Autoepistemic logic of first order and its expressive power
β Scribed by Li-Yan Yuan
- Publisher
- Springer Netherlands
- Year
- 1994
- Tongue
- English
- Weight
- 1008 KB
- Volume
- 13
- Category
- Article
- ISSN
- 0168-7433
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π SIMILAR VOLUMES
DECIDABILITY AND DEFINABILITY RESULTS CONCERNING WELL-ORDERINGS AND SOME EXTENSIONS OF FIRST ORDER LOGIC by BOGDAN STANISLAW CHLEBUS in Warsaw (Poland) ## 1. Introdiirtion Let L\* denote a countable extension of the first order language L. I n this paper 1 ) definability of the class of well-order
We consider first order modal logic C firstly defined by Carnap in "Meaning and Necessity" [1]. We prove elimination of nested modalities for this logic, which gives additionally the Skolem-LΓΆwenheim theorem for C. We also evaluate the degree of unsolvability for C, by showing that it is exactly 0 .
We present a simpler way than usual to deduce the completeness theorem for the second-order classical logic from the ΓΏrst-order one. We also extend our method to the case of second-order intuitionistic logic.