LARA This is an old revision of the document! Reasoning with procedures. Quantifier elimination. Reasoning with Procedures Recall Language with Specified Procedures and Relational Semantics of Procedures. G Reasoning as Approximation of Relations Assume Guarantee Reasoning with Procedures G Reasoning Frame Conditions Simple Module Invariants Quantifier Elimination Quantifier Elimination Definition QE from Conjunction of Literals Suffices Simple QE for Dense Linear Orders List of Theories Admitting QE