Varying modal theories (Q2639843)

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Varying modal theories
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    Varying modal theories (English)
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    1990
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    This paper explores a notion of modal theory (for first-order languages) in which the axioms and even the language itself may vary over possible worlds. A deductive system, based on the minimal system K, which allows such variation is defined and proved to be consistent and complete, using Henkin-style techniques. Extension of this approach to other modal systems (e.g., T, S.4, etc.) is also suggested.
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    modal logic
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    possible worlds
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    deductive system
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