Abstract
AbstractIn floating-point programs, guard instability occurs when the control flow of a conditional statement diverges from its ideal execution under real arithmetic. This phenomenon is caused by the presence of round-off errors in floating-point computations. Writing programs that correctly handle guard instability often requires expertise on finite precision arithmetic. This paper presents a fully automatic toolchain that generates and formally verifies a guard-stable floating-point C program from its functional specification in real arithmetic. The generated program is instrumented to soundly detect when unstable guards may occur and, in these cases, to issue a warning. The proposed approach combines the PRECiSA floating-point static analyzer, the Frama-C software verification suite, and the PVS theorem prover.
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