--- a/model/ProvenanceModel.html Tue Dec 27 16:35:59 2011 -0500
+++ b/model/ProvenanceModel.html Mon Jan 02 18:40:20 2012 +0000
@@ -3340,106 +3340,125 @@
<section id="record-Collection">
<h3>Collections</h3>
-The purpose of this section is to enable modelling of part-of relationships amongst entities. In particular, a form of <strong>collection</strong> entity type is introduced, consisting of a set of key-value pairs. Key-value pairs provide a generic indexing structure that can be used to model commonly used data structures, including associative lists (also known as "dictionaries" in some programming languages), relational tables, ordered lists, and more.<br/>
-
-The relations introduced here are all specializations of the <a href="#record-Derivation"><strong>wasDerivedFrom</strong></a> relation, specifically precise-1 or imprecise-1. They are designed to model:
-
+Activity-entity assertions account for the provenance of entities in terms of how they are produced and consumed. The <em>collection</em> assertions introduced in this section complement those by offering a family of entity-entity assertions that can be used to express structural relationships amongst entities. Specifically, their purpose is to enable modelling of part-of relationships amongst entities. In particular, a form of <strong>collection</strong> entity type is introduced, consisting of a <strong>set of key-value pairs</strong>. Key-value pairs provide a generic indexing structure that can be used to model commonly used data structures, including associative lists (also known as "dictionaries" in some programming languages), relational tables, ordered lists, and more.<p/>
+
+Collections are entities that contain <strong>sets</strong> of key-value pairs. Both keys and values are also entities.
+
+The following record types are introduced to model (a) insertion of a new key-value pair into a collection and (c) removal of a key-value pair from a collection. Optionally, the time at which the insertion/deletion takes places can be specified.
+
+<p> Record: <span class="name">CollectionAfterInsertion(c2,c1, k, v, [t])</span> denotes that collection <span class="name">c2</span> is an updated version of collection <span class="name">c1</span>, following the insertion of pair <span class="name">(k,v)</span> into <span class="name">c1</span> (at time t).</p>
+
+<p> Record: <span class="name">CollectionAfterRemoval(c2,c1, k, [t])</span> denotes that collection <span class="name">c2</span> is an updated version of collection <span class="name">c1</span>, following the removal of pair <span class="name">(k,v)</span> from <span class="name">c1</span> (at time t), where <span class="name">v</span> is the value corresponding to key <span class="name">k</span> in <span class="name">c1</span>.</p>
+
+The intent of these records is to capture the history of changes to a collection, using <em>copy semantics</em>. This means that each insertion/removal operation generates a new collection, rather than updating the collection in place. Because these assertions state the derivation of a collection from another, formally they are specializations of the <a href="#record-Derivation"><strong>wasDerivedFrom</strong></a> relation, specifically precise-1 or imprecise-1.
+
+<div class="note">Given the specific nature of the derivation, the intervening activity that accounts for imprecise-1 derivation should have an equally specific type, such as" collection-insertion" and "collection-removal". This is left for a future version.</div>
+
+Because of the <strong>copy semantics</strong> interpretation of collection manipulation, one cannot have two assertions of the form:<br/>
+<span class="name">CollectionAfterInsertion(c2,c1, k1, v1, t1)</span><br/>
+<span class="name">CollectionAfterInsertion(c2,c1, k2, v2, t2)</span><br/>
+<em>within the same account.</em>, regardless of the values of <span class="name">k1, v1, k2, v2, t1, t2</span>.
+<p/>
+
+ The <strong>set semantics</strong> intepretation means that a collection cannot contain two pairs with the same key. In practice, the following two assertions:<br/>
+<span class="name">CollectionAfterInsertion(c2,c1, k, v, t1)</span><br/>
+<span class="name">CollectionAfterInsertion(c3,c2, k, v', t2)</span><br/>
+are interpreted as follows:<br/>
+ <span class="name">c2</span> was derived from <span class="name">c1</span> by adding pair <span class="name">(k,v)</span> to it (at time <span class="name">t1</span>).
