Comparing class files for equivalence

I have a group of class files that were apparently compiled with two
different compilers, and I want to know if these files were compiled
out of the same source files. I tried decompiling them with jad, but I
found a lot of differences in the decompiled source code that do not
eventually change the logic behind the code. Is there a way somebody
may suggest to test two groups of classes for having equivalent logic?
Are there any tools that do equivalence checking of two classes?

Thank you.

.

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