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- W2109883950 abstract "Abstract We present an extension of the basic revision theory of circular definitions with a unary operator, □. We present a Fitch-style proof system that is sound and complete with respect to the extended semantics. The logic of the box gives rise to a simple modal logic, and we relate provability in the extended proof system to this modal logic via a completeness theorem, using interpretations over circular definitions, analogous to Solovay’s completeness theorem for GL using arithmetical interpretations. We adapt our proof to a special class of circular definitions as well as to the first-order case." @default.
- W2109883950 created "2016-06-24" @default.
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- W2109883950 date "2015-02-03" @default.
- W2109883950 modified "2023-10-16" @default.
- W2109883950 title "SOLOVAY-TYPE THEOREMS FOR CIRCULAR DEFINITIONS" @default.
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- W2109883950 doi "https://doi.org/10.1017/s1755020314000458" @default.
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