Abstract
Abstract The formal proof system called semantic (or analytic) tableaux was introduced by E. W. Beth (1986) and K. J. J. Hintikka (1955) in the 1950s, its ancestors being Gentzen systems. R. Smullyan (1968) gave a particularly elegant version of tableaux which largely increased their popularity, and most tableaux systems used today are based on the formulation he set out. Semantic tableaux are popular as a pedagogical tool; however, recently, their importance in the field of automated theorem proving has also grown substantially.
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