Results 1 to 10 of about 170 (20)
Encoding many-valued logic in $\lambda$-calculus [PDF]
Logical Methods in Computer Science, 2021 We will extend the well-known Church encoding of Boolean logic into $\lambda$-calculus to an encoding of McCarthy's $3$-valued logic into a suitable infinitary extension of $\lambda$-calculus that identifies all unsolvables by $\bot$, where $\bot$ is a ...
Fer-Jan de Vries
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Hyper Rl-Ideals in Hyper Residuated Lattices
Discussiones Mathematicae - General Algebra and Applications, 2022 In this paper, we introduce the notion of a (strong) hyper RL-ideal in hyper residuated lattices and give some properties and characterizations of them.
Bakhshi Mahmood
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Gődel filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In this paper, in the spirit of [4], we study a new type of filters in residuated lattices : Gődel filters. So, we characterize the filters for which the quotient algebra that is constructed via these filters is a Gődel algebra and we establish the ...
Piciu Dana +2 more
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Some decompositions of filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper we introduce a new class of residuated lattice: residuated lattice with (C∧&→) property and we prove that (C∧&→) ⇔ (C→) + (C∧).Also, we introduce and characterize C→, C∨, C∧ and C∧ & → filters in residuated lattices (i.e., we characterize ...
Piciu Dana +2 more
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Remarks on some connections between ideals and filters in residuated lattices
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIdeals and filters are important notions with different meanings in the study of algebraic structures related to logical systems. In this paper we establish new connections between these concepts in residuated lattices.
Piciu Dana +2 more
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Hypersequents and the Proof Theory of Intuitionistic Fuzzy Logic [PDF]
, 2000 Takeuti and Titani have introduced and investigated a logic they called intuitionistic fuzzy logic. This logic is characterized as the first-order Goedel logic based on the truth value set [0,1].
Baaz, Matthias, Zach, Richard
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Pavelka-style completeness in expansions of \L ukasiewicz logic [PDF]
, 2008 An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given.
Freytes, Hector
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Hidden modalities in algebras with negation and implication [PDF]
, 2013 Lukasiewicz 3-valued logic may be seen as a logic with hidden truthfunctional modalities de ned by A := :A ! A and A := :(A ! :A). It is known that axioms (K), (T), (B), (D), (S4), (S5) are provable for these modalities, and rule (RN) is admissible. We
Järvinen, Jouni +3 more
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States on pseudo effect algebras and integrals [PDF]
, 2010 We show that every state on an interval pseudo effect algebra $E$ satisfying some kind of the Riesz Decomposition Properties (RDP) is an integral through a regular Borel probability measure defined on the Borel $\sigma$-algebra of a Choquet simplex $K ...
A. Dvurečenskij +21 more
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