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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 ...
Symbolab. Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero.
Photomath utilizes the camera of a user's smartphone or tablet to scan and identify mathematical problems. Upon recognition, the app displays the steps to solve the problem. The app presents these steps through various methods and approaches, elucidating the problem-solving process in a step-by-step manner to educate users.
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 impetus for the development of computer science .
(more unsolved problems in mathematics) Directed graph showing the orbits of small numbers under the Collatz map, skipping even numbers. The Collatz conjecture states that all paths eventually lead to 1. The Collatz conjecture [a] is one of the most famous unsolved problems in mathematics. The conjecture asks whether repeating two simple arithmetic operations will eventually transform every ...
O ( n ) {\displaystyle O (n)} (basic algorithm) In logic and computer science, the Davis–Putnam–Logemann–Loveland ( DPLL) algorithm is a complete, backtracking -based search algorithm for deciding the satisfiability of propositional logic formulae in conjunctive normal form, i.e. for solving the CNF-SAT problem.
theorem and_swap (p q: Prop): p ∧ q → q ∧ p:= by intro h-- assume p ∧ q with proof h, the goal is q ∧ p apply And.intro-- the goal is split into two subgoals, one is q and the other is p · exact h.right-- the first subgoal is exactly the right part of h : p ∧ q · exact h.left-- the second subgoal is exactly the left part of h : p ∧ q
General Problem Solver. General Problem Solver ( GPS) is a computer program created in 1957 by Herbert A. Simon, J. C. Shaw, and Allen Newell ( RAND Corporation) intended to work as a universal problem solver machine. In contrast to the former Logic Theorist project, the GPS works with means–ends analysis.