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First-order logic
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TL;DR. A formal logic system using variables and quantifiers to express propositions more complexly than propositional logic.
Technical Definition
A formal logic system using variables and quantifiers to express propositions more complexly than propositional logic.
How it works
First-order logic, also known as first-order predicate calculus, is a formal system that extends propositional logic by allowing the use of variables, quantifiers (like 'for all' and 'there exists'), and predicates. It enables the representation of more complex statements, such as 'All humans are mortal,' making it powerful for knowledge representation and reasoning in AI.
Related Concepts
- Knowledge Representation — How facts and relationships are encoded so a system can reason over them.
- Predicate logic — A formal system that uses quantified variables and predicates to express logical propositions about objects and their properties.