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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>SPARQL with Qualitative and Quantitative Preferences</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Position Paper</string-name>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Marina Gueroussova</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Axel Polleres</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sheila A. McIlraith</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computer Science, University of Toronto</institution>
          ,
          <addr-line>Toronto</addr-line>
          ,
          <country country="CA">Canada</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Vienna University of Economics and Business</institution>
          ,
          <addr-line>Welthandelsplatz 1, 1020 Vienna</addr-line>
          ,
          <country country="AT">Austria</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The volume and diversity of data that is queriable via SPARQL and its increasing integration motivate the desire to query SPARQL information sources via the specification of preferred query outcomes. Such preference-based queries support the ordering of query outcomes with respect to a user's measure of the quality of the response. In this position paper we argue for the incorporation of preference queries into SPARQL. We propose an extension to the SPARQL query language that supports the specification of qualitative and quantitative preferences over query outcomes and examine the realization of the resulting preferencebased queries via off-the-shelf SPARQL engines.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1 Introduction</title>
      <p>Once the sole purview of IT departments, today’s data is produced, shared, and
consumed by a diversity of stakeholders – corporate and consumer. It is stored in a variety
of formats, dynamically integrated, and queried by a variety of users, many of whom
are largely unfamiliar with the content of those sources. As such, querying today’s data
sources using standard query languages is evolving into a manual/iterative search
process, in which repeated queries are devised to hone in on outcomes that meet some
criteria. Consider looking for a car to buy on the web – one might prefer a car with a
powerful engine, but only if it’s a hybrid, or failing that an electric car if it’s under a
certain price, and so on. Such a query requires not only the specification of the information
to be returned, but also specification of an ordering or preference over what is returned.
With these fundamental changes in the nature of data management and querying comes
the need for query languages and engines that are better suited to the specification of
and search for high-quality outcomes.</p>
      <p>
        Preferences have been a long studied subject across many fields including
economics, philosophy, and artificial intelligence. Within the database community there
is a growing literature on preferences (e.g., [
        <xref ref-type="bibr" rid="ref19">19</xref>
        ]). Indeed, both Chomicki [
        <xref ref-type="bibr" rid="ref3 ref5">5, 3</xref>
        ] and
independently, Kießling, Endres, and Wenzel [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] have proposed extensions to SQL
that support the specification of quantitative (e.g., top-k [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]) and qualitative (e.g.,
skyline [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]) SQL queries. Top-k queries use a scoring function to determine an ordering
over query results. In contrast, skyline queries filter a dataset with respect to a set of
preference relations, returning a set of undominated tuples.
      </p>
      <p>
        Our concern in this paper is with SPARQL [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ] and with the provision of a means of
succinctly specifying queries that will enable a user to search for data sources (SPARQL
endpoints) and data content that is tailored to their individual preferences, and in turn
for SPARQL query engines to return ordered outcomes that reflect those preferences.
Within the semantic web community, there has been significant recent work on the
computation of top-k queries (e.g., [
        <xref ref-type="bibr" rid="ref13 ref14 ref2 ref20">14, 2, 13, 20</xref>
        ]), but little on how to extend the
expressiveness of SPARQL to address a broad spectrum of qualitative and quantitative
preferences. As such, (qualitative) preference-based querying is often realized by multiple
lengthy queries that stipulate different combinations of hard constraints, or via
“standard tricks3” such as “stacking” OPTIONAL patterns, as illustrated in the following
example which preferably returns the email address of my friends, and the homepage if
there is no email.
      </p>
      <sec id="sec-1-1">
        <title>SELECT ?Contact WHERE { me foaf:knows ?X</title>
      </sec>
      <sec id="sec-1-2">
        <title>OPTIONAL {?X foaf:mbox ?Contact}</title>
      </sec>
      <sec id="sec-1-3">
        <title>OPTIONAL {?X foaf:homepage ?Contact} }</title>
        <p>
          In 2006 Siberski, Pan, and Thaden introduced the notion of qualitative preferences
into SPARQL queries [
          <xref ref-type="bibr" rid="ref18">18</xref>
          ]. In that work they realized their preference queries through
the development of solution modifiers. Interestingly, their work was done before the
semantics of OPTIONAL was established, and it was our hypothesis that much of what
they did in 2006 with solution modifiers could be done in native SPARQL 1.0 and
SPARQL 1.1 through rewriting. Building on that work, we propose an extension of the
SPARQL query language, PrefSPARQL that, like Siberski et. al.’s work, builds on the
vetted work on SQL preference queries, extending it here to support the expression of
conditional preferences. In Section 3 we focus on the realization of qualitative
preferences, and in particular on skyline and conditional preferences, showing how they can
be rewritten into SPARQL 1.1 (and also SPARQL 1.0) and thus realized by existing
SPARQL query engines. The work presented here is only the first step of a larger
endeavour that will see the extension of the presented query grammar with a number of
interesting features, and the development of optimized query processing techniques that
are tailored to the efficient computation of preference-based SPARQL queries.
