- Raymond T. Boute. The Euclidean definition of the functions div and mod. ACM Trans. Program. Lang. Syst., 14(2):127--144, April 1992. Google ScholarDigital Library
- Nicolas Brisebarre, David Defour, Peter Kornerup, Jean-Michel Muller, and Nathalie Revol. A new range-reduction algorithm. IEEE Trans. Comput., 54(3):331--339, March 2005. Google ScholarDigital Library
- Nachum Dershowitz and Edward M. Reingold. Calendrical Calculations. Cambridge University Press, New York, NY, USA, 3rd edition, 2007. Google ScholarDigital Library
- Ronald L. Graham, Donald E. Knuth, and Oren Patashnik. Concrete Mathematics. Addison-Wesley Longman Publishing Co., Inc., Boston, MA, USA, 2nd edition, 1994.Google Scholar
- Kenneth E. Iverson. A Programming Language. John Wiley & Sons, Inc., New York, NY, USA, 1962. Google ScholarDigital Library
- Tsuneo Nakanishi and Akira Fukuda. Modulo interval arithmetic and its application to program analysis. Transactions of Information Processing Society of Japan (Jöhö Shori Gakkai ronbun shi), 42(4):829--837, April 2001.Google Scholar
- Tsuneo Nakanishi, Akira Fukuda, Kazuki Joe, and Constantine D. Polychronopoulos. The modulo interval: A simple and practical representation for program analysis. In Proceedings of the 1999 International Conference on Parallel Architectures and Compilation Techniques, PACT '99, pages 91--96, Washington, DC, USA, 1999. IEEE Computer Society. Google ScholarDigital Library
Index Terms
- Modulo intervals: a proposed notation
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