Emergency stop method for a security member of a safety assembly, the safety assembly comprising the security member and a safety system, the safety system comprising: - a first core (10_1) comprising: ∘ two first computation programs (16_1, 18_1) capable of performing the same operations, and ∘ a first stop program (PA_1) capable of implementing an emergency stop, and - a second core (10_2) comprising: ∘ two second computation programs (16_2, 18_2) capable of performing the same operations, and ∘ a second stop program (PA_2) capable of implementing an emergency stop, the method comprising carrying out first steps comprising: - a first step of performing operations on the two first computation programs (16_1, 18_1), each performance of operations on a first computation program (16_1, 18_1) yielding a first result, - a first step of comparing the two first results, an anomaly of the first core (10_1) being detected if the two first results differ, - a first step of deriving the state of the safety system, at the end of which: ∘ if an anomaly of the first core (10_1) is detected, a third stop step is carried out by the second stop program (PA_2) of the second core (10_2), ∘ if no anomaly of the first core (10_1) is detected, second steps are carried out, the second steps comprising: - a second step of performing operations on the two second computation programs (16_2, 18_2), each performance of operations on a second computation program (16_2, 18_2) yielding a second result, - a second step of comparing the two second results, an anomaly of the second core (10_2) being detected if the two second results differ, - a second step of deriving the state of the safety system, at the end of which: ∘ if an anomaly of the second core (10_2) is detected, a fourth stop step is carried out by the first stop program (PA_1) of the first core (10_1), ∘ if no anomaly of the second core (10_2) is detected, the first steps are iterated, the first steps and the second steps being iterated as long as no anomaly of the first core (10_1) or of the second core (10_2) is detected. - a first core (10_1) comprising: ∘ two first computation programs (16_1, 18_1) capable of performing the same operations, and ∘ a first stop program (PA_1) capable of implementing an emergency stop, and ∘ two first computation programs (16_1, 18_1) capable of performing the same operations, and ∘ a first stop program (PA_1) capable of implementing an emergency stop, and - a second core (10_2) comprising: ∘ two second computation programs (16_2, 18_2) capable of performing the same operations, and ∘ a second stop program (PA_2) capable of implementing an emergency stop, ∘ two second computation programs (16_2, 18_2) capable of performing the same operations, and ∘ a second stop program (PA_2) capable of implementing an emergency stop, - a first step of performing operations on the two first computation programs (16_1, 18_1), each performance of operations on a first computation program (16_1, 18_1) yielding a first result, - a first step of comparing the two first results, an anomaly of the first core (10_1) being detected if the two first results differ, - a first step of deriving the state of the safety system, at the end of which: ∘ if an anomaly of the first core (10_1) is detected, a third stop step is carried out by the second stop program (PA_2) of the second core (10_2), ∘ if no anomaly of the first core (10_1) is detected, second steps are carried out, ∘ if an anomaly of the first core (10_1) is detected, a third stop step is carried out by the second stop program (PA_2) of the second core (10_2), ∘ if no anomaly of the first core (10_1) is detected, second steps are carried out, - a second step of performing operations on the two second computation programs (16_2, 18_2), each performance of operations on a second computation program (16_2, 18_2) yielding a second result, - a second step of comparing the two second results, an anomaly of the second core (10_2) being detected if the two second results differ, - a second step of deriving the state of the safety system, at the end of which: ∘ if an anomaly of the second core (10_2) is detected, a fourth stop step is carried out by the first stop program (PA_1) of the first core (10_1), ∘ if no anomaly of the second core (10_2) is detected, the first steps are iterated, ∘ if an anomaly of the second core (10_2) is detected, a fourth stop step is carried out by the first stop program (PA_1) of the first core (10_1), ∘ if no anomaly of the second core (10_2) is detected, the first steps are iterated,