2
        </p>
      </sec>
    </sec>
    <sec id="sec-2">
      <title>PrefSPARQL Syntax</title>
      <p>
        In this section we propose a core grammar for PrefSPARQL that addresses a selection
of qualitative and quantitative preferences in support of specifying preferred SPARQL
query outcomes. We illustrate our grammar with respect to skyline and conditional
preference queries. Skyline queries for relational databases have been the subject of
significant research (e.g., [
        <xref ref-type="bibr" rid="ref1 ref5">5, 1</xref>
        ]), and refer to a set of results that are no worse than
any other result across all dimensions of a set of independent boolean or numerical
preferences [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Skyline queries have been studied extensively in the SQL context by
Chomicki [
        <xref ref-type="bibr" rid="ref4 ref5">4, 5</xref>
        ], and by Kießling, Endres, and Wenzel as an essential part of their
Preference SQL language and system [
        <xref ref-type="bibr" rid="ref10 ref11">10, 11</xref>
        ].
      </p>
      <p>
        We build upon an earlier approach to adopt features of Preference SQL in SPARQL,
by Siberski, Pan, and Thaden [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. In particular, we extend the SPARQL query
language in a similar fashion to the proposal in [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]; we also use ‘AND’ to separate
3 e.g., http://answers.semanticweb.com/questions/20682/preference-patterns-for-sparql-11
independent dimensions of skyline queries. The key differences in our proposal are
that, firstly, we add preferences at the level of filters (production 68 of the SPARQL
grammar [8, Section 19]) rather than as solution modifiers, with the justification that
preferences semantically filter the solution set rather than ‘ordering’ or ‘slicing’ it.
This approach makes preferences usable inside any patterns in a nested fashion as
opposed to just at the end of queries.4 Secondly, we follow the latest version of
Preference SQL [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ] in replacing ‘CASCADE’ with ‘PRIOR TO’. Furthermore, we
support additional atomic preference constructs such as ‘AROUND’, ‘MORE THAN’,
‘LESS THAN’, and ‘BETWEEN’; ‘x BETWEEN (Low,High)’ differs from
writing ‘((x &gt;= Low) &amp;&amp; (x &lt;= High))’ in SPARQL in that – in the absence of a
value in the chosen interval – ‘BETWEEN’ will return the closest value to Low (or
High, resp.); AROUND(x), MORE THAN(x), and LESS THAN(x) are analogous
to BETWEEN(x; x), BETWEEN(x; 1) and, BETWEEN( 1; x) respectively. Finally,
we augment the grammar with conditional (IF-THEN-ELSE) preferences. We note that,
given the availability of conditional preferences, BETWEEN (as well as AROUND,
MORE THAN, and LESS THAN) come for free5.
To illustrate this, consider a modification of the example from [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ]. The knowledge
base contains therapist ratings and their appointment offerings (in Turtle syntax).
@prefix : &lt;http://www.example.org/&gt;.
:mary a :therapist ; :rated :excellent ;
      </p>
      <p>:offers :appointment1, :appointment2 .
:appointment1 :day "Tuesday"; :starts 1500; :ends 1555 .
:appointment2 :day "Sunday"; :starts 1600; :ends 1655 .
4 While with the addition of subqueries in SPARQL1.1 this does not add to language
expressivity, it still allows one to write certain preference queries more concisely.
5 x BETWEEN(Low,High) can be viewed as syntactic sugar for LOWEST (IF x &gt;= Low
&amp;&amp; x &lt;= High THEN 0 ELSE IF x &lt; Low THEN Abs(Low x) ELSE Abs(High x) ).</p>
      <p>For the case of the skyline preference, query Q1 prefers excellent therapists,
appointments around lunchtime (between 12:00 and 13:00) over those outside lunchtime
(written as a BETWEEN preference), and later appointments over earlier ones provided
that both are equal with respect to lunchtime.</p>
      <sec id="sec-2-1">
        <title>SELECT ?A WHERE {</title>
        <p>?T :rated ?R; :offers ?A. ?A :starts ?S; :ends ?E .
