Muslim Arbitration Tribunal operates within the framework of English law and does not constitute a separate Islamic legal system. Under the Act they are deemed to be "arbitration tribunals". The Muslim Arbitration Tribunal has no powers to grant a divorce which is valid in English and Welsh law. A "talaq" can be granted to recognise divorce. A sharia marriage has no bearing on personal status under UK law. The Muslim Arbitration Tribunal has no jurisdiction on criminal matters but can attempt reconciliation between spouses. Dominic Grieve of the Conservative Party has stated: “If it is true that these tribunals are passing binding decisions
Islamic criminal law in Aceh and distribution, gambling, adultery, rape, sexual harassment, certain intimacies outside marriage, and certain homosexual acts. Punishments include caning, fines, and imprisonment. Caning is the only Sharia-based punishment that applied in Aceh; an attempt to introduce stoning in 2009 by local legislature was vetoed by Governor of Aceh Irwandi Yusuf. In 2016 Aceh processed 324 first instance court cases under Islamic criminal law, and carried out at least 100 caning sentences. Supporters of Islamic criminal law defend its legality under the special autonomy granted to Aceh, saying that it is covered by the freedom of religion of the people of Aceh.