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 title        = {On a three-valued logical calculus and its application to the analysis of the paradoxes of the classical extended functional calculus ({E}nglish translation of {B}ochvar's paper of 1938)},
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 title        = {On paraconsistent weak {K}leene logic: Axiomatisation and algebraic analysis},
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@book(Hallden,
 author       = {S\"{o}ren Halld\'{e}n},
 year         = {1949},
 title        = {The Logic of Nonsense},
 publisher    = {Lundequista Bokhandeln, Uppsala},
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@inproceedings(Belnap1,
 author       = {Nuel D. Belnap Jr.},
 year         = {1977},
 title        = {A useful four-valued logic},
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 author       = {Stephen Cole Kleene},
 year         = {1938},
 title        = {On a notation for ordinal numbers},
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 year         = {2009},
 title        = {Functional expressibility of regular {K}leene's logics (in {R}ussian)},
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 author       = {Barteld Kooi and Allard Tamminga},
 year         = {2012},
 title        = {Completeness via correspondence for extensions of the logic of paradox},
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@article(KurbisPetrukhin,
 author       = {Nils K\"{u}rbis and Yaroslav Petrukhin},
 year         = {2021},
 title        = {Normalisation for Some Quite Interesting Many-Valued Logics},
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 volume       = {30},
 number       = {3},
 pages        = {493--534},
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@book(StructuralProofTheory,
 author       = {Sara Negri and Jan von Plato},
 year         = {2001},
 title        = {Structural Proof Theory},
 publisher    = {Cambridge University Press},
 doi          = {10.1017/CBO9780511527340},
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@article(Oller,
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 year         = {1999},
 title        = {Paraconsistency and analyticity},
 journal      = {Logic and Logical Philosophy},
 volume       = {7},
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@article(Petrukhin3,
 author       = {Yaroslav Petrukhin},
 year         = {2017},
 title        = {Natural deduction for three-valued regular logics},
 journal      = {Logic and Logical Philosophy},
 volume       = {26},
 number       = {2},
 pages        = {197--206},
 doi          = {10.12775/LLP.2016.025},
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@article(Petrukhin4,
 author       = {Yaroslav Petrukhin},
 year         = {2018},
 title        = {Natural Deduction for Four-Valued both Regular and Monotonic Logics},
 journal      = {Logic and Logical Philosophy},
 volume       = {27},
 number       = {1},
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 doi          = {10.12775/LLP.2017.001},
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@article(Petrukhin,
 author       = {Yaroslav I. Petrukhin},
 year         = {2017},
 title        = {Natural deduction for {F}itting's four-valued generalizations of {K}leene's logics},
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 volume       = {11},
 number       = {4},
 pages        = {525--532},
 doi          = {10.1007/s11787-017-0169-0},
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@inproceedings(Priest02,
 author       = {Graham Priest},
 year         = {2002},
 title        = {Paraconsistent logic},
 booktitle    = {Handbook of philosophical logic},
 volume       = {2},
 publisher    = {Kluwer Academic Publishers},
 pages        = {287--393},
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@article(DaReetla,
 author       = {Bruno Da R\'{e} and Federico Pailos and Damian Enrique Szmuc},
 year         = {2020},
 title        = {Theories of truth based on four-valued infectious logics},
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 volume       = {28},
 number       = {5},
 pages        = {712--746},
 doi          = {10.1093/jigpal/jzy057},
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@article(Szmuc,
 author       = {Damian Enrique Szmuc},
 year         = {2017},
 title        = {Defining LFIs and LFUs in extensions of infectious logics},
 journal      = {Journal of Applied Non-Classical Logics},
 volume       = {26},
 number       = {4},
 pages        = {286--314},
 doi          = {10.1080/11663081.2017.1290488},
)
@article(Szmuc19,
 author       = {Damian Enrique Szmuc},
 year         = {2019},
 title        = {An epistemic interpretation of paraconsistent weak Kleene logic},
 journal      = {Logic and Logical Philosophy},
 volume       = {28},
 number       = {2},
 pages        = {277--330},
 doi          = {10.12775/LLP.2019.014},
)
@article(Szmuc21,
 author       = {Damian Enrique Szmuc},
 year         = {2021},
 title        = {A Simple Logical Matrix and Sequent Calculus for Parry's Logic of Analytic Implication},
 journal      = {Studia Logica},
 volume       = {109},
 number       = {4},
 pages        = {791--828},
 doi          = {10.1007/s11225-020-09926-x},
)