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1

Gehrke, Mai, Carol Walker, and Elbert Walker. "A Mathematical Setting for Fuzzy Logics." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 05, no. 03 (1997): 223–38. http://dx.doi.org/10.1142/s021848859700021x.

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The setup of a mathematical propositional logic is given in algebraic terms, describing exactly when two choices of truth value algebras give the same logic. The propositional logic obtained when the algebra of truth values is the real numbers in the unit interval equipped with minimum, maximum and -x=1-x for conjunction, disjunction and negation, respectively, is the standard propositional fuzzy logic. This is shown to be the same as three-valued logic. The propositional logic obtained when the algebra of truth values is the set {(a, b)|a≤ b and a,b∈[0,1]} of subintervals of the unit interval
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2

Boricic, Marija. "A note on entropy of logic." Yugoslav Journal of Operations Research 27, no. 3 (2017): 385–90. http://dx.doi.org/10.2298/yjor151025011b.

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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. In this paper we consider a classification depending on the number of truth values of a logic and not on the number of its designated values. Furthermore, we believe that almost the same approach can be useful in classification of finite algebras.
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3

Manuel Dries. "On the Logic of Values." Journal of Nietzsche Studies, no. 39 (2010): 30. http://dx.doi.org/10.5325/jnietstud.39.1.0030.

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4

Godo, L., J. Jacas, and L. Valverde. "Fuzzy values in fuzzy logic." International Journal of Intelligent Systems 6, no. 2 (1991): 199–212. http://dx.doi.org/10.1002/int.4550060207.

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5

Manuel Dries. "On the Logic of Values." Journal of Nietzsche Studies 39, no. 1 (2010): 30–50. http://dx.doi.org/10.1353/nie.0.0061.

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6

Малиновский, Г. "Multiplying logical values." Logical Investigations 18 (May 3, 2012): 292–308. http://dx.doi.org/10.21146/2074-1472-2012-18-0-292-308.

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The modern history of many-valuedness starts with Lukasiewicz’s construction of three-valued logic. This pioneering, philosophically motivated and matrix based construction, first presented in 1918, was in 1922 extended to n-valued cases, including two infinite ones. Soon several constructions of many-valued logic appeared and the history of the topic became rich and interesting. However, as it is widely known, the problem of interpretation of multiple values is still among vexed questions of contemporary logic. With the paper, which essentially groups my earlier settlements, from [3], [4], [7
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7

Skeggs, Bev. "Values beyond value? Is anything beyond the logic of capital?" British Journal of Sociology 65, no. 1 (2014): 1–20. http://dx.doi.org/10.1111/1468-4446.12072.

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8

Hayes, J. P. "Digital Simulation with Multiple Logic Values." IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 5, no. 2 (1986): 274–83. http://dx.doi.org/10.1109/tcad.1986.1270196.

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9

NAISH, LEE, and HARALD SØNDERGAARD. "Truth versus information in logic programming." Theory and Practice of Logic Programming 14, no. 6 (2013): 803–40. http://dx.doi.org/10.1017/s1471068413000069.

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AbstractThe semantics of logic programs was originally described in terms of two-valued logic. Soon, however, it was realised that three-valued logic had some natural advantages, as it provides distinct values not only for truth and falsehood but also for “undefined”. The three-valued semantics proposed by Fitting (Fitting, M. 1985. A Kripke–Kleene semantics for logic programs. Journal of Logic Programming 2, 4, 295–312) and Kunen (Kunen, K. 1987. Negation in logic programming. Journal of Logic Programming 4, 4, 289–308) are closely related to what is computed by a logic program, the third tru
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10

Odintsov, Sergei P., and Heinrich Wansing. "The Logic of Generalized Truth Values and the Logic of Bilattices." Studia Logica 103, no. 1 (2014): 91–112. http://dx.doi.org/10.1007/s11225-014-9546-3.

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11

ODINTSOV, SERGEI P., and STANISLAV O. SPERANSKI. "BELNAP–DUNN MODAL LOGICS: TRUTH CONSTANTS VS. TRUTH VALUES." Review of Symbolic Logic 13, no. 2 (2019): 416–35. http://dx.doi.org/10.1017/s1755020319000121.

