Square root and division elimination in PVS

Abstract : In this paper we present a new strategy for PVS that imple- ments a square root and division elimination in order to use automatic arithmetic strategies that were not able to deal with these operations in the ﰁrst place. This strategy relies on a PVS formalization of the square root and division elimination and deep embedding of PVS expressions inside PVS. Therefore using computational reﰂection and symbolic com- putation we are able to automatically transform expressions into division and square root free ones before using these decision procedures.
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Communication dans un congrès
Sandrine Blazy and Christine Paulin-Mohring and David Pichardie. ITP - 4th Conference on Interactive Theorem Proving, Jul 2013, Rennes, France. Springer, 7998, pp.457-462, 2013, Lecture Notes in Computer Science. 〈10.1007/978-3-642-39634-2_33〉
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Pierre Neron. Square root and division elimination in PVS. Sandrine Blazy and Christine Paulin-Mohring and David Pichardie. ITP - 4th Conference on Interactive Theorem Proving, Jul 2013, Rennes, France. Springer, 7998, pp.457-462, 2013, Lecture Notes in Computer Science. 〈10.1007/978-3-642-39634-2_33〉. 〈hal-00924359〉

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