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Gentzen’s and Jaśkowski’s formulations of natural deduction are logically equivalent in the normal sense of those words. However, Gentzen’s formulation more straightforwardly lends itself both to a normalization theorem and to a theory of “meaning” for connectives (which leads to a view of semantics called ‘inferentialism’). The present paper investigates cases where Jaskowski’s formulation seems...
In 1934 Jaśkowski and Gentzen independently published the first work on natural deduction. Since then a lot of work has been done on both practical and theoretical aspects of natural deduction, but the original ideas of both authors are still alive and involved in recent work. In this survey paper we characterize the general idea of natural deduction, briefly compare the original systems of Jaśkowski...
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