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生命科学的重写理论: CTMC语义学的统一理论(CS LO)

Kappa 生物化学和MD有机化学框架是迄今为止在生命科学中重写理论方法的最为成熟的应用之一。这些类型的重写理论的一个典型特征是必须对要重写的对象实施某些结构约束(一个蛋白质被经验性地发现具有某些特定的位点,一个碳原子最多可以形成四个键,...)。 在本文中,我们为这些类型的重写理论的理论基础做出了贡献,许多概念和技术的发展使得连续时间马尔可夫链(CTMCs)的通用理论能够应用于随机重写。 我们的核心数学概念是一个新颖的规则代数结构,用于在双重和倍半推出语义学中相关的重写规则设置,并通过一个合适的随机力学形式扩展得到模式计数统计的动态演化方程。

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    REdis MASTER aborted replication NOAUTH Authentication required

    对于REdis集群,如果设置了requirepass, 则一定要设置masterauth,否则从节点无法正常工作,查看从节点日志可以看到哪下内容: 19213:S 22 Apr 2019 10:52:17.389 * Connecting to MASTER 1.6.18.16:2181 19213:S 22 Apr 2019 10:52:17.389 * MASTER <-> REPLICA sync started 19213:S 22 Apr 2019 10:52:17.389 * Non blocking connect for SYNC fired the event. 19213:S 22 Apr 2019 10:52:17.390 * Master replied to PING, replication can continue... 19213:S 22 Apr 2019 10:52:17.390 * (Non critical) Master does not understand REPLCONF listening-port: -NOAUTH Authentication required. 19213:S 22 Apr 2019 10:52:17.390 * (Non critical) Master does not understand REPLCONF capa: -NOAUTH Authentication required. 19213:S 22 Apr 2019 10:52:17.390 * Partial resynchronization not possible (no cached master) 19213:S 22 Apr 2019 10:52:17.390 # Unexpected reply to PSYNC from master: -NOAUTH Authentication required. 19213:S 22 Apr 2019 10:52:17.390 * Retrying with SYNC... 19213:S 22 Apr 2019 10:52:17.390 # MASTER aborted replication with an error: NOAUTH Authentication required. 正常时的日志如下: 37706:S 22 Apr 2019 10:59:13.125 * Connecting to MASTER 1.6.18.16:2181 37706:S 22 Apr 2019 10:59:13.125 * MASTER <-> REPLICA sync started 37706:S 22 Apr 2019 10:59:13.125 * Non blocking connect for SYNC fired the event. 37706:S 22 Apr 2019 10:59:13.125 * Master replied to PING, replication can continue... 37706:S 22 Apr 2019 10:59:13.125 * Trying a partial resynchronization (request d2aeb271d9f4974e71487e5dac86e6e8c70c025e:1). 37706:S 22 Apr 2019 10:59:13.126 * Full resync from master: 884f5964d7eff95277ecb6d594ff4dd78b7eb900:0 37706:S 22 Apr 2019 10:59:13.126 * Discarding previously cached master state. 37706:S 22 Apr 2019 10:59:13.165 * MASTER <-> REPLICA sync: receiving 175 bytes from master 37706:S 22 Apr 2019 10:59:13.165 * MASTER <-> REPLICA sync: Flushing old data 37706:S 22 Apr 2019 10:59:13.165 * MASTER <-> REPLICA sync: Loading DB in memory 37706:S 22 Apr 2019 10:59:13.165 * MASTER <-> REPLICA sync: Finished with success 37706:S 22 Apr 2019 10:59:13.165 * Background append only

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