# Automated Theorem Proving

Automated theorem proving (also known as ATP or automated deduction) is the proving of mathematical theorems by a computer program. It is currently the most well-developed subfield of automated reasoning.

Read more about Automated Theorem ProvingDecidability of The Problem, Related Problems, Industrial Uses, First-order Theorem Proving, Benchmarks and Competitions, Popular Techniques, Comparison, Notable People

### Other articles related to "theorem, automated theorem proving, automated, theorems":

Robertson–Seymour Theorem - Finite Form of The Graph Minor Theorem
... Robertson Seymour (1987) showed that the following theorem exhibits the independence phenomenon by being unprovable in various formal systems that ...
Robertson–Seymour Theorem
... In graph theory, the Robertson–Seymour theorem (also called the graph minor theorem) states that the undirected graphs, partially ordered by the graph minor relationship, form a well-quasi-ordering ... minors, in the same way that Wagner's theorem characterizes the planar graphs as being the graphs that do not have the complete graph K5 and the ... The Robertson–Seymour theorem is named after mathematicians Neil Robertson and Paul D ...
Automated Theorem Proving - Notable People
... Boyer, co-author of the Boyer-Moore theorem prover, co-recipient of the Herbrand Award 1999 ... author of Otter, the first high-performance theorem prover ... Work in automated discovery of shortest axiomatic bases for logic systems ...
Automated Proof Checking
... Automated proof checking is the process of using software for checking proofs for correctness ... It is one of the most developed fields in automated reasoning ... Automated proof checking differs from automated theorem proving in that automated proof checking simply mechanically checks the formal workings of an existing proof, instead of trying to develop new ...
Formalized Account of Theorems - Derivation of A Theorem
... The notion of a theorem is very closely connected to its formal proof (also called a "derivation") ... only rule of inference (transformation rule) for is Any occurrence of "A" in a theorem may be replaced by an occurrence of the string "AB" and the ... Theorems in are defined as those formulae which have a derivation ending with that formula ...

### Famous quotes containing the words proving, automated and/or theorem:

What is
there in being able
to say that one has dominated the stream in an attitude of
self-defense;

in proving that one has had the experience
of carrying a stick?
Marianne Moore (1887–1972)

Nature is a self-made machine, more perfectly automated than any automated machine. To create something in the image of nature is to create a machine, and it was by learning the inner working of nature that man became a builder of machines.
Eric Hoffer (1902–1983)

To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.
Albert Camus (1913–1960)