
Abstract In this paper, we introduce and study an alternative definition of tense operators on residuated lattices. We give a categorical equivalence for the class of tense ICRDL-algebras, which is motivated by an old construction by J. Kalman. The paper concludes with some applications regarding descriptions of congruences and a 2-contextual translation.
TENSE OPERATOR, Mathematics - Category Theory, Mathematics - Logic, KALMAN'S CONSTRUCTION, 3B44, 06D20, 06D50, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Category Theory (math.CT), https://purl.org/becyt/ford/1, Logic (math.LO), RESIDUATED LATTICE
TENSE OPERATOR, Mathematics - Category Theory, Mathematics - Logic, KALMAN'S CONSTRUCTION, 3B44, 06D20, 06D50, FOS: Mathematics, https://purl.org/becyt/ford/1.1, Category Theory (math.CT), https://purl.org/becyt/ford/1, Logic (math.LO), RESIDUATED LATTICE
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