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< ul class = "crumbs" > < li > < a href = "../index.html" > Home< / a > < / li > < li > < a href = "../services.html" > Services< / a > < / li > < li > < a href = "index.html" > calculus< / a > < / li > < li > < a href = "index.html#3" > Chapter 3: Binary Predicates< / a > < / li > < li > < b > Binary Predicate Term Details< / b > < / li > < / ul > < / div >
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< p class = "purpose" > To keep track of requirements on the terms for a binary predicate.< / p >
< p class = "commentary firstcommentary" > < a id = "SP1" class = "paragraph-anchor" > < / a > < b > § 1. < / b > Different BPs apply to different sorts of terms: for instance, the
numerical less-than comparison applies to numbers, whereas containment
applies to things. The two terms need not have the same domain: the
"wearing" relation, as seen in
< / p >
< blockquote >
< p > Harry Smythe wears the tweed waistcoat.< / p >
< / blockquote >
< p class = "commentary" > is a binary predicate \(W(x_0, x_1)\) such that \(x_0\) ranges across people
and \(x_1\) ranges across things.
< / p >
< p class = "commentary" > It's therefore helpful to record requirements on any given term of a BP,
and we do that with the following structure.< sup id = "fnref:1" > < a href = "#fn:1" rel = "footnote" > 1< / a > < / sup >
< / p >
< ul class = "footnotetexts" > < li class = "footnote" id = "fn:1" > < p class = "inwebfootnote" > < sup id = "fnref:1" > < a href = "#fn:1" rel = "footnote" > 1< / a > < / sup > Unary predicates do not use this structure, because it is slightly more
efficient to roughly duplicate this arrangement than to use it directly. But
the ideas are exactly the same.
< a href = "#fnref:1" title = "return to text" > ↩ < / a > < / p > < / li > < / ul >
< pre class = "definitions code-font" > < span class = "definition-keyword" > default< / span > < span class = "constant-syntax" > TERM_DOMAIN_CALCULUS_TYPE< / span > < span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > struct< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > kind< / span >
< / pre >
< pre class = "displayed-code all-displayed-code code-font" >
< span class = "reserved-syntax" > typedef< / span > < span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > struct< / span > < span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > struct< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > wording< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > called_name< / span > < span class = "plain-syntax" > ; < / span > < span class = "comment-syntax" > "(called...)" name, if any exists< / span >
< span class = "plain-syntax" > < / span > < span class = "constant-syntax" > TERM_DOMAIN_CALCULUS_TYPE< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > implies_infs< / span > < span class = "plain-syntax" > ; < / span > < span class = "comment-syntax" > the domain of values allowed< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > struct< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > kind< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > implies_kind< / span > < span class = "plain-syntax" > ; < / span > < span class = "comment-syntax" > the kind of these values< / span >
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< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > struct< / span > < span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > i6_schema< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > function_of_other< / span > < span class = "plain-syntax" > ; < / span > < span class = "comment-syntax" > where one term can be deduced from the other< / span >
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< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > char< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > index_term_as< / span > < span class = "plain-syntax" > ; < / span > < span class = "comment-syntax" > usually null, but if not, used in Phrasebook index< / span >
< span class = "plain-syntax" > } < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > ;< / span >
< / pre >
< ul class = "endnotetexts" > < li > The structure bp_term_details is accessed in 3/bp and here.< / li > < / ul >
< p class = "commentary firstcommentary" > < a id = "SP2" class = "paragraph-anchor" > < / a > < b > § 2. < / b > < / p >
< pre class = "displayed-code all-displayed-code code-font" >
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< span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::new< / span > < button class = "popup" onclick = "togglePopup('usagePopup1')" > < span class = "comment-syntax" > ?< / span > < span class = "popuptext" id = "usagePopup1" > Usage of < span class = "code-font" > < span class = "function-syntax" > BPTerms::new< / span > < / span > :< br / > < a href = "3-bptd.html#SP3" > § 3< / a > < br / > Binary Predicates - < a href = "3-bp.html#SP9" > § 9< / a > < br / > The Equality Relation - < a href = "3-ter.html#SP3" > § 3< / a > < / span > < / button > < span class = "plain-syntax" > (< / span > < span class = "constant-syntax" > TERM_DOMAIN_CALCULUS_TYPE< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > infs< / span > < span class = "plain-syntax" > ) {< / span >
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< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > called_name< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > EMPTY_WORDING< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > function_of_other< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > implies_infs< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > infs< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > implies_kind< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > index_term_as< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > }< / span >
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< span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::new_kind< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > kind< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > called_name< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > EMPTY_WORDING< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > function_of_other< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > implies_infs< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > implies_kind< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > index_term_as< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > }< / span >
