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On the independence of Robinson's set of axioms for propositional calculus

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arxiv 2109.14745 v4 pith:URLT3JNW submitted 2021-09-29 math.LO

Benoît Jubin This is my paper · ORCID
classification math.LO
keywords axiomstruth-tableindependencenormalcalculusfive-valuedgivepropositional
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We give a normal five-valued truth-table proving independence of one of the axioms in Robinson's set of axioms for propositional calculus from 1968, answering a question raised in his article, where he uses a non-normal truth-table. We also give a normal four-valued truth-table proving independence of one of the other axioms, where he uses a normal five-valued truth-table.

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