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Table 8 Axioms for renaming

From: RETRACTED ARTICLE: An algebra of reversible computation

No.

Axiom

RRN1

\(\rho _f(\upsilon )=f(\upsilon )\)

RRN2

\(\rho _f(\upsilon [m])=f(\upsilon )[m]\)

RRN3

\(\rho _f(\delta )=\delta \)

RRN4

\(\rho _f(x+y)=\rho _f(x)+\rho _f(y)\)

RRN5

\(\rho _f(x\cdot y)=\rho _f(x)\cdot \rho _f(y)\)