Model counting for recursively-defined strings

M. Trinh, D.H. Chu, J. Jaffar, in:, R. Majumdar, V. Kunčak (Eds.), Springer, 2017, pp. 399–418.

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Conference Paper | Published | English

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Trinh, Minh; Chu, Duc HiepIST Austria; Jaffar, Joxan
Majumdar, Rupak; Kunčak, Viktor
Series Title
We present a new algorithm for model counting of a class of string constraints. In addition to the classic operation of concatenation, our class includes some recursively defined operations such as Kleene closure, and replacement of substrings. Additionally, our class also includes length constraints on the string expressions, which means, by requiring reasoning about numbers, that we face a multi-sorted logic. In the end, our string constraints are motivated by their use in programming for web applications. Our algorithm comprises two novel features: the ability to use a technique of (1) partial derivatives for constraints that are already in a solved form, i.e. a form where its (string) satisfiability is clearly displayed, and (2) non-progression, where cyclic reasoning in the reduction process may be terminated (thus allowing for the algorithm to look elsewhere). Finally, we experimentally compare our model counter with two recent works on model counting of similar constraints, SMC [18] and ABC [5], to demonstrate its superior performance.
Publishing Year
Date Published
399 - 418
CAV: Computer Aided Verification
Conference Location
Heidelberg, Germany
Conference Date
2017-07-24 – 2017-07-28

Cite this

Trinh M, Chu DH, Jaffar J. Model counting for recursively-defined strings. In: Majumdar R, Kunčak V, eds. Vol 10427. Springer; 2017:399-418. doi:10.1007/978-3-319-63390-9_21
Trinh, M., Chu, D. H., & Jaffar, J. (2017). Model counting for recursively-defined strings. In R. Majumdar & V. Kunčak (Eds.) (Vol. 10427, pp. 399–418). Presented at the CAV: Computer Aided Verification, Heidelberg, Germany: Springer.
Trinh, Minh, Duc Hiep Chu, and Joxan Jaffar. “Model Counting for Recursively-Defined Strings.” edited by Rupak Majumdar and Viktor Kunčak, 10427:399–418. Springer, 2017.
M. Trinh, D. H. Chu, and J. Jaffar, “Model counting for recursively-defined strings,” presented at the CAV: Computer Aided Verification, Heidelberg, Germany, 2017, vol. 10427, pp. 399–418.
Trinh M, Chu DH, Jaffar J. 2017. Model counting for recursively-defined strings. CAV: Computer Aided Verification, LNCS, vol. 10427, 399–418.
Trinh, Minh, et al. Model Counting for Recursively-Defined Strings. Edited by Rupak Majumdar and Viktor Kunčak, vol. 10427, Springer, 2017, pp. 399–418, doi:10.1007/978-3-319-63390-9_21.


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