Braids, Twists, Trace and Duality in Combinatory Algebras

From the lambda calculus and (some of) its “classic” graphical representations developed by Zeilberger, Hasegawa introduced a new lambda calculus, the “braided lambda calculus”, that keeps track of some geometrical interactions appearing naturally in Zeilberger’s work. From the braided lambda calculus, he developed a sound and complete axiomatization of various…

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