Could you please tell me the name of the font used in the logo of Publix Super Markets, Inc.?
The characters in the Publix logo look very similar to a font family called 'Horatio' — with a small amount of modification to the dot over the 'i'. Hope that helps.
It's either custom drawn letters or modified from a stock font like Bauhaus. It's not likely out of the box.
Here are some similar free fonts that could be used as a starting point to modify: http://www.fontspace.com/category/bauhaus
Publix probably have a custom logo font from the scratch, so probability is there they might not have created all the alphabets (just created p-u-b-l-i-x).
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According to Delta Fonts, the font used for Publix logo is Opificio Bold.