I am about both ERC-20 and ERC-1155.
totalSupply be increased/decreased, when:
- transferring to 0x0?
- burning an amount already placed at 0x0 address?
By the way, should 0x0 be allowed to have non-zero balance?
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totalSupplyshouldn't change upon transfer
totalSupplyshould decrease upon burn (though I'm not sure how exactly you are planning to trigger that to begin with)
For ERC-1155, I believe that all answers are the same.