A parametrized axiomatization for a large number of restricted second-order logics
نویسندگان
چکیده
Abstract By limiting the range of predicate variables in a second-order language, one may obtain restricted versions logic such as weak or definable subset logic. In this note, we provide an infinitary strongly complete axiomatization for several systems kind having parameter. The completeness argument uses simple techniques from theory Boolean algebras. This article is dedicated to our friend John N. Crossley on occasion his 86th birthday.
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ژورنال
عنوان ژورنال: Journal of Logic and Computation
سال: 2023
ISSN: ['1465-363X', '0955-792X']
DOI: https://doi.org/10.1093/logcom/exad050