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Lecture Notes in Computer Science
This paper introduces a static analysis technique for computing formally verified round-off error bounds of floating-point functional expressions. The technique is based on a denotational semantics that computes a symbolic estimation of floating-point round-off errors along with a proof certificate that ensures its correctness. The symbolic estimation can be evaluated on concrete inputs using rigorous enclosure methods to produce formally verified numerical error bounds. The proposed techniquedoi:10.1007/978-3-319-66266-4_14 fatcat:aeouavpsinfkhdu45gjn7je3ny