Is there a plural for logic?

In its entry for logic as used in computing and electronics, the Oxford English Dictionary has this citation from 1968:

He separated the ternary circuits into two sets of binary circuits, one based on a positive logic and the other on a negative one. Then he used translating circuits between the two logics and achieved a true ternary output with the aid of a combining circuit.

If you think your readers will be familiar with this use of the plural, there seems to be no reason not to use it.

In most usages, logic is an uncountable noun, so load logic could mean either one logical statement or many of them.

I am a programmer, and in the context of programming, I only ever use "logic". Program logic is code. There may be a few lines, or tens of thousands of lines. Even though the code may be modularized, or located in separate files, it's all still the application logic.

This is just my opinion and my usage, not a definitive answer. But if "logics" is the answer, then it should always be used, because no program is ever just one line of code.