Constitutes the proceedings of the 4th International Workshop on Theorem Proving with Analytic Tableaux and Related Methods, TABLEAU '95, held at Schloss Rheinfels, St Goar, Germany in May 1995. This book is organized in sections on extensions, modal logic, intuitionistic logic, the connection method and model elimination, and higher-order logic.

Issues in theorem proving based on the connection method.- Rigid E-unification simplified.- Generating finite counter examples with semantic tableaux.- Semantic tableaus for inheritance nets.- Using connection method in modal logics: Some advantages.- Labelled tableaux for multi-modal logics.- Refutation systems for prepositional modal logics.- On transforming intuitionistic matrix proofs into standard-sequent proofs.- A connection based proof method for intuitionistic logic.- Tableau for intuitionistic predicate logic as metatheory.- Model building and interactive theory discovery.- Link deletion in model elimination.- Specifications of inference rules and their automatic translation.- Constraint model elimination and a PTTP-implementation.- Non-elementary speedups between different versions of tableaux.- Syntactic reduction of predicate tableaux to propositional tableaux.- Classical Lambek logic.- Linear logic with isabelle: Pruning the proof search tree.- Linear analytic tableaux.- Higher-order tableaux.- Propositional logics on the computer.- MacKE: Yet another proof assistant & automated pedagogic tool.- Using the theorem prover SETHEO for verifying the development of a communication protocol in FOCUS -A Case Study-.