InforLorV4, Main, Exploration, bibRecord, 000D26

Unification modulo a 2-sorted Equational theory for Cipher-Decipher Block Chaining

Identifieur interne : 000D26 ( Main/Exploration ); précédent : 000D25; suivant : 000D27

Unification modulo a 2-sorted Equational theory for Cipher-Decipher Block Chaining

Auteurs : Siva Anantharaman [France] ; Christopher Bouchard [États-Unis] ; Paliath Narendran [États-Unis] ; Michaël Rusinowitch [France]

Source :

Logical Methods in Computer Science [ 1860-5974 ] ; 2014.

RBID : Hal:hal-00854841

Abstract

We investigate unification problems related to the Cipher Block Chaining (CBC) mode of encryption. We first model chaining in terms of a simple, convergent, rewrite system over a signature with two disjoint sorts: {\em list\/} and {\em element.\/} By interpreting a particular symbol of this signature suitably, the rewrite system can model several practical situations of interest. An inference procedure is presented for deciding the unification problem modulo this rewrite system. The procedure is modular in the following sense: any given problem is handled by a system of 'list-inferences', and the set of equations thus derived between the element-terms of the problem is then handed over to any ('black-box') procedure which is complete for solving these element-equations. An example of application of this unification procedure is given, as attack detection on a Needham-Schroeder like protocol, employing the CBC encryption mode based on the associative-commutative (AC) operator XOR. The 2-sorted convergent rewrite system is then extended into one that fully captures a block chaining encryption-decryption mode at an abstract level, using no AC-symbols; and unification modulo this extended system is also shown to be decidable.

Url:

https://hal.archives-ouvertes.fr/hal-00854841

DOI: 10.2168/LMCS-10(1:5)2014

Affiliations:

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<date type="start">2012-01-01</date>
<desc><address><addrLine>34 cours Léopold - CS 25233 - 54052 Nancy cedex</addrLine>
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<ref type="url">http://www.univ-lorraine.fr/</ref>
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<orgName>Centre National de la Recherche Scientifique</orgName>
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<orgName>Franche-Comté Électronique Mécanique, Thermique et Optique - Sciences et Technologies</orgName>
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<orgName>Université de Franche-Comté</orgName>
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</address>
</desc>
</org>
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<orgName>Centre National de la Recherche Scientifique</orgName>
<orgName type="acronym">CNRS</orgName>
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<country>France</country>
<placeName><settlement type="city">Nancy</settlement>
<settlement type="city">Metz</settlement>
<region type="region" nuts="2">Grand Est</region>
<region type="old region" nuts="2">Lorraine (région)</region>
</placeName>
<orgName type="university">Université de Lorraine</orgName>
<placeName><settlement type="city" wicri:auto="siege">Besançon</settlement>
<region type="region" nuts="2">Franche-Comté</region>
</placeName>
<orgName type="university">Université de Franche-Comté</orgName>
<orgName type="institution" wicri:auto="newGroup">Université de Bourgogne Franche-Comté</orgName>
<placeName><settlement type="city" wicri:auto="siege">Belfort</settlement>
<region type="region" nuts="2">Franche-Comté</region>
</placeName>
<orgName type="university">Université de technologie de Belfort-Montbéliard</orgName>
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<idno type="DOI">10.2168/LMCS-10(1:5)2014</idno>
<series><title level="j">Logical Methods in Computer Science</title>
<idno type="ISSN">1860-5974</idno>
<imprint><date type="datePub">2014</date>
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<profileDesc><textClass><keywords scheme="mix" xml:lang="it"><term>Block chaining</term>
<term>Equational unification</term>
<term>Protocol</term>
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<front><div type="abstract" xml:lang="en">We investigate unification problems related to the Cipher Block Chaining (CBC) mode of encryption. We first model chaining in terms of a simple, convergent, rewrite system over a signature with two disjoint sorts: {\em list\/} and {\em element.\/} By interpreting a particular symbol of this signature suitably, the rewrite system can model several practical situations of interest. An inference procedure is presented for deciding the unification problem modulo this rewrite system. The procedure is modular in the following sense: any given problem is handled by a system of 'list-inferences', and the set of equations thus derived between the element-terms of the problem is then handed over to any ('black-box') procedure which is complete for solving these element-equations. An example of application of this unification procedure is given, as attack detection on a Needham-Schroeder like protocol, employing the CBC encryption mode based on the associative-commutative (AC) operator XOR. The 2-sorted convergent rewrite system is then extended into one that fully captures a block chaining encryption-decryption mode at an abstract level, using no AC-symbols; and unification modulo this extended system is also shown to be decidable.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
<li>États-Unis</li>
</country>
<region><li>Centre-Val de Loire</li>
<li>Franche-Comté</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
<li>Région Centre</li>
</region>
<settlement><li>Belfort</li>
<li>Besançon</li>
<li>Metz</li>
<li>Nancy</li>
<li>Orléans</li>
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<orgName><li>Centre Val de Loire Université</li>
<li>Université d'Orléans</li>
<li>Université de Bourgogne Franche-Comté</li>
<li>Université de Franche-Comté</li>
<li>Université de Lorraine</li>
<li>Université de technologie de Belfort-Montbéliard</li>
</orgName>
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<tree><country name="France"><region name="Région Centre"><name sortKey="Anantharaman, Siva" sort="Anantharaman, Siva" uniqKey="Anantharaman S" first="Siva" last="Anantharaman">Siva Anantharaman</name>
</region>
<name sortKey="Rusinowitch, Michael" sort="Rusinowitch, Michael" uniqKey="Rusinowitch M" first="Michaël" last="Rusinowitch">Michaël Rusinowitch</name>
</country>
<country name="États-Unis"><noRegion><name sortKey="Bouchard, Christopher" sort="Bouchard, Christopher" uniqKey="Bouchard C" first="Christopher" last="Bouchard">Christopher Bouchard</name>
</noRegion>
<name sortKey="Narendran, Paliath" sort="Narendran, Paliath" uniqKey="Narendran P" first="Paliath" last="Narendran">Paliath Narendran</name>
</country>
</tree>
</affiliations>
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Unification modulo a 2-sorted Equational theory for Cipher-Decipher Block Chaining

Unification modulo a 2-sorted Equational theory for Cipher-Decipher Block Chaining

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