I've never found a pair of non slippy boots! I bought Brasher, Salomon, Keene and Berghaus, all more or less the same, OK when dry, potentially dangerous when damp or wet. The biggest danger as I've experienced it is when rocks are damp or wet (and also move underfoot) and I also do not put my feet on rock moss. Obviously other things are problems, mud, crumbly earth, grass, plants, rotting vegetation for example. On my recent hike I slipped and fell on my back three times, always on damp days and each time because of a rock and my momentary lack of concentration. Luckily my rucksac cushioned the fall each time, if not I would have been in real trouble. I too rely on my hiking sticks to help me stay upright, saved me from serious problems many times.