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<li class="toctree-l1"><a class="reference internal" href="install.html">Install</a></li>
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<li class="toctree-l1"><a class="reference internal" href="data_sets.html">Data sets</a></li>
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<li class="toctree-l1"><a class="reference internal" href="theoretical_background.html">Theoretical background</a></li>
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<li class="toctree-l2"><a class="reference internal" href="#category-theory">Category theory</a></li>
<li class="toctree-l2"><a class="reference internal" href="#multi-model-databases">Multi-model databases</a></li>
<li class="toctree-l2"><a class="reference internal" href="#techical-solutions">Techical solutions</a></li>
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<div class="section" id="bibliography">
<h1>Bibliography<a class="headerlink" href="#bibliography" title="Permalink to this headline">¶</a></h1>
<div class="section" id="category-theory">
<h2>Category theory<a class="headerlink" href="#category-theory" title="Permalink to this headline">¶</a></h2>
<p id="bibtex-bibliography-bibliography-0"><dl class="citation">
<dt class="bibtex label" id="id1"><span class="brackets">BSW19</span></dt>
<dd><p>Kristopher Brown, David I. Spivak, and Ryan Wisnesky. Categorical data integration for computational science. <em>CoRR</em>, 2019. URL: <a class="reference external" href="http://arxiv.org/abs/1903.10579">http://arxiv.org/abs/1903.10579</a>, <a class="reference external" href="https://arxiv.org/abs/1903.10579">arXiv:1903.10579</a>.</p>
</dd>
<dt class="bibtex label" id="diskin1996fi"><span class="brackets">DK96</span></dt>
<dd><p>Zinovy Diskin and Boris Kadish. Algebraic graph-oriented=category-theory-based, manifesto of categorizing data base theory. In 1996. URL: <a class="reference external" href="https://www.semanticscholar.org/paper/Frame-Inform-Systems-Algebraic-Manifesto-of-Data-\%3D-Diskin-Kadish/aa23056804cd69744cad5f3aabd0a165a83363c1">https://www.semanticscholar.org/paper/Frame-Inform-Systems-Algebraic-Manifesto-of-Data-\%3D-Diskin-Kadish/aa23056804cd69744cad5f3aabd0a165a83363c1</a>.</p>
</dd>
<dt class="bibtex label" id="conf-lfcs-forssellgs16"><span class="brackets">FGS16</span></dt>
<dd><p>Henrik Forssell, Håkon Robbestad Gylterud, and David I. Spivak. Type theoretical databases. In <em>Logical Foundations of Computer Science LFCS</em>, 117–129. 2016.</p>
</dd>
<dt class="bibtex label" id="grust1999compr-709"><span class="brackets">Gru99</span></dt>
<dd><p>Torsten Grust. <em>Comprehending Queries</em>. PhD thesis, Universitaet Konstanz, Konstanz, 1999.</p>
</dd>
<dt class="bibtex label" id="grust2004"><span class="brackets">Gru04</span></dt>
<dd><p>Torsten Grust. <em>Monad Comprehensions: A Versatile Representation for Queries</em>, pages 288–311. Springer Berlin Heidelberg, Berlin, Heidelberg, 2004. URL: <a class="reference external" href="https://doi.org/10.1007/978-3-662-05372-0_12">https://doi.org/10.1007/978-3-662-05372-0_12</a>, <a class="reference external" href="https://doi.org/10.1007/978-3-662-05372-0_12">doi:10.1007/978-3-662-05372-0_12</a>.</p>
</dd>
<dt class="bibtex label" id="imrn-rnq068"><span class="brackets">Koc10</span></dt>
<dd><p>Joachim Kock. Polynomial Functors and Trees. <em>International Mathematics Research Notices</em>, 2011(3):609–673, 05 2010. URL: <a class="reference external" href="https://doi.org/10.1093/imrn/rnq068">https://doi.org/10.1093/imrn/rnq068</a>, <a class="reference external" href="https://arxiv.org/abs/http://oup.prod.sis.lan/imrn/article-pdf/2011/3/609/2121229/rnq068.pdf">arXiv:http://oup.prod.sis.lan/imrn/article-pdf/2011/3/609/2121229/rnq068.pdf</a>, <a class="reference external" href="https://doi.org/10.1093/imrn/rnq068">doi:10.1093/imrn/rnq068</a>.</p>
</dd>
<dt class="bibtex label" id="lambek1968"><span class="brackets">Lam68</span></dt>
<dd><p>Joachim Lambek. A fixpoint theorem for complete categories. <em>Mathematische Zeitschrift</em>, 103(2):151–161, Apr 1968. URL: <a class="reference external" href="https://doi.org/10.1007/BF01110627">https://doi.org/10.1007/BF01110627</a>, <a class="reference external" href="https://doi.org/10.1007/BF01110627">doi:10.1007/BF01110627</a>.</p>
