Coming to the UK to claim asylum is a right protected in international law, and therefore any notion of illegality is legally wrong. Also, denying citizenship would leave a lot of refugees stateless, in direct contravention of the Convention on Statelessness 1954 to which the UK is a signatory. (1)
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naturalization of stateless persons. They shall in particular make every effort
to expedite naturalization proceedings and to reduce as far as possible the
charges and costs of such proceedings." 2