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Satisfiability Modulo Theories — 19th International Workshop

SMT 2021

Online (initially located in Los Angeles, USA) Affiliated with CAV 2021

July 18–19, 2021

Proceedings

Edited by Alexander Nadel and Aina Niemetz

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©2021 Copyright for the individual papers by their authors. Copyright for the volume as a collection by its editors. Use permitted under Creative Commons License Attribution 4.0 International (CC BY 4.0).

CEUR Workshop Proceedings

http://ceur-ws.org

ISSN 1613-0073 CEUR Workshop Proceedings (CEUR-WS.org)

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Preface

The 19th International Workshop on Satisfiability Modulo Theories was held on July 18th and 19th in association with the 33rd International Conference on Computer Aided Verification.

The workshop had originally been scheduled to take place in Los Angeles, USA, but was held online as a virtual meeting due to the COVID-19 pandemic and its repercussions.

The SMT workshop is an annual event dedicated to Satisfiability Modulo Theories (SMT).

Determining the satisfiability of first-order formulas modulo background theories, known as the Satisfiability Modulo Theories (SMT) problem, has proved to be an enabling technology for verification, test-vector generation, compiler optimization, scheduling, and other areas.

The success of SMT techniques depends on the development of both domain-specific decision procedures for each concrete theory (e.g., linear arithmetic, the theory of arrays, or the theory of bit-vectors) and combination methods that allow one to obtain more versatile SMT tools.

These two ingredients together make SMT techniques well-suited for use in larger automated reasoning and formal verification efforts.

The workshop aims at bringing together researchers and users of SMT tools and techniques.

Relevant topics include but are not limited to:

• Decision procedures and theories of interest

• Combinations of decision procedures

• Novel implementation techniques

• Benchmarks and evaluation methodologies

• Applications and case studies

• Theoretical results

SMT 2021 featured invited talks by Guy Katz from the University of Jerusalem and Karem A. Sakallah from the University of Michigan, and the presentation of 14 peer-reviewed papers.

The workshop received 16 submissions, out of which 14 were accepted. Each submission was reviewed by three program committee members. Of the 14 accepted submissions, six are published in this volume: two as original papers, and four as extended abstracts. The remaining eight were submitted to the workshop for presentation only. For two of them, the authors agreed to include the paper abstracts in this volume.

We would like to thank the program commitee, the authors, the invited speakers and the SMT Steering Committee for their contributions to the workshop. We would further like to thank the CAV organizers for hosting the workshop, EasyChair for the availability of their conference system, and CEUR for their help to publish these proceedings.

Alexander Nadel and Aina Niemetz Co-chairs, SMT 2021

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Program Committee

Alexander Nadel, Intel

Aina Niemetz, Stanford University François Bobot, CEA

Maria Paola Bonacina, Università degli Studi di Verona

Martin Brain, University of Oxford; City, University of London Supratik Chakraborty, IIT Bombay

Rayna Dimitrova, CISPA Helmholtz Center for Information Security Bruno Dutertre, SRI international

Pascal Fontaine, Université de Liège

Stéphane Graham-Lengrand, SRI International Alberto Griggio, Fondazione Bruno Kessler Liana Hadarean, Amazon Web Services Alexander Ivrii, IBM

Martin Jonas, Fondazione Bruno Kessler Andrew V. Jones, Vector Informatik Tim King, Google

Gereon Kremer, Stanford University Mathias Preiner, Stanford University Giles Reger, University of Manchester Andrew Reynolds, University of Iowa Tanja Schindler, University of Freiburg Cesare Tinelli, University of Iowa

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Contents

Invited Talks

Using SMT and Abstraction-Refinement for Neural Network Verification . . . 1 Guy Katz

AVR: Word-Level Verification by Equality Abstraction of Data State . . . 2 Karem A. Sakallah

Extended Abstracts

Proof Tree Preserving Sequence Interpolation of Quantified Formulas in the Theory of Equality . . . 3 Elisabeth Henkel, Jochen Hoenicke and Tanja Schindler

First-Order Instantiation using Discriminating Terms . . . 17 Chad Brown and Mikoláš Janota

Further Steps Down The Wrong Path: Improving the Bit-Blasting of Multiplication 23 Martin Brain

Dolmen: A Validator for SMT-LIB and Much More . . . 32 Guillaume Bury

Regular Papers

AXDInterpolator: a Tool for Computing Interpolants for Arrays with MaxDiff . . . 40 Jose Abel Castellanos Joo, Silvio Ghilardi, Alessandro Gianola and Deepak Kapur Characteristic Subsets of SMT-LIB Benchmarks . . . 53

Jan Jakubův, Mikoláš Janota and Andrew Reynolds

Presentation-Only Papers (Abstracts)

Reliable Reconstruction of Fine-Grained Proofs in a Proof Assistant . . . 64 Hans-Jörg Schurr, Mathias Fleury and Martin Desharnais

The Extended Theory of Trees and Algebraic (Co)datatypes . . . 65 Fabian Zaiser and Luke Ong

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