type theory

**Andreas Abel, Thierry Coquand, Peter Dybjer**

**2007**

Normalization by evaluation for Martin-Löf type theory with one universe

**Andreas Abel, Klaus Aehlig, Peter Dybjer**

**2007**

Towards formalizing categorical models of type theory in type theory

**Alexandre Buisse, Peter Dybjer**

**2007**

Normalization by Evaluation for Martin-Löf Type Theory with Equality Judgements

**Andreas Abel, Thierry Coquand, Peter Dybjer**

**2006**

**Peter Dybjer, Anton Setzer**

**2004**

Random generators for dependent types

**Peter Dybjer, Haiyan Qiao, Makoto Takeyama**

**2004**

Introduction to the Special Issue on Dependent Type Theory Meets Practical Programming

**Gilles Barthes, Peter Dybjer, Peter Thiemann**

**2004**

Verifying Haskell programs by combining testing, model checking and interactive theorem proving

**Peter Dybjer, Haiyan Qiao, Makoto Takeyama**

**2003**

Combining testing and proving in dependent type theory

**Peter Dybjer, Haiyan Qiao, Makoto Takeyama**

**2003**

Verifying Haskell programs by combining testing and proving

**Peter Dybjer, Haiyan Qiao, Makoto Takeyama**

**2003**

Induction-recursion and initial algebras

**Peter Dybjer, Anton Setzer**

**2003**

Universes for Generic Programs and Proofs in Dependent Type Theory

**Marcin Benke, Peter Dybjer, Patrik Jansson**

**2002**

Normalization and Partial Evaluation

**Peter Dybjer, Andrzej Filinski**

**2002**

**Gilles Barthe, Peter Dybjer, Luis Pinto et al**

**2001**

**Peter Dybjer, Anton Setzer**

**2001**

Normalization by evaluation for typed lambda calculus with coproducts

**Thorsten Altenkirch, Peter Dybjer, Martin Hofmann et al**

**2000**

A general formulation of simultaneous inductive-recursive definitions in type theory

**Peter Dybjer**

**2000**

**Thierry Coquand, Peter Dybjer, Bengt Nordström et al**

**1999**

A finite axiomatization of inductive-recursive definitions

**Peter Dybjer, Anton Setzer**

**1998**

Normalization and the Yoneda embedding

**Peter Dybjer, Djordje Cubric, Philip Scott**

**1997**

Intuitionistic model constructions and normalization proofs

**Peter Dybjer, Thierry Coquand**

**1997**

Representing inductively defined sets by well-orderings in Martin-Löf's type theory

**Peter Dybjer**

**1996**

A Comparison of HOL and ALF Formalizations of a Categorical Coherence Theorem

**Peter Dybjer, Ilya Beylin, Sten Agerholm**

**1996**

**Peter Dybjer, Ilya Beylin**

**1995**

**Peter Dybjer, Bengt Nordström, Jan Smith**

**1994**

Inductive definitions and type theory an introduction (preliminary version)

**Peter Dybjer, Thierry Coquand**

**1994**

**Peter Dybjer**

**1993**

Intuitionistic model constructions and normalization proofs

**Peter Dybjer, Thierry Coquand**

**1991**

Inverse image analysis generalises strictness analysis

**Peter Dybjer**

**1991**

Inductive sets and families in Martin-Löf's type theory and their set-theoretic semantics

**Peter Dybjer**

**1990**

Comparing integrated and external logics of functional programs

**Peter Dybjer**

**1990**

A Functional Programming Approach to the Specification and Verification of Concurrent Systems

**Peter Dybjer, Herbert Sander**

**1989**

**D. H. Pitt, D.E. Rydeheard, Peter Dybjer et al**

**1989**

A functional programming approach to the specification and verification of concurrent systems

**Peter Dybjer, Herbert Sander**

**1987**

**Peter Dybjer**

**1986**

Category theory and programming language semantics - an overview

**Peter Dybjer**

**1985**

Program Verification In A Logical Theory Of Constructions

**Peter Dybjer**

**1985**

Using Domain Algebras To Prove The Correctness Of A Compiler

**Peter Dybjer**

**1984**

Some results on the deductive structure of join dependencies

**Peter Dybjer**

**1984**

**Peter Dybjer**

**1983**

Towards a Unified Theory of Data Types: Some Categorical Aspects

**Peter Dybjer**

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