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| S, C, AS : | principal |
| N1, N2, N3 : | nonce |
| T : | timestamp |
| L : | lifetime |
| pk, sk : | principal -> key (keypair) |
| 1. | C | -> | AS | : | C, S, N1 |
| 2. | AS | -> | C | : | AS, {AS, C, N1, pk(S)}sk(AS) |
| 3. | C | -> | S | : | C, S, {C, T, L, {N2}pk(S)}sk(C) |
| 4. | S | -> | AS | : | S, C, N3 |
| 5. | AS | -> | S | : | AS, {AS, S, N3, pk(C)}sk(AS) |
| 6. | S | -> | C | : | S, C, {S, inc(N2)}pk(C) |
| 1. | I | -> | AS | : | I, S, N1 |
| 2. | AS | -> | I | : | AS, {AS, I, N1, pk(S)}sk(AS) |
| 3. | I(C) | -> | S | : | C, S, {C, T, L, {N2}pk(S)}sk(I) |
| 4. | S | -> | I(AS) | : | S, C, N3 |
| 4. | I(S) | -> | AS | : | S, I, N3 |
| 5. | AS | -> | S | : | AS, {AS, S, N3, pk(I)}sk(AS) |
| 6. | S | -> | I(C) | : | S, C, {S, inc(N2)}pk(I) |
| 1. | C | -> | I(AS) | : | C, S, N1 |
| 1. | I(C) | -> | AS | : | C, I, N1 |
| 2. | AS | -> | C | : | AS, {AS, C, N1, pk(I)}sk(AS) |
| 3. | C | -> | I(S) | : | C, S, {C, T, L, {N2}pk(I)}sk(C) |
| 4. | I | -> | AS | : | I, C, N3 |
| 5. | AS | -> | I | : | AS, {AS, S, N3, pk(C)}sk(AS) |
| 6. | S | -> | C | : | S, C, {S, inc(N2)}pk(C) |
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