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Improves the definitions in Sec.18.1 (Initial Definitions) #138

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Improves the definitions in Sec.18.1 (Initial Definitions) #138

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38 changes: 28 additions & 10 deletions spec/index.html
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Expand Up @@ -7931,16 +7931,25 @@ <h4>RDF Dataset</h4>
<h4>Query Variables</h4>
<div class="defn">
<p><b>Definition: <span id="defn_QueryVariable">Query Variable</span></b></p>
<p>A <span class="definedTerm">query variable</span> is a member of the set V where V is
infinite and disjoint from RDF-T.</p>
<p>We assume a countably infinite set <var>V</var> that is disjoint
from the set of all <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF terms</a>.
Every member of this set <var>V</var> is a <span class="definedTerm">query variable</span>.</p>
</div>
</section>
<section id="sparqlTriplePatterns">
<h4>Triple Patterns</h4>
<div class="defn">
<p><b>Definition: <span id="defn_TriplePattern">Triple Pattern</span></b></p>
<p>A <span class="definedTerm">triple pattern</span> is member of the set:<br>
(RDF-T ∪ V) x (I ∪ V) x (RDF-T ∪ V)</p>
<p>A <span class="definedTerm">triple pattern</span> is a 3-tuple
(|s|, |p|, |o|) where:</p>
<ul>
<li>|s| is an <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF term</a>
or a <a href="#defn_QueryVariable">variable</a>,</li>
<li>|p| is an <a data-cite="RDF12-CONCEPTS#dfn-iri">IRI</a>
or a <a href="#defn_QueryVariable">variable</a>, and</li>
<li>|o| is an <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF term</a>
or a <a href="#defn_QueryVariable">variable</a>.</li>
</ul>
</div>
<p>This definition of Triple Pattern includes literal subjects.
<a href="http://www.w3.org/2000/03/rdf-tracking/#rdfms-literalsubjects">
Expand Down Expand Up @@ -7982,21 +7991,30 @@ <h4>Property Path Patterns</h4>
</div>
<div class="defn">
<p><b>Definition: <span id="defn_PropertyPathPattern">Property Path Pattern</span></b></p>
<p>Let PP be the set of all property path expressions. A property path pattern is a
member of the set:<br>
(RDF-T ∪ V) x PP x (RDF-T ∪ V)</p>
<p>A property path pattern is a 3-tuple (|s|, |p|, |o|) where:</p>
<ul>
<li>|s| is an <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF term</a>
or a <a href="#defn_QueryVariable">variable</a>,</li>
<li>|p| is a <a href="#defn_PropertyPathExpr">property path expression</a>, and</li>
<li>|o| is an <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF term</a>
or a <a href="#defn_QueryVariable">variable</a>.</li>
</ul>
</div>
<p>A Property Path Pattern is a generalization of a <a href="#defn_TriplePattern">Triple
Pattern</a> to include a property path expression in the property position.</p>
Pattern</a> to include a property path expression in the predicate position.</p>
</section>
<section id="sparqlSolutions">
<h4>Solution Mapping</h4>
<p>A solution mapping is a mapping from a set of variables to a set of RDF terms. We use
the term 'solution' where it is clear.</p>
<div class="defn">
<p><b>Definition: <span id="defn_sparqlSolutionMapping">Solution Mapping</span></b></p>
<p>A <b>solution mapping</b>, μ, is a partial function μ : V -&gt; RDF-T.</p>
<p>The domain of μ, dom(μ), is the subset of V where μ is defined.</p>
<p>A <b>solution mapping</b>, <var>μ</var>, is a partial function
<var>μ</var> : <var>V</var> → <var>T</var>, where
<var>V</var> is the set of all <a href="#defn_QueryVariable">variables</a> and
<var>T</var> is the set of all <a data-cite="RDF12-CONCEPTS#dfn-rdf-terms">RDF terms</a>.</p>
<p>The domain of <var>μ</var>, denoted by dom(<var>μ</var>), is the
subset of <var>V</var> for which <var>μ</var> is defined.</p>
</div>
<div class="defn">
<p><b>Definition: <span id="defn_sparqlSolutionSequence">Solution Sequence</span></b></p>
Expand Down
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