This workshop paper presents a simplified version of the proposed loop operator approach, applied to a logic with loops restricted to atomic roles and their transitive closures.
We show that the satisfiability problem for Strategy Logic introduced by Mogavero, Murano, and Vardi is $\Pi^1_\infty$-complete, and, more strongly, computably isomorphic to true second-order arithmetic. The lower bound is established for the next-time Boolean-goal fragment of Strategy Logic. Consequently, Strategy Log...
This book explains how algorithms work, for example, by exploiting the structure of the SAT problem with an appropriate logical calculus, like resolution, but also algorithms based on “physical” principles are considered.
This paper provides a constructive decision procedure, that, given a formula, produces either a proof showing the formula to be valid or a finite countermodel falsifying the formula, thus also proving the finite model property for both logics.
Marianna Girlando, Roman Kuznets, Sonia Marin et al.· 1 citation
This work introduces a formally verified transformation of Signal Temporal Logic (STL) formulas into a simplified form to ease their encoding as constraints in optimal control problems and identifies a minimal set of expressive formula patterns.
Danil Berrah, François Pessaux, Alexandre Chapoutot· Journal of automated reasoni...· 0 citations
This work considers a definitional fragment of Temporal Equilibrium Logic, which allows to capture temporal rules that contain complex (implication-free) temporal formulas in rule bodies, and shows how the set of all stable models of a theory can be represented as a non-deterministic finite state automaton (NFA).
When safety-critical systems are developed from a known internal specification, their correctness can be established by model checking. In the frequent case where such a specification is unknown or inaccessible, runtime verification presents an attractive alternative, e.g., to ascertain that autonomous and agentic syst...
Sarah Winkler, Toryn Q. Klassen, Sheila A. McIlraith et al.· 0 citations
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