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AbstractWe shall be concerned with the modal logic BK—which is based on the Belnap–Dunn four-valued matrix, and can be viewed as being obtained from the least normal modal logic K by adding ‘strong negation’. Though all four values ‘truth’, ‘falsity’, ‘neither’ and ‘both’ are employed in its Kripke semantics, only the first two are expressible as terms. We show that expanding the original language of BK to include constants for ‘neither’ or/and ‘both’ leads to quite unexpected results. To be more precise, adding one of these constants has the effect of eliminating the respective value at the l
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12

Fitting, Melvin. "Logic Programming on a Topological Bilattice1." Fundamenta Informaticae 11, no. 2 (1988): 209–18. http://dx.doi.org/10.3233/fi-1988-11206.

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We investigate the semantics of logic programming using a generalized space of truth values. These truth values may be thought of as evidences for and against – possibly incomplete or contradictory. The truth value spaces we use essentially have the structure of M. Ginsberg’s bilattices, and arise from topological spaces. The simplest example is a four-valued logic, previously investigated by N. Belnap. The theory of this special case properly contains that developed in earlier research by the author, on logic programming using Kleene’s three-valued logic.
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13

Puška, Adis, Sead Šadić, and Jasmin Stovrag. "Transformation of linguistic values in numerical values using fuzzy logic." Serbian Journal of Engineering Management 3, no. 2 (2018): 13–27. http://dx.doi.org/10.5937/sjem1802013p.

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14

SUBRAHMANIAN, V. S. "A RING-THEORETIC BASIS FOR LOGIC PROGRAMMING." International Journal of Foundations of Computer Science 01, no. 01 (1990): 23–48. http://dx.doi.org/10.1142/s0129054190000047.

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Investigations into the semantics of logic programming have largely restricted themselves to the case when the set of truth values being considered is a complete lattice. While a few theorems have been obtained which make do with weaker structures, to our knowledge there is no semantical characterization of logic programming which does not require that the set of truth values be partially ordered. We derive here semantical results on logic programming over a space of truth values that forms a commutative pseudo-ring (an algebraic structure a bit weaker than a ring) with identity. This permits
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15

Ciuni, Roberto, Thomas Macaulay Ferguson, and Damian Szmuc. "Logics based on linear orders of contaminating values." Journal of Logic and Computation 29, no. 5 (2019): 631–63. http://dx.doi.org/10.1093/logcom/exz009.

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AbstractA wide family of many-valued logics—for instance, those based on the weak Kleene algebra—includes a non-classical truth-value that is ‘contaminating’ in the sense that whenever the value is assigned to a formula $\varphi $, any complex formula in which $\varphi $ appears is assigned that value as well. In such systems, the contaminating value enjoys a wide range of interpretations, suggesting scenarios in which more than one of these interpretations are called for. This calls for an evaluation of systems with multiple contaminating values. In this paper, we consider the countably infin
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16

Fitting, Melvin C. "Many-Valued Modal Logics." Fundamenta Informaticae 15, no. 3-4 (1991): 235–54. http://dx.doi.org/10.3233/fi-1991-153-404.

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Two families of many-valued modal logics are investigated. Semantically, one family is characterized using Kripke models that allow formulas to take values in a finite many-valued logic, at each possible world. The second family generalizes this to allow the accessibility relation between worlds also to be many-valued. Gentzen sequent calculi are given for both versions, and soundness and completeness are established.
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17

Huat, Chua Beng. "Asian values: Restraining the logic of capitalism?" Social Semiotics 8, no. 2-3 (1998): 215–26. http://dx.doi.org/10.1080/10350339809360409.

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18

Entemann, Carl W. "A fuzzy logic with interval truth values." Fuzzy Sets and Systems 113, no. 2 (2000): 161–83. http://dx.doi.org/10.1016/s0165-0114(98)00101-8.

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19

Girle, Roderic A., and Jonathan McKeown-Green. "Methodological Issues for the Logic of Questions and Commands." International Journal of Cognitive Informatics and Natural Intelligence 6, no. 3 (2012): 1–18. http://dx.doi.org/10.4018/jcini.2012070101.

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There has been much recent interest in logics for questions and commands. The authors approve, but they argue that methodological issues must be addressed, before it is possible to understand what such logics are for and what they should be like. In particular, the authors deny that the formulas in such logics correspond directly to sentences in ordinary language. Logic is not linguistics. What then are the semantics for the formulas of logics of questions and commands? The focus here is mostly on questions. The authors argue that logics designed to capture the conditions for correct reasoning
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20

Pynko, Alexej P. "Subprevarieties versus extensions. Application to the logic of paradox." Journal of Symbolic Logic 65, no. 2 (2000): 756–66. http://dx.doi.org/10.2307/2586567.

