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

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

First-Order Automated Theorem Proving". arXiv:1108.0155 [cs.AI]. "The CADE ATP System Competition - The World Championship for Automated Theorem Proving". Previous...

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

11 OTTER and Earlier Automated Theorem-Proving Programs". A Fascinating Country in the World of Computing: Your Guide to Automated Reasoning. World Scientific...

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

has been integrated into other theorem provers and it has been among the best-placed systems in several theorem proving competitions. E is developed by...

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

First-Order Logic and Automated Theorem Proving. Springer Science & Business Media. ISBN 978-1-4612-2360-3. "15-815 Automated Theorem Proving". www.cs.cmu.edu...

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

The Isabelle automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As a Logic for Computable Functions...

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...

Vampire is an automatic theorem prover for first-order classical logic developed in the Department of Computer Science at the University of Manchester...

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

is a German computer scientist, known for his contributions to automated theorem proving. He is Professor emeritus at Darmstadt University of Technology...

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

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

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...

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

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

unification of a variable V and a structure S to fail if S contains V. In theorem proving, unification without the occurs check can lead to unsound inference...

mathematical logic and automated theorem proving, resolution is a rule of inference leading to a refutation-complete theorem-proving technique for sentences...

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

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

paradigms of procedural, object oriented, and logic programming (automated theorem proving) languages. CLIPS uses forward chaining. Like other expert system...

EQP (Equational prover) is an automated theorem proving program for equational logic, developed by the Mathematics and Computer Science Division of the...

of Second-order Arithmetic (2016), p.6 First-order logic and automated theorem proving, Melvin Fitting, Springer, 1996 [1] Handbook of the history of...

extending ZF can prove either the completeness or compactness theorems over arbitrary (possibly uncountable) languages without also proving the ultrafilter...

logic — a cluster concept. As a normal form, it is useful in automated theorem proving. A logical formula is considered to be in DNF if it is a disjunction...

1866; Feuerbach's theorem has also been used as a test case for automated theorem proving. The three points of tangency with the excircles form the Feuerbach...