Notations

The following symbols are used in the document to either notate an actor, concept, or action:

Item	Notation symbol
A global set of all nodes in the MOI network	$\boldsymbol{K}$
The existing state of the Participant	$\boldsymbol{\pi(Pi)}$
New/updated state of the Participant	𝝅’ (Pi dash)
Account address	$\boldsymbol{A}$
Sender Participant	$\boldsymbol{S}$
Receiver Participant	$\boldsymbol{R}$
Behavioral Context Nodes	$\boldsymbol{\alpha(Alpha)}$
Random Context Nodes	$\boldsymbol{\beta(Beta)}$
User-preferred Context Nodes	$\boldsymbol{\gamma(Gamma)}$
Interaction	$\boldsymbol{\Iota(Iota)}$
Tesseract	$\boldsymbol{\tau(Tau)}$
Tesseract Lattice	$\boldsymbol{\tau L(Tau L)}$
Tesseract Grid	$\boldsymbol{\tau G(Tau G)}$
Participant’s Context	$\boldsymbol{\chi(Chi)}$
Eligible nodes in the ICS	$\boldsymbol{E}$
Application account	$\boldsymbol{C}$
Application developer account	$\boldsymbol{D}$
Raw evidence data	$\boldsymbol{EVD}$
The public key of the participant account	$\boldsymbol{\omega(Omega)}$
The private key of the participant account	$\boldsymbol{\xi(Xi)}$
TDU	$\boldsymbol{\rho(Rho)}$
Nonce	$\boldsymbol{\omicron(Omicron)}$
Storage root	$\boldsymbol{\Zeta(Zeta)}$
File root	$\boldsymbol{\Tau(Capital \ Tau)}$
Logic root	$\boldsymbol{\iota(Small \ Iota)}$
Node	$\boldsymbol{N}$
ICS	$\boldsymbol{F}$
Mempool	$\boldsymbol{M}$
Generator node	$\boldsymbol{N_G}$
Operator node	$\boldsymbol{N_O}$
Validator node	$\boldsymbol{N_V}$
Observer node	$\boldsymbol{N_B}$
Vote	$\boldsymbol{V}$
NTQ	$\boldsymbol{\theta(Theta)}$
IQ	$\boldsymbol{IQ}$
PQ	$\boldsymbol{PQ}$
Validator stake	$\boldsymbol{\phi(Phi)}$
Fee	$\boldsymbol{\kappa(Kappa)}$
ANU	$\boldsymbol{\nu(Nu)}$
Signing the interaction	$\boldsymbol{\psi(Psi)}$
Broadcasting	$\boldsymbol{\lambda(Lambda)}$
State transition	$\boldsymbol{\upsilon(Upsilon)}$
Achieving consensus	$\boldsymbol{\nabla(Nabla)}$
Minimum MTQ Size	$\boldsymbol{MTQ_{min}}$
Network Size	$\boldsymbol{\sigma(Sigma)}$
Maximum MTQ Size	$\boldsymbol{MTQ_{max}}$
MTQ size specified by the user	$\boldsymbol{MTQ_{user}}$

Table: Notation table listing all the symbols used in the document