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Automated theorem proving

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science.

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Logical foundations

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First-order theorem proving

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Automated theorem proving

Nodes148
Edges147
Triples29
Avg. degree1.99
Density0.013514
Components1

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Automated theorem proving

Top relations

related to First-order theorem proving · 18
Automated theorem proving → Ada, American Mathematical Society, David Luckham, First-order, In, John Alan Robinson's, More, Notable, Notices, On, One, Pascal, Stanford, Stanford Pascal Verifier, Stanford Resolution Prover, Stanford University, The, This
has application · 8
Automated theorem proving → AMD, Automated, Commercial, Intel, Isabelle/HOL, Other, Pentium FDIV, Since

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Important terminology

theorem first-order logic proof automated developed systems proving system provers problem problems prover mathematical computer first also propositional program formal

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Pascalinstance ofOne of the first fruitful areas was that of program verification whereby first-order theorem provers were applied to the problem of verifying the correctness of computer program…0.80text
Adainstance ofOne of the first fruitful areas was that of program verification whereby first-order theorem provers were applied to the problem of verifying the correctness of computer program…0.80text
etcinstance ofOne of the first fruitful areas was that of program verification whereby first-order theorem provers were applied to the problem of verifying the correctness of computer program…0.80text
Automated theorem provinghas applicationCommercial0.60section
Automated theorem provinghas applicationSince0.60section
Automated theorem provinghas applicationPentium FDIV0.60section
Automated theorem provinghas applicationAMD0.60section
Automated theorem provinghas applicationIntel0.60section
Automated theorem provinghas applicationOther0.60section
Automated theorem provinghas applicationAutomated0.60section
Automated theorem provinghas applicationIsabelle/HOL0.60section
Automated theorem provingrelated to First-order theorem provingIn0.60section

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