Coq

E446868

dependently typed programming language functional programming language interactive theorem prover proof assistant

Coq is an interactive theorem prover and functional programming language based on dependent type theory, widely used for formally verifying mathematical proofs and software correctness.

Try in SPARQL Jump to: Surface forms Disambiguation Statements Elicitation Referenced by

All labels observed (2)

Label	Occurrences
Coq canonical	2
Coq proof assistant	2

How this entity was disambiguated

This entity first appeared as the object of triple T4493127 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.

NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07

Target entity: Coq
Context triple: [Gödel's ontological proof, verifiedIn, Coq]

A. coq gaulois
Coq gaulois is the French term for the Gallic rooster, a national emblem of France symbolizing courage, pride, and the French nation.
B. Isabelle proof assistant
Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
C. LCF theorem prover
The LCF theorem prover is an early interactive proof system that pioneered the use of higher-order logic and the LCF-style architecture, forming the conceptual basis for later provers like HOL and Isabelle.
D. OCaml
OCaml is a statically typed functional programming language from the ML family, known for its powerful type system, pattern matching, and efficient native code compilation.
E. ReasonML
ReasonML is a syntax and toolchain for the OCaml language that offers a JavaScript-friendly, type-safe alternative for building web and native applications.
F. None of above. chosen
G. Unsure - the case is ambiguous/there is not enough information to decide.

NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07

Target entity: Coq
Target entity description: Coq is an interactive theorem prover and functional programming language based on dependent type theory, widely used for formally verifying mathematical proofs and software correctness.

A. coq gaulois
Coq gaulois is the French term for the Gallic rooster, a national emblem of France symbolizing courage, pride, and the French nation.
B. Isabelle proof assistant
Isabelle proof assistant is a widely used interactive theorem prover and generic proof assistant designed for formal verification and mathematical logic, particularly known for its support of higher-order logic.
C. LCF theorem prover
The LCF theorem prover is an early interactive proof system that pioneered the use of higher-order logic and the LCF-style architecture, forming the conceptual basis for later provers like HOL and Isabelle.
D. OCaml
OCaml is a statically typed functional programming language from the ML family, known for its powerful type system, pattern matching, and efficient native code compilation.
E. ReasonML
ReasonML is a syntax and toolchain for the OCaml language that offers a JavaScript-friendly, type-safe alternative for building web and native applications.
F. None of above. chosen

Statements (56)

Predicate	Object
instanceOf	dependently typed programming language ⓘ functional programming language ⓘ interactive theorem prover ⓘ proof assistant ⓘ
basedOn	dependent type theory ⓘ
canExtractTo	Haskell NERFINISHED ⓘ OCaml NERFINISHED ⓘ Scheme ⓘ
developedBy	INRIA NERFINISHED ⓘ
developedIn	France NERFINISHED ⓘ
hasApplication	certified programming ⓘ formal verification of mathematical proofs ⓘ formal verification of software ⓘ program extraction ⓘ
hasCommunity	Coq development team NERFINISHED ⓘ Coq users community ⓘ
hasFeature	Gallina specification language NERFINISHED ⓘ Ltac tactic language ⓘ coercions ⓘ interactive proof mode ⓘ module system ⓘ notations ⓘ proof scripts ⓘ standard library ⓘ universe polymorphism ⓘ
hasInterface	Coq support in Emacs ⓘ Coq support in VS Code ⓘ Coq support in Vim ⓘ CoqIDE NERFINISHED ⓘ Proof General NERFINISHED ⓘ command-line interface ⓘ
implements	Calculus of Inductive Constructions NERFINISHED ⓘ Predicative Calculus of Inductive Constructions NERFINISHED ⓘ
initialReleaseYear	1989 ⓘ
license	LGPL NERFINISHED ⓘ
namedAfter	Thierry Coquand NERFINISHED ⓘ
repository	https://github.com/coq/coq ⓘ
supports	coinductive types ⓘ constructive logic ⓘ dependent types ⓘ extraction to functional programming languages ⓘ higher-order logic ⓘ inductive types ⓘ modules ⓘ pattern matching ⓘ proof automation ⓘ tactics ⓘ type classes ⓘ
usedFor	teaching logic ⓘ teaching type theory ⓘ
usedIn	CompCert C compiler verification ⓘ Feit–Thompson theorem formalization ⓘ Four Color Theorem formalization ⓘ Verified Software Toolchain NERFINISHED ⓘ
website	https://coq.inria.fr ⓘ
writtenIn	OCaml NERFINISHED ⓘ

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

Gödel's ontological proof → verifiedIn → Coq ⓘ

OCaml → influenced → Coq ⓘ

Christine Paulin-Mohring → notableWork → Coq ⓘ

this entity surface form: Coq proof assistant

Vampire automated theorem prover → relatedTo → Coq ⓘ