What is propositional logic? What are the elements of propositional logic? Providethe suitable example.

# What is propositional logic? What are the elements of propositional logic? Providethe suitable example.

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Propositional logic (PL) is the simplest form of logic where all the statements are made by propositions. A proposition is a declarative statement which is either true or false. It is a technique of knowledge representation in logical and mathematical form.

Example:

1. It is Sunday.

2. The Sun rises from West (False proposition)

some basic facts about propositional logic:logical connectives.tautology, and it is also called a valid sentence.Contradiction.Where is Rohini“, “How are you“, “What is your name“, are not propositions.Logical Connectives:Negation:A sentence such as ¬ P is called negation of P. A literal can be either Positive literal or negative literal.Conjunction:A sentence which has∧connective such as,P ∧ Qis called a conjunction.Disjunction:A sentence which has ∨ connective, such asP ∨ Q. is called disjunction, where P and Q are the propositions.Implication:A sentence such as P → Q, is called an implication. Implications are also known as if-then rules.Biconditional:A sentence such asP⇔ Q is a Biconditional sentence, example If I am breathing, then I am alive