#EmptyWord

2022-11-16

#DifferentialPropositionalCalculus • 2.4
inquiryintoinquiry.com/2020/02

#CactusCalculus Conventions —

The briefest expression for #LogicalTruth is the #EmptyWord, denoted \(\varepsilon\) or \(\lambda\) in #FormalLanguages, where it forms the #IdentityElement for #Concatenation. It may be given visible expression in this context by means of the logically equivalent form \(\texttt{((} ~ \texttt{))},\) or, especially if operating in an algebraic context, by a simple \(1.\)

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