Query Checking for Linear Temporal Logic

Abstract

The query-checking problem for temporal logic may be formulated as follows. Given a Kripke structure M and a temporal-logic query of form \(\phi \left[ {\texttt {var}}\right] \), which may be thought of as a temporal formula with a missing propositional subformula \({\texttt {var}}\), find the most precise propositional formula f that, when substituted for \({\texttt {var}}\) in \(\phi \left[ {\texttt {var}}\right] \), ensures M satisfies the resulting temporal property. Query checking has been used for system comprehension, specification reconstruction, and other related applications in the formal analysis of systems.