Abstract

The system C of Pottinger (1974) has as primitive logical constants = (entailment), -9 (S4 strict implication), -, (relevant implication), D (intuitionist implication), & (intuitionist conjunction), v (intuitionist disjunction), and A (absurdity). In Section 8 of Pottinger (1974) it was pointed out that the addition of either 2-A A or 2B 2A .A B2 to C collapses -* into material implication and that the addition of either 21A * A or

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