<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-09-19T11:18:21Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/85424" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/85424</identifier><datestamp>2026-06-06T00:49:31Z</datestamp><setSpec>com_1721.1_7582</setSpec><setSpec>com_1721.1_7581</setSpec><setSpec>col_1721.1_131023</setSpec></header><metadata><dim:dim xmlns:dim="http://www.dspace.org/xmlns/dspace/dim" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:doc="http://www.lyncode.com/xoai" xsi:schemaLocation="http://www.dspace.org/xmlns/dspace/dim http://www.dspace.org/schema/dim.xsd">
   <dim:field mdschema="dc" element="contributor" qualifier="advisor" lang="en_US">Adam Chlipala.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Haven, Andrew J</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2014-03-06T15:41:02Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2014-03-06T15:41:02Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2013</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2013</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/85424</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">870532303</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis: M. Eng., Massachusetts Institute of Technology, Department of Electrical Engineering and Computer Science, 2013.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Cataloged from PDF version of thesis.</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Includes bibliographical references (page 61).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">Mathematical rigor is an essential concept to learn in the study of computer science. In the process of learning to write math proofs, instructors are heavily involved in giving feedback about correct and incorrect proofs. Computerized feedback in this area can ease the burden on instructors and help students learn more efficiently. Several software packages exist that can verify proofs written in specific programming languages; these tools have support for some basic topics that undergraduates learn, but not all. In this thesis, we develop libraries and proof automation for introductory combinatorics and probability concepts using Coq, an interactive theorem proving language.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Andrew J. Haven.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">M.Eng.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">61 pages</dim:field>
   <dim:field mdschema="dc" element="language" qualifier="iso" lang="en_US">eng</dim:field>
   <dim:field mdschema="dc" element="publisher" lang="en_US">Massachusetts Institute of Technology</dim:field>
   <dim:field mdschema="dc" element="rights" lang="en_US">M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.</dim:field>
   <dim:field mdschema="dc" element="rights" qualifier="uri" lang="en_US">http://dspace.mit.edu/handle/1721.1/7582</dim:field>
   <dim:field mdschema="dc" element="subject" lang="en_US">Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="title" lang="en_US">Automated proof checking in introductory discrete mathematics classes</dim:field>
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   	&lt;Title>Automated proof checking in introductory discrete mathematics classes&lt;/Title>
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   	&lt;PublicationDate>2013&lt;/PublicationDate>
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    &lt;Keyword>Electrical Engineering and Computer Science.&lt;/Keyword>
   	&lt;Abstract>Mathematical rigor is an essential concept to learn in the study of computer science. In the process of learning to write math proofs, instructors are heavily involved in giving feedback about correct and incorrect proofs. Computerized feedback in this area can ease the burden on instructors and help students learn more efficiently. Several software packages exist that can verify proofs written in specific programming languages; these tools have support for some basic topics that undergraduates learn, but not all. In this thesis, we develop libraries and proof automation for introductory combinatorics and probability concepts using Coq, an interactive theorem proving language.&lt;/Abstract>
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