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< / pre >
< p class = "commentary firstcommentary" > < a id = "SP3" class = "paragraph-anchor" > < / a > < b > § 3. < / b > And there is also a fuller version, including the inessentials:
< / p >
< pre class = "displayed-code all-displayed-code code-font" >
< span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::new_full< / span > < button class = "popup" onclick = "togglePopup('usagePopup2')" > < span class = "comment-syntax" > ?< / span > < span class = "popuptext" id = "usagePopup2" > Usage of < span class = "code-font" > < span class = "function-syntax" > BPTerms::new_full< / span > < / span > :< br / > The Equality Relation - < a href = "3-ter.html#SP3" > § 3< / a > < / span > < / button > < span class = "plain-syntax" > (< / span > < span class = "constant-syntax" > TERM_DOMAIN_CALCULUS_TYPE< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > infs< / span > < span class = "plain-syntax" > ,< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > kind< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > , < / span > < span class = "identifier-syntax" > wording< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > CW< / span > < span class = "plain-syntax" > , < / span > < span class = "reserved-syntax" > i6_schema< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > f< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > = < / span > < a href = "3-bptd.html#SP2" class = "function-link" > < span class = "function-syntax" > BPTerms::new< / span > < / a > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > infs< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > implies_kind< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > called_name< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > CW< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > .< / span > < span class = "element-syntax" > function_of_other< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > f< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > }< / span >
< / pre >
< p class = "commentary firstcommentary" > < a id = "SP4" class = "paragraph-anchor" > < / a > < b > § 4. < / b > In a few cases BPs need to be created before the relevant domains are known,
so that we must fill them in later, using the following:
< / p >
< pre class = "displayed-code all-displayed-code code-font" >
< span class = "reserved-syntax" > void< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::set_domain< / span > < span class = "plain-syntax" > (< / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > , < / span > < span class = "identifier-syntax" > kind< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > == < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ) < / span > < span class = "identifier-syntax" > internal_error< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "no BPTD"< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "identifier-syntax" > implies_kind< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "identifier-syntax" > implies_infs< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > TERM_DOMAIN_FROM_KIND_FUNCTION< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > K< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > }< / span >
< / pre >
< p class = "commentary firstcommentary" > < a id = "SP5" class = "paragraph-anchor" > < / a > < b > § 5. < / b > Some BPs are such that \(B(x, y)\) can be true for more or less any
combination of \(x\) and \(y\). Those can take a lot of storage and it is
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difficult to perform any reasoning about them, because knowing that
\(B(x, y)\) is true doesn't give you any information about \(B(x, z)\).
For instance, the BP created by
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< / p >
< blockquote >
< p > Suspicion relates various people to various people.< / p >
< / blockquote >
< p class = "commentary" > is stored at run-time in a bitmap of \(P^2\) bits, where \(P\) is the number
of people, and searching it ("if anyone suspects Harry") requires
exhaustive loops, which incur some speed overhead as well.
< / p >
< p class = "commentary" > But other BPs have special properties restricting the circumstances in
which they are true, and in those cases we want to capitalise on that.
"Contains" is an example of this. A single thing \(y\) can be (directly)
inside only one other thing \(x\) at a time, so that if we know \(C(x, y)\)
and \(C(w, y)\) then we can deduce that \(x=w\). We write this common value
as \(f_0(y)\), the only possible value for term 0 given that term 1 is \(y\).
Another way to say this is that the only possible pairs making \(C\) true
have the form \(C(f_0(y), y)\).
< / p >
< p class = "commentary" > And similarly for term 1. If we write \(T\) for the "on top of" relation
then it turns out that there is a function \(f_1\) such that the only cases
where \(T\) is true have the form \(T(x, f_1(x))\). Here \(f_1(x)\) is the thing
which directly supports \(x\).
< / p >
< p class = "commentary" > Containment has an \(f_0\) but not an \(f_1\) function; "on top of" has an
\(f_1\) but not an \(f_0\). Many BPs (like "suspicion" above) have neither.
< / p >
< p class = "commentary" > Note that if \(B\) does have an \(f_0\) function then its reversal \(R\) has an
identical \(f_1\) function, and vice versa.
< / p >
< p class = "commentary firstcommentary" > < a id = "SP6" class = "paragraph-anchor" > < / a > < b > § 6. < / b > We never in fact need to calculate the value of \(f_0(y)\) from \(y\) during
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compilation — only at run-time. So we store the function \(f_0(y)\) in an
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< a href = "3-cs.html#SP2" class = "internal" > i6_schema< / a > for the necessary run-time code. For example, this might be
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the schema < span class = "extract" > < span class = "extract-syntax" > ContainerOf(*1)< / span > < / span > , which would code-generate to a function call.
