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Recently, Boolean Satisfiability (SAT) solving has been proposed to tackle the increasing complexity in high-level system design. Working well for system specifications with a limited amount of routing options, they tend to fail for densely connected computing platforms. This paper proposes an automated system design approach employing Answer Set Programming (ASP). ASP provides a stringent semantics, allowing for an efficient representation of routing options. An automotive case-study illustrates that the proposed ASP-based system design approach is competitive for sparsely connected computing platforms, while it outperforms SAT-based approaches for dense Networks-on-Chip by an order of magnitude.