<bibliography>
 <citation type="inproceedings" key="11-armand-smt-coq">
  <author>Micha&#235;l <surname>Armand</surname></author>
  <author>Germain <surname>Faure</surname></author>
  <author>Benjamin <surname>Gr&#233;goire</surname></author>
  <author>Chantal <surname>Keller</surname></author>
  <author>Laurent <surname>Thery</surname></author>
  <author>Benjamin <surname>Werner</surname></author>
  <year>2011</year>
  <title>A Modular Integration of SAT/SMT Solvers to Coq through Proof Witnesses</title>
  <booktitle>CPP '11</booktitle>
  <series>LNCS</series>
  <volume>7086</volume>
  <publisher>Springer</publisher>
  <pages>135&#8211;150</pages>
  <doi>10.1007/978-3-642-25379-9_12</doi>
 </citation>
 <citation type="inproceedings" key="09-audemard-glucose">
  <author>Gilles <surname>Audemard</surname></author>
  <author>Laurent <surname>Simon</surname></author>
  <year>2009</year>
  <title>Predicting Learnt Clauses Quality in Modern SAT Solvers</title>
  <booktitle>IJCAI '09</booktitle>
  <publisher>IJCAI Organization</publisher>
  <pages>399&#8211;404</pages>
 </citation>
 <citation type="inproceedings" key="12-biere-lingeling">
  <author>Armin <surname>Biere</surname></author>
  <year>2012</year>
  <title>Lingeling and Friends Entering the SAT Challenge 2012</title>
  <booktitle>Proc. SAT Challenge 2012</booktitle>
  <series>Department of Computer Science Series of Publications B</series>
  <volume>B-2012-2</volume>
  <publisher>University of Helsinki</publisher>
  <pages>33&#8211;34</pages>
 </citation>
 <citation type="inproceedings" key="11-bohme-smt">
  <author>Sascha <surname>B&#246;hme</surname></author>
  <author>Anthony <surname>Fox</surname></author>
  <author>Thomas <surname>Sewell</surname></author>
  <author>Tjark <surname>Weber</surname></author>
  <year>2011</year>
  <title>Reconstruction of Z3's Bit-Vector Proofs in HOL4 and Isabelle/HOL</title>
  <booktitle>CPP '11</booktitle>
  <series>LNCS</series>
  <volume>7086</volume>
  <publisher>Springer</publisher>
  <pages>183&#8211;198</pages>
  <doi>10.1007/978-3-642-25379-9_15</doi>
 </citation>
 <citation type="inproceedings" key="06-boyer-acl2h">
  <author>Robert S. <surname>Boyer</surname></author>
  <author>Warren A. <surname>Hunt, Jr.</surname></author>
  <year>2006</year>
  <title>Function Memoization and Unique Object Representation for ACL2 Functions</title>
  <booktitle>ACL2 '06</booktitle>
  <publisher>ACM</publisher>
  <pages>81&#8211;89</pages>
  <doi>10.1145/1217975.1217992</doi>
 </citation>
 <citation type="inproceedings" key="02-boyer-stobjs">
  <author>Robert S. <surname>Boyer</surname></author>
  <author>J Strother <surname>Moore</surname></author>
  <year>2002</year>
  <title>Single-Threaded Objects in ACL2</title>
  <booktitle>PADL '02</booktitle>
  <series>LNCS</series>
  <volume>2257</volume>
  <publisher>Springer</publisher>
  <pages>9&#8211;27</pages>
  <doi>10.1007/3-540-45587-6_3</doi>
 </citation>
 <citation type="inproceedings" key="12-bradley-ic3">
  <author>Aaron R. <surname>Bradley</surname></author>
  <year>2012</year>
  <title>Understanding IC3</title>
  <booktitle>SAT '12</booktitle>
  <series>LNCS</series>
  <volume>7317</volume>
  <publisher>Springer</publisher>
  <pages>1&#8211;14</pages>
  <doi>10.1007/978-3-642-31612-8_1</doi>
 </citation>
 <citation type="inproceedings" key="10-brayton-abc">
  <author>Robert <surname>Brayton</surname></author>
  <author>Alan <surname>Mishchenko</surname></author>
  <year>2010</year>
  <title>ABC: An Academic Industrial-Strength Verification Tool</title>
  <booktitle>CAV '10</booktitle>