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AbstractIn the present paper we prove that the poset of all extensions of the logic defined by a class of matrices whose sets of distinguished values are equationally definable by their algebra reducts is the retract, under a Galois connection, of the poset of all subprevarieties of the prevariety generated by the class of the algebra reducts of the matrices involved. We apply this general result to the problem of finding and studying all extensions of the logic of paradox (viz., the implication-free fragment of any non-classical normal extension of the relevance-mingle logic). In order to sol
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21

Pathak, Surendra Raj, and Raj Narayan Yadav. "A study on Contact Algebra by Browerian Logic." Amrit Research Journal 1, no. 1 (2020): 78–85. http://dx.doi.org/10.3126/arj.v1i1.32458.

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There is a close relation between Boolean logic or two-valued logic and an electric di-contact algebra. Two-valued logic is concerned with propositions which are either true or false and which can be combined in various ways. Similarly, the switches of circuits are activated by contacts which, open or closed, can be combined in analogous ways. But there are positions which are not two-valued - a generalisation of truth values of a proposition leads to an n-valued logic. It is then natural to raise the query whether it is possible to generalise the notion of switching contact analogous to the g
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22

Hampton, Rosalind, and Michelle Hartman. "Whose values, who's valued?" Journal of Critical Race Inquiry 6, no. 1 (2019): 1–31. http://dx.doi.org/10.24908/jcri.v6i1.6997.

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The first week of February 2014 saw the tragic deaths of two young people in Québec: Naïma Rharouity, a Muslim woman and mother of two who died following an accident in a metro station and Alain Magloire, a Black man and father of two killed by the Montreal police. Muslim women and Black men are racialized within Québec society in significantly different ways from one another, in life as in death. This article analyzes the reactions to and representations of these two deaths in the specific context of Québec and how they fit into heavily racialized scripts. A Muslim woman is strangled to death
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23

BOBILLO, FERNANDO, MIGUEL DELGADO, JUAN GÓMEZ-ROMERO, and UMBERTO STRACCIA. "JOINING GÖDEL AND ZADEH FUZZY LOGICS IN FUZZY DESCRIPTION LOGICS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 20, no. 04 (2012): 475–508. http://dx.doi.org/10.1142/s0218488512500249.

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Ontologies have succeeded as a knowledge representation formalism in many domains of application. Nevertheless, they are not suitable to represent vague or imprecise information. To overcome this limitation, several extensions to classical ontologies based on fuzzy logic have been proposed. Even though different fuzzy logics lead to fuzzy ontologies with very different logical properties, the combined use of different fuzzy logics has received little attention to date. This paper proposes a fuzzy extension of the Description Logic [Formula: see text] — the logic behind the ontology language OW
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24

Непейвода, Н. Н. "Formalization as the Immanent Part of Logical Solving." Logical Investigations 24, no. 1 (2018): 129–45. http://dx.doi.org/10.21146/2074-1472-2018-24-1-129-145.

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The work is devoted to the logical analysis of the problem solving by logical means. It starts from general characteristic of the applied logic as a tool: 1. to bound logic with its applications in theory and practice; 2. to import methods and methodologies from other domains into logic; 3. to export methods and methodologies from logic into other domains. The precise solving of a precisely stated logical problem occupies only one third of the whole process of solving real problems by logical means. The formalizing precedes it and the deformalizing follows it. The main topic when considering f
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25

Hansen, Lars. "On an algebra of lattice-valued logic." Journal of Symbolic Logic 70, no. 1 (2005): 282–318. http://dx.doi.org/10.2178/jsl/1107298521.

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AbstractThe purpose of this paper is to present an algebraic generalization of the traditional two-valued logic. This involves introducing a theory of automorphism algebras, which is an algebraic theory of many-valued logic having a complete lattice as the set of truth values. Two generalizations of the two-valued case will be considered, viz., the finite chain and the Boolean lattice. In the case of the Boolean lattice, on choosing a designated lattice value, this algebra has binary retracts that have the usual axiomatic theory of the propositional calculus as suitable theory. This suitabilit
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26

Eriksson, Thérèse, Lars-Åke Levin, and Ann-Charlotte Nedlund. "Centrality and compatibility of institutional logics when introducing value-based reimbursement." Journal of Health Organization and Management 35, no. 9 (2021): 298–314. http://dx.doi.org/10.1108/jhom-01-2021-0010.