+Then <span class="name">c3</span> was derived from <span class="name">c2</span> by replacing value <span class="name">v</span> with value <span class="name">v'</span> for key <span class="name">k</span>. Notice that, as an additional requirement, if both <span class="name">t1, t2</span> are specified, then <span class="name">t2>t1</span> must hold.<p/>
+
+A set of assertions that involve these records makes it possible, potentially, to obtain the the state of a collection at a certain point <span class="name">t</span> in time, by retrieving all the assertions that account for a sequence of changes to an original collections. Thus, the state of a collection can be reconstructed by means of a query (the specification of such query, however, is out of the scope of the PROV language).</br>
+
+There are two caveats to the statement above.
<ul>
- <li><strong>insertion</strong>: a collection entity c' is obtained from collection entity c, by adding entity e having key k to c;
- <li><strong>removal</strong>: a collection entity c' is obtained from collection entity c, by removing entity e having key k from c;
- <li><strong>selection</strong>: an entity e was selected from collection c using key k.
- </ul>
+
+ <li>Firstly, for the reconstruted state of a collection to be complete, it is necessary to assert a starting point in time, when the collection begins to exist.
+This is done by introducing the built-in type <span class="name">collection</span> for entities. Specifically, the assertion:</br>
+ <span class="name">entity(e, [prov:type="collection"]</span>
+is interpreted to mean that <span class="name">e</span> is a collection. If nothing else is known about the contents of <span class="name">e</span>, then it is assumed to be an empty collection.<p/>
+
+<li>Secondly, the <em>complete</em> state of a collection at a certain time may not be known, because there is no guarantee that all real insertion/deletion events have been recorded using collection assertions (note that the problem of state completeness is common to other provenance assertions, and not specific to the case of collections or part-of relations).
+
+</ul>
+
+The following examples illustrate how these assertions are expected to be used in practice.
+
+<div class="anexample">
+<pre class="codeexample">
+ <span class="name">entity(c, [prov:type="collection"])</span> // <span class="name">e</span> is now understood to be an empty collection
+ <span class="name">entity(k1).
+ <span class="name">entity(v1).
+ <span class="name">entity(k2).
+ <span class="name">entity(v2).
+
+ <span class="name">CollectionAfterInsertion(c1, c, k1, v1) </span> // c1 = { (k1,v1) }
+ <span class="name">CollectionAfterInsertion(c2, c1, k2, v2) </span> // c2 = { (k1,v1), (k2 v2) }
+ <span class="name">CollectionAfterRemoval(c3, c2, k1) </span> // c3 = { (k2,v2) }
+</pre>
+</div>
+
+Note that <span class="name">c</span> is a collection by the initial entity record assertion, while <span class="name">c1, c2, c3</span> are known to be collections as a consequence of their involvement in collection derivation assertions. Note also that the state of <span class="name">c3</span> can be obtained by querying the chain of derivations assertions involving insertions and removals, up to the starting point, <span class="name">c</span>.<p/>
+
+The following example illustrates how copy semantics may lead to multiple derivations from a single root collection, possibly by different asserters:
+
+<div class="anexample">
+<pre class="codeexample">
+ <span class="name">entity(c, [prov:type="collection"])</span> // <span class="name">e</span> is now understood to be an empty collection
+ <span class="name">entity(k1).
+ <span class="name">entity(v1).
+ <span class="name">entity(k2).
+ <span class="name">entity(v2).
+ <span class="name">entity(k3).
+ <span class="name">entity(v3).
+
+ <span class="name">CollectionAfterInsertion(c1, c, k1, v1) </span> // c1 = { (k1,v1) }
+ <span class="name">CollectionAfterInsertion(c2, c, k2, v2) </span> // c2 = { (k2 v2) }
+ <span class="name">CollectionAfterInsertion(c3, c1, k3,v3) </span> // c3 = { (k1,v1), (k3,v3) }
+</pre>
+</div>
+
+
A collection record is defined as follows.
