Three New Genuine Five-valued Logics Intended to Model Non-trivial Concepts
نویسندگان
چکیده
منابع مشابه
Maximally Paraconsistent Three-Valued Logics
Maximality is a desirable property of paraconsistent logics, motivated by the aspiration to tolerate inconsistencies, but at the same time retain from classical logic as much as possible. In this paper, we introduce the strongest possible notion of maximal paraconsistency, and investigate it in the context of logics that are based on deterministic or non-deterministic three-valued matrices. We ...
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We consider propositional logic. Three-valued logics are old: the first one is Lukasiewicz three valued logic from 1920 [8]. Gödel in [5] from 1932 studied a hierarchy of finite-valued logics, containing Gödel three-valued logic. Our main interest pays to Kleene three-valued logic [6]. Other threevalued logics will not be considered here. Let us agree that the three truth values are 0, 1 2 , 1 ...
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Three-valued logics belong to a family of nonclassical logics that started to flourish in the 1920s and 1930s, following the work of ( Lukasiewicz, 1920), and earlier insights coming from Frege and Peirce (see (Frege, 1879), (Frege, 1892), (Fisch and Turquette, 1966)). All of them were moved by the idea that not all sentences need be True or False, but that some sentences can be indeterminate i...
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Kleene’s strong three-valued logic extends naturally to a four-valued logic proposed by Belnap. We introduce a guard connective into Belnap’s logic and consider a few of its properties. Then we show that by using it four-valued analogs of Kleene’s weak three-valued logic, and the asymmetric logic of Lisp are also available. We propose an extension of these ideas to the family of distributive bi...
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We recall the basic definitions and some results from [6]. The syntax of the system L3 is the same as for the ordinary two–valued first order predicate calculus with the only exception, that it contains two negation symbols: strong and weak, denoted by ¬ and ∼, respectvely. The weak implication P ⊃ Q is an abbreviation for ∼ P ∨Q. We adopt the standard notation M = 〈M, v〉 to denote an adequate ...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2020
ISSN: 1571-0661
DOI: 10.1016/j.entcs.2020.10.012