Decidable Synthesis of Programs with Uninterpreted Functions

Paul Krogmeier; Umang Mathur; Adithya Murali; P. Madhusudan; Mahesh Viswanathan

doi:10.1007/978-3-030-53291-8_32

Decidable Synthesis of Programs with Uninterpreted Functions

Paul Krogmeier, Umang Mathur, Adithya Murali, P. Madhusudan, Mahesh Viswanathan

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

Abstract

We identify a decidable synthesis problem for a class of programs of unbounded size with conditionals and iteration that work over infinite data domains. The programs in our class use uninterpreted functions and relations, and abide by a restriction called coherence that was recently identified to yield decidable verification. We formulate a powerful grammar-restricted (syntax-guided) synthesis problem for coherent uninterpreted programs, and we show the problem to be decidable, identify its precise complexity, and also study several variants of the problem.

Original language	English (US)
Title of host publication	Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings
Editors	Shuvendu K. Lahiri, Chao Wang
Publisher	Springer
Pages	634-657
Number of pages	24
ISBN (Print)	9783030532901
DOIs	https://doi.org/10.1007/978-3-030-53291-8_32
State	Published - 2020
Event	32nd International Conference on Computer Aided Verification, CAV 2020 - Los Angeles, United States Duration: Jul 21 2020 → Jul 24 2020

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	12225 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	32nd International Conference on Computer Aided Verification, CAV 2020
Country	United States
City	Los Angeles
Period	7/21/20 → 7/24/20

ASJC Scopus subject areas

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-030-53291-8_32

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Krogmeier, P., Mathur, U., Murali, A., Madhusudan, P., & Viswanathan, M. (2020). Decidable Synthesis of Programs with Uninterpreted Functions. In S. K. Lahiri, & C. Wang (Eds.), Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings (pp. 634-657). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12225 LNCS). Springer. https://doi.org/10.1007/978-3-030-53291-8_32

Decidable Synthesis of Programs with Uninterpreted Functions. / Krogmeier, Paul; Mathur, Umang; Murali, Adithya; Madhusudan, P.; Viswanathan, Mahesh.

Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings. ed. / Shuvendu K. Lahiri; Chao Wang. Springer, 2020. p. 634-657 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12225 LNCS).

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

Krogmeier, P, Mathur, U, Murali, A, Madhusudan, P & Viswanathan, M 2020, Decidable Synthesis of Programs with Uninterpreted Functions. in SK Lahiri & C Wang (eds), Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 12225 LNCS, Springer, pp. 634-657, 32nd International Conference on Computer Aided Verification, CAV 2020, Los Angeles, United States, 7/21/20. https://doi.org/10.1007/978-3-030-53291-8_32

Krogmeier P, Mathur U, Murali A, Madhusudan P , Viswanathan M. Decidable Synthesis of Programs with Uninterpreted Functions. In Lahiri SK, Wang C, editors, Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings. Springer. 2020. p. 634-657. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-030-53291-8_32

Krogmeier, Paul ; Mathur, Umang ; Murali, Adithya ; Madhusudan, P. ; Viswanathan, Mahesh. / Decidable Synthesis of Programs with Uninterpreted Functions. Computer Aided Verification - 32nd International Conference, CAV 2020, Proceedings. editor / Shuvendu K. Lahiri ; Chao Wang. Springer, 2020. pp. 634-657 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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author = "Paul Krogmeier and Umang Mathur and Adithya Murali and P. Madhusudan and Mahesh Viswanathan",

note = "Funding Information: Paul Krogmeier and Mahesh Viswanathan are partially supported by NSF CCF 1901069. Umang Mathur is partially supported by a Google PhD Fellowship.; 32nd International Conference on Computer Aided Verification, CAV 2020 ; Conference date: 21-07-2020 Through 24-07-2020",

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AB - We identify a decidable synthesis problem for a class of programs of unbounded size with conditionals and iteration that work over infinite data domains. The programs in our class use uninterpreted functions and relations, and abide by a restriction called coherence that was recently identified to yield decidable verification. We formulate a powerful grammar-restricted (syntax-guided) synthesis problem for coherent uninterpreted programs, and we show the problem to be decidable, identify its precise complexity, and also study several variants of the problem.

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Decidable Synthesis of Programs with Uninterpreted Functions

Abstract

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