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< / p >
< pre class = "displayed-code all-displayed-code code-font" >
< span class = "reserved-syntax" > void< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::set_function< / span > < span class = "plain-syntax" > (< / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > , < / span > < span class = "reserved-syntax" > i6_schema< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > f< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > == < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ) < / span > < span class = "identifier-syntax" > internal_error< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "no BPTD"< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "identifier-syntax" > function_of_other< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > f< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > }< / span >
< span class = "reserved-syntax" > i6_schema< / span > < span class = "plain-syntax" > *< / span > < span class = "function-syntax" > BPTerms::get_function< / span > < span class = "plain-syntax" > (< / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > == < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ) < / span > < span class = "identifier-syntax" > internal_error< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "no BPTD"< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > function_of_other< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > }< / span >
< / pre >
< p class = "commentary firstcommentary" > < a id = "SP7" class = "paragraph-anchor" > < / a > < b > § 7. < / b > The kind of a term is:
< / p >
< pre class = "displayed-code all-displayed-code code-font" >
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< span class = "identifier-syntax" > kind< / span > < span class = "plain-syntax" > *< / span > < span class = "function-syntax" > BPTerms::kind< / span > < button class = "popup" onclick = "togglePopup('usagePopup3')" > < span class = "comment-syntax" > ?< / span > < span class = "popuptext" id = "usagePopup3" > Usage of < span class = "code-font" > < span class = "function-syntax" > BPTerms::kind< / span > < / span > :< br / > Binary Predicates - < a href = "3-bp.html#SP7" > § 7< / a > < / span > < / button > < span class = "plain-syntax" > (< / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ) {< / span >
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< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > == < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ) < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > NULL< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > implies_kind< / span > < span class = "plain-syntax" > ) < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > implies_kind< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > TERM_DOMAIN_TO_KIND_FUNCTION< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > implies_infs< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > }< / span >
< / pre >
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< p class = "commentary firstcommentary" > < a id = "SP8" class = "paragraph-anchor" > < / a > < b > § 8. < / b > The table of relations in the index uses the textual name, so:
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< / p >
< pre class = "displayed-code all-displayed-code code-font" >
< span class = "reserved-syntax" > void< / span > < span class = "plain-syntax" > < / span > < span class = "function-syntax" > BPTerms::index< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > OUTPUT_STREAM< / span > < span class = "plain-syntax" > , < / span > < span class = "reserved-syntax" > bp_term_details< / span > < span class = "plain-syntax" > *< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > ) {< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > index_term_as< / span > < span class = "plain-syntax" > ) { < / span > < span class = "identifier-syntax" > WRITE< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "%s"< / span > < span class = "plain-syntax" > , < / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > index_term_as< / span > < span class = "plain-syntax" > ); < / span > < span class = "reserved-syntax" > return< / span > < span class = "plain-syntax" > ; }< / span >
< span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > wording< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > W< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > EMPTY_WORDING< / span > < span class = "plain-syntax" > ;< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > implies_infs< / span > < span class = "plain-syntax" > ) < / span > < span class = "identifier-syntax" > W< / span > < span class = "plain-syntax" > = < / span > < span class = "identifier-syntax" > TERM_DOMAIN_WORDING_FUNCTION< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > bptd< / span > < span class = "plain-syntax" > -> < / span > < span class = "element-syntax" > implies_infs< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > < / span > < span class = "reserved-syntax" > if< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > Wordings::nonempty< / span > < span class = "plain-syntax" > (< / span > < span class = "identifier-syntax" > W< / span > < span class = "plain-syntax" > )) < / span > < span class = "identifier-syntax" > WRITE< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "%W"< / span > < span class = "plain-syntax" > , < / span > < span class = "identifier-syntax" > W< / span > < span class = "plain-syntax" > ); < / span > < span class = "reserved-syntax" > else< / span > < span class = "plain-syntax" > < / span > < span class = "identifier-syntax" > WRITE< / span > < span class = "plain-syntax" > (< / span > < span class = "string-syntax" > "--"< / span > < span class = "plain-syntax" > );< / span >
< span class = "plain-syntax" > }< / span >
< / pre >
< nav role = "progress" > < div class = "progresscontainer" >
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< ul class = "progressbar" > < li class = "progressprev" > < a href = "3-bpf.html" > ❮ < / a > < / li > < li class = "progresschapter" > < a href = "P-wtmd.html" > P< / a > < / li > < li class = "progresschapter" > < a href = "1-cm.html" > 1< / a > < / li > < li class = "progresschapter" > < a href = "2-up.html" > 2< / a > < / li > < li class = "progresscurrentchapter" > 3< / li > < li class = "progresssection" > < a href = "3-bpf.html" > bpf< / a > < / li > < li class = "progresscurrent" > bptd< / li > < li class = "progresssection" > < a href = "3-bp.html" > bp< / a > < / li > < li class = "progresssection" > < a href = "3-ter.html" > ter< / a > < / li > < li class = "progresssection" > < a href = "3-cs.html" > cs< / a > < / li > < li class = "progresschapter" > < a href = "4-trm.html" > 4< / a > < / li > < li class = "progresschapter" > < a href = "5-sc.html" > 5< / a > < / li > < li class = "progressnext" > < a href = "3-bp.html" > ❯ < / a > < / li > < / ul > < / div >
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< / nav > <!-- End of weave -->
< / main >
< / body >
< / html >