Abstract
We demonstrate shape analyses that can achieve a state space reduction exponential in the number of threads compared to the state-of-the-art analyses, while retaining sufficient precision to verify sophisticated properties such as linearizability. The key idea is to abstract the global heap by decomposing it into (not necessarily disjoint) subheaps, abstracting away some correlations between them. These new shape analyses are instances of an analysis framework based on heap decomposition. This framework allows rapid prototyping of complex static analyses by providing efficient abstract transformers given user-specified decomposition schemes. Initial experiments confirm the value of heap decomposition in scaling concurrent shape analyses.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Amit, D., Rinetzky, N., Reps, T., Sagiv, M., Yahav, E.: Comparison under abstraction for verifying linearizability. In: Damm, W., Hermanns, H. (eds.) CAV 2007. LNCS, vol. 4590, pp. 477–490. Springer, Heidelberg (2007)
Colvin, R., Doherty, S., Groves, L.: Verifying concurrent data structures by simulation. Electr. Notes Theor. Comput. Sci. 137(2), 93–110 (2005)
Doherty, S., Detlefs, D.L., Groves, L., Flood, C.H., Luchangco, V., Martin, P.A., Moir, M., Shavit, N., Steele Jr., G.L.: DCAS is not a silver bullet for nonblocking algorithm design. In: SPAA, pp. 216–224 (2004)
Doherty, S., Groves, L., Luchangco, V., Moir, M.: Formal verification of a practical lock-free queue algorithm. In: Núñez, M., Maamar, Z., Pelayo, F.L., Pousttchi, K., Rubio, F. (eds.) FORTE 2004. LNCS, vol. 3236, pp. 97–114. Springer, Heidelberg (2004)
Gotsman, A., Berdine, J., Cook, B., Sagiv, M.: Thread-modular shape analysis. In: PLDI, pp. 266–277 (2007)
Hackett, B., Rugina, R.: Region-based shape analysis with tracked locations. In: POPL, pp. 310–323 (2005)
Herlihy, M.P., Wing, J.M.: Linearizability: a correctness condition for concurrent objects. TOPLAS 12(3), 463–492 (1990)
Lev-Ami, T., Sagiv, M.: TVLA: A framework for implementing static analyses. In: Palsberg, J. (ed.) SAS 2000. LNCS, vol. 1824, pp. 280–301. Springer, Heidelberg (2000)
Manevich, R., Berdine, J., Cook, B., Ramalingam, G., Sagiv, M.: Shape analysis by graph decomposition. In: TACAS, pp. 3–18 (2007)
Manevich, R., Lev-Ami, T., Sagiv, M., Ramalingam, G., Berdine, J.: Heap decomposition for concurrent shape analysis. Technical Report TR-2008-01-85453, Tel Aviv University (January 2008), http://www.cs.tau.ac.il/rumster/TR-2007-11-85453.pdf
Manevich, R., Sagiv, M., Ramalingam, G., Field, J.: Partially disjunctive heap abstraction. In: Giacobazzi, R. (ed.) SAS 2004. LNCS, vol. 3148, pp. 265–279. Springer, Heidelberg (2004)
Michael, M.M., Scott, M.L.: Simple, fast, and practical non-blocking and blocking concurrent queue algorithms. In: PODC, pp. 267–275 (1996)
Nielson, F., Nielson, H.R., Hankin, C.: Principles of Program Analysis. Springer, Heidelberg (1999)
Sagiv, M., Reps, T., Wilhelm, R.: Parametric shape analysis via 3-valued logic. ACM Transactions on Programming Languages and Systems 24(3), 217–298 (2002)
Treiber, R.K.: Systems programming: Coping with parallelism. Technical Report RJ 5118, IBM Almaden Research Center (April 1986)
Vafeiadis, V.: Shape-value abstraction for verifying linearizability. draft (2008)
Vafeiadis, V., Herlihy, M., Hoare, T., Shapiro, M.: Proving correctness of highly-concurrent linearisable objects. In: PPOPP, pp. 129–136 (2006)
Yahav, E.: Verifying safety properties of concurrent Java programs using 3-valued logic. ACM SIGPLAN Notices 36(3), 27–40 (2001)
Yahav, E., Ramalingam, G.: Verifying safety properties using separation and heterogeneous abstractions. In: PLDI, pp. 25–34 (2004)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Manevich, R., Lev-Ami, T., Sagiv, M., Ramalingam, G., Berdine, J. (2008). Heap Decomposition for Concurrent Shape Analysis. In: Alpuente, M., Vidal, G. (eds) Static Analysis. SAS 2008. Lecture Notes in Computer Science, vol 5079. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69166-2_24
Download citation
DOI: https://doi.org/10.1007/978-3-540-69166-2_24
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-69163-1
Online ISBN: 978-3-540-69166-2
eBook Packages: Computer ScienceComputer Science (R0)