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The State Partition segment of the propositional program consists of three universal partition expressions, taken in conjunction expressing the condition that <math>M\!</math> has to be in one and only one of its states at each point in time under consideration.  In short, we have the constraint:

The State Partition segment of the propositional program consists of three universal partition expressions, taken in conjunction expressing the condition that <math>\operatorname{M}</math> has to be in one and only one of its states at each point in time under consideration.  In short, we have the constraint:

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<p>At each of the points in time <math>p_i,\!</math> for <math>i\!</math> in the set <math>\{ 0, 1, 2 \},\!</math></p>

<p>At each of the points in time <math>p_i,\!</math> for <math>i\!</math> in the set <math>\{ 0, 1, 2 \},\!</math></p>

<p><math>M\!</math> can be in exactly one state <math>q_j,\!</math> for <math>j\!</math> in the set <math>\{ 0, 1, \#, * \}.</math></p>

<p><math>\operatorname{M}</math> can be in exactly one state <math>q_j,\!</math> for <math>j\!</math> in the set <math>\{ 0, 1, \#, * \}.</math></p>

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