---
OA_place: publisher
OA_type: hybrid
_id: '22006'
abstract:
- lang: eng
  text: Runtime monitoring checks, during execution, whether a partial signal produced
    by a hybrid system satisfies its specification. Signal First-Order Logic (SFO)
    offers expressive real-time specifications over such signals, but currently comes
    only with Boolean semantics and has no tool support. We provide the first robustness-based
    quantitative semantics for SFO, enabling the expression and evaluation of rich
    real-time properties beyond the scope of existing formalisms such as Signal Temporal
    Logic. To enable online monitoring, we identify a past-time fragment of SFO and
    give a pastification procedure that transforms bounded-response SFO formulas into
    equisatisfiable formulas in this fragment. We then develop an efficient runtime
    monitoring algorithm for this past-time fragment and evaluate its performance
    on a set of benchmarks, demonstrating the practicality and effectiveness of our
    approach. To the best of our knowledge, this is the first publicly available prototype
    for online quantitative monitoring of full SFO.
acknowledgement: We thank the anonymous reviewers for their helpful comments. This
  work was supported by the European Research Council (ERC) Grants VAMOS (No. 101020093)
  and HYPER (No. 101055412), and by the Advanced Research and Invention Agency under
  the Safeguarded AI programme (MSAI-PR01-P047).
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Marek
  full_name: Chalupa, Marek
  id: 87e34708-d6c6-11ec-9f5b-9391e7be2463
  last_name: Chalupa
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Naci E
  full_name: Sarac, Naci E
  id: 8C6B42F8-C8E6-11E9-A03A-F2DCE5697425
  last_name: Sarac
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
citation:
  ama: 'Chalupa M, Henzinger TA, Sarac NE, Yu E. Quantitative monitoring of Signal
    First-Order logic. In: <i>27th International Symposium on Formal Methods</i>.
    Vol 16557. Springer Nature; 2026:214-233. doi:<a href="https://doi.org/10.1007/978-3-032-26220-2_11">10.1007/978-3-032-26220-2_11</a>'
  apa: 'Chalupa, M., Henzinger, T. A., Sarac, N. E., &#38; Yu, E. (2026). Quantitative
    monitoring of Signal First-Order logic. In <i>27th International Symposium on
    Formal Methods</i> (Vol. 16557, pp. 214–233). Tokyo, Japan: Springer Nature. <a
    href="https://doi.org/10.1007/978-3-032-26220-2_11">https://doi.org/10.1007/978-3-032-26220-2_11</a>'
  chicago: Chalupa, Marek, Thomas A Henzinger, Naci E Sarac, and Emily Yu. “Quantitative
    Monitoring of Signal First-Order Logic.” In <i>27th International Symposium on
    Formal Methods</i>, 16557:214–33. Springer Nature, 2026. <a href="https://doi.org/10.1007/978-3-032-26220-2_11">https://doi.org/10.1007/978-3-032-26220-2_11</a>.
  ieee: M. Chalupa, T. A. Henzinger, N. E. Sarac, and E. Yu, “Quantitative monitoring
    of Signal First-Order logic,” in <i>27th International Symposium on Formal Methods</i>,
    Tokyo, Japan, 2026, vol. 16557, pp. 214–233.
  ista: 'Chalupa M, Henzinger TA, Sarac NE, Yu E. 2026. Quantitative monitoring of Signal
    First-Order logic. 27th International Symposium on Formal Methods. FM: Formal
    Methods, LNCS, vol. 16557, 214–233.'
  mla: Chalupa, Marek, et al. “Quantitative Monitoring of Signal First-Order Logic.”
    <i>27th International Symposium on Formal Methods</i>, vol. 16557, Springer Nature,
    2026, pp. 214–33, doi:<a href="https://doi.org/10.1007/978-3-032-26220-2_11">10.1007/978-3-032-26220-2_11</a>.
  short: M. Chalupa, T.A. Henzinger, N.E. Sarac, E. Yu, in:, 27th International Symposium
    on Formal Methods, Springer Nature, 2026, pp. 214–233.
