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| {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%" | | {| align="center" border="1" cellpadding="8" cellspacing="0" style="text-align:center; width:90%" |
− | |+ '''Table 14.1 Semantic Translation : Functional Form''' | + | |+ '''Table 14.2 Semantic Translation : Equational Form''' |
| |- style="background:whitesmoke" | | |- style="background:whitesmoke" |
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| {| align="center" border="0" cellpadding="8" cellspacing="0" style="background:whitesmoke; width:100%" | | {| align="center" border="0" cellpadding="8" cellspacing="0" style="background:whitesmoke; width:100%" |
− | | width="20%" | <math>\operatorname{Sentence}</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Sentence} \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow[\operatorname{~~~~~~~~~~}]{\operatorname{Parse}}</math> | + | | width="20%" | <math>\stackrel{\operatorname{Parse}}{=}</math> |
− | | width="20%" | <math>\operatorname{Graph}</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Graph} \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow[\operatorname{~~~~~~~~~~}]{\operatorname{Denotation}}</math> | + | | width="20%" | <math>\stackrel{\operatorname{Denotation}}{=}</math> |
| | width="20%" | <math>\operatorname{Proposition}</math> | | | width="20%" | <math>\operatorname{Proposition}</math> |
| |} | | |} |
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| {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" | | {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" |
− | | width="20%" | <math>s_j\!</math> | + | | width="20%" | <math>\downharpoonleft s_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
− | | width="20%" | <math>C_j\!</math> | + | | width="20%" | <math>\downharpoonleft C_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
| | width="20%" | <math>q_j\!</math> | | | width="20%" | <math>q_j\!</math> |
| |} | | |} |
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| {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" | | {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" |
− | | width="20%" | <math>\operatorname{Conc}^0</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Conc}^0 \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
− | | width="20%" | <math>\operatorname{Node}^0</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Node}^0 \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
| | width="20%" | <math>\underline{1}</math> | | | width="20%" | <math>\underline{1}</math> |
| |- | | |- |
− | | width="20%" | <math>\operatorname{Conc}^k_j s_j</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Conc}^k_j s_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
− | | width="20%" | <math>\operatorname{Node}^k_j C_j</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Node}^k_j C_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
| | width="20%" | <math>\operatorname{Conj}^k_j q_j</math> | | | width="20%" | <math>\operatorname{Conj}^k_j q_j</math> |
| |} | | |} |
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| {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" | | {| align="center" border="0" cellpadding="8" cellspacing="0" width="100%" |
− | | width="20%" | <math>\operatorname{Surc}^0</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Surc}^0 \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
− | | width="20%" | <math>\operatorname{Lobe}^0</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Lobe}^0 \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
| | width="20%" | <math>\underline{0}</math> | | | width="20%" | <math>\underline{0}</math> |
| |- | | |- |
− | | width="20%" | <math>\operatorname{Surc}^k_j s_j</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Surc}^k_j s_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
− | | width="20%" | <math>\operatorname{Lobe}^k_j C_j</math> | + | | width="20%" | <math>\downharpoonleft \operatorname{Lobe}^k_j C_j \downharpoonright</math> |
− | | width="20%" | <math>\xrightarrow{\operatorname{~~~~~~~~~~}}</math> | + | | width="20%" | <math>=\!</math> |
| | width="20%" | <math>\operatorname{Surj}^k_j q_j</math> | | | width="20%" | <math>\operatorname{Surj}^k_j q_j</math> |
| |} | | |} |