Static Analysis of the Numerical Stability of Loops
SAS '02 Proceedings of the 9th International Symposium on Static Analysis
Probabilistic interval-valued computation: representing and reasoning about uncertainty in dsp and vlsi design
Semantics of roundoff error propagation in finite precision calculations
Higher-Order and Symbolic Computation
A java simulation tool for fixed-point system design
Proceedings of the 2nd International Conference on Simulation Tools and Techniques
Overflow and Roundoff Error Analysis via Model Checking
SEFM '09 Proceedings of the 2009 Seventh IEEE International Conference on Software Engineering and Formal Methods
Static analysis of numerical algorithms
SAS'06 Proceedings of the 13th international conference on Static Analysis
Under-approximations of computations in real numbers based on generalized affine arithmetic
SAS'07 Proceedings of the 14th international conference on Static Analysis
SMT for Polynomial Constraints on Real Numbers
Electronic Notes in Theoretical Computer Science (ENTCS)
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This paper proposes a counterexample-guided narrowing approach, which mutually refines analyses and testing if (possibly spurious) counterexamples are found. A prototype tool CANAT for checking roundoff errors between floating point and fixed point numbers is reported with preliminary experiments.