Mathlean · Online math workspace

Satisfiability checker

Check whether a propositional formula has a satisfying truth assignment.

How to use this calculator

Edit IsSatisfiable(p and not p). The contradictory starter returns false.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

IsSatisfiable⁡(p∧¬p)\operatorname{IsSatisfiable}\left(p\land\lnot p\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

A Boolean answer does not list every satisfying assignment or prove arbitrary first-order statements.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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