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Leśniewski's ontology -- proof-theoretic characterization

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Publication:2104542
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DOI10.1007/978-3-031-10769-6_32OpenAlexW4289103996MaRDI QIDQ2104542

Andrzej Indrzejczak

Publication date: 7 December 2022

Full work available at URL: https://doi.org/10.1007/978-3-031-10769-6_32


zbMATH Keywords

cut eliminationsequent calculusontologyLeśniewskicalculus of names


Mathematics Subject Classification ID

Theorem proving (automated and interactive theorem provers, deduction, resolution, etc.) (68V15)



Uses Software

  • Pesca


Cites Work

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  • A semantical investigation into Leśniewski's axiom of his ontology
  • A propositional fragment of Leśniewski's ontology and its formulation by the tableau method
  • Leśniewski's systems of logic and foundations of mathematics
  • Sequents and trees. An introduction to the theory and applications of propositional sequent calculi
  • From axioms to synthetic inference rules via focusing
  • Free logics are cut-free
  • On Lesniewski's elementary ontology
  • Proof theory for fuzzy logics
  • Fregean Description Theory in Proof-Theoretical Setting
  • Computer Science Logic
  • Substitutional quantification and Leśniewskian quantifiers
  • Hybrid logic and its proof-theory
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