conference:
  end_date: 2026-05-22
  location: Tokyo, Japan
  name: 'FM: Formal Methods'
  start_date: 2026-05-18
das_tickbox: '0'
date_created: 2026-06-14T22:01:44Z
date_published: 2026-05-18T00:00:00Z
date_updated: 2026-06-22T08:21:09Z
day: '18'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-032-26220-2_11
ec_funded: 1
external_id:
  arxiv:
  - '2603.00728'
file:
- access_level: open_access
  checksum: 7055199ecb985e9e2e272f4988827067
  content_type: application/pdf
  creator: dernst
  date_created: 2026-06-22T08:18:41Z
  date_updated: 2026-06-22T08:18:41Z
  file_id: '22113'
  file_name: 2026_LNCS_Chalupa.pdf
  file_size: 849237
  relation: main_file
  success: 1
file_date_updated: 2026-06-22T08:18:41Z
has_accepted_license: '1'
intvolume: '     16557'
keyword:
- Signal first-order logic
- Robustness-based quantitative semantics
- Online runtime monitoring
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: 214-233
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 27th International Symposium on Formal Methods
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783032262196'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative monitoring of Signal First-Order logic
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16557
year: '2026'
...
---
OA_place: repository
OA_type: green
_id: '21091'
abstract:
- lang: eng
  text: Neural certificates have emerged as a powerful tool in cyber-physical systems
    control, providing witnesses of correctness. These certificates, such as barrier
    functions, often learned alongside control policies, once verified, serve as mathematical
    proofs of system safety. However, traditional formal verification of their defining
    conditions typically faces scalability challenges due to exhaustive state-space
    exploration. To address this challenge, we propose a lightweight runtime monitoring
    framework that integrates real-time verification and does not require access to
    the underlying control policy. Our monitor observes the system during deployment
    and performs on-the-fly verification of the certificate over a lookahead region
    to ensure safety within a finite prediction horizon. We instantiate this framework
    for ReLU-based control barrier functions and demonstrate its practical effectiveness
    in a case study. Our approach enables timely detection of safety violations and
    incorrect certificates with minimal overhead, providing an effective but lightweight
    alternative to the static verification of the certificates.
acknowledgement: 'This work is supported by the European Research Council under Grant
  No.: ERC-2020-AdG 101020093.'
alternative_title:
- LNCS
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Konstantin
  full_name: Kueffner, Konstantin
  id: 8121a2d0-dc85-11ea-9058-af578f3b4515
  last_name: Kueffner
  orcid: 0000-0001-8974-2542
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
citation:
  ama: 'Henzinger TA, Kueffner K, Yu E. Formal verification of neural certificates
    done dynamically. In: <i>25th International Conference on Runtime Verification</i>.
    Vol 16087. Springer Nature; 2025:54-72. doi:<a href="https://doi.org/10.1007/978-3-032-05435-7_4">10.1007/978-3-032-05435-7_4</a>'
  apa: 'Henzinger, T. A., Kueffner, K., &#38; Yu, E. (2025). Formal verification of
    neural certificates done dynamically. In <i>25th International Conference on Runtime
    Verification</i> (Vol. 16087, pp. 54–72). Graz, Austria: Springer Nature. <a href="https://doi.org/10.1007/978-3-032-05435-7_4">https://doi.org/10.1007/978-3-032-05435-7_4</a>'
  chicago: Henzinger, Thomas A, Konstantin Kueffner, and Emily Yu. “Formal Verification
    of Neural Certificates Done Dynamically.” In <i>25th International Conference
    on Runtime Verification</i>, 16087:54–72. Springer Nature, 2025. <a href="https://doi.org/10.1007/978-3-032-05435-7_4">https://doi.org/10.1007/978-3-032-05435-7_4</a>.
  ieee: T. A. Henzinger, K. Kueffner, and E. Yu, “Formal verification of neural certificates
    done dynamically,” in <i>25th International Conference on Runtime Verification</i>,
    Graz, Austria, 2025, vol. 16087, pp. 54–72.
  ista: 'Henzinger TA, Kueffner K, Yu E. 2025. Formal verification of neural certificates
    done dynamically. 25th International Conference on Runtime Verification. RV: Runtime
    Verification, LNCS, vol. 16087, 54–72.'
  mla: Henzinger, Thomas A., et al. “Formal Verification of Neural Certificates Done
    Dynamically.” <i>25th International Conference on Runtime Verification</i>, vol.
