Prolog is a declarative programming language used in artificial intelligence. Prolog programs specify relationships between objects and their properties. A Prolog program consists of facts and rules. Facts are predicates followed by a period, and rules have a head and body separated by ":-". Queries are sequences of predicates separated by commas and ended with a period. Prolog can perform general purpose arithmetic and handle lists through built-in predicates for operations like length and sum. Examples demonstrate using Prolog for personal information, testing marks, weather conditions, and finding maximums.