COMPLETENESS RESULTS FOR SOME TWO-DIMENSIONAL LOGICS OF ACTUALITY

被引:2
作者
Gilbert, David R. [1 ]
Mares, Edwin D. [1 ]
机构
[1] Victoria Univ Wellington, Ctr Log Language & Computat, Wellington, New Zealand
关键词
D O I
10.1017/S1755020311000384
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We provide a Hilbert-style axiomatization of the logic of 'actually', as well as a two-dimensional semantics with respect to which our logics are sound and complete. Our completeness results are quite general, pertaining to all such actuality logics that extend a normal and canonical modal basis. We also show that our logics have the strong finite model property and permit straight-forward first-order extensions.
引用
收藏
页码:239 / 258
页数:20
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