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On the Proof-Theory of two Formalisations of Modal First-Order Logic

✍ Scribed by Yehuda Schwartz; George Tourlakis


Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
332 KB
Volume
96
Category
Article
ISSN
0039-3215

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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 .