    16087, Springer Nature, 2025, pp. 54–72, doi:<a href="https://doi.org/10.1007/978-3-032-05435-7_4">10.1007/978-3-032-05435-7_4</a>.
  short: T.A. Henzinger, K. Kueffner, E. Yu, in:, 25th International Conference on
    Runtime Verification, Springer Nature, 2025, pp. 54–72.
conference:
  end_date: 2025-09-19
  location: Graz, Austria
  name: 'RV: Runtime Verification'
  start_date: 2025-09-15
corr_author: '1'
date_created: 2026-01-29T16:03:01Z
date_published: 2025-09-13T00:00:00Z
date_updated: 2026-02-16T11:53:25Z
day: '13'
department:
- _id: ToHe
doi: 10.1007/978-3-032-05435-7_4
ec_funded: 1
external_id:
  arxiv:
  - '2507.11987'
intvolume: '     16087'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2507.11987
month: '09'
oa: 1
oa_version: Preprint
page: 54-72
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 25th International Conference on Runtime Verification
publication_identifier:
  eisbn:
  - '9783032054357'
  eissn:
  - 1611-3349
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Formal verification of neural certificates done dynamically
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16087
year: '2025'
...
---
OA_place: repository
OA_type: green
_id: '19668'
abstract:
- lang: eng
  text: Learning-based methods provide a promising approach to solving highly non-linear
    control tasks that are often challenging for classical control methods. To ensure
    the satisfaction of a safety property, learning-based methods jointly learn a
    control policy together with a certificate function for the property. Popular
    examples include barrier functions for safety and Lyapunov functions for asymptotic
    stability. While there has been significant progress on learning-based control
    with certificate functions in the white-box setting, where the correctness of
    the certificate function can be formally verified, there has been little work
    on ensuring their reliability in the black-box setting where the system dynamics
    are unknown. In this work, we consider the problems of certifying and repairing
    neural network control policies and certificate functions in the black-box setting.
    We propose a novel framework that utilizes runtime monitoring to detect system
    behaviors that violate the property of interest under some initially trained neural
    network policy and certificate. These violating behaviors are used to extract
    new training data, that is used to re-train the neural network policy and the
    certificate function and to ultimately repair them. We demonstrate the effectiveness
    of our approach empirically by using it to repair and to boost the safety rate
    of neural network policies learned by a state-of-the-art method for learning-based
    control on two autonomous system control tasks.
acknowledgement: This work was supported in part by the ERC project ERC2020-AdG 101020093
article_processing_charge: No
arxiv: 1
author:
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
citation:
  ama: 'Yu E, Zikelic D, Henzinger TA. Neural control and certificate repair via runtime
    monitoring. In: <i>Proceedings of the 39th AAAI Conference on Artificial Intelligence</i>.
    Vol 39. Association for the Advancement of Artificial Intelligence; 2025:26409-26417.
    doi:<a href="https://doi.org/10.1609/aaai.v39i25.34840">10.1609/aaai.v39i25.34840</a>'
  apa: 'Yu, E., Zikelic, D., &#38; Henzinger, T. A. (2025). Neural control and certificate
    repair via runtime monitoring. In <i>Proceedings of the 39th AAAI Conference on
    Artificial Intelligence</i> (Vol. 39, pp. 26409–26417). Philadelphia, PA, United
    States: Association for the Advancement of Artificial Intelligence. <a href="https://doi.org/10.1609/aaai.v39i25.34840">https://doi.org/10.1609/aaai.v39i25.34840</a>'
  chicago: Yu, Emily, Dorde Zikelic, and Thomas A Henzinger. “Neural Control and Certificate
    Repair via Runtime Monitoring.” In <i>Proceedings of the 39th AAAI Conference
    on Artificial Intelligence</i>, 39:26409–17. Association for the Advancement of
    Artificial Intelligence, 2025. <a href="https://doi.org/10.1609/aaai.v39i25.34840">https://doi.org/10.1609/aaai.v39i25.34840</a>.
  ieee: E. Yu, D. Zikelic, and T. A. Henzinger, “Neural control and certificate repair
    via runtime monitoring,” in <i>Proceedings of the 39th AAAI Conference on Artificial
    Intelligence</i>, Philadelphia, PA, United States, 2025, vol. 39, no. 25, pp.
    26409–26417.
  ista: 'Yu E, Zikelic D, Henzinger TA. 2025. Neural control and certificate repair
    via runtime monitoring. Proceedings of the 39th AAAI Conference on Artificial
    Intelligence. AAAI: Conference on Artificial Intelligence vol. 39, 26409–26417.'
  mla: Yu, Emily, et al. “Neural Control and Certificate Repair via Runtime Monitoring.”
    <i>Proceedings of the 39th AAAI Conference on Artificial Intelligence</i>, vol.
