E is a high-performance theorem prover for full first-order logic with equality. It is based on the equational superposition calculus and uses a purely...

is allowed to be infinite enumerable. It follows that an automated theorem prover will fail to terminate while searching for a proof precisely when the...

computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by...

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

Isabelle automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala. As an LCF-style theorem prover, it is based...

Android E (PC DOS), a text editor E (programming language), an object-oriented programming language E (theorem prover), a modern, high performance prover for...

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

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

Lindemann–Weierstrass theorem is a result that is very useful in establishing the transcendence of numbers. It states the following: Lindemann–Weierstrass theorem — if...

SNARK, (SRI's New Automated Reasoning Kit), is a theorem prover for multi-sorted first-order logic intended for applications in artificial intelligence...

Nqthm is a theorem prover sometimes referred to as the Boyer–Moore theorem prover. It was a precursor to ACL2. The system was developed by Robert S. Boyer...

In number theory, Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a, b...

Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer. It states that for any continuous function f...

deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems. In mainstream mathematics, the axioms...

theorem, it provides a proof for Fermat's Last Theorem. Both Fermat's Last Theorem and the modularity theorem were believed to be impossible to prove...

and Richard Taylor proved the modularity theorem for semistable elliptic curves, which was enough to imply Fermat's Last Theorem. Later, a series of...

The Larch Prover, or LP for short, is an interactive theorem proving system for multi-sorted first-order logic. It was used at MIT and elsewhere during...

fundamental theorem of Galois theory is a result that describes the structure of certain types of field extensions in relation to groups. It was proved by Évariste...

ALF proof editor and its proof engine". Thorsten Altenkirch, Veronica Gaspes, Bengt Nordström and Björn von Sydow. "A user's guide to ALF". Alfa v t e...

Vreeswijk, which is about a hen named Agda. This alludes to the name of the theorem prover Coq, which was named after Thierry Coquand. The main way of defining...

the Isabelle theorem prover. Other proofs are also known. Gödel's incompleteness theorems Original proof of Gödel's completeness theorem Gödel, K (1929)...

Carnegie Mellon University. An educational version of it is known as ETPS (Educational Theorem Proving System). Theorem Proving System web page v t e...

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...

In differential geometry, the Atiyah–Singer index theorem, proved by Michael Atiyah and Isadore Singer (1963), states that for an elliptic differential...

well-quasi-ordered under homeomorphic embedding. The theorem was conjectured by Andrew Vázsonyi and proved by Joseph Kruskal (1960); a short proof was given...

if s >e l in the encompassment ordering, or s and l are literally similar and t > r. The following example run, obtained from the E theorem prover, computes...

argumentation system that is more specific than being just an automated theorem prover. Tools and techniques of automated reasoning include the classical logics...

Interactive Theorem Proving (ITP) is an annual international academic conference on the topic of automated theorem proving, proof assistants and related...

boundary of non-zero length (i.e., not merely a corner where three or more regions meet). It was the first major theorem to be proved using a computer. Initially...

In mathematics, the mean value theorem (or Lagrange theorem) states, roughly, that for a given planar arc between two endpoints, there is at least one...