Notes:

A theorem prover is a computer program that is designed to prove mathematical theorems or logical propositions automatically, without any human intervention. Theorem provers typically use formal logic and a set of inference rules to manipulate symbols and deduce new statements from existing ones until they reach a conclusion.

Theorem provers work by first translating the theorem or proposition into a formal language that the computer can understand. This involves defining the logical symbols, such as “and”, “or”, “not”, and “implies”, and specifying the rules for manipulating them. The theorem prover then attempts to derive the statement from a set of axioms or assumptions using logical inference rules, such as modus ponens or resolution.

Theorem provers are used in a variety of applications, including software verification, circuit design, and artificial intelligence. In software verification, theorem provers are used to check that a program meets its specified requirements, by proving that the code satisfies certain properties. In circuit design, theorem provers are used to verify that the circuit functions correctly and to detect errors. In artificial intelligence, theorem provers are used to reason about knowledge and to perform automated reasoning tasks, such as natural language understanding and question answering.

Wikipedia:

See also:

Automated Reasoning | Automated Theorem Proving (Automated Deduction)

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