Studia Logica 101 (5):959-986 (2013)
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| Abstract |
The method of Socratic proofs (SP-method) simulates the solving of logical problem by pure questioning. An outcome of an application of the SP-method is a sequence of questions, called a Socratic transformation. Our aim is to give a method of translation of Socratic transformations into trees. We address this issue both conceptually and by providing certain algorithms. We show that the trees which correspond to successful Socratic transformations—that is, to Socratic proofs—may be regarded, after a slight modification, as Gentzen-style proofs. Thus proof-search for some Gentzen-style calculi can be performed by means of the SP-method. At the same time the method seems promising as a foundation for automated deduction.
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| Keywords | Socratic transformations Socratic proofs Sequent calculi Proof search Automated deduction |
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| DOI | 10.1007/s11225-012-9404-0 |
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References found in this work BETA
First-Order Logic.Raymond Merrill Smullyan - 1968 - Berlin, Germany: New York [Etc.]Springer-Verlag.
Structural Proof Theory.Sara Negri, Jan von Plato & Aarne Ranta - 2001 - Cambridge University Press.
The Posing of Questions: Logical Foundations of Erotetic Inferences.Andrzej Wiśniewski - 1995 - Dordrecht and Boston: Kluwer Academic Publishers.
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Citations of this work BETA
A Cut-Free Sequent Calculus for Defeasible Erotetic Inferences.Jared Millson - 2019 - Studia Logica (6):1-34.
Inferential Erotetic Logic Meets Inquisitive Semantics.Andrzej Wiśniewski & Dorota Leszczyńska-Jasion - 2015 - Synthese 192 (6):1585-1608.
Dual Erotetic Calculi and the Minimal LFI.Szymon Chlebowski & Dorota Leszczyńska-Jasion - 2015 - Studia Logica 103 (6):1245-1278.
Automatic Proof Generation in an Axiomatic System for $\mathsf{CPL}$ by Means of the Method of Socratic Proofs.Aleksandra Grzelak & Dorota Leszczyńska-Jasion - 2018 - Logic Journal of the IGPL 26 (1):109-148.
A Survey of Nonstandard Sequent Calculi.Andrzej Indrzejczak - 2014 - Studia Logica 102 (6):1295-1322.
View all 6 citations / Add more citations
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