Geodesic
Table admissible inference rules
Algebra i logika, Tome 48 (2009) no. 3, pp. 400-414

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A recursive basis of inference rules is described which are instantaneously admissible in all table (residually finite) logics extending one of the logics $\mathrm{Int}$ and $Grz$. A rather simple semantic criterion is derived to determine whether a given inference rule is admissible in all table superintuitionistic logics, and the relationship is established between admissibility of a rule in all table (residually finite) superintuitionistic logics and its truth values in $\mathrm{Int}$.
Keywords: inference rules, table logic, superintuitionistic logic. 
@article{AL_2009_48_3_a4,
     author = {V. V. Rimatskii},
     title = {Table admissible inference rules},
     journal = {Algebra i logika},
     pages = {400--414},
     publisher = {mathdoc},
     volume = {48},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2009_48_3_a4/}
}
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V. V. Rimatskii. Table admissible inference rules. Algebra i logika, Tome 48 (2009) no. 3, pp. 400-414. http://geodesic.mathdoc.fr/item/AL_2009_48_3_a4/