First I would and do ask, which logic? Our logic? Well, I would say that God is at times SEPARATE from our logic. And please, do not misunderstand me. I am fully aware that God in His Divine design created us with minds that function in certain ways and God Himself promotes rational thinking. The Proverbs are filled with such reflections and principles. And our theological conclusions could not be drawn without the capacity for and the broad application of logic.
But where logic is limited I believe we must cede. For example. God is omniscient. What is omniscience? Well we know it is knowing all things that can be known at all times (or any similar definitions but you get the point without stopping to split hairs). But can we completely comprehend omniscience? No. It is impossible to know what it is like to hear all sounds by all creatures and understand and perceive all actions by all creatures, never minding just humans, and all potential actions by all elements whether fulfilled or possible simultaneously (and every other thing that comes with omniscience of which I could never write enough if I had eternity).
Though our human capacity for logic can understand this as a reality and appreciate it in many ways as evidenced by rich theological systems derived from the Scriptures, we are limited to comprehending its full effects and interactions and cannot draw absolute resolutions that need no further illumination. If we could define and understand it as such, we would be DIVINE. This is not to say we cannot define some certainties of omniscience.
Yes, we can know MANY boundaries of omniscience and many FUNCTIONS but we cannot determine logically, all, simply because our capacity to know and understand OMNISCIENCE is humanly limited, particularly here on earth. SO at some point our logic is limited.
There are times something does defy logic in the work of God. Not because GOD is illogical or above logic but SEPARATE from logic in the sense that He is more than that but all of that.
I do realize that what I have said, myself, may appear a bit lacking in definitive terms and maybe someone might accuse me of being obtuse or deliberately avoiding giving a direct answer, and if so I understand why they might believe that but trust me, I am not avoiding any direct answer here and am quite earnest.