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  1. Intuitionistic Socratic Procedures.Tomasz F. Skura - 2005 - Journal of Applied Non-Classical Logics 15 (4):453-464.
    In the paper we study the method of Socratic proofs in the intuitionistic propositional logic as a reduction procedure. Our approach consists in constructing for a given sequent α a finite tree of sets of sequents by using invertible reduction rules of the kind: ? is valid if and only if ?1 is valid or... or ?n is valid. From such a tree either a Gentzen-style proof of α or an Aristotle-style refutation of α can also be extracted.
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