Implementing a Unification Algorithm for Protocol Analysis with XOR
Identifieur interne : 005044 ( Main/Exploration ); précédent : 005043; suivant : 005045Implementing a Unification Algorithm for Protocol Analysis with XOR
Auteurs : Max Tuengerthal [Allemagne] ; Ralf Küsters [Allemagne] ; Mathieu Turuani [France]Source :
Abstract
In this paper, we propose a unification algorithm for the theory $E$ which combines unification algorithms for $E_{\std}$ and $E_{\ACUN}$ (ACUN properties, like XOR) but compared to the more general combination methods uses specific properties of the equational theories for further optimizations. Our optimizations drastically reduce the number of non-deterministic choices, in particular those for variable identification and linear orderings. This is important for reducing both the runtime of the unification algorithm and the number of unifiers in the complete set of unifiers. We emphasize that obtaining a ``small'' set of unifiers is essential for the efficiency of the constraint solving procedure within which the unification algorithm is used. The method is implemented in the CL-Atse tool for security protocol analysis.
Url:
Affiliations:
- Allemagne, France
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Nancy
- Institut national polytechnique de Lorraine, Université Nancy 2, Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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<front><div type="abstract" xml:lang="en">In this paper, we propose a unification algorithm for the theory $E$ which combines unification algorithms for $E_{\std}$ and $E_{\ACUN}$ (ACUN properties, like XOR) but compared to the more general combination methods uses specific properties of the equational theories for further optimizations. Our optimizations drastically reduce the number of non-deterministic choices, in particular those for variable identification and linear orderings. This is important for reducing both the runtime of the unification algorithm and the number of unifiers in the complete set of unifiers. We emphasize that obtaining a ``small'' set of unifiers is essential for the efficiency of the constraint solving procedure within which the unification algorithm is used. The method is implemented in the CL-Atse tool for security protocol analysis.</div>
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<li>Université de technologie de Belfort-Montbéliard</li>
</orgName>
</list>
<tree><country name="Allemagne"><noRegion><name sortKey="Tuengerthal, Max" sort="Tuengerthal, Max" uniqKey="Tuengerthal M" first="Max" last="Tuengerthal">Max Tuengerthal</name>
</noRegion>
<name sortKey="Kusters, Ralf" sort="Kusters, Ralf" uniqKey="Kusters R" first="Ralf" last="Küsters">Ralf Küsters</name>
</country>
<country name="France"><region name="Grand Est"><name sortKey="Turuani, Mathieu" sort="Turuani, Mathieu" uniqKey="Turuani M" first="Mathieu" last="Turuani">Mathieu Turuani</name>
</region>
</country>
</tree>
</affiliations>
</record>
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