Consider the following transactions with data items P and Q initialize...
Let S be a non-serial schedule, without loss of generality assume that T1 has started earlier than T2. The first instruction of T1 is read(P) and the last instruction of T2 is write(P), so the precedence graph for S has an edge from T1 to T2, now since S is a non-serial schedule the first instruction of T2(read(Q)) should be executed before last instruction of T1(write(Q)) and since read and write are conflicting operations, the precedence graph for S also contains an
edge from T2 to T1, So we will have a cycle in the precedence graph which implies that any non serial schedule with T1 as the earliest transaction will not be conflict serializable.
In a similar way we can show that if T2 is the earliest transaction then also the schedule is not conflict serializable.
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Consider the following transactions with data items P and Q initialize...
Explanation:
To determine whether the given non-serial interleaving of T1 and T2 for concurrent execution leads to a schedule that is conflict serializable or not, we need to analyze the dependencies and possible conflicts between the operations in the two transactions.
Step 1: Identify Read and Write Operations
Let's analyze the operations in each transaction:
T1: Read(P), Read(Q), If P=0 then Q:=Q+1, Write(Q)
T2: Read(Q), Read(P), If Q=0 then P:=P+1, Write(P)
Step 2: Identify Conflicting Operations
In order to determine conflict serializability, we need to identify conflicting operations. Conflicts occur when two operations access the same data item and at least one of them is a write operation. In this case, the conflicting operations are:
T1 Write(Q) and T2 Read(Q)
T2 Write(P) and T1 Read(P)
Step 3: Draw Precedence Graph
To determine whether the given schedule is conflict serializable or not, we can draw a precedence graph. The nodes of the graph represent the transactions, and the edges represent the conflicts between the operations. If the graph is acyclic, then the schedule is conflict serializable.
Precedence Graph:
T1 -> T2 (T1 precedes T2)
Step 4: Analyze the Precedence Graph
Since the precedence graph is acyclic, we can conclude that the given non-serial interleaving of T1 and T2 for concurrent execution leads to a schedule that is conflict serializable. Therefore, option B is the correct answer.
Consider the following transactions with data items P and Q initialize...
A
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