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A propositional expression of this form can be read as follows:
A propositional expression of this form can be read as follows:
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<pre>
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{| align="center" cellpadding="8" width="90%"
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IF:
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|<math>\operatorname{If}</math>
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|-
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| At the time <math>p_i,\!</math> the tape cell <math>r_j\!</math> bears the mark <math>s_k,\!</math>
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|-
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| <math>\operatorname{But}</math> it is not the case that:
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|-
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| At the time <math>p_i,\!</math> the tape head is on the tape cell <math>r_j,\!</math>
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|-
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| <math>\operatorname{Then}</math>
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|-
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| At the time <math>p_{i+1},\!</math> the tape cell <math>r_j\!</math> bears the mark <math>s_k.\!</math>
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|}
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At the time p<i>, the tape cell r<j> bears the mark s<k>,
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The eighteen clauses of the Interaction Conditions simply impose one such constraint on symbol changes for each combination of the times <math>p_0, p_1,\!</math> registers <math>r_0, r_1, r_2,\!</math> and symbols <math>s_0, s_1, s_\#.\!</math>
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BUT it is NOT the case that:
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At the time p<i>, the tape head is on the tape cell r<j>,
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THEN:
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At the time p<i+1>, the tape cell r<j> bears the mark s<k>.
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</pre>
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The eighteen clauses of the Interaction Conditions simply impose one such constraint on symbol changes for each combination of the times <math>p_0, p_1,\!</math> registers <math>r_0, r_1, r_2,</math> and symbols <math>s_0, s_1, s_\#.\!</math>
===Transition Relations===
===Transition Relations===