Geodesic
A Modal Logic Based on Linearly Ordered $f$-Spaces
Algebra i logika, Tome 42 (2003) no. 3, pp. 320-337.

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A modal logic associated with the $f$-spaces introduced by Ershov is examined. We construct a modal calculus that is complete w.r.t. the class of all strictly linearly ordered $f_0$-frames, and the class of all strictly linearly ordered $f$-frames.
Keywords: modal logic, $f$-space, strictly linearly ordered $f$-frame, strictly linearly ordered $f_0$-frame. 
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V. F. Murzina. A Modal Logic Based on Linearly Ordered $f$-Spaces. Algebra i logika, Tome 42 (2003) no. 3, pp. 320-337. http://geodesic.mathdoc.fr/item/AL_2003_42_3_a4/

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