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improve probability statement
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## Usability
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## Usability
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1. When sending a message to a large group, the application knows whether it was received by other group members, with high probability
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1. When sending a message to a large group, the application learns whether it was received by other group members.
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2. When being part of a large group, the application is able to know whether they are missing messages
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2. When being part of a large group, the application is able to know whether they are missing messages.
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3. When being part of a large group, the application is able to retrieve missed messages
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3. When being part of a large group, the application is able to retrieve missed messages.
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## Reliability
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## Reliability
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1. When sending a message in a group, the publisher can ascertain the message was received by at least one recipient **(Vac-QA)**
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1. When sending a message in a group, the publisher can ascertain the message was received by at least one recipient **(Vac-QA)**.
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2. When receiving messages in a group, the receiver can ascertain most missed messages by receiving one recent message from the group. **(Vac-QA)**
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2. When receiving messages in a group, the receiver can ascertain most missed messages by receiving one recent message from the group. **(Vac-QA)**
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## Performance
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## Performance
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Assuming messages in a group are sent at least every `S` seconds.
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Assuming messages in a group are sent at least every `S` seconds.
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1. When sending a message in a group, the publisher can ensure the message was received by at least one recipient within `S` seconds **(Vac-DST)**
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1. When sending a message in a group, the publisher can ensure the message was received by at least one recipient within `S` seconds **(Vac-DST)**.
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2. When receiving messages in a group, the receiver can detect 90% of missed messages within `3*S` seconds
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2. When receiving messages in a group, the receiver can detect 90% of missed messages within `3*S` seconds.
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3. When receiving messages in group, the receiver can reach eventual consistency within `6*S` seconds **(Vac-DST)**
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3. When receiving messages in group, the receiver can reach eventual consistency within `6*S` seconds **(Vac-DST)**.
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## Supportability
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## Supportability
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