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Automated theorem proving information


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 impetus for the development of computer science.

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Automated theorem proving

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Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...

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Proof assistant

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that have been formalized within proof assistants. Automated theorem proving – Subfield of automated reasoning and mathematical logic Computer-assisted...

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Automated reasoning

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automated reasoning are automated theorem proving (and the less automated but more pragmatic subfield of interactive theorem proving) and automated proof...

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Satisfiability modulo theories

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substantial overlap between SMT solving and automated theorem proving. Generally, automated theorem provers focus on supporting full first-order logic...

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Entscheidungsproblem

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Tarski–Seidenberg theorem, which has been implemented in computers by using the cylindrical algebraic decomposition. Automated theorem proving Hilbert's second...

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Formal verification

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deductive verification (see above), abstract interpretation, automated theorem proving, type systems, and lightweight formal methods. A promising type-based...

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Conjunctive normal form

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canonical normal form, it is useful in automated theorem proving and circuit theory. In automated theorem proving, the notion "clausal normal form" is often...

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Proof by contradiction

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pawn or even a piece, but a mathematician offers the game." In automated theorem proving the method of resolution is based on proof by contradiction. That...

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Discrete mathematics

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as computer algorithms, programming languages, cryptography, automated theorem proving, and software development. Conversely, computer implementations...

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Theorem prover

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

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Proof theory

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analysis, provability logic, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications...

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Mathematical proof

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(220E(hex) = 8718(dec)). Philosophy portal Mathematics portal Automated theorem proving Invalid proof List of incomplete proofs List of long proofs List...

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Formal proof

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help of computers in interactive theorem proving (e.g., through the use of proof checker and automated theorem prover). Significantly, these proofs can...

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Formal methods

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correctness of such systems by automated means. Automated techniques fall into three general categories: Automated theorem proving, in which a system attempts...

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Rippling

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In computer science, more particularly in automated theorem proving, rippling refers to a group of meta-level heuristics, developed primarily in the Mathematical...

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Logic for Computable Functions

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Logic for Computable Functions (LCF) is an interactive automated theorem prover developed at Stanford and Edinburgh by Robin Milner and collaborators in...

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List of mathematical proofs

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theorem Goodstein's theorem Green's theorem (to do) Green's theorem when D is a simple region Heine–Borel theorem Intermediate value theorem Itô's lemma Kőnig's...

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Satisfiability

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is not decidable. In universal algebra, equational theory, and automated theorem proving, the methods of term rewriting, congruence closure and unification...

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Computational mathematics

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Computer-assisted research in various areas of mathematics, such as logic (automated theorem proving), discrete mathematics, combinatorics, number theory, and computational...

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Thousands of Problems for Theorem Provers

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for Theorem Provers) is a freely available collection of problems for automated theorem proving. It is used to evaluate the efficacy of automated reasoning...

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