The idea that a tax will prevent inflation is an intuition that a lot of people have, but it's not correct. If your basic income is going to cause inflation, then a tax is not going to help. What matters is the level of consumer spending and the level of production that the consumer spending is chasing.

If you're curious, I've written a few blog posts about this:

http://www.greshm.org/blog/tax-revenue-is-meaningless/

http://www.greshm.org/blog/the-wrong-thing-to-tax-is-money/

http://www.greshm.org/blog/theres-only-one-way-to-pay-for-a-...