All Tibetan logic essentially comes down to running the three tests to prove if any given syllogism is true. For more information, please see my book, but for quick reference, here are the three tests:
Test #1: 1 & 3
Is there a connection between the subject and the reason? For example, in the classical example of “(1) Consider sound, (2) it’s changing, (3) because it’s made” is there a relationship between (1) sound and (3) being made? In other words, is sound something that’s made?
Test #2: if 3 is true, 2 must be true
If the (3) reason is true, then the (2) assertion must always be true. In our example above, if something is made must it be changing?
Test #3: if not 2, not 3
If the (2) assertion is negated, does that also negate the (3) reason? For example, if something is not changing (unchanging), must it also not be made? (For example space, which cannot be made.)
Again, for more information please see my book, but this is the core of what you need to understand to practice Tibetan logic.