A general proof method for modal predicate logic without the Barcan formula.
We present a general proof method for normal systems of modal predicate logic with identical inference rules for each such logic. Different systems are obtained by changing the conditions under which two formulas are considered complementary. The paper extends previous work in that we are no longer confined to models in which the Barcan formula and its converse hold. This allows the domain of individuals to vary from world to world. Modifications to the original inference rules are given, and a semantic justification is provided.
Association for the Advancement of Artificial Intelligence
Jackson, P., Reichgelt, H., (1988). A general proof method for modal predicate logic without the Barcan formula. Proceedings of the Seventh National Conference on Artificial Intelligence (AAAI-88), Saint Paul, MN, August 21-26, 1988 (pp. 177-181). AAAI.
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