Handbook of Tableau Methods

There are several types of proof-theoretical methodologies, Hilbert style, Gentzen style, goal directed, labelled deductive system, as well as many others. One of the most popular is the analytic tableaux methodology, first proposed by Beth and Hintikka and later perfected by Smullyan and Fitting. The style is semantically based and very intuitive. It is the first style taught to students in many universities. The late-1990s have seen interest in tableaux become more widespread, and leading members of the "tableau community" here present a broad coverage of tableau systems for a variety of logics.