Thierry Coquand
Showing 85 publications
Type Theory with Explicit Universe Polymorphism
Loop-checking and the uniform word problem for join-semilattices with an inflationary endomorphism
Canonicity and homotopy canonicity for cubical type theory
Constructive sheaf models of type theory
On generalized algebraic theories and categories with families
Homotopy canonicity for cubical type theory
A Normalizing Computation Rule for Propositional Extensionality in Higher-Order Minimal Logic
RING DIVIDERS AND KRULL RINGS (A CONSTRUCTIVE APPROACH)
Théorie des types dépendants et axiome d'univalence
A Kripke model for simplicial sets
A Presheaf Model of Parametric Type Theory
A generalization of the Takeuti-Gandy interpretation
A Sheaf Model of the Algebraic Closure
Recursive Functions and Constructive Mathematics
Revisiting Zariski Main Theorem from a constructive point of view
Dynamic Newton-Puiseux theorem
Computing persistent homology within Coq/SSReflect
A constructive version of Laplace's proof on the existence of complex roots
Coherent and Strongly Discrete Rings in Type Theory
A Formal Proof of the Sasaki-Murao Algorithm
A computational interpretation of forcing in type theory
A Decision Procedure for Regular Expression Equivalence in Type Theory
Metric complements of overt closed sets
Constructive Finite Free Resolutions
A Modular Type-checking algorithm for Type Theory with Singleton Types and Proof Irrelevance
A modular type-checking algorithm for type theory with singleton types
A Note on Forcing and Type Theory
Curves and coherent Prüfer rings
Constructive Gelfand duality for C*-algebras
Spectral schemes as ringed lattices
Constructive Krull Dimension. I: Integral Extensions
A simple type-theoretic language: Mini-TT
A Modular Type-Checking Algorithm for Type Theory with Singleton Types and Proof Irrelevance
On the Algebraic Foundation of Proof Assistants for Intuitionistic Type Theory
A note on the axiomatisation of real numbers
Verifying a semantic βη-conversion test for martin-löf type theory
The completeness of typing for context-semantics
Normalization by Evaluation for Martin-Löf Type Theory with Equality Judgements
Untyped algorithmic equality for Martin-Löf's logical framework with surjective pairs
Towards constructive homological algebra in type theory
A logical approach to abstract algebra
Remarks on the equational theory of non-normalizing pure type systems
Preface of special issue on formal topology
A Proof of Strong Normalisation Using Domain Theory
Untyped Algorithmic Equality for Martin-Löf's Logical Framework with Surjective Pairs.
A Completeness Proof for Geometrical Logic
A logical approach to abstract algebra
A constructive proof of the Peter-Weyl theorem
An elementary characterization of Krull dimension
About Stone Notion of Spectrum
Connecting a Logical Framework to a First-Order Logic Prover.
Formal topology and constructive mathematics: the Gelfand and Stone-Yosida representation theorems.
A Logical Framework with Dependently Typed Records.
Formalising Bitonic Sort in Type Theory
A nilregular element property.
A note on measures with values in a partially ordered vector space.
Generating non-Noetherian modules constructively
Sur un théorème de Kronecker concernant les variétés algébriques
Proof-theoretical analysis of order relations
Generating non noetherian modules constructively
La contribution de Kolmogoroven logique intuitioniste
On a theorem of Kronecker about algebraic sets
Compact spaces and distributive lattices
Inductively generated formal topologies
A Logical Framework with Dependently Typed Records
A syntactical proof of the marriage lemma
Newman's lemma - a case study in proof automation and geometric logic
Intuitionistic model constructions and normalization proofs
Inductive definitions and type theory an introduction (preliminary version)
Intuitionistic model constructions and normalization proofs
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