  Hybrid logic is one of the extensions of modal logic. The many-dimensional
product of hybrid logic is called hybrid product logic (HPL). We construct a
sound and complete tableau calculus for two-dimensional HPL. Also, we made a
tableau calculus for hybrid dependent product logic (HdPL), where one dimension
depends on the other. In addition, we add a special rule to the tableau
calculus for HdPL and show that it is still sound and complete. All of them
lack termination, however.
