Compound statement
Definition
A compound statement is a logical expression formed by combining two or more simple statements using logical connectives such as 'and', 'or', and 'not'. Compound statements can be analyzed for their truth values based on the truth values of their components.
5 Must Know Facts For Your Next Test
- The main logical connectives used in compound statements are conjunction (and), disjunction (or), and negation (not).
- The truth value of a compound statement depends on the truth values of its individual components.
- Compound statements can be represented using symbols such as ∧ for 'and', ∨ for 'or', and ¬ for 'not'.
- Understanding how to use truth tables is essential for evaluating the truth value of compound statements.
- De Morgan's Laws are important for simplifying and understanding the negation of compound statements.
Review Questions
- What logical connectives are used to form a compound statement?
- How do you determine the truth value of a compound statement?
- What role do De Morgan's Laws play in simplifying compound statements?
"Compound statement" appears in:
Related terms
Conjunction: A logical connective that combines two statements with 'and' (∧) and is true only if both statements are true.
Disjunction: A logical connective that combines two statements with 'or' (∨) and is true if at least one of the statements is true.
Negation: A logical operation that takes a single statement and reverses its truth value, represented by ¬.
