Linear equations for unordered data vectors in $[D]^k\to{}Z^d
Following a recently considered generalisation of linear equations to unordered-data vectors and to ordered-data vectors, we perform a further generalisation to data vectors that are functions from k-element subsets of the unordered-data set to vectors of integer numbers. These generalised equations...
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| Vydané v: | Logical methods in computer science Ročník 18, Issue 4 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
Logical Methods in Computer Science e.V
12.12.2022
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| Predmet: | |
| ISSN: | 1860-5974, 1860-5974 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | Following a recently considered generalisation of linear equations to
unordered-data vectors and to ordered-data vectors, we perform a further
generalisation to data vectors that are functions from k-element subsets of the
unordered-data set to vectors of integer numbers. These generalised equations
naturally appear in the analysis of vector addition systems (or Petri nets)
extended so that each token carries a set of unordered data. We show that
nonnegative-integer solvability of linear equations is in nondeterministic
exponential time while integer solvability is in polynomial time. |
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| ISSN: | 1860-5974 1860-5974 |
| DOI: | 10.46298/lmcs-18(4:11)2022 |