  <series>LNCS</series>
  <volume>6174</volume>
  <publisher>Springer</publisher>
  <pages>24&#8211;40</pages>
  <doi>10.1007/978-3-642-14295-6_5</doi>
 </citation>
 <citation type="inproceedings" key="06-brummayer-without-blowup">
  <author>Robert <surname>Brummayer</surname></author>
  <author>Armin <surname>Biere</surname></author>
  <year>2006</year>
  <title>Local Two-Level And-Inverter Graph Minimization without Blowup</title>
  <booktitle>MEMICS '06</booktitle>
 </citation>
 <citation type="inproceedings" key="09-brummayer-fuzzing">
  <author>Robert <surname>Brummayer</surname></author>
  <author>Armin <surname>Biere</surname></author>
  <year>2009</year>
  <title>Fuzzing and Delta-Debugging SMT Solvers</title>
  <booktitle>SMT '09</booktitle>
  <publisher>ACM</publisher>
  <pages>1&#8211;5</pages>
  <doi>10.1145/1670412.1670413</doi>
 </citation>
 <citation type="inproceedings" key="07-chatterjee-resolution">
  <author>Satrajit <surname>Chatterjee</surname></author>
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Robert <surname>Brayton</surname></author>
  <author>Andreas <surname>Kuehlmann</surname></author>
  <year>2007</year>
  <title>On resolution proofs for combinational equivalence</title>
  <booktitle>DAC '07</booktitle>
  <publisher>ACM</publisher>
  <pages>600&#8211;605</pages>
  <doi>10.1145/1278480.1278631</doi>
 </citation>
 <citation type="inproceedings" key="10-darbari-sat">
  <author>Ashish <surname>Darbari</surname></author>
  <author>Bernd <surname>Fischer</surname></author>
  <author>Jotilde07Eao <surname>Marques-Silva</surname></author>
  <year>2010</year>
  <title>Industrial-Strength Certified SAT Solving through Verified SAT Proof Checking</title>
  <booktitle>ICTAC '10</booktitle>
  <series>LNCS</series>
  <volume>6255</volume>
  <publisher>Springer</publisher>
  <pages>260&#8211;274</pages>
  <doi>10.1007/978-3-642-14808-8_18</doi>
 </citation>
 <citation type="inproceedings" key="04-davis-osets">
  <author>Jared <surname>Davis</surname></author>
  <year>2004</year>
  <title>Finite Set Theory based on Fully Ordered Lists</title>
  <booktitle>ACL2 '04</booktitle>
 </citation>
 <citation type="inproceedings" key="11-een-pdr">
  <author>Niklas <surname>E&#233;n</surname></author>
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Robert K. <surname>Brayton</surname></author>
  <year>2011</year>
  <title>Efficient implementation of property directed reachability</title>
  <booktitle>FMCAD '11</booktitle>
  <publisher>FMCAD, Inc.</publisher>
  <pages>125&#8211;134</pages>
 </citation>
 <citation type="inproceedings" key="07-een-synthesis">
  <author>Niklas <surname>E&#233;n</surname></author>
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Niklas <surname>S&#246;rensson</surname></author>
  <year>2007</year>
  <title>Applying Logic Synthesis for Speeding Up SAT</title>
  <booktitle>SAT '07</booktitle>
  <series>LNCS</series>
  <volume>4501</volume>
  <publisher>Springer</publisher>
  <pages>272&#8211;286</pages>
  <doi>10.1007/978-3-540-72788-0_26</doi>
 </citation>
 <citation type="inproceedings" key="03-een-extensible">
  <author>Niklas <surname>E&#233;n</surname></author>
  <author>Niklas <surname>S&#246;rensson</surname></author>
  <year>2003</year>
  <title>An Extensible SAT-solver</title>
  <booktitle>SAT '03</booktitle>
  <series>LNCS</series>
  <volume>2919</volume>
  <publisher>Springer</publisher>
  <pages>502&#8211;518</pages>
  <doi>10.1007/978-3-540-24605-3_37</doi>
 </citation>
 <citation type="inproceedings" key="11-fox-blasting">
