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版本更新 · v2arXiv:2609.10114

Policy Change for Treelike Monitors

François Hublet, Dhruv Nevatia, Joshua Schneider

原文摘要

We study the policy change problem that arises in the runtime verification of long-running systems. The online monitors typically used in this context are generally treelike, in that they maintain substates that monitor subformulae of the target policy. We consider when and how the policy can be changed while the monitored system is running by only exploiting the information stored in the monitor's state. This is relevant, for example, to account for new system functionality or changes in regulatory requirements. We formally define the policy change problem in a general setting, independent of any specific (treelike) monitor implementation. We then show that policy change for past-time metric temporal logic (pMTL) is decidable but has tight non-primitive recursive lower and upper bounds, while with discrete-time semantics it is EXPSPACE-complete.

cs.LO

版本更新 · v3arXiv:2610.11991

Quantitative Verification of Infinite-State Networks

Dhruv Nevatia, David Basin

原文摘要

Many network protocols and distributed systems combine recursion, unbounded local state, and quantitative behaviour such as cost, latency, or reliability. Existing decidability results for networks of pushdown systems are largely qualitative, and do not extend to quantitative analyses, which must jointly track traces and weights. We present a framework for the quantitative verification of acyclic networks of weighted pushdown systems. Finitely summarising a recursive network component requires collapsing the infinite family of runs obtained by pumping its nested loops, and doing so exactly, rather than by over-approximation, is a standing difficulty. We give a class of weight domains where this is possible: pumping semirings, those in which the weights accumulated by such a family collapse to a closed form; informally, the domain must be unable to count iterations. The class admits domains with infinite ascending chains, such as the arctic semiring and downward-closed languages. Over these, we give a terminating saturation algorithm computing quantitative reachability exactly, resting on two ideas: segment tree algebras, a compositional representation of runs, and thermal extensions, which symbolically separate accelerated weights so that further acceleration remains exact. We use this to compute upward and downward closures of context-free languages uniformly, and to lift the algorithm to acyclic networks over "thin" pumping semirings, yielding the first quantitative safety and reachability analyses for networks of pushdown systems.

cs.FL · cs.LO · cs.PL