<bibliography>
 <citation type="misc" key="allaisgit">
  <author>G. <surname>Allais</surname></author>
  <year>2018</year>
  <title>Deciding Presburger arithmetic in agda</title>
  <url>https://github.com/gallais/agda-presburger</url>
 </citation>
 <citation type="article" key="mahboubircf">
  <author>C. <surname>Cohen</surname></author>
  <author>A. <surname>Mahboubi</surname></author>
  <year>2012</year>
  <title>Formal Prrofs in Real Algebraic Geometry: from Ordered Fields to Quantifier Elimination</title>
  <journal>Logical Methods in Computer Science</journal>
  <volume>8</volume>
  <pages>1&#8211;40</pages>
  <doi>10.2168/LMCS-8(1:2)2012</doi>
 </citation>
 <citation type="misc" key="omega">
  <author>P. <surname>Cr&#233;gut</surname></author>
  <title>Omega: a solver of quantifier-free problems in Presburger Arithmetic</title>
  <url>https://coq.inria.fr/refman/omega.html</url>
 </citation>
 <citation type="article" key="atdt">
  <author>J. <surname>Doner</surname></author>
  <author>W. <surname>Hodges</surname></author>
  <year>1988</year>
  <title>Alfred Tarski and Decidable Theories</title>
  <journal>The Journal of Symbolic Logic</journal>
  <volume>53</volume>
  <number>1</number>
  <pages>20&#8211;35</pages>
  <doi>10.1017/S0022481200028905</doi>
 </citation>
 <citation type="article" key="ginc">
  <author>K. <surname>G&#246;del</surname></author>
  <year>1931</year>
  <title>&#220;ber formal unentscheidbare S&#228;tze der Principia Mathematica und verwandter Systeme, I</title>
  <journal>Monatshefte f&#252;r Mathematik und Physik</journal>
  <volume>38</volume>
  <pages>173&#8211;198</pages>
  <doi>10.1007/BF01700692</doi>
 </citation>
 <citation type="book" key="herbrand">
  <author>J. <surname>Herbrand</surname></author>
  <year>1971</year>
  <title>Logical Writings</title>
  <publisher>D. Reidel Publishing Company</publisher>
  <address>Dordrecht, Netherlands</address>
  <doi>10.1007/978-94-010-3072-4</doi>
 </citation>
 <citation type="inproceedings" key="mahboubiacf">
  <author>A. <surname>Mahboubi</surname></author>
  <author>C. <surname>Cohen</surname></author>
  <year>2010</year>
  <title>A Formal Quantifier Elimination for Algebraically Closed Fields</title>
  <booktitle>Intelligent Computer Mathematics</booktitle>
  <publisher>Calculemus 2010</publisher>
  <address>Paris, France</address>
  <pages>189&#8211;203</pages>
  <doi>10.1007/978-3-642-14128-7_17</doi>
 </citation>
 <citation type="article" key="nipkowjar">
  <author>T. <surname>Nipkow</surname></author>
  <year>2010</year>
  <title>Linear Quantifier Elimination</title>
  <journal>Journal of Automated Reasoning</journal>
  <volume>45</volume>
  <pages>189&#8211;212</pages>
  <doi>10.1007/s10817-010-9183-0</doi>
 </citation>
 <citation type="inproceedings" key="robinson">
  <author>R. M. <surname>Robinson</surname></author>
  <year>1950</year>
  <title>An Essentially Undecidable Axiom System</title>
  <booktitle>Proceedings of the International Congress of Mathematics</booktitle>
  <volume>1</volume>
  <pages>729&#8211;730</pages>
 </citation>
 <citation type="techreport" key="presbryan">
  <author>R. <surname>Stansifer</surname></author>
  <year>1984</year>
  <title>Presburger's Article on Integer Arithmetic: Remarks and Translation</title>
  <type>Technical Report</type>
  <number>TR84-639</number>
  <institution>Cornell University, Computer Science Department</institution>
  <url>https://cs.fit.edu/~ryan/papers/presburger.pdf</url>
 </citation>
 <citation type="article" key="tarski44">
  <author>A. <surname>Tarski</surname></author>
  <year>1944</year>
  <title>The semantic conception of truth</title>
  <journal>Philosophy and Phenomenological Research</journal>
  <volume>4</volume>
  <pages>341&#8211;376</pages>
  <doi>10.2307/2102968</doi>
 </citation>
 <citation type="inproceedings" key="vanderwalt2">
  <author>P. <surname>van der Walt</surname></author>
  <author>W. <surname>Swierstra</surname></author>
  <year>2012</year>
  <title>Engineering Proof by Reflection in Agda</title>
  <editor>Ralf <surname>Hinze</surname></editor>
  <booktitle>IFL - 24th International Symposium on Implementation and Application of Functional Languages</booktitle>
  <series>Lecture Notes in Computer Science</series>
  <volume>8241</volume>
  <publisher>Springer</publisher>
  <address>Oxford, United Kingdom</address>
  <pages>157&#8211;173</pages>
  <doi>10.1007/978-3-642-41582-1_10</doi>
 </citation>
 <citation type="misc" key="agda">
  <author>The Agda <surname>Wiki</surname></author>
  <year>2017</year>
  <title>The Agda Wiki</title>
  <url>http://wiki.portal.chalmers.se/agda/pmwiki.php</url>
 </citation>
 <citation type="misc" key="agdatut">
  <author>The Agda <surname>Wiki</surname></author>
  <year>2017</year>
  <title>The Agda Wiki - Tutorials</title>
  <url>http://wiki.portal.chalmers.se/agda/pmwiki.php</url>
 </citation>
</bibliography>