</dd>
<dt class="bibtex label" id="lane1998categories"><span class="brackets">Lan98</span></dt>
<dd><p>S.M. Lane. <em>Categories for the Working Mathematician</em>. Graduate Texts in Mathematics. Springer New York, 233 Spring St, New York, NY 10013, USA, 1998. ISBN 9780387984032. URL: <a class="reference external" href="https://doi.org/10.1007/978-1-4612-9839-7">https://doi.org/10.1007/978-1-4612-9839-7</a>.</p>
</dd>
<dt class="bibtex label" id="manes-1986-aap-22251"><span class="brackets">MA86</span></dt>
<dd><p>Ernest G. Manes and Michael A. Arbib, editors. <em>Algebraic Approaches to Program Semantics</em>. Springer-Verlag, Berlin, Heidelberg, 1986. ISBN 0-387-96324-3.</p>
</dd>
<dt class="bibtex label" id="riehl2017category"><span class="brackets">Rie17</span></dt>
<dd><p>E. Riehl. <em>Category Theory in Context</em>. Aurora: Dover Modern Math Originals. Dover Publications, 31 2nd St, Mineola, NY 11501, USA, 2017. ISBN 9780486820804. URL: <a class="reference external" href="www.math.jhu.edu/~eriehl/context.pdf">www.math.jhu.edu/~eriehl/context.pdf</a>.</p>
</dd>
<dt class="bibtex label" id="id2"><span class="brackets">SSW17</span></dt>
<dd><p>Patrick Schultz, David I. Spivak, and Ryan Wisnesky. Algebraic model management: a survey. In Phillip James and Markus Roggenbach, editors, <em>Recent Trends in Algebraic Development Techniques</em>, 56–69. Cham, 2017. Springer International Publishing.</p>
</dd>
<dt class="bibtex label" id="schultz-wisnesky-2017"><span class="brackets">SW17</span></dt>
<dd><p>PATRICK SCHULTZ and RYAN WISNESKY. Algebraic data integration. <em>Journal of Functional Programming</em>, 27:e24, 2017. <a class="reference external" href="https://doi.org/10.1017/S0956796817000168">doi:10.1017/S0956796817000168</a>.</p>
</dd>
<dt class="bibtex label" id="shipman-1981-fdm-319540-319561"><span class="brackets">Shi81</span></dt>
<dd><p>David W. Shipman. The functional data model and the data languages daplex. <em>ACM Trans. Database Syst.</em>, 6(1):140–173, March 1981. URL: <a class="reference external" href="http://doi.acm.org/10.1145/319540.319561">http://doi.acm.org/10.1145/319540.319561</a>, <a class="reference external" href="https://doi.org/10.1145/319540.319561">doi:10.1145/319540.319561</a>.</p>
</dd>
<dt class="bibtex label" id="spivak2014category"><span class="brackets">Spi14</span></dt>
<dd><p>David I Spivak. <em>Category theory for the sciences</em>. MIT Press, 2014.</p>
</dd>
<dt class="bibtex label" id="dblp-journals-corr-abs-1009-1166"><span class="brackets">Spi10</span></dt>
<dd><p>David I. Spivak. Functorial data migration. <em>CoRR</em>, 2010. URL: <a class="reference external" href="http://arxiv.org/abs/1009.1166">http://arxiv.org/abs/1009.1166</a>, <a class="reference external" href="https://arxiv.org/abs/1009.1166">arXiv:1009.1166</a>.</p>
</dd>
</dl>
</p>
</div>
<div class="section" id="multi-model-databases">
<h2>Multi-model databases<a class="headerlink" href="#multi-model-databases" title="Permalink to this headline">¶</a></h2>
<p id="bibtex-bibliography-bibliography-1"><dl class="citation">
<dt class="bibtex label" id="id3"><span class="brackets">AHV95</span></dt>
<dd><p>Serge Abiteboul, Richard Hull, and Victor Vianu. <em>Foundations of Databases: The Logical Level</em>. Addison-Wesley Longman Publishing Co., Inc., USA, 1st edition, 1995. ISBN 0201537710.</p>
</dd>
<dt class="bibtex label" id="conf-vldb-liulghpw18"><span class="brackets">LLG+18</span></dt>
<dd><p>Zhen Hua Liu, Jiaheng Lu, Dieter Gawlick, Heli Helskyaho, Gregory Pogossiants, and Zhe Wu. Multi-model database management systems - A look forward. In <em>Polystores VLDB 2018 Workshops</em>, 16–29. 2018.</p>
</dd>
<dt class="bibtex label" id="udms-dataset"><span class="brackets">LCZ18</span></dt>
<dd><p>Jiaheng Lu, Jun Chen, and Chao Zhang. Helsinki Multi-Model Data Repository. <span>“<a class="reference external" href="#"></a></span>https://www.helsinki.fi/en/researchgroups/unified-database-management-systems-udbms/helsinki-multi-model-dataset-repository”, 2018.</p>
</dd>
<dt class="bibtex label" id="lu-2019-mdn-3341324-3323214"><span class="brackets">LHolubova19a</span></dt>
