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2. Automated theorem proving - Wikipedia

   en.wikipedia.org/wiki/Automated_theorem_proving

   Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a major motivating factor for the development of computer science .

3. Otter (theorem prover) - Wikipedia

   en.wikipedia.org/wiki/Otter_(theorem_prover)

   OTTER (Organized Techniques for Theorem-proving and Effective Research [1]) is an automated theorem prover developed by William McCune at Argonne National Laboratory in Illinois. Otter was the first widely distributed, high-performance theorem prover for first-order logic, and it pioneered a number of important implementation techniques.

4. Thousands of Problems for Theorem Provers - Wikipedia

   en.wikipedia.org/wiki/Thousands_of_Problems_for...

   TPTP (Thousands of Problems for Theorem Provers) [1] is a freely available collection of problems for automated theorem proving. It is used to evaluate the efficacy of automated reasoning algorithms. [2] [3] [4] Problems are expressed in a simple text-based format for first order logic or higher-order logic. [5]

5. Isabelle (proof assistant) - Wikipedia

   en.wikipedia.org/wiki/Isabelle_(proof_assistant)

   The Isabelle [a] automated theorem prover is a higher-order logic (HOL) theorem prover, written in Standard ML and Scala.As a Logic for Computable Functions (LCF) style theorem prover, it is based on a small logical core (kernel) to increase the trustworthiness of proofs without requiring, yet supporting, explicit proof objects.

6. Proof assistant - Wikipedia

   en.wikipedia.org/wiki/Proof_assistant

   In 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 human–machine collaboration. This involves some sort of interactive proof editor, or other interface , with which a human can guide the search for proofs, the details of which are ...

7. Symbolic artificial intelligence - Wikipedia

   en.wikipedia.org/wiki/Symbolic_artificial...

   Symbolic AI used tools such as logic programming, production rules, semantic nets and frames, and it developed applications such as knowledge-based systems (in particular, expert systems), symbolic mathematics, automated theorem provers, ontologies, the semantic web, and automated planning and scheduling systems.

8. Nuprl - Wikipedia

   en.wikipedia.org/wiki/NuPRL

   Nuprl was first released in 1984, and was first described in detail in the book Implementing Mathematics with the Nuprl Proof Development System, [3] published in 1986. Nuprl 2 was the first Unix version. Nuprl 3 provided machine proof for mathematical problems related to Girard's paradox and Higman's lemma.

9. Logic for Computable Functions - Wikipedia

   en.wikipedia.org/wiki/Logic_for_Computable_Functions

   Theorem proving often benefits from decision procedures and theorem proving algorithms, whose correctness has been extensively analyzed. A straightforward way of implementing these procedures in an LCF approach requires such procedures to always derive outcomes from the axioms, lemmas, and inference rules of the system, as opposed to directly ...