  <author>Anthony <surname>Fox</surname></author>
  <year>2011</year>
  <title>LCF-Style Bit-Blasting in HOL4</title>
  <booktitle>ITP '11</booktitle>
  <series>LNCS</series>
  <publisher>Springer</publisher>
  <pages>357&#8211;362</pages>
  <doi>10.1007/978-3-642-22863-6_26</doi>
 </citation>
 <citation type="book" key="79-milner-lcf">
  <author>Michael J. <surname>Gordon</surname></author>
  <author>Arthur J. <surname>Milner</surname></author>
  <author>Christopher P. <surname>Wadsworth</surname></author>
  <year>1979</year>
  <title>Edinburgh LCF: A Mechanized Logic of Computation</title>
  <series>LNCS</series>
  <volume>78</volume>
  <publisher>Springer</publisher>
  <doi>10.1007/3-540-09724-4</doi>
 </citation>
 <citation type="inproceedings" key="09-greve-quantifiers">
  <author>David <surname>Greve</surname></author>
  <year>2009</year>
  <title>Automated Reasoning with Quantified Formulae</title>
  <booktitle>ACL2 '09</booktitle>
  <publisher>ACM</publisher>
  <pages>110&#8211;113</pages>
  <doi>10.1145/1637837.1637855</doi>
 </citation>
 <citation type="inproceedings" key="05-hunt-meta">
  <author>Warren A. <surname>Hunt, Jr.</surname></author>
  <author>Matt <surname>Kaufmann</surname></author>
  <author>Robert Bellarmine <surname>Krug</surname></author>
  <author>J <surname>Moore</surname></author>
  <author>Eric Whitman <surname>Smith</surname></author>
  <year>2005</year>
  <title>Meta Reasoning in ACL2</title>
  <booktitle>TPHOLs '05</booktitle>
  <series>LNCS</series>
  <volume>3603</volume>
  <publisher>Springer</publisher>
  <pages>163&#8211;178</pages>
  <doi>10.1007/11541868_11</doi>
 </citation>
 <citation type="incollection" key="10-hardin-centaur">
  <author>Warren A. <surname>Hunt, Jr.</surname></author>
  <author>Sol <surname>Swords</surname></author>
  <author>Jared <surname>Davis</surname></author>
  <author>Anna <surname>Slobodov&#225;</surname></author>
  <year>2010</year>
  <title>Use of Formal Verification at Centaur Technology</title>
  <editor>David <surname>Hardin</surname></editor>
  <booktitle>Design and Verification of Microprocessor Systems for High-Assurance Applications</booktitle>
  <publisher>Springer</publisher>
  <pages>65&#8211;88</pages>
  <doi>10.1007/978-1-4419-1539-9_3</doi>
 </citation>
 <citation type="inproceedings" key="11-kaufmann-defattach">
  <author>Matt <surname>Kaufmann</surname></author>
  <author>J Strother <surname>Moore</surname></author>
  <year>2011</year>
  <title>How Can I Do That with ACL2? Recent Enhancements to ACL2</title>
  <booktitle>ACL2 '11</booktitle>
  <pages>46&#8211;60</pages>
  <doi>10.4204/EPTCS.70.4</doi>
 </citation>
 <citation type="article" key="09-maric-verified-sat">
  <author>Filip <surname>Mari\'c</surname></author>
  <year>2009</year>
  <title>Formalization and Implementation of Modern SAT Solvers</title>
  <journal>Journal of Automated Reasoning</journal>
  <volume>43</volume>
  <number>1</number>
  <pages>81&#8211;119</pages>
  <doi>10.1007/s10817-009-9127-8</doi>
 </citation>
 <citation type="inproceedings" key="08-mischenko-scalable">
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Michael <surname>Case</surname></author>
  <author>Robert <surname>Brayton</surname></author>
  <author>Stephen <surname>Jang</surname></author>
  <year>2008</year>
  <title>Scalable and scalably-verifiable sequential synthesis</title>
  <booktitle>ICCAD '08</booktitle>
  <publisher>IEEE</publisher>
  <pages>234&#8211;241</pages>
  <doi>10.1109/ICCAD.2008.4681580</doi>
 </citation>
 <citation type="inproceedings" key="06-mishchenko-rewriting">
