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MKM
2009
Springer
13 years 11 months ago
Reasoning with Generic Cases in the Arithmetic of Abstract Matrices
Alan P. Sexton, Volker Sorge, Stephen M. Watt
TPHOL
1999
IEEE
13 years 9 months ago
A Machine-Checked Theory of Floating Point Arithmetic
Abstract. Intel is applying formal verification to various pieces of mathematical software used in Merced, the first implementation of the new IA-64 architecture. This paper discus...
John Harrison
FMCAD
2004
Springer
13 years 10 months ago
Integrating Reasoning About Ordinal Arithmetic into ACL2
Abstract. Termination poses one of the main challenges for mechanically verifying infinite state systems. In this paper, we develop a powerful and extensible framework based on th...
Panagiotis Manolios, Daron Vroon
DAGSTUHL
2008
13 years 6 months ago
Error Bounds for Lanczos Approximations of Rational Functions of Matrices
Abstract. Having good estimates or even bounds for the error in computing approximations to expressions of the form f(A)v is very important in practical applications. In this paper...
Andreas Frommer, Valeria Simoncini
ESOP
2007
Springer
13 years 11 months ago
Computing Procedure Summaries for Interprocedural Analysis
Abstract. We describe a new technique for computing procedure summaries for performing an interprocedural analysis on programs. Procedure summaries are computed by performing a bac...
Sumit Gulwani, Ashish Tiwari