A more thorough explanation:

The Antiterrorism and Effective Death Penalty Act of 1996 (AEDPA) is a law passed by the 107th Congress to prevent terrorism, provide justice for victims, and establish an effective death penalty. The AEDPA includes provisions that increase penalties for crimes related to terrorism, provide restitution for victims of terrorism, and establish new legal procedures for capital cases.

One of the most significant changes made by the AEDPA was to the law of habeas corpus. Habeas corpus is a legal action that allows a person who is imprisoned to challenge the legality of their detention. The AEDPA's habeas reform provisions included a statute of limitations for habeas corpus claims and restrictions on a habeas petitioner's ability to file a second habeas petition. The AEDPA also narrowed the grounds on which successful habeas claims can be made.

Example 1: In Felker v. Turpin (1996), the Supreme Court held that the AEDPA's added restrictions on second habeas corpus petitions do not violate the Constitution's Article 1, §9. This means that the AEDPA's restrictions on second habeas petitions are constitutional.

Example 2: In Shoop v. Twyford (2022), the Supreme Court held that the AEDPA restricts a federal court's power to grant habeas relief. The AEDPA only allows the writ to be issued if the prisoner is in custody in violation of the Constitution or laws or treaties of the United States. The Supreme Court further held that the question under the AEDPA is not whether a federal court believes the state court's determination was incorrect, but whether that determination was unreasonable. This means that a prisoner must meet a substantially higher threshold to succeed in a habeas claim under the AEDPA.

These examples illustrate how the AEDPA's habeas reform provisions have restricted the ability of prisoners to challenge the legality of their detention. The AEDPA has made it more difficult for prisoners to succeed in habeas claims by narrowing the grounds on which successful claims can be made and imposing restrictions on second habeas petitions.