%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % var-validity of mixed stacks %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% vvalMS : stack -> stack -> type. vvalMS_init : vvalMS dot dot. vvalMS_v : vvalMS (XXi , V) (Xi , V) <- vvalMS XXi Xi. vvalMS_t : vvalMS (XXi , V) (Xi , T) <- ({xi:stack}vvalT xi T xi) <- vvalMS XXi Xi. vvalDS->vvalMS : vvalDS XXi Xi -> vvalMS XXi Xi -> type. ds_ms_init : vvalDS->vvalMS vvalDS_init vvalMS_init. ds_ms_stack : vvalDS->vvalMS (vvalDS_stack VVDS VVT) (vvalMS_t VVMS VVT) <- vvalDS->vvalMS VVDS VVMS.