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...

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

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

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...

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...

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

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

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

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

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...

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

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...

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

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

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

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

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

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...

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

The Theorem Proving System (TPS) is an automated theorem proving system for first-order and higher-order logic. TPS has been developed at Carnegie Mellon...

an automated theorem prover for first-order and equational logic developed by William McCune. Prover9 is the successor of the Otter theorem prover also...

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

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...

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

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...

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

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

calculus of constructions. Rocq is not an automated theorem prover but includes automatic theorem proving tactics (procedures) and various decision procedures...