Geodesic
Bases of admissible rules for $K$-saturated logics
Algebra i logika, Tome 47 (2008) no. 6, pp. 750-761.

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Admissible inference rules for table modal and superintuitionistic logics are investigated. $K$-saturated logics are defined semantically. Such logics are proved to have finite bases for admissible inference rules in finitely many variables.
Keywords: admissible inference rules, basis for admissible inference rules, table modal logic, superintuitionistic logic. 
@article{AL_2008_47_6_a4,
     author = {V. V. Rimatskii},
     title = {Bases of admissible rules for $K$-saturated logics},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2008_47_6_a4/}
}
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V. V. Rimatskii. Bases of admissible rules for $K$-saturated logics. Algebra i logika, Tome 47 (2008) no. 6, pp. 750-761. http://geodesic.mathdoc.fr/item/AL_2008_47_6_a4/

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[3] V. V. Rimatskiy, “Finite bases of admissible inference rules for modal logics of width 2”, Bull. Sect. Log. Univ. Lódź Dep. Log., 26:3 (1997), 126–134 | MR | Zbl