About

It is used to reason about and represent knowledge in various domains, such as mathematics, computer science, linguistics, and philosophy. First-order logic consists of a set of symbols and rules for constructing sentences and making deductions. It allows for the expression of complex statements using variables, quantifiers (such as "for all" and "there exists"), and logical connectives (such as "and", "or", and "not"). These statements can be used to represent relationships between individuals, properties, and relations in a specific domain. The use of first-order logic enables precise reasoning and formalization of arguments. It allows for the analysis of the structure and properties of mathematical and logical systems, as well as the development of formal proofs. It is widely used in automated theorem proving, artificial intelligence, formal verification, and other areas of computer science. The Wikipedia page on first-order logic provides an overview of the subject, covering its history, syntax, semantics, and use in various fields. It also presents examples and applications of first-order logic, including the resolution method, model theory, and the completeness and compactness theorems. The page includes references to additional resources for further study and exploration of the topic.