diff --git a/Paper.tex b/Paper.tex index 3efa796d..09953050 100644 --- a/Paper.tex +++ b/Paper.tex @@ -1180,9 +1180,9 @@ \subsection{State \& Nonce Validation}\label{sec:statenoncevalidation} \Upsilon^{\mathrm{z}}(\boldsymbol{\sigma}[n - 1], B_{\mathbf{T}}[n]) \end{equation} -\hypertarget{Pi}{}Finally, we define $\Pi$ as the new state given the block reward function $\Omega$ applied to the final transaction's resultant state, $\hyperlink{ell}{\ell}(\boldsymbol{\sigma})$: +\hypertarget{Pi}{}Finally, we define $\Pi$ as the new state given the block reward function $\hyperlink{Omega}{\Omega}$ applied to the final transaction's resultant state, $\hyperlink{ell}{\ell}(\boldsymbol{\sigma})$: \begin{equation} -\Pi(\boldsymbol{\sigma}, B) \equiv \Omega(B, \ell(\boldsymbol{\sigma})) +\Pi(\boldsymbol{\sigma}, B) \equiv \hyperlink{Omega}{\Omega}(B, \ell(\boldsymbol{\sigma})) \end{equation} Thus the complete block-transition mechanism is defined, except for $\mathtt{PoW}$, the proof-of-work function.