Propositions and Logical Connectives
Propositional logic models declarative statements with definite truth values.
Summary
Propositional logic models declarative statements with definite truth values. In computing, these statements combine into Boolean expressions used in branching conditions, loop guards, and filters. A truth assignment maps each proposition variable to true or false.
Negation reverses the truth value of . Other connectives combine propositions as follows:
| Connective | Expression | True when |
|---|---|---|
| Conjunction |
🧠 Key Concepts
- Propositions
- Truth Assignments
- Negation
- Conjunction
- Inclusive Disjunction
- Material Implication
- Biconditional
- Contrapositive
- De Morgan's Laws
- Tautologies and Contradictions
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Propositions, Logical Connectives, and Truth Tables
📘 Overview Propositional logic represents statements with definite truth values and combines them using logical connectives. A truth table evaluates a compound proposition under every possible assignment; distinct proposition variables require rows.
🧠 Key Idea The truth value of a compound proposition depends on its component truth values and the connectives joining them. An implication is false only when its antecedent is true and its consequent is false.
⚔️ Core Details: - A proposition is a declarative statement that is either true or false, such as "The process has terminated." - Negation
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Part of 🌱 BSCS Year 1 — Computing & College Foundations
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