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A Modal Logic Based on Linearly Ordered f-Spaces
Authors:V. F. Murzina
Affiliation:(1) Akademika Koptyuga Prospekt, 4, Institute of Mathematics SB RAS, Novosibirsk, 630090, Russia
Abstract:A modal logic associated with the 
$$f$$
-spaces introduced by Ershov is examined. We construct a modal calculus that is complete w.r.t. the class of all strictly linearly ordered 
$${f_0 }$$
-frames, and the class of all strictly linearly ordered 
$$f$$
-frames.
Keywords:modal logic    IE5"  >  /content/t672867j5641206l/10469_2004_Article_469356_TeX2GIFIE5.gif"   alt="     $$f$$   "   align="  middle"   border="  0"  >-space  strictly linearly ordered   IE6"  >  /content/t672867j5641206l/10469_2004_Article_469356_TeX2GIFIE6.gif"   alt="     $$f$$   "   align="  middle"   border="  0"  >-frame  strictly linearly ordered   IE7"  >  /content/t672867j5641206l/10469_2004_Article_469356_TeX2GIFIE7.gif"   alt="     $${f_0 }$$   "   align="  middle"   border="  0"  >-frame
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