Satisfiability for Knowing How over Linear Plans is NP-complete
For researchers in modal logic and knowledge representation, this result tightens the complexity characterization of a key logical formalism.
The paper proves that the satisfiability problem for a modal logic of knowing-how over linear plans is NP-complete, improving previous complexity bounds.
We study the satisfiability problem for a modal logic expressing knowing-how assertions, which captures an agent's ability to achieve a given goal under the standard semantics based on linear plans. Our main result shows that satisfiability of knowing-how formulas is NP-complete, improving previously known complexity bounds. The proof proceeds via a translation into modal logic S5, an instrumental tool for addressing a variety of problems in knowledge representation.