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PurposeUsing financial incentives has been criticised for putting too much focus on things that can be measured. Value-based reimbursement may better align professional values with financial incentives. However, professional values may differ between actor groups. In this article, the authors identify institutional logics within healthcare-providing organisations. Further, the authors analyse how the centrality and compatibility of the identified logics affect the institutionalisation of external demands.Design/methodology/approach41 semi-structured interviews were conducted with representativ
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27

Bakhtiyarov, Kamil I. "The Logic of Self-Organized Criticality." Studia Humana 4, no. 3 (2015): 37–40. http://dx.doi.org/10.1515/sh-2015-0018.

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Abstract A consideration of non-classical logic in terms of classical one allows us to show a role of designated truth values. In this way we show that our version of non-classical many-valued logic can be based on the structure of genetic code.
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28

HUET, GÉRARD. "Special issue on ‘Logical frameworks and metalanguages’." Journal of Functional Programming 13, no. 2 (2003): 257–60. http://dx.doi.org/10.1017/s0956796802004549.

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There is both a great unity and a great diversity in presentations of logic. The diversity is staggering indeed – propositional logic, first-order logic, higher-order logic belong to one classification; linear logic, intuitionistic logic, classical logic, modal and temporal logics belong to another one. Logical deduction may be presented as a Hilbert style of combinators, as a natural deduction system, as sequent calculus, as proof nets of one variety or other, etc. Logic, originally a field of philosophy, turned into algebra with Boole, and more generally into meta-mathematics with Frege and
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29

Jackendoff, Ray. "The Peculiar Logic of Value." Journal of Cognition and Culture 6, no. 3-4 (2006): 375–407. http://dx.doi.org/10.1163/156853706778554922.

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AbstractA system of values plays an important intermediary role in the human conceptual system. An individual associates a value – an abstract valence and quantity – with a past, present, or contemplated object or action in the environment, and uses values to help determine what actions to take. Value can be categorized into a number of different types, the most important of which for the purposes of the present article are affective value (how good the action is for someone), normative value (how good the action is of someone), and esteem (how good a reputation someone has). Normative value i
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30

Evans, R., M. Sergot, and A. Stephenson. "Formalizing Kant’s Rules." Journal of Philosophical Logic 49, no. 4 (2019): 613–80. http://dx.doi.org/10.1007/s10992-019-09531-x.

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AbstractThis paper formalizes part of the cognitive architecture that Kant develops in the Critique of Pure Reason. The central Kantian notion that we formalize is the rule. As we interpret Kant, a rule is not a declarative conditional stating what would be true if such and such conditions hold. Rather, a Kantian rule is a general procedure, represented by a conditional imperative or permissive, indicating which acts must or may be performed, given certain acts that are already being performed. These acts are not propositions; they do not have truth-values. Our formalization is related to the
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31

Schumann, Andrew. "Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic." Studia Humana 8, no. 2 (2019): 8–15. http://dx.doi.org/10.2478/sh-2019-0012.

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Abstract In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited by the Aristotelian idea of logical contingency. Nevertheless, we can construct a four-valued logic for explicating the Stoic idea of logical determinacy. In this system, we have the following truth values: 0 (‘possibly false), 1 (‘necessarily false’), 2 (‘possibly true’), 3 (‘necessarily true’), where the designated truth value is represented by the two values: 2 and 3.
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32

OTSUKA, Kazuhiko, Masashi EMOTO, and Masao MUKAIDONO. "Properties of Trapezoid Truth Values in Fuzzy Logic." Journal of Japan Society for Fuzzy Theory and Systems 11, no. 2 (1999): 338–46. http://dx.doi.org/10.3156/jfuzzy.11.2_154.

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33

Takagi, N., and K. Nakashima. "Discrete interval truth values logic and its application." IEEE Transactions on Computers 49, no. 3 (2000): 219–29. http://dx.doi.org/10.1109/12.841126.

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34

Svensson, Bengt E. Y. "Quantum Weak Values and Logic: An Uneasy Couple." Foundations of Physics 47, no. 3 (2017): 430–52. http://dx.doi.org/10.1007/s10701-017-0068-5.

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35

Kumar, Sameer, Thomas Ressler, and Mark Ahrens. "Systems thinking, a consilience of values and logic." Human Systems Management 24, no. 4 (2005): 259–74. http://dx.doi.org/10.3233/hsm-2005-24402.

