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This is a short description of graphic lambda calculus, with special emphasison a duality suggested by the two different appearances of knot diagrams, inlambda calculus and emergent algebra sectors of the graphic lambda calculusrespectively. This duality leads to the introduction of the dual of the graphicbeta move. While the graphic beta move corresponds to beta reduction in untypedlambda calculus, the dual graphic beta move appears in relation to emergentalgebras.

On graphic lambda calculus and the dual of the graphic beta move