Propositional Logic: How Truth Tables Test Logical Rules in AI Systems

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This chapter from the STATERA Library's Knowledge Representation volume introduces propositional logic as a formal system for expressing statements that are either true or false. It explains how atomic propositions are combined using connectives such as negation, conjunction, disjunction, implication, and biconditional, with parentheses clarifying grouping. The text describes semantics, where truth assignments determine the value of compound formulas, and classifies formulas as satisfiable, unsatisfiable, or valid. It also shows how truth tables evaluate all possible assignments, using a robot safety-authorization example to illustrate how they reveal unintended behavior in logical rules.

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