We introduce various kinds of fixed-point properties for modal logics, and we classify the most prominent systems according to these. Our goal is to do a first step towards a complete characterization of provability logics of (possibly non standard) derivability predicates for Peano Arithmetic.
@article{BUMI_1999_8_2B_2_279_0, author = {L. Sacchetti}, title = {Logiche modali con la propriet\`a del punto fisso}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {2-A}, year = {1999}, pages = {279-290}, zbl = {0929.03026}, mrnumber = {1706608}, language = {it}, url = {http://dml.mathdoc.fr/item/BUMI_1999_8_2B_2_279_0} }
Sacchetti, L. Logiche modali con la proprietà del punto fisso. Bollettino dell'Unione Matematica Italiana, Tome 2-A (1999) pp. 279-290. http://gdmltest.u-ga.fr/item/BUMI_1999_8_2B_2_279_0/
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