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Frédéric Herbreteau

Possible papers associated with this exact author name in Arrow. This page groups case-insensitive exact name matches and is not a full identity disambiguation profile.

2 papers
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2

TACAS Conference 2026 Conference Paper

Revisiting Stateful Partial-Order Reduction

  • Frédéric Herbreteau
  • Gérald Point
  • Gautham Viswanathan
  • Igor Walukiewicz

Abstract Partial-order methods accelerate the verification of concurrent programs. These methods are based on a concept of independence of actions, which induces an equivalence between different program runs. The equivalence allows for the construction of a reduced transition system that represents all runs up to this equivalence. Such a system can be orders of magnitude smaller than the full transition system representing all possible runs, while still containing all relevant information. We propose a new partial-order reduction method for concurrent acyclic programs that use variables and locks. Our algorithm is derived from first principles, suggesting it can be readily adapted to other settings. As our evaluation demonstrates, the algorithm offers substantial gains over existing partial-order methods.

I&C Journal 2016 Journal Article

Better abstractions for timed automata

  • Frédéric Herbreteau
  • B. Srivathsan
  • Igor Walukiewicz

We study the reachability problem for timed automata. A standard solution to this problem involves computing a search tree whose nodes are abstractions of zones. These abstractions preserve underlying simulation relations on the state space of the automaton. For both effectiveness and efficiency reasons, they are parameterized by the maximal lower and upper bounds (LU-bounds) occurring in the guards of the automaton. One such abstraction is the a ≼ L U abstraction defined by Behrmann et al. Since this abstraction can potentially yield non-convex sets, it has not been used in implementations. Firstly, we prove that a ≼ L U abstraction is the coarsest abstraction with respect to LU-bounds that is sound and complete for reachability. Secondly, we provide an efficient technique to use the a ≼ L U abstraction to solve the reachability problem.

v2026.09.13