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Least solutions of equations over N

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Book cover Automata, Languages and Programming (ICALP 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 820))

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Abstract

We consider the problem of computing the least solution X i , i=1,..., n, of a system of equations x i=f i, i=1,..., n, over N, i.e., the naturals (extended by ∞), where the right hand sides f i are expressions built up from constants and variables by operations taken from some set Ω. We present efficient algorithms for various subsets Ω of the operations minimum, maximum, addition and multiplication.

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Serge Abiteboul Eli Shamir

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© 1994 Springer-Verlag Berlin Heidelberg

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Seidl, H. (1994). Least solutions of equations over N . In: Abiteboul, S., Shamir, E. (eds) Automata, Languages and Programming. ICALP 1994. Lecture Notes in Computer Science, vol 820. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58201-0_85

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  • DOI: https://doi.org/10.1007/3-540-58201-0_85

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-58201-4

  • Online ISBN: 978-3-540-48566-7

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