    39, no. 25, Association for the Advancement of Artificial Intelligence, 2025,
    pp. 26409–17, doi:<a href="https://doi.org/10.1609/aaai.v39i25.34840">10.1609/aaai.v39i25.34840</a>.
  short: E. Yu, D. Zikelic, T.A. Henzinger, in:, Proceedings of the 39th AAAI Conference
    on Artificial Intelligence, Association for the Advancement of Artificial Intelligence,
    2025, pp. 26409–26417.
conference:
  end_date: 2025-03-04
  location: Philadelphia, PA, United States
  name: 'AAAI: Conference on Artificial Intelligence'
  start_date: 2025-02-25
corr_author: '1'
date_created: 2025-05-11T22:02:40Z
date_published: 2025-04-11T00:00:00Z
date_updated: 2025-05-12T09:49:25Z
day: '11'
department:
- _id: ToHe
doi: 10.1609/aaai.v39i25.34840
ec_funded: 1
external_id:
  arxiv:
  - '2412.12996'
intvolume: '        39'
issue: '25'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2412.12996
month: '04'
oa: 1
oa_version: Preprint
page: 26409-26417
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: Proceedings of the 39th AAAI Conference on Artificial Intelligence
publication_identifier:
  eissn:
  - 2374-3468
  issn:
  - 2159-5399
publication_status: published
publisher: Association for the Advancement of Artificial Intelligence
quality_controlled: '1'
scopus_import: '1'
status: public
title: Neural control and certificate repair via runtime monitoring
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 39
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '20189'
abstract:
- lang: eng
  text: Certification was made mandatory for the first time in the latest hardware
    model checking competition. In this case study, we investigate the trade-offs
    of requiring certificates for both passing and failing properties in the competition.
    Our evaluation shows that participating model checkers were able to produce compact,
    correct certificates that could be verified with minimal overhead. Furthermore,
    the certifying winner of the competition outperforms the previous non-certifying
    state-of-the-art model checker, demonstrating that certification can be adopted
    without compromising model checking efficiency.
acknowledgement: "This work is supported in part by the ERC-2020-AdG 101020093, the
  LIT AI Lab funded by the State of Upper Austria, the Research Council of Finland
  under the project 336092, and a gift from Intel Corporation.\r\nFurthermore we of
  course also owe a big thank-you to the submitters of model checkers and benchmarks
  to the competition over all these years. Without their enthusiasm and support neither
  the competition nor this study would exist."
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
author:
- first_name: Nils
  full_name: Froleyks, Nils
  last_name: Froleyks
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
- first_name: Mathias
  full_name: Preiner, Mathias
  last_name: Preiner
- first_name: Armin
  full_name: Biere, Armin
  last_name: Biere
- first_name: Keijo
  full_name: Heljanko, Keijo
  last_name: Heljanko
citation:
  ama: 'Froleyks N, Yu E, Preiner M, Biere A, Heljanko K. Introducing certificates
    to the hardware model checking competition. In: <i>37th International Conference
    on Computer Aided Verification</i>. Vol 15931. Springer Nature; 2025:281-295.
    doi:<a href="https://doi.org/10.1007/978-3-031-98668-0_14">10.1007/978-3-031-98668-0_14</a>'
  apa: 'Froleyks, N., Yu, E., Preiner, M., Biere, A., &#38; Heljanko, K. (2025). Introducing
    certificates to the hardware model checking competition. In <i>37th International
    Conference on Computer Aided Verification</i> (Vol. 15931, pp. 281–295). Zagreb,
    Croatia: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-98668-0_14">https://doi.org/10.1007/978-3-031-98668-0_14</a>'
  chicago: Froleyks, Nils, Emily Yu, Mathias Preiner, Armin Biere, and Keijo Heljanko.
    “Introducing Certificates to the Hardware Model Checking Competition.” In <i>37th
    International Conference on Computer Aided Verification</i>, 15931:281–95. Springer
    Nature, 2025. <a href="https://doi.org/10.1007/978-3-031-98668-0_14">https://doi.org/10.1007/978-3-031-98668-0_14</a>.
  ieee: N. Froleyks, E. Yu, M. Preiner, A. Biere, and K. Heljanko, “Introducing certificates
    to the hardware model checking competition,” in <i>37th International Conference
    on Computer Aided Verification</i>, Zagreb, Croatia, 2025, vol. 15931, pp. 281–295.
  ista: 'Froleyks N, Yu E, Preiner M, Biere A, Heljanko K. 2025. Introducing certificates
    to the hardware model checking competition. 37th International Conference on Computer
    Aided Verification. CAV: Computer Aided Verification, LNCS, vol. 15931, 281–295.'