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This article is an appeal to incorporate qualitative reasoning into quantitative topics and courses, especially those devoted to decision-making offered in colleges and universities. Students, many of whom join professional workforce, must become more systems thinkers and decision-makers than merely problem-solvers. This will entail discussion of systems thinking, not just reaching “the answer”. Managers will need to formally and forcefully discuss objectives and values at each stage of the problem-solving process – at the start, during the problem-solving stage, and at the interpretation of t
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36

Filiot, Emmanuel, Nicolas Mazzocchi, and Jean-François Raskin. "A Pattern Logic for Automata with Outputs." International Journal of Foundations of Computer Science 31, no. 06 (2020): 711–48. http://dx.doi.org/10.1142/s0129054120410038.

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We introduce a logic to express structural properties of automata with string inputs and, possibly, outputs in some monoid. In this logic, the set of predicates talking about the output values is parametric. We then consider three particular automata models (finite automata, transducers and automata weighted by integers here called sum-automata) and instantiate the generic logic for each of them. We give tight complexity results for the three logics with respect to the model-checking problem, depending on whether the formula is fixed or not. We study the expressiveness of our logics by express
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Kamide, Norihiro. "Inconsistency-Tolerant Multi-Agent Calculus." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 22, no. 06 (2014): 815–29. http://dx.doi.org/10.1142/s0218488514500433.

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Verifying and specifying multi-agent systems in an appropriate inconsistency-tolerant logic are of growing importance in Computer Science since computer systems are generally used by or composed of inconsistency-tolerant multi-agents. In this paper, an inconsistency-tolerant logic for representing multi-agents is introduced as a Gentzen-type sequent calculus. This logic (or calculus) has multiple negation connectives that correspond to each agent, and these negation connectives have the property of paraconsistency that guarantees inconsistency-tolerance. The logic proposed is regarded as a mod
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38

Gargov, George. "An Approach to Uncertainty via Sets of Truth Values." Notre Dame Journal of Formal Logic 36, no. 2 (1995): 235–68. http://dx.doi.org/10.1305/ndjfl/1040248457.

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39

Bailhache, Patrice, and Sven Ove Hansson. "The Structure of Values and Norms." Bulletin of Symbolic Logic 8, no. 4 (2002): 531. http://dx.doi.org/10.2307/797962.

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Gutiérrez García, J., and M. A. de Prada Vicente. "Characteristic values of -filters." Fuzzy Sets and Systems 156, no. 1 (2005): 55–67. http://dx.doi.org/10.1016/j.fss.2005.04.012.

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Duer, Stanisław, Dariusz Bernatowicz, Paweł Wrzesień, and Radosław Duer. "Diagnosing of a complex technical object in four-valued logic." Bulletin of the Military University of Technology 67, no. 1 (2018): 33–42. http://dx.doi.org/10.5604/01.3001.0011.8018.

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This paper presents the essence of an investigation of a complex technical object with the use of four-valued logic. To this end, an intelligent diagnostic system (DIAG 2) is described. A special feature of this system was its capability of inferring k at {k = 4, 3, 2}, in which case the logic {k = 4} is applied. An important part of this work was to present the theoretical foundations describing the essence of inference in the four-valued logic contemplated. It was also pointed out that the basis for classification of states in the multiple-valued logic of the diagnostic system (DIAG 2) was t
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Jamroga, Wojciech, Beata Konikowska, Damian Kurpiewski, and Wojciech Penczek. "Multi-valued Verification of Strategic Ability." Fundamenta Informaticae 175, no. 1-4 (2020): 207–51. http://dx.doi.org/10.3233/fi-2020-1955.

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Some multi-agent scenarios call for the possibility of evaluating specifications in a richer domain of truth values. Examples include runtime monitoring of a temporal property over a growing prefix of an infinite path, inconsistency analysis in distributed databases, and verification methods that use incomplete anytime algorithms, such as bounded model checking. In this paper, we present multi-valued alternating-time temporal logic ( mv-ATL → ∗ ), an expressive logic to specify strategic abilities in multi-agent systems. It is well known that, for branchingtime logics, a general method for mod
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43

Lu, Benny C., Anita Koo, and Ngai Pun. "Attempting to transgress neoliberal value: Constructing a micro-foundation of social values of working-class youth in vocational schools in China." Sociological Review 67, no. 5 (2019): 1050–65. http://dx.doi.org/10.1177/0038026119845552.