PREFERRING ( ?R = excellent AND
( ?S BETWEEN(1200,1300) AND ?E BETWEEN(1200,1300)</p>
      </sec>
      <sec id="sec-2-2">
        <title>PRIOR TO HIGHEST ?E ) ) }</title>
        <p>For the case of conditional preferences, in query Q2 we prefer appointments before
6PM on the weekends, and appointments after 6PM on the weekdays.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>3 Realizing PrefSPARQL Through Query Rewriting</title>
      <p>
        As opposed to a contrary conjecture in [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ], we argue that preferences such as the ones
presented in Section 2 can be expressed in SPARQL itself by the following high-level
translation schema, where P is a SPARQL pattern and P ref is a ‘PREFERRING’
clause as defined in the grammar above.
      </p>
      <p>P PREFERRING P ref</p>
      <p>P FILTER NOT EXISTS fP 0 FILTER (tr(P; P 0; P ref ))g
Here, P 0 is a copy of P where all variables are renamed with fresh variables. The
high-level idea here is that we reformulate PREFERRING clauses as FILTERs, asking
for the non-existence of a solution to the pattern P 0 which dominates the solution of
P according to P ref . This simple recipe, along with a translation of the domination
relation as a FILTER expression, suffices to express the intended semantics of returning
only dominating solutions.</p>
      <p>
        While we do not provide the full translation function tr(P; P 0; P ref ) of
PREFERRING clauses in this short position paper (see our technical report [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ] for the
translation), let us illustrate the feasibility by means of some examples. As for skyline queries,
we take a simplified version of Q1 from above without BETWEEN,6 where we prefer
appointments outside rush hour, i.e., either starting after 18:00 or ending before 16:00,
instead of over lunchtime.
      </p>
      <sec id="sec-3-1">
        <title>SELECT ?A</title>
      </sec>
      <sec id="sec-3-2">
        <title>WHERE {</title>
        <p>?T :rated ?R; :offers ?A. ?A :starts ?S; :ends ?E .
PREFERRING ( (?R = excellent) AND
((?S &gt;= 1800) || ?E &lt;= 1600)) PRIOR TO</p>
      </sec>
      <sec id="sec-3-3">
        <title>HIGHEST ?S )}</title>
        <p>6 As mentioned before BETWEEN can be translated using conditional preferences, which we
will illustrate with the second example.
This query translates to the following SPARQL1.1 query:
1 SELECT ?A WHERE { ?T :rated ?R; :offers ?A. ?A :starts ?S; :ends ?E .
2 BIND ( (?R = pt:excellent) AS ?Pref1 )
3 BIND ( (?S &gt;= 1800 || ?E &lt;= 1600) AS ?Pref2 )
4 BIND ( ?S AS ?Pref3 )
5 NOT EXISTS {
6 ?T_ :rated ?R_; :offers ?A_. ?A_ :starts ?S_; :ends ?E_ .
7 BIND ( (?R_ = :excellent) AS ?Pref1_ )
8 BIND ( (?S_ &gt;= 1600 || ?E_ &lt;= 1600) AS ?Pref2_ )
9 BIND ( ?S_ AS ?Pref3_ )
10 FILTER(
11 ( (?Pref1_ &gt; ?Pref1) &amp;&amp;
12 !((?Pref2_ &lt; ?Pref2) || (?Pref3_ &lt; ?Pref3 &amp;&amp; ?Pref2 = ?Pref2_ )))
13
14
15
||
( !(?Pref1_ &lt; ?Pref1) &amp;&amp;</p>
        <p>((?Pref2_ &gt; ?Pref2) || (?Pref3_ &gt; ?Pref3 &amp;&amp; ?Pref2 = ?Pref2_ )))) }}
In the copied pattern P 0 we replace every variable by a ‘copy’ appending ’ ’ to the
variable name. In both P and P 0 we bind every atomic expression in P ref to a new
variable (lines 2-4 and 7-9); then we use these variables to build up a FILTER expression
that filters out ‘dominating’ witnesses for P ; if no such witness exists, P survives. Let
us explain briefly the rationale behind the translation of preference dominance in lines
11-15: the two dimensions (AND) of the skyline preference – i.e., that a dominating
solution is better in at least one dimension and no worse in the others – are encoded in
the two branches in lines 11-12 and lines 14-15, whereas the nested cascading (PRIOR
TO) preference between P ref 2 and P ref 3 is encoded in the boolean expressions in
lines 12 and 15, respectively.</p>
        <p>Let us emphasize that the translation would also work without BINDs; the
respective expressions could just be copied, although this would make the translated query
more confusing. Similarly, NOT EXISTS could be replaced by a well-known
combination of OPTIONAL and FILTER(!bound) (cf. [17, Section 11.4.1]) to emulate set
difference, which would make the whole query also expressible in SPARQL1.0.</p>
        <p>Conditional preferences can be encoded in SPARQL1.1 conveniently using the
IF( ; ; ) function in filters, as shown in the translation of query Q2 from above.
