Geodesic
An explicit basis for admissible inference rules in table modal logics of width~2
Algebra i logika, Tome 48 (2009) no. 1, pp. 122-148.

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We construct an explicit finite basis for admissible inference rules in an arbitrary modal logic of width 2 extending the logic $Grz$.
Keywords: admissible inference rules, modal logic. 
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V. V. Rimatskii. An explicit basis for admissible inference rules in table modal logics of width~2. Algebra i logika, Tome 48 (2009) no. 1, pp. 122-148. http://geodesic.mathdoc.fr/item/AL_2009_48_1_a4/

[1] P. Lorenzen, Einfuhrung in die operative Logik und Mathematik, Die Grundlehren der mathematischen Wissenschaften, 78, Springer-Verlag, Berlin–Gottingen–Heidelberg, 1955 | MR | Zbl

[2] H. Friedman, “One hundred and two problems in mathematical logic”, J. Symb. Log., 40:3 (1975), 113–129 | DOI | MR | Zbl

[3] V. V. Rybakov, Admissibility of logical inference rules, Stud. Log. Found. Math., 136, Elsevier Sci. Publ. B. V., Amsterdam, 1997 | MR | Zbl

[4] S. Ghilardi, “Unification in intuitionistic logic”, J. Symb. Log., 64:2 (1999), 859–880 | DOI | MR | Zbl

[5] A. I. Tsitkin, “O dopustimykh pravilakh intuitsionistskoi logiki vyskazyvanii”, Matem. sb., 102(144):2 (1977), 314–323 | MR | Zbl

[6] V. V. Rybakov, “Bazisy dopustimykh pravil logik $S4$ i $Int$”, Algebra i logika, 24:1 (1985), 87–107 | MR | Zbl

[7] V. V. Rybakov, “Bazisy dopustimykh pravil modalnoi sistemy Grz i intuitsionistskoi logiki”, Matem. sb., 128(170):3 (1985), 321–338 | MR | Zbl

[8] V. V. Rimatskii, “Bazisy dopustimykh pravil vyvoda tablichnykh modalnykh logik glubiny 2”, Algebra i logika, 35:5 (1996), 612–622 | MR

[9] V. V. Rimatskii, “O konechnoi baziruemosti po dopustimosti modalnykh logik shiriny 2”, Algebra i logika, 38:4 (1999), 436–455 | MR

[10] V. V. Rybakov, M. Terziler, V. Rimazki, “Bases in semi-reduced form for admissible rules of the intuitionistic logic IPC”, Math. Log. Quart., 46:2 (2000), 207–218 | 3.0.CO;2-E class='badge bg-secondary rounded-pill ref-badge extid-badge'>DOI | MR | Zbl

[11] R. Iemhoff, “On the admissible rules of intuitionistic propositional logic”, J. Symb. Log., 66:2 (2001), 281–294 | DOI | MR | Zbl

[12] R. Iemhoff, “A(nother) characterization of intuitionistic propositional logic”, Ann. Pure Appl. Logic, 113:1–3 (2002), 161–173 | MR | Zbl

[13] V. V. Rybakov, “An explicit basis for rules admissible in modal system $S4$”, Bull. Sect. Log. Univ. Lodz, 28:3 (1999), 135–143 | MR | Zbl