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

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

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

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

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

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

OTTER (Organized Techniques for Theorem-proving and Effective Research) is an automated theorem prover developed by William McCune at Argonne National...

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...

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

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...

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

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...

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

international renown for his automated theorem proving program Gandalf, which won different categories of the Conference on Automated Deduction (CADE) CASC competition...

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...

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

proof-theoretic semantics, reverse mathematics, proof mining, automated theorem proving, and proof complexity. Much research also focuses on applications...

(Computer Aided Reasoning Engine) is a first-order classical logic automated theorem prover. It was initially built for the study of the enhancement effects...

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

2004 and 2005. Another application that often involves DPLL is automated theorem proving or satisfiability modulo theories (SMT), which is a SAT problem...

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...

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

Intelligence. 6: 63–72. David A. Duffy (1991). Principles of Automated Theorem Proving. New York: Wiley. ISBN 0-471-92784-8. Here: Introduction of sect...

theorem states that no consistent system of axioms whose theorems can be listed by an effective procedure (i.e. an algorithm) is capable of proving all...

for critical wounds. His research group designed the TPS, an automated theorem proving system for first-order and higher-order logic. A subsystem ETPS...

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

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

operate on other formal languages, such as in compiler writing, automated theorem proving, and formal verification. Features of ML include a call-by-value...

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