1 SELECT ?A WHERE {
2 ?T :rated ?R; :offers ?A. ?A :day ?D; :starts ?S.
3 BIND ( IF( (?D = "Sunday" || ?D = "Saturday"), ?S &lt; 1800, ?S &gt;= 1800)
4 AS ?Pref1)
5 NOT EXISTS { ?T_ :rated ?R_; :offers ?A_. ?A_ :day ?D_; :starts ?S_.
6 BIND ( IF( (?D_ = "Sunday" || ?D_ = "Saturday"), ?S_ &lt; 1800, ?S_ &gt;= 1800)
7 AS ?Pref1_)
8 FILTER (?Pref1_ &gt; ?Pref1)}}
We note that the IF( ; ; ) function is – in principle – again syntactic sugar that can be
emulated in SPARQL1.0 as well, such that in summary our presented preferences can
be both implemented in rewritings to SPARQL1.1 and SPARQL1.0.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4 Summary and Discussion</title>
      <p>
        In this position paper we argued for (re-)considering preferences in SPARQL queries.
Given the vast amount of data being subjected to SPARQL queries, we can conceive
many examples where complex preferences would be needed to find the “needle in the
haystack”, with the user specifying preferences not only over query results but also over
the sources (SPARQL endpoints) and provenance of data used to produce those results.
Here we proposed a core grammar for PrefSPARQL, an extension to SPARQL 1.1 that
supports the expression of preferred query results. Our language builds on established
work on SQL preferences and on an earlier effort by Siberski et al. [
        <xref ref-type="bibr" rid="ref18">18</xref>
        ], extending it
with conditional preferences. We further argued, contrary to the conjecture of Siberski
et al., that these preference queries can be directly expressed in both SPARQL1.0 and
SPARQL1.1 using OPTIONAL queries or novel features of SPARQL1.1, such as NOT
EXISTS. We illustrated such a realization with respect to skyline and conditional
preference queries. We acknowledge that, at the time Siberski and colleagues’ work was
performed, the semantics of SPARQL1.0 was not yet fully defined and SPARQL1.1
was still far off on the horizon.
      </p>
      <p>
        Nevertheless, we argue that this topic needs further attention, since preference queries
implemented naively by rewriting in SPARQL might become prohibitively costly. In
particular, we emphasize that all the examples we gave in this paper, even those
expressing simple preferences by “stacking OPTIONALs”, as mentioned in Section 1, or,
respectively all our example translations would produce so called non-well-designed
patterns [
        <xref ref-type="bibr" rid="ref12 ref15">15, 12</xref>
        ] in SPARQL. We therefore plan to further investigate relaxations of
the well-designedness restriction, which still enable efficiently evaluable preference
queries.
      </p>
      <p>
        The specification and efficient realization of preference-based SPARQL queries is
an important topic that is worthy of further exploration. As this work is ongoing,
considerations for expanding it include the addition of quantitative preferences in the form
of top-k queries, ranking within a skyline, preferences over endpoints in the context of
the SPARQL1.1 Federation extension [
        <xref ref-type="bibr" rid="ref16">16</xref>
        ], and SPARQL endpoint discovery (e.g. by
preferences over Service descriptions [
        <xref ref-type="bibr" rid="ref21">21</xref>
        ]) as well as interaction of preferences with
Entailment Regimes [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Further details relating to this paper can be found in [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ].
Acknowledgements
We wish to thank Wolf Siberski, Jeff Pan, and Florian Wenzel for their assistance. This
work has been partially supported by the Natural Sciences and Engineering Research
Council of Canada (NSERC), an Ontario Graduate Scholarship (OGS), and by the
Vienna Science and Technology Fund (WWTF) through project ICT12-015.
      </p>
    </sec>
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