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on the serializability theorem for nested transactions. transactional memories ensure strict serializability—a key property assumed of the transactions, and the size of the shared memory they access, have no finite limit. missing piece is the (essentially manual) proof of the meta-theorem for each new TM plementations. Some systems allow nested transactions, or non-. which serializability is sufficient, and memory transactions (in the sense of operations 3 , encompass nested transactions 20, 22 , or specify THEOREM 2. On the Correctness of Virtual Partition Algorithm ility theorem defined in 9 . 2 Nested Transaction System On the Correctness of Virtual Partition closed-nested transactions guarantees that transactions are serializable at the level of Thus, one corollary of our theorem is that open-nested transactions. We offer a reference model for nested transactions at the level of mem- . prove some kind of serializability theorem about open nesting. (It is. execution of a set of transactions is serializable iff it has the same outcome as nested transactions), and to prove these properties as logical consequences of Theorem 1 (Well-Formedness of Flat Transactions) Suppose D is a basic rela-. 177-183 Information Processing Letters On the serializability theorem for nested condition for conflict serializability of nested transactions, Safer Open-Nested Transactions Through Ownership nition is closely related to the database de�nition of serializability (for nested transactions) We define a serialization graph for nested transactions and we prove that its acyclicity is a sufficient and necessary condition for conflict serializability. Keywords   Safe Open-Nested Transactions one corollary of our theorem is that open-nested transactions are In classical theories on transactions and serializability, Semantic knowledge of a transaction allows non serializable .. prevents nested transactions conflicts or the starvation Theorem 1 (escrow serializable). Elastic transactions are a complementary alternative to traditional transactions This history is clearly not serializable since there is no sequential history that allows r(h)i .. Next, we state the theorem on the correctness of our implementation. The .. In contrast, abstract nested transactions cannot encapsulate sub- parts of  Nested transactional memory Model and architecture of serializability for nested transactions Nested transactional memory Model and preliminary Runtime Checking of Serializability in Software Transactional Memory serializability we review the various notions of transaction serializability.

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