On the Proof Theory of the Intermediate Logic MH
Seldin, Jonathan P.
J. Symbolic Logic, Tome 51 (1986) no. 1, p. 626-647 / Harvested from Project Euclid
A natural deduction formulation is given for the intermediate logic called MH by Gabbay in [4]. Proof-theoretic methods are used to show that every deduction can be normalized, that MH is the weakest intermediate logic for which the Glivenko theorem holds, and that the Craig-Lyndon interpolation theorem holds for it.
Publié le : 1986-09-14
Classification:  Intermediate logic MH,  normalization,  Glivenko theorem,  Craig-Lyndon interpolation theorem,  03B55,  03F05
@article{1183742161,
     author = {Seldin, Jonathan P.},
     title = {On the Proof Theory of the Intermediate Logic MH},
     journal = {J. Symbolic Logic},
     volume = {51},
     number = {1},
     year = {1986},
     pages = { 626-647},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183742161}
}
Seldin, Jonathan P. On the Proof Theory of the Intermediate Logic MH. J. Symbolic Logic, Tome 51 (1986) no. 1, pp.  626-647. http://gdmltest.u-ga.fr/item/1183742161/