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 committed by Muslims or legal entities in Aceh. In addition, it also applies to offences committed by non-Muslims if the offences are not regulated in the Indonesian Criminal Code, or if committed together with a Muslim and the non-Muslim voluntarily chooses Islamic law. In April 2016 a Christian woman was caned 28 times for selling alcoholthe first non-Muslim to receive caning under the law. Major institutions relevant to the implementation of Islamic criminal law in Aceh include the ulama council (, MPU), the Wilayatul Hisbah (WH, sometimes referred to in English as the "Sharia police"), and the sharia courts ().