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...

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

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...

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...

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

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)...

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

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...

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

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...

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...

and hence consistent. The CoC has been developed alongside the Rocq 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...

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

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...

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...

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...

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

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

by zero, which can be handled in another part of the program. Many proof assistants, such as Coq and Lean, define 1/0 = 0. This is due to the requirement...

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

Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data. Numerical analysis and symbolic computation...

more leisurely style. A fully formal proof, checked with the Rocq proof assistant, was announced in September 2012 by Georges Gonthier and fellow researchers...

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

and verified proof. Over a 6-month period, a group led by Johan Commelin verified the central part of the proof using the proof assistant Lean. As of 14...

Theorem prover may refer to: Automated theorem prover Proof assistant, an interactive theorem prover This disambiguation page lists articles associated...