MUSCADET: An automatic theorem proving system using knowledge and metaknowledge in mathematics

Pastre, Dominique

doi:10.1016/0004-3702(89)90035-0

Cited by 14 publications

(2 citation statements)

References 27 publications

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“…And the proofs of theorems in resolution style are not readable, many people want to transform their proofs in other style into proofs in antural deduction style [2]. Recently many peolpe reseach non-resolution theorem proving [2,3,5,9,10], and specially natural deduction [5,9,10]. We have implemented an automatic natural deduction proving system {we call it ANDP system} by programming our unification algorithm.…”

Section: Introductionmentioning

confidence: 99%

A natural deduction automated theorem proving system

1992

Automated Deduction—CADE-11

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Recently many people are researching the natural deduction system adapted from Gentzen system, it need not transform formulas into other normal form. Robinson's unification algorithm only uses the substitution rule, therefore it can't be used to handle formulas with quantifiers, we concluded an algorithm which can treat any wits with quantifiers, that is , given two wffs, the algorithm tries to apply the rules for quantifiers to them to test if they become equal. The automatic natural deduction proving system based on our algorithm has been implemented, the Andrews Challeges, Bledsoe Challenges and Pelletier Challenges were proved by our system.

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Section: Introductionmentioning

confidence: 99%

A natural deduction automated theorem proving system

1992

Automated Deduction—CADE-11

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“…The system is also able to work with second order statements. It may also receive knowledge and know-how for a specific domain from a human user; see [68] and [69]. These two possibilities are not used while working with the TPTP Library.…”

Section: Strategiesmentioning

confidence: 99%

Proceedings of the 6th IJCAR ATP System Competition (CASC-J6)

Sutcliffe¹

EPiC Series in Computing

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The CADE ATP System Competition (CASC) evaluates the performance of sound, fully automatic, classical logic, ATP systems. The evaluation is in terms of the number of problems solved, the number of acceptable proofs and models produced, and the average runtime for problems solved, in the context of a bounded number of eligible problems chosen from the TPTP problem library, and specified time limits on solution attempts. The 6th IJCAR ATP System Competition (CASC-J6) was held on 24th and 28th June 2012. The design of the competition and its rules, and information regarding the competing systems, are provided in this report.

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Muscadet 2.3: A Knowledge-Based Theorem Prover Based on Natural Deduction

Pastre

2001

Automated Reasoning

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MUSCADET: An automatic theorem proving system using knowledge and metaknowledge in mathematics

Cited by 14 publications

References 27 publications

A natural deduction automated theorem proving system

A natural deduction automated theorem proving system

Proceedings of the 6th IJCAR ATP System Competition (CASC-J6)

Muscadet 2.3: A Knowledge-Based Theorem Prover Based on Natural Deduction

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