How to get AmigaBASIC running on Kickstart 3.1?

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If you're talking about Metacomco's ABasiC, then yes.

And surprisingly, perhaps, the MetaComCo Basic is better than Microsoft's effort...

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Lots of people, including me, bought AMOS, but this had its own environment, designed for creating games. When I used to run it, there was no sign on the Amiga Workbench, because I think it totally bypassed it. It was a port of STOS for the Atari ST, so that's not surprising. I'm talking about AMOS, not AMOS Pro. I never got very far with AMOS.

Here's a pic of the AMOS packaging. No sign of the Workbench there!

http://www.triumphoverchallenges.com/wp-content/uploads/2010/11/AMOS-whats-in-the-box.jpg

Here's the main page about AMOS and STOS.

http://www.triumphoverchallenges.com/stos-and-amos-game-creators/

AMOS is pretty powerful, but if you want some serious grunt and full OS compatibility (so you can use intuition etc)... then you have little choice beyond BlitzBasic2 (or amiblitz as I think it is called now).

Give up with AmigaBASIC now, it really is junk.