Geodesic
On Reduced Products of Kripke Models
Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 117 .

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Ultraproducts of Kripke models for Induitionistic theories were defined by Cleave [1] and Gabbay [2]. In [3] and [4] Gabbay proved the ``Los's theorem'' and some other analogues of classical results. Here we consider the products of Kripke models reduced over arbitrary filters, so called reduced products. Several classes of formulas are defined, for which preservation results are proved. Some preliminary results on this topic were contained in [6].
Classification : 03C90 03B60 03F50 
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     author = {Zoran Markovi\'c},
     title = {On {Reduced} {Products} of {Kripke} {Models}},
     journal = {Publications de l'Institut Math\'ematique},
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     number = {48},
     year = {1983},
     language = {en},
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Zoran Marković. On Reduced Products of Kripke Models. Publications de l'Institut Mathématique, _N_S_34 (1983) no. 48, p. 117 . http://geodesic.mathdoc.fr/item/PIM_1983_N_S_34_48_a18/