This paper proposes a novel database replication algorithm that offers strong consistency (linearizable semantics) and allows reads and non-conflicting writes to execute in parallel in multiple replicas. The proposed algorithm supports the use of quorums to trade the availability/efficiency of read and write operations, making a bridge between consensus-based and quorum based solutions for database replication. Furthermore, the algorithm offers better performance for linearizable read-only transactions with a negligible impact on write transactions.