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| A, B, S : | principal |
| Na, Nb : | number fresh |
| Kas, Kbs, Kab : | key |
| A knows : | A, B, S, Kas |
| B knows : | B, S, Kbs |
| S knows : | S, A, B, Kas, Kbs |
| 1. | A | -> | B | : | A, Na |
| 2. | B | -> | S | : | B, {A, Na, Nb}Kbs |
| 3. | S | -> | A | : | {B, Kab, Na, Nb}Kas, {A, Kab}Kbs |
| 4. | A | -> | B | : | {A, Kab}Kbs, {Nb}Kab |
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