<div class='grammar'>
<span class="nonterminal">collectionRecord</span> ::=
-<span class="nonterminal">collectionDerivationRecord</span>
-| <span class="nonterminal">keyDerivationRecord</span>
-| <span class="nonterminal">entityMembershipRecord</span>
+<span class="nonterminal">collectionInsertionRecord</span>
+| <span class="nonterminal">collectionRemovalRecord</span>
<br/>
- <span class="nonterminal">collectionDerivationRecord</span> ::=
-<span class="name">wasAddedTo_Coll</span>
+ <span class="nonterminal">collectionInsertionRecord</span> ::=
+<span class="name">CollectionAfterInsertion</span>
<span class="name">(</span>
- <span class="nonterminal">identifier</span>
+ <span class="nonterminal">cidentifier</span>
<span class="name">,</span>
-<span class="nonterminal">identifier</span>
- <span class="name">)</span>
- |
-<span class="name">wasRemovedFrom_Coll</span>
- <span class="name">(</span>
- <span class="nonterminal">identifier</span>
+<span class="nonterminal">cidentifier</span>
<span class="name">,</span>
-<span class="nonterminal">identifier</span>
+<span class="nonterminal">kidentifier</span>
+ <span class="name">,</span>
+<span class="nonterminal">videntifier</span>
+ [
+ <span class="name">,</span>
+<span class="nonterminal">time</span>
+ ]
<span class="name">)</span>
<br/>
- <span class="nonterminal">keyDerivationRecord</span> ::=
-<span class="name">wasAddedTo_Key</span>
+ <span class="nonterminal">collectionRemovalRecord</span> ::=
+ <span class="name">CollectionAfterRemoval</span>
<span class="name">(</span>
- <span class="nonterminal">identifier</span>
- <span class="name">,</span>
-<span class="nonterminal">identifier</span>
- <span class="name">)</span>
-|
-<span class="name">wasRemovedFrom_Key</span>
- <span class="name">(</span>
- <span class="nonterminal">identifier</span>
+ <span class="nonterminal">cidentifier</span>
<span class="name">,</span>
-<span class="nonterminal">identifier</span>
+<span class="nonterminal">cidentifier</span>
+ <span class="name">,</span>
+<span class="nonterminal">kidentifier</span>
+ [
+ <span class="name">,</span>
+<span class="nonterminal">time</span>
+ ]
<span class="name">)</span>
- <br/>
-
- <span class="nonterminal">entityMembershipRecord</span> ::=
-<span class="name">wasAddedTo_Entity</span>
- <span class="name">(</span>
- <span class="nonterminal">identifier</span>
- <span class="name">,</span>
-<span class="nonterminal">identifier</span>
- <span class="name">)</span>
-<br/>
+
</div>
-<p> Record: <span class="name">wasAddedTo_Coll(c2,c1)</span> (resp. <span class="name">wasRemovedFrom_Coll(c2,c1)</span>) denotes that collection <span class="name">c2</span> is an updated version of collection <span class="name">c1</span>, following an insertion (resp. deletion) operation.</p>
-
-<p> Record: <span class="name">wasAddedTo_Key(c,k)</span> (resp. <span class="name">wasRemovedFrom_Key(c,k)</span>) denotes that collection <span class="name">c</span> had
- a new value with key <span class="name">k</span> added to (resp. removed from) it.</p>
-
-<p> Record: <span class="name">wasAddedTo_Entity(c,e)</span> denotes that collection <span class="name">c</span> had entity
- <span class="name">e</span> added to it.
-</p>
-
-
-<div class="anexample">
-<p>Consider the following assertions:</p>
-<pre class="codeexample">
-
-
- <span class="name">wasAddedTo_Coll(c2,c1)</span>
- <span class="name">wasAddedTo_Key(c2,k1)</span>
- <span class="name">wasAddedTo_Entity(c2,e1)</span>
-
- <span class="name">wasAddedTo_Coll(c3,c2)</span>
- <span class="name">wasAddedTo_Key(c3,k2)</span>
- <span class="name">wasAddedTo_Entity(c3,e2)</span>
-
- <span class="name">wasRemovedFrom_Coll(c4,c3)</span>
- <span class="name">wasRemovedFrom_Key(c4,k1)</span>
-</pre>
-<p>The corresponding graphical representation is shown below.</p>
-
-<div style="text-align: center;">
-<img src="collections.png" alt="collections"/>
-</div>
-
-
-<p> With these assertions:</p>
- <ul>
- <li><span class="name">c2</span> is known to contain the key-value pair <span class="name">(k1,e1)</span>
- <li><span class="name">c3</span> is known to contain pairs <span class="name">(k1,e1)</span> and <span class="name">(k2,e2)</span>.
