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    Article

    The Fmla-Fmla Axiomatizations of the Exactly True and Non-falsity Logics and Some of Their Cousins

    In this paper we present a solution of the axiomatization problem for the Fmla-Fmla versions of the Pietz and Rivieccio exactly true logic and the non-falsity logic dual to it. To prove the completeness of the co...

    Yaroslav Shramko, Dmitry Zaitsev, Alexander Belikov in Journal of Philosophical Logic (2019)

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    Article

    First-Degree Entailment and its Relatives

    We consider a family of logical systems for representing entailment relations of various kinds. This family has its root in the logic of first-degree entailment formulated as a binary consequence system, i.e. ...

    Yaroslav Shramko, Dmitry Zaitsev, Alexander Belikov in Studia Logica (2017)

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    Book

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    Chapter

    Generalized Vasiliev-Style Propositions

    This paper promotes a generalization approach applied to Vasiliev-style propositions. In so doing, I start with clarification of Vasiliev’s conception of propositions originated in his early writings. Secondly...

    Dmitry Zaitsev in The Logical Legacy of Nikolai Vasiliev and Modern Logic (2017)

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    Chapter and Conference Paper

    Categorization in Intentional Theory of Concepts

    The recent rapid growth of empirical results in neuroscience has widened a proverbial explanatory gap between a first-person introspective experience and objective third-person data. Given different competing ...

    Dmitry Zaitsev, Natalia Zaitseva in Advances in Neural Networks – ISNN 2016 (2016)

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    Article

    Bi-facial Truth: a Case for Generalized Truth Values

    We explore a possibility of generalization of classical truth values by distinguishing between their ontological and epistemic aspects and combining these aspects within a joint semantical framework. The outco...

    Dmitry Zaitsev, Yaroslav Shramko in Studia Logica (2013)

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    Article

    A Few More Useful 8-valued Logics for Reasoning with Tetralattice EIGHT 4

    In their useful logic for a computer network Shramko and Wansing generalize initial values of Belnap’s 4-valued logic to the set 16 to be the power-set of Belnap’s 4. This generalization results in a very spec...

    Dmitry Zaitsev in Studia Logica (2009)

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    Article

    Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case

    We show that germs of local real-analytic CR automorphisms of a real-analytic hypersurface M in $\mathbb{C}$2 at a point pM are uniquelydetermined by their jets of some finite order at p if and only if M i...

    Peter Ebenfelt, Bernhard Lamel, Dmitry Zaitsev in Geometric & Functional Analysis GAFA (2003)