Did it once: alloy post stuck in steel frame. Dissolved the post allright but left a complete mess of aluminium residue which required a lot of effort to remove. Damaged the paint on the steel frame as well so we still ended up respraying despite setting out to avoid doing that.
Alloy post in alloy frame- DO NOT DO THIS!
How much seatpost is stuck? A few inches or much more? Have you damaged the post yet or can you still get a grip on it - leave it with penetrating oil and keep trying.
Will it move at all? - Any movement may allow you to get some cutting paste in there.
Heat might not be the best way either: have you thought about trying to cut the post out with a hacksaw blade? Cut it about an inch from the frame and then hacksaw down the inside and cut into it in lots of places to weaken it and try to peel it out. Lots of effort but probably the best solution.
Alloy post in alloy frame- DO NOT DO THIS!
How much seatpost is stuck? A few inches or much more? Have you damaged the post yet or can you still get a grip on it - leave it with penetrating oil and keep trying.
Will it move at all? - Any movement may allow you to get some cutting paste in there.
Heat might not be the best way either: have you thought about trying to cut the post out with a hacksaw blade? Cut it about an inch from the frame and then hacksaw down the inside and cut into it in lots of places to weaken it and try to peel it out. Lots of effort but probably the best solution.