  mla: Froleyks, Nils, et al. “Introducing Certificates to the Hardware Model Checking
    Competition.” <i>37th International Conference on Computer Aided Verification</i>,
    vol. 15931, Springer Nature, 2025, pp. 281–95, doi:<a href="https://doi.org/10.1007/978-3-031-98668-0_14">10.1007/978-3-031-98668-0_14</a>.
  short: N. Froleyks, E. Yu, M. Preiner, A. Biere, K. Heljanko, in:, 37th International
    Conference on Computer Aided Verification, Springer Nature, 2025, pp. 281–295.
conference:
  end_date: 2025-07-25
  location: Zagreb, Croatia
  name: 'CAV: Computer Aided Verification'
  start_date: 2025-07-23
date_created: 2025-08-17T22:01:36Z
date_published: 2025-01-01T00:00:00Z
date_updated: 2025-12-01T12:34:05Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-031-98668-0_14
ec_funded: 1
external_id:
  isi:
  - '001562507100014'
file:
- access_level: open_access
  checksum: 15ec1bc9b9409d3b2736f4c9d5f42fd1
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-02T05:46:10Z
  date_updated: 2025-09-02T05:46:10Z
  file_id: '20266'
  file_name: 2025_CAV_Froleyks.pdf
  file_size: 1078274
  relation: main_file
  success: 1
file_date_updated: 2025-09-02T05:46:10Z
has_accepted_license: '1'
intvolume: '     15931'
isi: 1
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 281-295
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 37th International Conference on Computer Aided Verification
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031986673'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Introducing certificates to the hardware model checking competition
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15931
year: '2025'
...
---
OA_place: publisher
OA_type: gold
_id: '20256'
abstract:
- lang: eng
  text: We study the problem of predictive runtime monitoring of black-box dynamical
    systems with quantitative safety properties. The black-box setting stipulates
    that the exact semantics of the dynamical system and the controller are unknown,
    and that we are only able to observe the state of the controlled (aka, closed-loop)
    system at finitely many time points. We present a novel framework for predicting
    future states of the system based on the states observed in the past. The numbers
    of past states and of predicted future states are parameters provided by the user.
    Our method is based on a combination of Taylor’s expansion and the backward difference
    operator for numerical differentiation. We also derive an upper bound on the prediction
    error under the assumption that the system dynamics and the controller are smooth.
    The predicted states are then used to predict safety violations ahead in time.
    Our experiments demonstrate practical applicability of our method for complex
    black-box systems, showing that it is computationally lightweight and yet significantly
    more accurate than the state-of-the-art predictive safety monitoring techniques.
acknowledgement: "This work was supported in part by the ERC project ERC-2020-AdG
  101020093.\r\n"
alternative_title:
- PMLR
article_processing_charge: No
arxiv: 1
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Fabian
  full_name: Kresse, Fabian
  id: faff3c84-23f6-11ef-9085-e5187b51c604
  last_name: Kresse
- first_name: Kaushik
  full_name: Mallik, Kaushik
  id: 0834ff3c-6d72-11ec-94e0-b5b0a4fb8598
  last_name: Mallik
  orcid: 0000-0001-9864-7475
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Henzinger TA, Kresse F, Mallik K, Yu E, Zikelic D. Predictive monitoring of
    black-box dynamical systems. In: <i>7th Annual Learning for Dynamics &#38; Control
    Conference</i>. Vol 283. ML Research Press; 2025:804-816.'
  apa: 'Henzinger, T. A., Kresse, F., Mallik, K., Yu, E., &#38; Zikelic, D. (2025).
    Predictive monitoring of black-box dynamical systems. In <i>7th Annual Learning
    for Dynamics &#38; Control Conference</i> (Vol. 283, pp. 804–816). Ann Arbor,
    MI, United States: ML Research Press.'
  chicago: Henzinger, Thomas A, Fabian Kresse, Kaushik Mallik, Emily Yu, and Dorde
    Zikelic. “Predictive Monitoring of Black-Box Dynamical Systems.” In <i>7th Annual
    Learning for Dynamics &#38; Control Conference</i>, 283:804–16. ML Research Press,
    2025.
  ieee: T. A. Henzinger, F. Kresse, K. Mallik, E. Yu, and D. Zikelic, “Predictive
    monitoring of black-box dynamical systems,” in <i>7th Annual Learning for Dynamics
    &#38; Control Conference</i>, Ann Arbor, MI, United States, 2025, vol. 283, pp.
