CNF Checker

Validate if a logical formula is in proper Conjunctive Normal Form (CNF) with detailed syntax checking and analysis.

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About This Tool

The CNF Checker is a specialized tool for validating propositional logic formulas in Conjunctive Normal Form (CNF). It accepts boolean expressions using standard logical operators (AND, OR, NOT) and variables, then checks whether the formula follows proper CNF syntax where the formula is a conjunction of disjunctions of literals. The tool provides detailed feedback including syntax validation, CNF compliance checking, clause analysis, and variable identification. Perfect for students, researchers, and developers working with SAT solvers, automated reasoning, or formal verification.

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How to Use

Enter your boolean formula in the text area using variables (like p, q, r), AND (∧ or &), OR (∨ or |), and NOT (¬ or !)
Choose validation options: strict syntax checking or lenient parsing
Click 'Check CNF' to validate the formula
View detailed results including CNF compliance status, clause breakdown, and any syntax errors
Use 'Clear' to reset or 'Example' to load a sample formula

Frequently Asked Questions

Find Quick Answers

What is Conjunctive Normal Form (CNF)?

CNF is a standardized form of boolean formulas where the formula is a conjunction (AND) of one or more clauses, each clause being a disjunction (OR) of literals. A literal is either a variable or its negation. Example: (p ∨ q) ∧ (¬r ∨ s) ∧ t

What operators and syntax does the tool support?

Supports variables (letters, numbers, underscores), AND (∧, &, AND), OR (∨, |, OR), NOT (¬, !, NOT), parentheses for grouping. Both mathematical symbols and text operators are accepted.

Can I check formulas with more than 3 variables?

Yes, the tool handles formulas with any number of variables. There's no practical limit for typical educational or research use cases.

What happens if my formula isn't in CNF?

The tool will identify which parts violate CNF rules and provide specific feedback about why it's not valid CNF, helping you understand how to convert it.

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