A CTL Specification of Serializability for Transactions Accessing Uniform Data
Creators
Description
Existing work in temporal logic on representing the execution of infinitely many transactions, uses linear-time temporal logic (LTL) and only models two-step transactions. In this paper, we use the comparatively efficient branching-time computational tree logic CTL and extend the transaction model to a class of multistep transactions, by introducing distinguished propositional variables to represent the read and write steps of n multi-step transactions accessing m data items infinitely many times. We prove that the well known correspondence between acyclicity of conflict graphs and serializability for finite schedules, extends to infinite schedules. Furthermore, in the case of transactions accessing the same set of data items in (possibly) different orders, serializability corresponds to the absence of cycles of length two. This result is used to give an efficient encoding of the serializability condition into CTL.
Files
5156.pdf
Files
(149.2 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:2c2b3e06d93507deef333a25ef138224
|
149.2 kB | Preview Download |
Additional details
References
- R.Alshorman and W.Hussak, Multi-step transactions specification and verification in a mobile database community, in 3rd IEEE International Conference on Information Technologies: from Theory to Applications, IEEE, ICTTA 08, Damacus, Syria, IEEE Computer Society Press, 2008, pp. 1407-1412.
- A. Cimatti, E. Clarke, F. Giunchiglia, and M. Roveri, NuSMV: a new symbolic model verifier, Lecture Notes in Computer Science 1633 (1999), pp. 495-499.
- E. Clarke, O. Grumberg and D. Peled, Model checking, MIT Press, 1999.
- M.P. Fle and G. Roucairol, On serializability of iterated transactions, Proc, 1st ACM SIGACT-SIGOPS Symp. on Principles of Distributed Computing, 1982, pp. 194-200.
- W. Hussak, Serializable histories in Quantified Propositional Temporal Logic, International Journal of Computer Mathematics, vol. 81, issue 10 (2004), pp. 1203-1211.
- W. Hussak, Specifying strict serializability of iterated transactions in Propositional Temporal Logic, International Journal of Computer Science, vol. 2, issue 2 (2007), pp. 150-156 (at www.waset.org/ijcs)
- W.Hussak, The serializability problem for a temporal logic of transaction queries, Journal of Applied Non-Classical Logics, vol. 18, issue 1 (2008), pp. 67-78.
- C.H. Papadimitriou, The serializability of concurrent database updates, Journal of the ACM, vol. 26 (1979), pp. 631-653.
- C.H. Papadimitriou, The Theory of Database Concurrency Control, Computer Science Press, Pockville, Maryland, 1986. [10] D. Peled and A. Pnueli, Proving partial order properties, Theoretical Computer Science, vol. 126 (1994), pp. 143-182. [11] D.Peled, S.Katz, and A.Pnueli. Specifying and proving serializability in temporal logic in Proceedings LICS 1991, IEEE Computer Society Press, 1991, pp. 232-245.