Geodesic
Intuitionistic predicate logic with the connective ``tomorrow''
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 19-22

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We formulate a Gentzen-type system for an intuitionistic logic with an additional unary connective. This connective is interpreted in the class of tree-like Kripke models by the notion “tomorrow”. The logicis sound and complete in this class of models. 
@article{VMUMM_1982_4_a4,
     author = {A. D. Yashin},
     title = {Intuitionistic predicate logic with the connective ``tomorrow''},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {19--22},
     publisher = {mathdoc},
     number = {4},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a4/}
}
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A. D. Yashin. Intuitionistic predicate logic with the connective ``tomorrow''. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (1982), pp. 19-22. http://geodesic.mathdoc.fr/item/VMUMM_1982_4_a4/