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Challenges of the Reachability Problem in Infinite-State Systems (Invited Paper)

Author Wojciech Czerwiński

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Author Details

Wojciech Czerwiński
  • University of Warsaw, Poland

Funding

  • Czerwiński, Wojciech: Supported by the ERC grant INFSYS, agreement no. 950398.

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Wojciech Czerwiński. Challenges of the Reachability Problem in Infinite-State Systems (Invited Paper). In 49th International Symposium on Mathematical Foundations of Computer Science (MFCS 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 306, pp. 2:1-2:8, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)
https://doi.org/10.4230/LIPIcs.MFCS.2024.2

Abstract

The reachability problem is a central problem for various infinite state systems like automata with pushdown, with different kinds of counters or combinations thereof. Despite its centrality and decades of research the community still lacks a lot of answers for fundamental and basic questions of that type. I briefly describe my personal viewpoint on the current state of art and emphasise interesting directions, which are worth investigating in my opinion. I also formulate several easy to formulate and understand challenges, which might be pretty hard to solve but at the same time illustrate fundamental lack of our understanding in the area.

Subject Classification

ACM Subject Classification
  • Theory of computation → Parallel computing models
Keywords
  • reachability problem
  • infinite-state systems
  • vector addition systems
  • pushdown

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