<dd><p>Jiaheng Lu and Irena Holubová. Multi-model databases: a new journey to handle the variety of data. <em>ACM Comput. Surv.</em>, 52(3):55:1–55:38, June 2019.</p>
</dd>
<dt class="bibtex label" id="journals-csur-luh19"><span class="brackets">LHolubova19b</span></dt>
<dd><p>Jiaheng Lu and Irena Holubová. Multi-model databases: A new journey to handle the variety of data. <em>ACM Comput. Surv.</em>, 52(3):55:1–55:38, 2019.</p>
</dd>
<dt class="bibtex label" id="conf-tpctc-zhanglxc18"><span class="brackets">ZLXC18</span></dt>
<dd><p>Chao Zhang, Jiaheng Lu, Pengfei Xu, and Yuxing Chen. Unibench: A benchmark for multi-model database management systems. In <em>TPCTC</em>, 7–23. 2018.</p>
</dd>
<dt class="bibtex label" id="id4"><span class="brackets">ZLXC19</span></dt>
<dd><p>Chao Zhang, Jiaheng Lu, Pengfei Xu, and Yuxing Chen. Unibench: a benchmark for multi-model database management systems. In Raghunath Nambiar and Meikel Poess, editors, <em>Performance Evaluation and Benchmarking for the Era of Artificial Intelligence</em>, 7–23. Cham, 2019. Springer International Publishing.</p>
</dd>
</dl>
</p>
</div>
<div class="section" id="techical-solutions">
<h2>Techical solutions<a class="headerlink" href="#techical-solutions" title="Permalink to this headline">¶</a></h2>
<p id="bibtex-bibliography-bibliography-2"><dl class="citation">
<dt class="bibtex label" id="arangodb"><span class="brackets">Ara18</span></dt>
<dd><p>ArangoDB. What is a multi-model database and why use it? an arangodb white paper. <span><a class="reference external" href="#"></a></span>https://www.arangodb.com/wp-content/uploads/2018/08/ArangoDB-White-Paper-What-is-a-multi-model-database-and-why-use-it.pdf, 2018.</p>
</dd>
<dt class="bibtex label" id="bostock2011d3"><span class="brackets">BOH11</span></dt>
<dd><p>Michael Bostock, Vadim Ogievetsky, and Jeffrey Heer. D³ data-driven documents. <em>IEEE transactions on visualization and computer graphics</em>, 17(12):2301–2309, 2011.</p>
</dd>
<dt class="bibtex label" id="oracle12c"><span class="brackets">Cor17</span></dt>
<dd><p>Oracle Corporation. Application development with oracle database 12c. 2017. URL: <a class="reference external" href="https://www.oracle.com/technetwork/database/application-development/application-development-wp-12c-2017-3442200.pdf">https://www.oracle.com/technetwork/database/application-development/application-development-wp-12c-2017-3442200.pdf</a>.</p>
</dd>
<dt class="bibtex label" id="article10-1145-3156695-3122956"><span class="brackets">Mok17</span></dt>
<dd><p>Andrey Mokhov. Algebraic graphs with class (functional pearl). <em>SIGPLAN Not.</em>, 52(10):2–13, September 2017. URL: <a class="reference external" href="https://doi.org/10.1145/3156695.3122956">https://doi.org/10.1145/3156695.3122956</a>, <a class="reference external" href="https://doi.org/10.1145/3156695.3122956">doi:10.1145/3156695.3122956</a>.</p>
</dd>
<dt class="bibtex label" id="nlabhaskdef"><span class="brackets">nLa</span></dt>
<dd><p>nLab. Haskell. URL: <a class="reference external" href="https://ncatlab.org/nlab/show/Haskell">https://ncatlab.org/nlab/show/Haskell</a>.</p>
</dd>
<dt class="bibtex label" id="react"><span class="brackets">Rea19</span></dt>
<dd><p>React. React - a javascript library for building user interfaces. 2019. URL: <a class="reference external" href="https://reactjs.org/">https://reactjs.org/</a>.</p>
</dd>
</dl>
</p>
</div>
<div class="section" id="other">
<h2>Other<a class="headerlink" href="#other" title="Permalink to this headline">¶</a></h2>
<p id="bibtex-bibliography-bibliography-3"><dl class="citation">
<dt class="bibtex label" id="snapnets"><span class="brackets">LK14</span></dt>
<dd><p>Jure Leskovec and Andrej Krevl. SNAP Datasets: Stanford large network dataset collection. jun 2014. URL: <a class="reference external" href="http://snap.stanford.edu/data">http://snap.stanford.edu/data</a>.</p>
</dd>
<dt class="bibtex label" id="video"><span class="brackets">UL20</span></dt>
<dd><p>Valter Uotila and Jiaheng Lu. MultiCategory system demo video. 2020. URL: <a class="reference external" href="https://youtu.be/MWONBZpw6KA">https://youtu.be/MWONBZpw6KA</a>.</p>
</dd>
</dl>
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