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In contrast to the existing argument that the logic of capital has monetised almost every aspect of human relationships to the realm of exchange value, this article explores the social values that are practised by Chinese working-class youth as an alternative form of agency and everyday practice. Instead of understanding social values as a realm of value operating entirely outside the logic of exchange value, this article takes social values as the constitutive other of exchange value embodied in the neoliberalised form of capitalism. It attempts to develop a micro-foundation of social values
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44

Delon, Francoise. "Extensions Separees et Immediates de Corps Values." Journal of Symbolic Logic 53, no. 2 (1988): 421. http://dx.doi.org/10.2307/2274514.

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45

Schang, Fabien. "The Football of Logic." Studia Humana 6, no. 1 (2017): 50–60. http://dx.doi.org/10.1515/sh-2017-0006.

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Abstract An analogy is made between two rather different domains, namely: logic, and football (or soccer). Starting from a comparative table between the two activities, an alternative explanation of logic is given in terms of players, ball, goal, and the like. Our main thesis is that, just as the task of logic is preserving truth from premises to the conclusion, footballers strive to keep the ball as far as possible until the opposite goal. Assuming this analogy may help think about logic in the same way as in dialogical logic, but it should also present truth-values in an alternative sense of
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46

Li, Wei, and Yuefei Sui. "Multisequent Gentzen Deduction Systems For B2 2-Valued First-Order Logic." Artificial Intelligence Research 7, no. 1 (2018): 53. http://dx.doi.org/10.5430/air.v7n1p53.

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For the four-element Boolean algebra B22, a multisequent Г|Δ|∑|∏ is a generalization of sequent Г→Δ in traditional B22 valued first-order logic. By defining the truth-values of quantified formulas, a Gentzen deduction system G22 for B22-valued first-order logic will be built and its soundness and completeness theorems will be proved.
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MEEHAN, GARY, and MIKE JOY. "Animated fuzzy logic." Journal of Functional Programming 8, no. 5 (1998): 503–25. http://dx.doi.org/10.1017/s0956796898003177.

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In this paper we aim to give an introduction to fuzzy logic using the language Haskell to implement our solutions. We shall see how the high-level, declarative nature of a functional language allows us to implement easily and efficiently solutions to problems using fuzzy logic and, in particular, how the presence of functions as first-class values allows us to model the key concept of the fuzzy subset in a natural way.
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48

SAKAI, HIROSHI, and AKIMICHI OKUMA. "ON A THEOREM PROVER FOR VARIATIONAL LOGIC PROGRAMS WITH FUNCTORS SETU AND SETS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 08, no. 01 (2000): 73–92. http://dx.doi.org/10.1142/s021848850000006x.

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We are now touching a problem how we add soft computing aspects to logic programming and we have been discussing null attribute values on logic programs. Here, we introduce two functors setu and sets into logic programs for describing indefinite attribute values explicitly. Every logic program with setu or sets has variability and tolerance in itself, namely this program expresses a set of possible definite logic programs. We call this program a variational logic program. In this paper, we show the variational logic programs and a theorem prover for them.
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49

Ohirko, Ihor, and Zinovii Partyko. "LOGIC OF RELATIVITY." Bulletin of Taras Shevchenko National University of Kyiv. Philosophy, no. 4 (2021): 42–52. http://dx.doi.org/10.17721/2523-4064.2021/4-4/12.

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The problem of the truth of statements is considered. This study had the goal to develop a logical theory that would allow considering the context (the paradigm) from which would depend on the truth of the statement. For the development of such a theory, called the logic of relativity, the following methods of research are used as abstraction, analysis (traditional), synthesis, deduction, formalisation, axiomatisation, logical method. In order to develop the logic of relativity, it is expedient to use the achievements in the area of situational logic. Under the situation, it is proposed to und
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50

Kuzmin, Evgeny A. "Logic of Interval Uncertainty." Modern Applied Science 8, no. 5 (2014): 152. http://dx.doi.org/10.5539/mas.v8n5p152.

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The scientific category of uncertainty refers to that group of terms, an interpretation of which is not unambiguous and exact. In non-eliminability of the category soft content barrier there is an objective transition to the interval uncertainty. This research is an attempt to solve the issue of estimating the interval uncertainty based on methods of a logical analysis and a comparison. The approach presented by the paper is opposed to known methods of a mechanical selection of values following a given function. In the course of the research, there has been introduced a concept of the “tenvers
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