Artículos de revistas
Approximations of modal logics: K and beyond
Fecha
2008Registro en:
ANNALS OF PURE AND APPLIED LOGIC, v.152, n.1/Mar, p.161-173, 2008
0168-0072
10.1016/j.apal.2007.11.009
Autor
RABELLO, Guilherme de Souza
FINGER, Marcelo
Institución
Resumen
Inspired by the recent work on approximations of classical logic, we present a method that approximates several modal logics in a modular way. Our starting point is the limitation of the n-degree of introspection that is allowed, thus generating modal n-logics. The semantics for n-logics is presented, in which formulas are evaluated with respect to paths, and not possible worlds. A tableau-based proof system is presented, n-SST, and soundness and completeness is shown for the approximation of modal logics K, T, D, S4 and S5. (c) 2008 Published by Elsevier B.V.