Bit-Precise Reasoning via Int-Blasting

Yoni Zohar; Ahmed Irfan; Makai Mann; Aina Niemetz; Andres Nötzli; Mathias Preiner; Andrew Reynolds; Clark Barrett; Cesare Tinelli

doi:10.1007/978-3-030-94583-1_24

Bit-Precise Reasoning via Int-Blasting

Yoni Zohar, Ahmed Irfan, Makai Mann, Aina Niemetz, Andres Nötzli, Mathias Preiner, Andrew Reynolds, Clark Barrett, Cesare Tinelli

Department of Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

The state of the art for bit-precise reasoning in the context of Satisfiability Modulo Theories (SMT) is a SAT-based technique called bit-blasting where the input formula is first simplified and then translated to an equisatisfiable propositional formula. The main limitation of this technique is scalability, especially in the presence of large bit-widths and arithmetic operators. We introduce an alternative technique, which we call int-blasting, based on a translation to an extension of integer arithmetic rather than propositional logic. We present several translations, discuss their differences, and evaluate them on benchmarks that arise from the verification of rewrite rule candidates for bit-vector solving, as well as benchmarks from SMT-LIB. We also provide preliminary results on 35 benchmarks that arise from smart contract verification. The evaluation shows that this technique is particularly useful for benchmarks with large bit-widths and can solve benchmarks that the state of the art cannot.

Original language	English
Title of host publication	Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings
Editors	Bernd Finkbeiner, Thomas Wies
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	496-518
Number of pages	23
ISBN (Print)	9783030945824
DOIs	https://doi.org/10.1007/978-3-030-94583-1_24
State	Published - 2022
Event	23rd International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2022 - Philadelphia, United States Duration: 16 Jan 2022 → 18 Jan 2022

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	13182 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	23rd International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2022
Country/Territory	United States
City	Philadelphia
Period	16/01/22 → 18/01/22

Bibliographical note

Publisher Copyright:
© 2022, Springer Nature Switzerland AG.

Funding

This work was supported in part by DARPA (awards N66001-18-C-4012, FA8650-18-2-7854 and FA8650-18-2-7861), ONR (award N68335-17-C-0558), the Stanford Center for Blockchain Research, Certora Inc., and by an NSF Graduate Fellowship (to Makai Mann). A. Irfan—This author’s contributions were made while he was a postdoc at Stanford University.

Funders	Funder number
Certora Inc.
Stanford Center for Blockchain Research
National Science Foundation
Office of Naval Research	N68335-17-C-0558
Defense Advanced Research Projects Agency	FA8650-18-2-7854, FA8650-18-2-7861, N66001-18-C-4012

Access to Document

10.1007/978-3-030-94583-1_24

Cite this

Zohar, Y., Irfan, A., Mann, M., Niemetz, A., Nötzli, A., Preiner, M., Reynolds, A., Barrett, C., & Tinelli, C. (2022). Bit-Precise Reasoning via Int-Blasting. In B. Finkbeiner, & T. Wies (Eds.), Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings (pp. 496-518). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13182 LNCS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-94583-1_24

Zohar, Yoni ; Irfan, Ahmed ; Mann, Makai et al. / Bit-Precise Reasoning via Int-Blasting. Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings. editor / Bernd Finkbeiner ; Thomas Wies. Springer Science and Business Media Deutschland GmbH, 2022. pp. 496-518 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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Zohar, Y, Irfan, A, Mann, M, Niemetz, A, Nötzli, A, Preiner, M, Reynolds, A, Barrett, C & Tinelli, C 2022, Bit-Precise Reasoning via Int-Blasting. in B Finkbeiner & T Wies (eds), Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 13182 LNCS, Springer Science and Business Media Deutschland GmbH, pp. 496-518, 23rd International Conference on Verification, Model Checking, and Abstract Interpretation, VMCAI 2022, Philadelphia, United States, 16/01/22. https://doi.org/10.1007/978-3-030-94583-1_24

Bit-Precise Reasoning via Int-Blasting. / Zohar, Yoni; Irfan, Ahmed; Mann, Makai et al.
Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings. ed. / Bernd Finkbeiner; Thomas Wies. Springer Science and Business Media Deutschland GmbH, 2022. p. 496-518 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 13182 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Zohar Y, Irfan A, Mann M, Niemetz A, Nötzli A, Preiner M et al. Bit-Precise Reasoning via Int-Blasting. In Finkbeiner B, Wies T, editors, Verification, Model Checking, and Abstract Interpretation - 23rd International Conference, VMCAI 2022, Proceedings. Springer Science and Business Media Deutschland GmbH. 2022. p. 496-518. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-030-94583-1_24

Bit-Precise Reasoning via Int-Blasting

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