    804–816.
  ista: 'Henzinger TA, Kresse F, Mallik K, Yu E, Zikelic D. 2025. Predictive monitoring
    of black-box dynamical systems. 7th Annual Learning for Dynamics &#38; Control
    Conference. L4DC: Learning for Dynamics &#38; Control, PMLR, vol. 283, 804–816.'
  mla: Henzinger, Thomas A., et al. “Predictive Monitoring of Black-Box Dynamical
    Systems.” <i>7th Annual Learning for Dynamics &#38; Control Conference</i>, vol.
    283, ML Research Press, 2025, pp. 804–16.
  short: T.A. Henzinger, F. Kresse, K. Mallik, E. Yu, D. Zikelic, in:, 7th Annual
    Learning for Dynamics &#38; Control Conference, ML Research Press, 2025, pp. 804–816.
conference:
  end_date: 2025-06-06
  location: Ann Arbor, MI, United States
  name: 'L4DC: Learning for Dynamics & Control'
  start_date: 2025-06-04
corr_author: '1'
date_created: 2025-08-31T22:01:32Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-03T10:37:59Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
- _id: ChLa
ec_funded: 1
external_id:
  arxiv:
  - '2412.16564'
file:
- access_level: open_access
  checksum: d5236e561560635f5ae1d17de4903033
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-03T10:32:12Z
  date_updated: 2025-09-03T10:32:12Z
  file_id: '20283'
  file_name: 2025_L4DC_HenzingerT.pdf
  file_size: 489639
  relation: main_file
  success: 1
file_date_updated: 2025-09-03T10:32:12Z
has_accepted_license: '1'
intvolume: '       283'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 804-816
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 7th Annual Learning for Dynamics & Control Conference
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Predictive monitoring of black-box dynamical systems
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 283
year: '2025'
...
---
OA_place: publisher
OA_type: diamond
_id: '20296'
abstract:
- lang: eng
  text: Learning-based systems are increasingly deployed across various domains, yet
    the complexity of traditional neural networks poses significant challenges for
    formal verification. Unlike conventional neural networks, learned Logic Gate Networks
    (LGNs) replace multiplications with Boolean logic gates, yielding a sparse, netlist-like
    architecture that is inherently more amenable to symbolic verification, while
    still delivering promising performance. In this paper, we introduce a SAT encoding
    for verifying global robustness and fairness in LGNs. We evaluate our method on
    five benchmark datasets, including a newly constructed 5-class variant, and find
    that LGNs are both verification-friendly and maintain strong predictive performance.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "This work is supported in part by the ERC grant under Grant No.
  ERC-2020-AdG 101020093 and\r\nthe Austrian Science Fund (FWF) [10.55776/COE12].
  This research was supported by the Scientific\r\nService Units (SSU) of ISTA through
  resources provided by Scientific Computing (SciComp)."
alternative_title:
- PMLR
article_number: '26'
article_processing_charge: No
arxiv: 1
author:
- first_name: Fabian
  full_name: Kresse, Fabian
  id: faff3c84-23f6-11ef-9085-e5187b51c604
  last_name: Kresse
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
- first_name: Christoph
  full_name: Lampert, Christoph
  id: 40C20FD2-F248-11E8-B48F-1D18A9856A87
  last_name: Lampert
  orcid: 0000-0001-8622-7887
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
citation:
  ama: 'Kresse F, Yu E, Lampert C, Henzinger TA. Logic gate neural networks are good
    for verification. In: <i>2nd International Conferenceon Neuro-Symbolic Systems</i>.
    Vol 288. ML Research Press; 2025.'
  apa: 'Kresse, F., Yu, E., Lampert, C., &#38; Henzinger, T. A. (2025). Logic gate
    neural networks are good for verification. In <i>2nd International Conferenceon
    Neuro-Symbolic Systems</i> (Vol. 288). Philadephia, PA, United States: ML Research
    Press.'
  chicago: Kresse, Fabian, Emily Yu, Christoph Lampert, and Thomas A Henzinger. “Logic
    Gate Neural Networks Are Good for Verification.” In <i>2nd International Conferenceon
    Neuro-Symbolic Systems</i>, Vol. 288. ML Research Press, 2025.
  ieee: F. Kresse, E. Yu, C. Lampert, and T. A. Henzinger, “Logic gate neural networks
    are good for verification,” in <i>2nd International Conferenceon Neuro-Symbolic
    Systems</i>, Philadephia, PA, United States, 2025, vol. 288.
  ista: 'Kresse F, Yu E, Lampert C, Henzinger TA. 2025. Logic gate neural networks
    are good for verification. 2nd International Conferenceon Neuro-Symbolic Systems.
