Subfield of automated reasoning and mathematical logic
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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that have been formalized within proof assistants. Automatedtheoremproving – Subfield of automated reasoning and mathematical logic Computer-assisted...
automated reasoning are automatedtheoremproving (and the less automated but more pragmatic subfield of interactive theoremproving) and automated proof...
Tarski–Seidenberg theorem, which has been implemented in computers by using the cylindrical algebraic decomposition. Automatedtheoremproving Hilbert's second...
deductive verification (see above), abstract interpretation, automatedtheoremproving, type systems, and lightweight formal methods. A promising type-based...
canonical normal form, it is useful in automatedtheoremproving and circuit theory. In automatedtheoremproving, the notion "clausal normal form" is often...
pawn or even a piece, but a mathematician offers the game." In automatedtheoremproving the method of resolution is based on proof by contradiction. That...
analysis, provability logic, reverse mathematics, proof mining, automatedtheoremproving, and proof complexity. Much research also focuses on applications...
(220E(hex) = 8718(dec)). Philosophy portal Mathematics portal Automatedtheoremproving Invalid proof List of incomplete proofs List of long proofs List...
help of computers in interactive theoremproving (e.g., through the use of proof checker and automatedtheoremprover). Significantly, these proofs can...
correctness of such systems by automated means. Automated techniques fall into three general categories: Automatedtheoremproving, in which a system attempts...
In computer science, more particularly in automatedtheoremproving, rippling refers to a group of meta-level heuristics, developed primarily in the Mathematical...
Logic for Computable Functions (LCF) is an interactive automatedtheoremprover developed at Stanford and Edinburgh by Robin Milner and collaborators in...
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...
is not decidable. In universal algebra, equational theory, and automatedtheoremproving, the methods of term rewriting, congruence closure and unification...
Computer-assisted research in various areas of mathematics, such as logic (automatedtheoremproving), discrete mathematics, combinatorics, number theory, and computational...
for TheoremProvers) is a freely available collection of problems for automatedtheoremproving. It is used to evaluate the efficacy of automated reasoning...