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Proof assistant

In computer science and 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. This involves some sort of interactive proof editor, or other interface, with which a human can guide the search for proofs, the details of which are stored in, and…

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Overview

Automated proof checking

History

System comparison

User interfaces

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Proof assistant

Nodes56
Edges55
Triples102
Avg. degree1.96
Density0.035714
Components1

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Proof assistant

Top relations

related to System comparison · 50
Proof assistant → ACL2, An Interactive Mathematical Proof, Based, Boyer, BSD-licensed, BSD-style, Coq, ETPS, Grothendieck, Has, HOL, HOL Light, HOL4, IMPS, In, Interactive, Isabelle, Isabelle/FOL, Isabelle/HOL, Isabelle/ZF
related to External links · 28
Proof assistant → Agda UsersA, April, Archived, Automated Reasoning SystemsDatabase, By Frank Pfenning, Category, Certified Programming, Computational Logic, Coq Proof Assistant, Dependent Types, Digital Math, DMOZ, Existing Mechanized Reasoning SystemsNuPRL, February, Foundations, GroupsTheorem Proving, Implementations, Interactive Theorem Proving, Introduction, Logic
related to User interfaces · 14
Proof assistant → Edinburgh, Emacs-based Proof General, Isabelle, Isabelle/jEdit, Isabelle/Scala, Lean, Makarius Wenzel, More, Nowadays, OCaml/Gtk, Rocq, RocqIDE, University, Visual Studio Code
related to Formalization extent · 9
Proof assistant → As, Freek Wiedijk, HOL Light, Isabelle, Lean, Metamath, Mizar, Rocq, September
related to Notable formalized proofs · 1
Proof assistant → The

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Important terminology

proof theorem based proofs prover interactive automated logic system hol isabelle logical rocq checking computer proving systems assistant programming language

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Proof assistantrelated to External linksTheorem Prover Museum0.60section
Proof assistantrelated to External linksIntroduction0.60section
Proof assistantrelated to External linksCertified Programming0.60section
Proof assistantrelated to External linksDependent Types0.60section
Proof assistantrelated to External linksCoq Proof Assistant0.60section
Proof assistantrelated to External linksInteractive Theorem Proving0.60section
Proof assistantrelated to External linksAgda UsersA0.60section
Proof assistantrelated to External linksDigital Math0.60section
Proof assistantrelated to External linksCategory0.60section
Proof assistantrelated to External linksTactic ProversAutomated Deduction Systems0.60section
Proof assistantrelated to External linksGroupsTheorem Proving0.60section
Proof assistantrelated to External linksAutomated Reasoning SystemsDatabase0.60section

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