A propositional formula is constructed from simple propositions, such as "five is greater than three" or propositional variables such as p and q, using connectives or logical operators such …

Any expression that obeys the syntactic rules of propositional logic is called a well-formed formula, or WFF, of propositional logic. Fortunately, the syntax of propositional logic is easy to …

In propositional logic, there is no such distinction, and no need for the equals sign. A propositional formula like a ∧ (¬b ∨ c) a ∧ (b ∨ c) evalutes to a true/false value already, so there is no need …

Every propositional variable pi is an atomic formula. If φ is a formula, then ¬φ is a formula. If φ and ψ are formulas, then (φ ∧ ψ) is a formula. If φ and ψ are formulas, then (φ ∨ ψ) is a …

atomic proposition is a statement or assertion that must be true or false. Examples of atomic propositions are: “5 is a prime” and “program. terminates”. logical connectives. truth value of a …

In the following example we analyse the consistency of a sequence of assertions in natural language by translating them to a propositional formula and computing its truth table.

In propositional logic, a propositional formula is a type of syntactic formula which is well formed. If the values of all variables in a propositional formula are given, it determines a unique truth value.

If $\sigma$ is a set of propositional connectives (a fragment), then a propositional formula in the fragment $\sigma$ is a propositional formula in whose construction rule 2) only connectives …

Oct 14, 2025 · Foundations of Mathematics Logic General Logic Propositional Formula See Sentential Formula

Solving a classical propositional formula means looking for such values of variables that the formula becomes true. For example, (a -> b) & a becomes true if and only if both a and b are …