mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration...

Lean is a proof assistant and a functional programming language. It is based on the calculus of constructions with inductive types. It is an open-source...

core (kernel) to increase the trustworthiness of proofs without requiring, yet supporting, explicit proof objects. Isabelle is available inside a flexible...

Nipkow; Markus Wenzel; Lawrence C. Paulson (2002). Isabelle/HOL: A Proof Assistant for Higher-Order Logic. Berlin, Heidelberg: Springer-Verlag. ISBN 978-3-540-45949-1...

mathematical assertions, mechanical checking of proofs of these assertions, assists in finding formal proofs using proof automation routines and extraction of a...

University. It is a predecessor of the Alfa, Agda, Cayenne and Coq proof assistants and dependently typed programming languages. It was the first language...

evaluation, and features such as a totality checker. Idris may be used as a proof assistant, but is designed to be a general-purpose programming language similar...

considered a new language that shares a name and tradition. Agda is also a proof assistant based on the propositions-as-types paradigm (Curry–Howard correspondence)...

LEGO is a proof assistant developed by Randy Pollack at the University of Edinburgh. It implements several type theories: the Edinburgh Logical Framework...

essentially another proof assistant for classical higher order logic. Coq Developed in France, Coq is another automated proof assistant, which can automatically...

Mathematical proof Proof assistant Proof calculus Proof theory Proof (truth) De Bruijn factor Kassios, Yannis (February 20, 2009). "Formal Proof" (PDF). cs...

Gödel's ontological proof is a formal argument by the mathematician Kurt Gödel (1906–1978) for the existence of God. The argument is in a line of development...

Matita is an experimental proof assistant under development at the Computer Science Department of the University of Bologna. It is a tool aiding the development...

computer proof assistants. Type theory is an active area of research, one direction being the development of homotopy type theory. The first computer proof assistant...

and hence consistent. The CoC has been developed alongside the Coq proof assistant. As features were added (or possible liabilities removed) to the theory...

HOL, HOL Light, and the Isabelle proof assistant that supports various logics. As of 2019, the Isabelle proof assistant still contains an implementation...

new proofs for known theorems.[citation needed] Additionally, interactive proof assistants allow mathematicians to develop human-readable proofs which...

In automated theorem proving, PhoX is a proof assistant based on higher-order logic which is eXtensible. The user gives PhoX an initial goal and guides...

for writing mathematical definitions and proofs, a proof assistant, which is able to mechanically check proofs written in this language, and a library...

computer scientist, and creator of the Z3 Theorem Prover and the Lean proof assistant during his time at Microsoft Research. He currently works at AWS and...

proof of the irrationality of the square root of two in seventeen different proof assistants. Formalized Mathematics a journal in which Mizar proofs are...

that a published proof can, in principle, be converted into a formal proof. However, outside the field of automated proof assistants, this is rarely done...

language and an associated computer program (a proof assistant) for archiving and verifying mathematical proofs. Several databases of proved theorems have...

Jape is a configurable, graphical proof assistant, originally developed by Richard Bornat at Queen Mary, University of London and Bernard Sufrin the University...

electronic programs that perform proof assistance with theorems in mathematical logic. In the 21st century, these proof assistant programs have given birth to...

make possible); and the formalization of each of these in computer proof assistants. There is a large overlap between the work referred to as homotopy...

INRIA. The compiler is specified, programmed and proven in the Rocq proof assistant. It aims to be used for programming embedded systems requiring reliability...

disjoint-set forest data structure and formalized its correctness using the proof assistant Coq. "Semi-persistent" means that previous versions of the structure...

International Airport. The Ltac tactic language embedded in the Coq proof assistant This disambiguation page lists articles associated with the title LTAC...

villages), mines, and dams Locale (Isabelle), a module of the Isabelle proof assistant Locale ('Ndrangheta), the main local organizational unit of the 'Ndrangheta...