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Table 1.

Notations of Lu et al.’s protocol.

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Fig 1.

Registration phase of Lu et al.’s protocol.

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Fig 2.

Login and authentication phases of Lu et al.’s protocol.

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Table 2.

Notations of the proposed protocol.

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Fig 3.

User registration phase.

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Fig 4.

Mutual authentication with key-agreement phase.

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Fig 5.

Role specification for user Ui.

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Fig 6.

Role specification for application server AS.

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Fig 7.

Role specification for registration server RS.

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Fig 8.

Role specification for the goal and environment.

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Fig 9.

Role specification in HLPSL for the session.

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Fig 10.

The result of the analysis using OFMC and CL-AtSe backends.

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Table 3.

Comparison of security properties.

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Table 3 Expand

Table 4.

Comparison of computational cost.

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Table 5.

Comparison of communication overhead.

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