Automatic Decidability for Theories with Counting Operators
Identifieur interne : 001171 ( Main/Exploration ); précédent : 001170; suivant : 001172Automatic Decidability for Theories with Counting Operators
Auteurs : Elena Tushkanova [France] ; Christophe Ringeissen [France] ; Alain Giorgetti [France] ; Olga Kouchnarenko [France]Source :
Abstract
The notion of schematic paramodulation has been introduced to reason on properties of (standard) paramodulation. We present a schematic paramodulation calculus modulo a fragment of arithmetics, namely the theory of Integer Offsets. This new schematic calculus is used to prove the decidability of the satisfiability problem for some theories equipped with counting operators. We illustrate our theoretical contribution on theories representing extensions of classical data structures, e.g., lists and records.
Url:
Affiliations:
- France
- Franche-Comté, Grand Est, Lorraine (région)
- Belfort, Besançon, Metz, Nancy
- Université de Bourgogne Franche-Comté, Université de Franche-Comté, Université de Lorraine, Université de technologie de Belfort-Montbéliard
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Le document en format XML
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<front><div type="abstract" xml:lang="en">The notion of schematic paramodulation has been introduced to reason on properties of (standard) paramodulation. We present a schematic paramodulation calculus modulo a fragment of arithmetics, namely the theory of Integer Offsets. This new schematic calculus is used to prove the decidability of the satisfiability problem for some theories equipped with counting operators. We illustrate our theoretical contribution on theories representing extensions of classical data structures, e.g., lists and records.</div>
</front>
</TEI>
<affiliations><list><country><li>France</li>
</country>
<region><li>Franche-Comté</li>
<li>Grand Est</li>
<li>Lorraine (région)</li>
</region>
<settlement><li>Belfort</li>
<li>Besançon</li>
<li>Metz</li>
<li>Nancy</li>
</settlement>
<orgName><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>
</list>
<tree><country name="France"><region name="Grand Est"><name sortKey="Tushkanova, Elena" sort="Tushkanova, Elena" uniqKey="Tushkanova E" first="Elena" last="Tushkanova">Elena Tushkanova</name>
</region>
<name sortKey="Giorgetti, Alain" sort="Giorgetti, Alain" uniqKey="Giorgetti A" first="Alain" last="Giorgetti">Alain Giorgetti</name>
<name sortKey="Kouchnarenko, Olga" sort="Kouchnarenko, Olga" uniqKey="Kouchnarenko O" first="Olga" last="Kouchnarenko">Olga Kouchnarenko</name>
<name sortKey="Ringeissen, Christophe" sort="Ringeissen, Christophe" uniqKey="Ringeissen C" first="Christophe" last="Ringeissen">Christophe Ringeissen</name>
</country>
</tree>
</affiliations>
</record>
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