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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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Submitted on : Monday, January 6, 2014 - 4:44:02 PM
Last modification on : Friday, January 21, 2022 - 3:15:41 AM
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Pierre Neron. Square root and division elimination in PVS. ITP - 4th Conference on Interactive Theorem Proving, Jul 2013, Rennes, France. pp.457-462, ⟨10.1007/978-3-642-39634-2_33⟩. ⟨hal-00924359⟩



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