## A modal logic based on linearly ordered $$f$$-spaces.(Russian, English)Zbl 1032.03010

Algebra Logika 42, No. 3, 320-337 (2003); translation in Algebra Logic 42, No. 3, 181-191 (2003).
The notion of an $$f$$-space was introduced by Yu. L. Ershov [Theorie der Numerierungen. II. Z. Math. Logik Grundlagen Math. 21, 473-584 (1975; Zbl 0344.02031)]. The author considers $$f$$-spaces as scales for modal logics and finds a complete axiomatization for all such strictly ordered scales.

### MSC:

 03B45 Modal logic (including the logic of norms)

### Keywords:

modal logic; $$f$$-space

Zbl 0344.02031
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