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Future air traffic management will have to rely on more, and more sophisticated, automation to accommodate predicted air traffic. However, studies across various domains have shown that user acceptance of automation decreases when the authority of decision-making automation increases. As a result, low user acceptance could lead to disuse of an automated tool and threaten potential safety and performance benefits. Through a series of human-in-the-loop simulations, the work described in this paper examined the interacting effects of air traffic complexity and strategic conformance, i.e., the fit between human and machine strategies, on automation acceptance in a conflict detection and resolution task. An experiment with 16 professional air traffic controllers showed that strategic conformance is a potentially important construct. That is, conformal resolution advisories were more accepted, led to higher controller agreement, and also reduced response time to proposed advisories.