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automatic theorem proving

Automatic theorem proving is a branch of computer science and mathematical logic that involves using algorithms and software to systematically verify whether certain statements, called theorems, are true based on a set of given rules and premises. It automates the process of logical reasoning, enabling computers to prove mathematical propositions or verify logical consistency faster and more accurately than humans can manually. This technology is used in areas like formal verification, artificial intelligence, and advanced mathematics to ensure correctness of complex systems and proofs.