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| | ==Current Work== | | ==Current Work== |
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| | + | <br> |
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| | + | In these terms, the SER for interpreter <math>\text{A}\!</math> yields the semiotic equations: |
| | + | |
| | + | {| cellpadding="10" |
| | + | | width="10%" | |
| | + | | <math>[{}^{\backprime\backprime} \text{A} {}^{\prime\prime}]_\text{A}\!</math> |
| | + | | <math>=\!</math> |
| | + | | <math>[{}^{\backprime\backprime} \text{i} {}^{\prime\prime}]_\text{A}\!</math> |
| | + | | width="20%" | |
| | + | | <math>[{}^{\backprime\backprime} \text{B} {}^{\prime\prime}]_\text{A}\!</math> |
| | + | | <math>=\!</math> |
| | + | | <math>[{}^{\backprime\backprime} \text{u} {}^{\prime\prime}]_\text{A}\!</math> |
| | + | |- |
| | + | | width="10%" | or |
| | + | | <math>{}^{\backprime\backprime} \text{A} {}^{\prime\prime}\!</math> |
| | + | | <math>=_\text{A}\!</math> |
| | + | | <math>{}^{\backprime\backprime} \text{i} {}^{\prime\prime}\!</math> |
| | + | | width="20%" | |
| | + | | <math>{}^{\backprime\backprime} \text{B} {}^{\prime\prime}\!</math> |
| | + | | <math>=_\text{A}\!</math> |
| | + | | <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime}\!</math> |
| | + | |} |
| | + | |
| | + | and the semiotic partition: <math>\{ \{ {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime} \} , \{ {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime} \} \}\!</math>. |
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| | + | In contrast, the SER for interpreter <math>\text{B}\!</math> yields the semiotic equations: |
| | + | |
| | + | {| cellpadding="10" |
| | + | | width="10%" | |
| | + | | <math>[{}^{\backprime\backprime} \text{A} {}^{\prime\prime}]_\text{B}\!</math> |
| | + | | <math>=\!</math> |
| | + | | <math>[{}^{\backprime\backprime} \text{u} {}^{\prime\prime}]_\text{B}\!</math> |
| | + | | width="20%" | |
| | + | | <math>[{}^{\backprime\backprime} \text{B} {}^{\prime\prime}]_\text{B}\!</math> |
| | + | | <math>=\!</math> |
| | + | | <math>[{}^{\backprime\backprime} \text{i} {}^{\prime\prime}]_\text{B}\!</math> |
| | + | |- |
| | + | | width="10%" | or |
| | + | | <math>{}^{\backprime\backprime} \text{A} {}^{\prime\prime}\!</math> |
| | + | | <math>=_\text{B}\!</math> |
| | + | | <math>{}^{\backprime\backprime} \text{u} {}^{\prime\prime}\!</math> |
| | + | | width="20%" | |
| | + | | <math>{}^{\backprime\backprime} \text{B} {}^{\prime\prime}\!</math> |
| | + | | <math>=_\text{B}\!</math> |
| | + | | <math>{}^{\backprime\backprime} \text{i} {}^{\prime\prime}\!</math> |
| | + | |} |
| | + | |
| | + | and the semiotic partition: <math>\{ \{ {}^{\backprime\backprime} \text{A} {}^{\prime\prime}, {}^{\backprime\backprime} \text{u} {}^{\prime\prime} \} , \{ {}^{\backprime\backprime} \text{B} {}^{\prime\prime}, {}^{\backprime\backprime} \text{i} {}^{\prime\prime} \} \}\!</math>. |
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| | <br> | | <br> |