Maximum Satisfiability of Simple Temporal Problems
The Simple Temporal Problem (STP) is a core framework for quantitative temporal constraints. As STP data can be inconsistent, we study MAXSTP: compute a maximum-cardinality consistent subset of constraints. This extension is NP-hard, and we analyze its parameterized complexity under measures that capture practically relevant instance features: the number of variables $n$ (instance scale), the maximum coefficient magnitude $k$ (numeric range), and structural parameters of the constraint graph such as treewidth $tw$ (decomposability) and vertex cover size $vc$ (density). We show that MAXSTP is W[1]-hard parameterized by $n$, implying that $n$ and parameters that depend on $n$ (including $tw...
| Authors | Johannes K. Fichte, Johanna Groven, Peter Jonsson et al. |
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| Primary category | cs.CC |
| Published | 26 July 2026 |
| Last updated at source | 26 July 2026 |
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