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Logic for abstract hoop twist-structures
Authors:Shokoofeh Ghorbani
Institution:Department of Pure Mathematics, Faculty of Mathematics and Computer, Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
Abstract:In this paper, we introduce and study a logic that corresponds to abstract hoop twist-structures and present some results on this logic. We prove the local deductive theorem for this logic and show that this logic is algebraizable with respect to the quasi-variety of abstract hoop twist-structures.
Keywords:03B99  03B22  03B50  03C07  Algebraizable logic  Twist structure  AHT-algebra  Hoop
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