Priorean strict implication, Q and related systems

Studia Logica 69 (3):411-427 (2001)
We introduce a system PSI for a strict implication operator called Priorean strict implication. The semantics for PSI is based on partial Kripke models without accessibility relations. PSI is proved sound and complete with respect to that semantics, and Prior's system Q and related systems are shown to be fragments of PSI or of a mild extension of it.
Keywords strict implication  system Q  Arthur Prior  partial Kripke models
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DOI 10.1023/A:1013844211100
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