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November 28, 2014 / porton

Some new definitions, propositions, and conjectures

I added to this online article the following definitions, propositions, and conjectures:

Definition \boxbox f = \bigsqcap^{\mathsf{RLD}} \mathrm{up}^{\Gamma (\mathrm{Src}\, f ; \mathrm{Dst}\, f)} \, f for reloid f.

Obvious \boxbox f \sqsupseteq f for every reloid f.

Example (\mathsf{RLD})_{\Gamma} f \neq \boxbox (\mathsf{RLD})_{\mathrm{out}} f for some funcoid f.

Conjecture (\mathsf{RLD})_{\Gamma} f = \boxbox (\mathsf{RLD})_{\mathrm{in}} f for every funcoid f.

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