Completeness and decidability results for some propositional modal logics containing “actually” operators

Journal of Philosophical Logic 30 (1):57-78 (2001)
The addition of "actually" operators to modal languages allows us to capture important inferential behaviours which cannot be adequately captured in logics formulated in simpler languages. Previous work on modal logics containing "actually" operators has concentrated entirely upon extensions of KT5 and has employed a particular modeltheoretic treatment of them. This paper proves completeness and decidability results for a range of normal and nonnormal but quasi-normal propositional modal logics containing "actually" operators, the weakest of which are conservative extensions of K, using a novel generalisation of the standard semantics.
Keywords modal logic  possible worlds semantics  “actually” operators  rigidifiers
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DOI 10.1023/A:1017579410231
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References found in this work BETA
Krister Segerberg (1971). An Essay in Classical Modal Logic. Uppsala,Filosofiska Föreningen Och Filosofiska Institutionen Vid Uppsala Universitet.

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