semantic tableaux

Semantic tableaux are a systematic method used in logic to determine whether a statement is true or false. They begin with an assumption that the statement is false and break it down into simpler components. By exploring all possible scenarios in a tree-like structure, the process reveals contradictions, helping to identify whether the original statement can be true. If every path leads to a contradiction, the statement is considered valid; if at least one path remains consistent, the statement may not be true. This method is useful in fields like mathematics, computer science, and philosophy for analyzing logical arguments.