Results 1 to 10 of about 1,525 (229)
Two deductions systems for the Logic PM4N
Intermaths, 2022 The logic PM4N was introduced by Jean-Yves Beziau as a modal and 4-valued system. In this introductory paper, the author presented the system from a matrix logic with four values disposed in a Boolean algebra with a modal operator for the notion of ...
Hércules de Araújo Feitosa +2 more
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ON A NEW APPROACH TO PEIRCE’S THREE-VALUE PROPOSITIONAL LOGIC
Manuscrito, 2023 In 1909, Peirce recorded in a few pages of his logic notebook some experiments with matrices for three-valued propositional logic. These notes are today recognized as one of the first attempts to create non-classical formal systems.
JOSÉ RENATO SALATIEL
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A Variant of Material Connexive Logic
Bulletin of the Section of Logic, 2021 The relationship between formal (standard) logic and informal (common-sense, everyday) reasoning has always been a hot topic. In this paper, we propose another possible way to bring it up inspired by connexive logic.
Alexander Belikov, Dmitry Zaitsev
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Fractional-Valued Modal Logic and Soft Bilateralism
Bulletin of the Section of Logic, 2023 In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of proof-theoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) of rational numbers [14].
Mario Piazza +2 more
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Characteristic Logics for Behavioural Hemimetrics via Fuzzy Lax Extensions [PDF]
Logical Methods in Computer Science, 2022 In systems involving quantitative data, such as probabilistic, fuzzy, or metric systems, behavioural distances provide a more fine-grained comparison of states than two-valued notions of behavioural equivalence or behaviour inclusion.
Paul Wild, Lutz Schröder
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A note on entropy of logic [PDF]
Yugoslav Journal of Operations Research, 2017 We propose an entropy based classification of propositional calculi. Our method can be applied to finite–valued propositional logics and then, extended asymptotically to infinite–valued logics.
Boričić Marija
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Tableau method of proof for Peirce’s three-valued propositional logic
Filosofia Unisinos, 2022 Peirce’s triadic logic has been under discussion since its discovery in the 1960s by Fisch and Turquette. The experiments with matrices of three-valued logic are recorded in a few pages of unpublished manuscripts dated 1909, a decade before similar ...
José Renato Salatiel
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The Law of Excluded Middle and the Negation of it in many-valued and Fuzzy Logics [PDF]
حکمت و فلسفه, 2008 The philosophical critiques, in twentieth century, on binary paradigm caused the negation of the law of excluded middle as the same as it caused the establishment of many-valued logics and fuzzy logic, while the laws of excluded middle, identity and ...
morteza haj hoseyni
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Towards a Proof Theory of G\"odel Modal Logics [PDF]
Logical Methods in Computer Science, 2011 Analytic proof calculi are introduced for box and diamond fragments of basic modal fuzzy logics that combine the Kripke semantics of modal logic K with the many-valued semantics of G\"odel logic.
George Metcalfe, Nicola Olivetti
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A Logic for Dually Hemimorphic Semi-Heyting Algebras and its Axiomatic Extensions
Bulletin of the Section of Logic, 2022 The variety \(\mathbb{DHMSH}\) of dually hemimorphic semi-Heyting algebras was introduced in 2011 by the second author as an expansion of semi-Heyting algebras by a dual hemimorphism.
Juan Manuel Cornejo +1 more
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