- <li><span class="name">c4</span> is known <em>not</em> to contain pair <span class="name">(k1,e1)</span> and to contain pair <span class="name">(k2,e2)</span>.
- </ul>
-</div>
</section>
--- a/model/example-graphical.graffle Tue Dec 27 16:35:59 2011 -0500
+++ b/model/example-graphical.graffle Mon Jan 02 18:40:20 2012 +0000
@@ -26,7 +26,7 @@
<key>MasterSheets</key>
<array/>
<key>ModificationDate</key>
- <string>2011-12-21 15:32:13 +0000</string>
+ <string>2011-12-21 15:32:52 +0000</string>
<key>Modifier</key>
<string>Paolo Missier</string>
<key>NotesVisible</key>
@@ -72,20 +72,20 @@
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<key>QuickLookThumbnail</key>
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</data>
<key>ReadOnly</key>
<string>NO</string>
@@ -3719,6 +3720,70 @@
<key>GraphicsList</key>
<array>
<dict>
+ <key>Bounds</key>
+ <string>{{803.5, 395}, {105, 28}}</string>
+ <key>Class</key>
+ <string>ShapedGraphic</string>
+ <key>FitText</key>
+ <string>YES</string>
+ <key>Flow</key>
+ <string>Resize</string>
+ <key>FontInfo</key>
+ <dict>
+ <key>Font</key>
+ <string>ArialMT</string>
+ <key>Size</key>
+ <real>12</real>
+ </dict>
+ <key>ID</key>
+ <integer>329</integer>
+ <key>Shape</key>
+ <string>AdjustableArrow</string>
+ <key>ShapeData</key>
+ <dict>
+ <key>width</key>
+ <real>3</real>
+ </dict>
+ <key>Style</key>
+ <dict>
+ <key>fill</key>
+ <dict>
+ <key>Draws</key>
+ <string>NO</string>
+ </dict>
+ <key>shadow</key>
+ <dict>
+ <key>Draws</key>
+ <string>NO</string>
+ </dict>
+ <key>stroke</key>
+ <dict>
+ <key>Draws</key>
+ <string>NO</string>
+ </dict>
+ </dict>
+ <key>Text</key>
+ <dict>
+ <key>Align</key>
+ <integer>0</integer>
+ <key>Pad</key>
+ <integer>0</integer>
+ <key>Text</key>
+ <string>{\rtf1\ansi\ansicpg1252\cocoartf1038\cocoasubrtf360
+{\fonttbl\f0\fswiss\fcharset0 ArialMT;}
+{\colortbl;\red255\green255\blue255;}
+\deftab720
+\pard\pardeftab720\ql\qnatural
+
+\f0\fs24 \cf0 wasAssociatedWith\
+}</string>
+ <key>VerticalPad</key>
+ <integer>0</integer>
+ </dict>
+ <key>Wrap</key>
+ <string>NO</string>
+ </dict>
+ <dict>
<key>Class</key>
<string>LineGraphic</string>
<key>Head</key>
@@ -18937,7 +19002,7 @@
<key>WindowInfo</key>
<dict>
<key>CurrentSheet</key>
- <integer>0</integer>
+ <integer>3</integer>
<key>ExpandedCanvases</key>
<array/>
<key>Frame</key>
@@ -18955,7 +19020,7 @@
<key>SidebarWidth</key>
<integer>120</integer>
<key>VisibleRegion</key>
- <string>{{0, -121}, {1446, 779}}</string>
+ <string>{{-320, -129}, {1446, 794}}</string>
<key>Zoom</key>
<real>1</real>
<key>ZoomValues</key>