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Tarski's relevance logic; Version 2
[article]
2019
arXiv
pre-print
Tarski's relevance logic is defined and shown to contain many formulas and derived rules of inference. The definition arises from Tarski's work on first-order logic restricted to finitely many variables. It is a relevance logic because it contains the Basic Logic of Routley-Plumwood-Meyer-Brady, has Belnap's variable-sharing property, and avoids the paradoxes of implication. It does not include several formulas used as axioms in the Anderson-Belnap system R. For example, the Axiom of
arXiv:1901.06567v2
fatcat:wdbky3c7vrcfncj3ktgddr34re