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| A, B, S : | principal |
| Na, Ma, Nb, Mb : | number |
| Kas, Kbs, Kab : | key |
| Ta, Tb : | time |
| 1. | A | -> | B | : | A, Na |
| 2. | B | -> | S | : | B, {A, Na, Tb}Kbs, Nb |
| 3. | S | -> | A | : | {B, Na, Kab, Tb}Kas, {A, Kab, Tb}Kbs, Nb |
| 4. | A | -> | B | : | {A, Kab, Tb}Kbs, {Nb}Kab |
| 5. | A | -> | B | : | Ma, {A, Kab, Tb}Kbs |
| 6. | B | -> | A | : | Mb, {Ma}Kab |
| 7. | A | -> | B | : | {Mb}Kab |
| 1. | I(A) | -> | B | : | A, Na |
| 2. | B | -> | I(S) | : | B, {A, Na, Tb}Kbs, Nb |
| 3. | omitted | ||||
| 4. | I(A) | -> | B | : | {A, Na, Tb}Kbs, {Nb}Na |
| 5. | I(A) | -> | B | : | Ma, {A, Na, Tb}Kbs |
| 6. | B | -> | I(A) | : | Mb, {Ma}Na |
| 7. | I(A) | -> | B | : | {Mb}Na |
| i.5. | I(A) | -> | B | : | Ma, { A, Kab, Tb }Kbs |
| i.6. | B | -> | I(A) | : | Mb, {Ma}Kab |
| ii.5. | I(A) | -> | B | : | Mb, {A, Kab, Tb}Kbs |
| ii.6. | B | -> | I(A) | : | Mb', {Mb}Kab |
| i.7. | I(A) | -> | B | : | {Mb}Kab |
| a.2. | I(B) | -> | S | : | B, {A, K0ab, Tb}Kbs, Nb |
| a.3. | S | -> | I(A) | : | {B, Na, K1ab, Tb}Kas, {A, K1ab, Tb}Kbs, Nb |
| b.2. | I(B) | -> | S | : | B, {A, K1ab, Tb}Kbs, Nb |
| b.3. | S | -> | I(A) | : | {B, Na, K2ab, Tb}Kas, {A, K2ab, Tb}Kbs, Nb |
| etc |
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