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LIRA: Handling Constraints of Linear Arithmetics over the Integers and the Reals⋆ Bernd Becker1 , Christian Dax2 , Jochen Eisinger1 , and Felix Klaedtke2 1
1
Albert-Ludwigs-Universit¨ at Freiburg, Germany 2 ETH Zurich, Switzerland
Introduction
The mechanization of many verification tasks relies on efficient implementations of decision procedures for fragments of first-order logic. Interactive theorem provers like pvs also make use of such decision procedures to increase the level of automation. Our tool lira3 implements decision procedures based on automata-theoretic techniques for first-order logics with linear arithmetic, namely, for FO(N, +), FO(Z, +,