What type of operation is designed to catch or cut off a hostile force attempting to escape, with the aim of destroying it?

The operation designed to catch or cut off a hostile force attempting to escape, with the aim of destroying it, is known as a pursuit. This type of operation occurs when friendly forces engage in aggressive actions to follow an enemy who is retreating or attempting to evade engagement. The goal is to limit the enemy's options for retreat, disrupt their movements, and systematically destroy their capabilities.

In pursuit operations, speed and decisive action are critical. Forces must be well-coordinated and prepared to exploit any advantage, including the enemy's disarray during their retreat. This ensures that the friendly units can effectively engage the fleeing adversary, preventing them from regrouping or reestablishing defensive positions.

Other types of operations, such as exploitation, neutralization, and movement to contact, serve different strategic purposes and do not specifically focus on the destruction of a retreating enemy force. Exploitation aims to capitalize on the initial success and deepen an advance, while neutralization involves rendering an enemy capacity ineffective without a direct engagement. Movement to contact is about seeking out and making contact with the enemy, rather than specifically targeting a retreating opponent.