Thierry Coquand
Showing 83 publications
CANONICITY AND HOMOTOPY CANONICITY FOR CUBICAL TYPE THEORY
Loop-checking and the uniform word problem for join-semilattices with an inflationary endomorphism
Constructive sheaf models of type theory
On generalized algebraic theories and categories with families
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 Presheaf Model of Parametric Type Theory
A Kripke model for simplicial sets
A generalization of the Takeuti-Gandy interpretation
A Sheaf Model of the Algebraic Closure
Revisiting Zariski Main Theorem from a constructive point of view
Recursive Functions and Constructive Mathematics
Computing persistent homology within Coq/SSReflect
A constructive version of Laplace's proof on the existence of complex roots
Dynamic Newton-Puiseux theorem
A computational interpretation of forcing in type theory
Coherent and Strongly Discrete Rings in Type Theory
A Formal Proof of the Sasaki-Murao Algorithm
Metric complements of overt closed sets
A Decision Procedure for Regular Expression Equivalence in Type Theory
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
A simple type-theoretic language: Mini-TT
A Modular Type-Checking Algorithm for Type Theory with Singleton Types and Proof Irrelevance
Constructive Krull Dimension. I: Integral Extensions
Constructive Gelfand duality for C*-algebras
Spectral schemes as ringed lattices
A note on the axiomatisation of real numbers
On the Algebraic Foundation of Proof Assistants for Intuitionistic Type Theory
Verifying a semantic βη-conversion test for martin-löf type theory
The completeness of typing for context-semantics
Towards constructive homological algebra in type theory
Untyped algorithmic equality for Martin-Löf's logical framework with surjective pairs
Normalization by Evaluation for Martin-Löf Type Theory with Equality Judgements
Preface of special issue on formal topology
A Proof of Strong Normalisation Using Domain Theory
A logical approach to abstract algebra
Remarks on the equational theory of non-normalizing pure type systems
Connecting a Logical Framework to a First-Order Logic Prover.
A logical approach to abstract algebra
Formal topology and constructive mathematics: the Gelfand and Stone-Yosida representation theorems.
A nilregular element property.
About Stone Notion of Spectrum
A Completeness Proof for Geometrical Logic
Untyped Algorithmic Equality for Martin-Löf's Logical Framework with Surjective Pairs.
A constructive proof of the Peter-Weyl theorem
An elementary characterization of Krull dimension
A Logical Framework with Dependently Typed Records.
Formalising Bitonic Sort in Type Theory
Proof-theoretical analysis of order relations
A note on measures with values in a partially ordered vector space.
Generating non noetherian modules constructively
Generating non-Noetherian modules constructively
On a theorem of Kronecker about algebraic sets
La contribution de Kolmogoroven logique intuitioniste
Sur un théorème de Kronecker concernant les variétés algébriques
A syntactical proof of the marriage lemma
Newman's lemma - a case study in proof automation and geometric logic
Inductively generated formal topologies
Compact spaces and distributive lattices
A Logical Framework with Dependently Typed Records
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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