International Journal of Research in Undergraduate Mathematics EducationDawkins, P.C. (2017). On the Importance of Set-based Meanings for Categories and Connectives in Mathematical Logic. International Journal for Research in Undergraduate Mathematics Education, 1-27. DOI 10.1007/s40753-017-0055-4....
What is an axiom in mathematics? Is Modus Ponens in propositional calculus complete? What does completeness mean? Is modular arithmetic a part of discrete mathematics? Provide an interesting always/sometimes/never statement about abstract algebra. What is the relation between mathematical logic and set...
In this paper, we introduce a class of LA-logics with a countably infinite set of modal indices and we show that the satisfiability problem is PSPACE-complete for every logic of such a class. The upper bound is shown by exhibiting a tree structure of the models. This allows us to ...
2.8 Remark on scope A logical distinction between informational concurrency and sequ...Quantifiers, H, Above, N, Also, M (1993) Krynicki, “Hierarchies of partially ordered connectives and quantifiers”, in. Mathematical Logic Quarterley 39: pp. 287-294...
V. Tucker, editors, Proceedings of the 2nd Computability in Europe Conference (CiE 2006), Logical Approaches to Computational Barriers, volume 3988 of LNCS, pages 515-524. Springer, 2006.G. Sandu, J. Va¨a¨n¨anen, Partially ordered connectives, Mathematical Logic Quarterly 38 (1) (1992) ...
Mathematical LogicControl EngineerComputing MethodologyLogical ConnectiveLet Gmbe them-valued Gdel-Dummett fuzzy logic. Ifm≥3 then neither conjunction nor implication is in Gmexpressible in terms of the remaining connectives. This fact remains true even if the propositional language is enriched by ...
Theoretical or Mathematical/ Boolean functionsformal logic/ finite algebraalgebraic semanticsimplicational logicsclone theorybinary operationunary operationfunctional completeness/ C4210 Formal logic C1110 AlgebraWe consider certain finite universal algebras arising from algebraic semantics in implicational logics....
Martini, "Proof functional connectives and realizability," Archive for Mathematical Logic, vol. 33 (1994), pp. 189-211.Franco Barbanera and Simone Martini. 1994. Proof-functional connectives and realizability. Archive for Mathematical Logic 33 (1994), 189-211....
Mathematical Logic QuarterlyMartin, J. N., "A syntactic characterization of Kleene's strong connectives with two designated values," Zeitschrift fur Mathematische Logik und Grundlagen der Mathematik, vol. 21 (1975), pp. 181-184.A Syntactic Characterization of Kleene's Strong Connectives." ...
Theoretical or Mathematical/ fuzzy logicfuzzy neural netsfuzzy set theorylearning (artificial intelligence)/ distributed modelfuzzy set connectivesfuzzy set theorysemanticslogical connectivesneural network modelcompensatory characterThe development of logical connectives (operations) on fuzzy sets constitute a ...