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Satrajit <surname>Chatterjee</surname></author>
  <author>Robert <surname>Brayton</surname></author>
  <year>2006</year>
  <title>DAG-Aware AIG Rewriting: A Fresh Look at Combinational Logic Synthesis</title>
  <booktitle>DAC '06</booktitle>
  <publisher>ACM</publisher>
  <pages>532&#8211;535</pages>
  <doi>10.1145/1146909.1147048</doi>
 </citation>
 <citation type="techreport" key="05-mischenko-fraigs">
  <author>Alan <surname>Mishchenko</surname></author>
  <author>Satrajit <surname>Chatterjee</surname></author>
  <author>Roland <surname>Jiang</surname></author>
  <author>Robert <surname>Brayton</surname></author>
  <year>2005</year>
  <title>FRAIGs: A Unifying Representation for Logic Synthesis and Verification</title>
  <type>Technical Report</type>
  <institution>EECS Dept., UC Berkeley</institution>
 </citation>
 <citation type="inproceedings" key="12-oe-versat">
  <author>Duckki <surname>Oe</surname></author>
  <author>Aaron <surname>Stump</surname></author>
  <author>Corey <surname>Oliver</surname></author>
  <author>Kevin <surname>Clancy</surname></author>
  <year>2012</year>
  <title>versat: A Verified Modern SAT Solver</title>
  <booktitle>VMCAI '12</booktitle>
  <series>LNCS</series>
  <volume>7148</volume>
  <publisher>Springer</publisher>
  <pages>363&#8211;378</pages>
  <doi>10.1007/978-3-642-27940-9_24</doi>
 </citation>
 <citation type="inproceedings" key="11-swords-gl">
  <author>Sol <surname>Swords</surname></author>
  <author>Jared <surname>Davis</surname></author>
  <year>2011</year>
  <title>Bit-Blasting ACL2 Theorems</title>
  <booktitle>ACL2 '11</booktitle>
  <series>Electronic Proceedings in Theoretical Computer Science</series>
  <volume>70</volume>
  <pages>84&#8211;102</pages>
  <doi>10.4204/EPTCS.70.7</doi>
 </citation>
 <citation type="incollection" key="10-swords-bddify">
  <author>Sol <surname>Swords</surname></author>
  <author>Warren A. <surname>Hunt, Jr.</surname></author>
  <year>2010</year>
  <title>A Mechanically Verified AIG to BDD Conversion Algorithm</title>
  <booktitle>ITP '10</booktitle>
  <series>LNCS</series>
  <volume>6172</volume>
  <publisher>Springer</publisher>
  <pages>435&#8211;449</pages>
  <doi>10.1007/978-3-642-14052-5_30</doi>
 </citation>
 <citation type="article" key="68-tseitin-propositional">
  <author>G. S. <surname>Tseitin</surname></author>
  <year>1968</year>
  <title>On the Complexity of Derivation in Propositional Calculus</title>
  <journal>Zapiski nauchnykh seminarov LOMI</journal>
  <volume>8</volume>
  <pages>234&#8211;259</pages>
  <doi>10.1007/978-3-642-81955-1_28</doi>
  <note>English translation of this volume: Consultants Bureau, N.Y., 1970, pp. 115&#8211;125</note>
 </citation>
 <citation type="article" key="09-weber-sat">
  <author>Tjark <surname>Weber</surname></author>
  <author>Hasan <surname>Amjad</surname></author>
  <year>2009</year>
  <title>Efficiently Checking Propositional Refutations in HOL Theorem Provers</title>
  <journal>Journal of Applied Logic</journal>
  <volume>7</volume>
  <number>1</number>
  <pages>26&#8211;40</pages>
  <doi>10.1016/j.jal.2007.07.003</doi>
 </citation>
 <citation type="inproceedings" key="13-wetzler-sat">
  <author>Nathan <surname>Wetzler</surname></author>
  <author>Marijn J. H. <surname>Heule</surname></author>
  <author>Warren A. <surname>Hunt, Jr.</surname></author>
  <year>2013</year>
  <title>Mechanical Verification of SAT Refutations with Extended Resolution</title>
  <booktitle>To appear in ITP 2013</booktitle>
 </citation>
</bibliography>
