<?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>2026-09-18T23:21:47Z</responseDate><request verb="GetRecord" identifier="oai:dspace.mit.edu:1721.1/68502" metadataPrefix="dim">https://dspace.mit.edu/server/oai/request</request><GetRecord><record><header><identifier>oai:dspace.mit.edu:1721.1/68502</identifier><datestamp>2021-07-05T14:03:20Z</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">Martin C. Rinard.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="author" lang="en_US">Kim, Deokhwan, Ph. D. Massachusetts Institute of Technology.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="other" lang="en_US">Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.</dim:field>
   <dim:field mdschema="dc" element="contributor" qualifier="department" lang="en_US">Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="accessioned">2012-01-12T19:32:49Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="available">2012-01-12T19:32:49Z</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="copyright" lang="en_US">2011</dim:field>
   <dim:field mdschema="dc" element="date" qualifier="issued" lang="en_US">2011</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="uri">http://hdl.handle.net/1721.1/68502</dim:field>
   <dim:field mdschema="dc" element="identifier" qualifier="oclc" lang="en_US">770673527</dim:field>
   <dim:field mdschema="dc" element="description" lang="en_US">Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2011.</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 (p. 57-61).</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="abstract" lang="en_US">We present a new technique for verifying commutativity conditions, which are logical formulas that characterize when operations commute. Because our technique reasons with the abstract state of verified linked data structure implementations, it can verify commuting operations that produce semantically equivalent (but not necessarily identical) data structure states in different execution orders. We have used this technique to verify sound and complete commutativity conditions for all pairs of operations on a collection of linked data structure implementations, including data structures that export a set interface (ListSet and HashSet) as well as data structures that export a map interface (AssociationList, HashTable, and ArrayList). This effort involved the specification and verification of 765 commutativity conditions. Many speculative parallel systems need to undo the effects of speculatively executed operations. Inverse operations, which undo these effects, are often more efficient than alternate approaches (such as saving and restoring data structure state). We present a new technique for verifying such inverse operations. We have specified and verified, for all of our linked data structure implementations, an inverse operation for every operation that changes the data structure state. Together, the commutativity conditions and inverse operations provide a key resource that language designers, developers of program analysis systems, and implementors of software systems can draw on to build languages, program analyses, and systems with strong correctness guarantees.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="statementofresponsibility" lang="en_US">by Deokhwan Kim.</dim:field>
   <dim:field mdschema="dc" element="description" qualifier="degree" lang="en_US">S.M.</dim:field>
   <dim:field mdschema="dc" element="format" qualifier="extent" lang="en_US">61 p.</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 &#xd;
copyright. They may be viewed from this source for any purpose, but &#xd;
reproduction or distribution in any format is prohibited without written &#xd;
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">Verification of semantic commutativity conditions and inverse operations on linked data structures</dim:field>
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	&lt;Type xmlns="https://www.openaire.eu/cerif-profile/vocab/COAR_Publication_Types">http://purl.org/coar/resource_type/c_1843&lt;/Type>
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   	&lt;Title>Verification of semantic commutativity conditions and inverse operations on linked data structures&lt;/Title>
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   	&lt;PublicationDate>2011&lt;/PublicationDate>
   	&lt;Authors>
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        	&lt;DisplayName>Kim, Deokhwan, Ph. D. Massachusetts Institute of Technology.&lt;/DisplayName>
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            &lt;DisplayName>Massachusetts Institute of Technology&lt;/DisplayName>
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    &lt;License>http://dspace.mit.edu/handle/1721.1/7582&lt;/License>
    &lt;Keyword>Electrical Engineering and Computer Science.&lt;/Keyword>
   	&lt;Abstract>We present a new technique for verifying commutativity conditions, which are logical formulas that characterize when operations commute. Because our technique reasons with the abstract state of verified linked data structure implementations, it can verify commuting operations that produce semantically equivalent (but not necessarily identical) data structure states in different execution orders. We have used this technique to verify sound and complete commutativity conditions for all pairs of operations on a collection of linked data structure implementations, including data structures that export a set interface (ListSet and HashSet) as well as data structures that export a map interface (AssociationList, HashTable, and ArrayList). This effort involved the specification and verification of 765 commutativity conditions. Many speculative parallel systems need to undo the effects of speculatively executed operations. Inverse operations, which undo these effects, are often more efficient than alternate approaches (such as saving and restoring data structure state). We present a new technique for verifying such inverse operations. We have specified and verified, for all of our linked data structure implementations, an inverse operation for every operation that changes the data structure state. Together, the commutativity conditions and inverse operations provide a key resource that language designers, developers of program analysis systems, and implementors of software systems can draw on to build languages, program analyses, and systems with strong correctness guarantees.&lt;/Abstract>
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