    NeuS: International Conferenceon Neuro-Symbolic Systems, PMLR, vol. 288, 26.'
  mla: Kresse, Fabian, et al. “Logic Gate Neural Networks Are Good for Verification.”
    <i>2nd International Conferenceon Neuro-Symbolic Systems</i>, vol. 288, 26, ML
    Research Press, 2025.
  short: F. Kresse, E. Yu, C. Lampert, T.A. Henzinger, in:, 2nd International Conferenceon
    Neuro-Symbolic Systems, ML Research Press, 2025.
conference:
  end_date: 2025-05-30
  location: Philadephia, PA, United States
  name: 'NeuS: International Conferenceon Neuro-Symbolic Systems'
  start_date: 2025-05-28
corr_author: '1'
date_created: 2025-09-07T22:01:34Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-09T08:12:44Z
day: '01'
ddc:
- '000'
department:
- _id: ChLa
- _id: ToHe
ec_funded: 1
external_id:
  arxiv:
  - '2505.19932'
file:
- access_level: open_access
  checksum: 90a32defed34787e771a5c1623b6b0d2
  content_type: application/pdf
  creator: dernst
  date_created: 2025-09-09T08:10:13Z
  date_updated: 2025-09-09T08:10:13Z
  file_id: '20314'
  file_name: 2025_NeuS_Kresse.pdf
  file_size: 295466
  relation: main_file
  success: 1
file_date_updated: 2025-09-09T08:10:13Z
has_accepted_license: '1'
intvolume: '       288'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 2nd International Conferenceon Neuro-Symbolic Systems
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Logic gate neural networks are good for verification
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 288
year: '2025'
...
---
_id: '17413'
abstract:
- lang: eng
  text: Certification helps to increase trust in formal verification of safety-critical
    systems which require assurance on their correctness. In hardware model checking,
    a widely used formal verification technique, phase abstraction is considered one
    of the most commonly used preprocessing techniques. We present an approach to
    certify an extended form of phase abstraction using a generic certificate format.
    As in earlier works our approach involves constructing a witness circuit with
    an inductive invariant property that certifies the correctness of the entire model
    checking process, which is then validated by an independent certificate checker.
    We have implemented and evaluated the proposed approach including certification
    for various preprocessing configurations on hardware model checking competition
    benchmarks. As an improvement on previous work in this area, the proposed method
    is able to efficiently complete certification with an overhead of a fraction of
    model checking time.
acknowledgement: This work is supported by the Austrian Science Fund (FWF) under the
  project W1255-N23, the LIT AI Lab funded by the State of Upper Austria, the ERC-2020-AdG
  101020093, the Academy of Finland under the project 336092 and by a gift from Intel
  Corporation.
alternative_title:
- LNCS
article_processing_charge: Yes (in subscription journal)
arxiv: 1
author:
- first_name: Nils
  full_name: Froleyks, Nils
  last_name: Froleyks
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
- first_name: Armin
  full_name: Biere, Armin
  last_name: Biere
- first_name: Keijo
  full_name: Heljanko, Keijo
  last_name: Heljanko
citation:
  ama: 'Froleyks N, Yu E, Biere A, Heljanko K. Certifying phase abstraction. In: <i>Lecture
    Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence
    and Lecture Notes in Bioinformatics)</i>. Vol 14739. Springer Nature; 2024:284-303.
    doi:<a href="https://doi.org/10.1007/978-3-031-63498-7_17">10.1007/978-3-031-63498-7_17</a>'
  apa: 'Froleyks, N., Yu, E., Biere, A., &#38; Heljanko, K. (2024). Certifying phase
    abstraction. In <i>Lecture Notes in Computer Science (including subseries Lecture
    Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i> (Vol.
    14739, pp. 284–303). Nancy, France: Springer Nature. <a href="https://doi.org/10.1007/978-3-031-63498-7_17">https://doi.org/10.1007/978-3-031-63498-7_17</a>'
  chicago: Froleyks, Nils, Emily Yu, Armin Biere, and Keijo Heljanko. “Certifying
    Phase Abstraction.” In <i>Lecture Notes in Computer Science (Including Subseries
    Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)</i>,
    14739:284–303. Springer Nature, 2024. <a href="https://doi.org/10.1007/978-3-031-63498-7_17">https://doi.org/10.1007/978-3-031-63498-7_17</a>.
  ieee: N. Froleyks, E. Yu, A. Biere, and K. Heljanko, “Certifying phase abstraction,”
    in <i>Lecture Notes in Computer Science (including subseries Lecture Notes in
    Artificial Intelligence and Lecture Notes in Bioinformatics)</i>, Nancy, France,
    2024, vol. 14739, pp. 284–303.
  ista: 'Froleyks N, Yu E, Biere A, Heljanko K. 2024. Certifying phase abstraction.
    Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial
    Intelligence and Lecture Notes in Bioinformatics). IJCAR: International Joint
    Conference on Automated Reasoning, LNCS, vol. 14739, 284–303.'
  mla: Froleyks, Nils, et al. “Certifying Phase Abstraction.” <i>Lecture Notes in
    Computer Science (Including Subseries Lecture Notes in Artificial Intelligence
    and Lecture Notes in Bioinformatics)</i>, vol. 14739, Springer Nature, 2024, pp.
    284–303, doi:<a href="https://doi.org/10.1007/978-3-031-63498-7_17">10.1007/978-3-031-63498-7_17</a>.
  short: N. Froleyks, E. Yu, A. Biere, K. Heljanko, in:, Lecture Notes in Computer
    Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture
    Notes in Bioinformatics), Springer Nature, 2024, pp. 284–303.
conference:
  end_date: 2024-07-06
  location: Nancy, France
  name: 'IJCAR: International Joint Conference on Automated Reasoning'
  start_date: 2024-07-03
date_created: 2024-08-11T22:01:13Z
date_published: 2024-07-01T00:00:00Z
date_updated: 2025-09-08T08:49:53Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.1007/978-3-031-63498-7_17
ec_funded: 1
external_id:
  arxiv:
  - '2405.04297'
  isi:
  - '001273489700017'
file:
- access_level: open_access
  checksum: 7d7839fc8c5c680ea3ac09f40a66e55d
  content_type: application/pdf
  creator: dernst
  date_created: 2024-08-12T06:53:39Z
  date_updated: 2024-08-12T06:53:39Z
  file_id: '17414'
  file_name: 2024_LNCS_Froleyks.pdf
  file_size: 556902
  relation: main_file
  success: 1
file_date_updated: 2024-08-12T06:53:39Z
has_accepted_license: '1'
intvolume: '     14739'
isi: 1
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
page: 284-303
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: Lecture Notes in Computer Science (including subseries Lecture Notes
  in Artificial Intelligence and Lecture Notes in Bioinformatics)
publication_identifier:
  eissn:
  - 1611-3349
  isbn:
  - '9783031634970'
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Certifying phase abstraction
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 14739
year: '2024'
...
---
OA_place: repository
OA_type: green
_id: '17053'
abstract:
- lang: eng
  text: We introduce a formalization of ternary simulation as abstract interpretation
    along with a widening operator to speed up convergence. With the same goal, we
    present a subsumption algorithm that can determine termination earlier than the
    usual approach using hash sets. Additionally, we introduce a narrowing operator
    that utilizes recent advances in backbone extraction, allowing to increase the
    overapproximation precision in simulation at any time. The experiments evaluate
    the presented techniques in the context of hardware model checking.
acknowledgement: This work is supported by the Austrian Science Fund (FWF) under the
  project W1255-N23, the LIT AI Lab funded by the State of Upper Austria, the ERC-2020-AdG
  101020093 and by a gift from Intel Corporation.
article_processing_charge: No
author:
- first_name: Nils
  full_name: Froleyks, Nils
  last_name: Froleyks
- first_name: Zhengqi
  full_name: Yu, Zhengqi
  id: 20aa2ae8-f2f1-11ed-bbfa-8205053f1342
  last_name: Yu
  orcid: 0000-0002-4993-773X
- first_name: Armin
  full_name: Biere, Armin
  last_name: Biere
citation:
  ama: 'Froleyks N, Yu E, Biere A. Ternary simulation as abstract interpretation (Work
    in Progress). In: <i>27th Workshop on Methods and Description Languages for Modeling
    and Verification of Circuits and Systems</i>. VDE Verlag; 2024:148-151.'
  apa: 'Froleyks, N., Yu, E., &#38; Biere, A. (2024). Ternary simulation as abstract
    interpretation (Work in Progress). In <i>27th Workshop on Methods and Description
    Languages for Modeling and Verification of Circuits and Systems</i> (pp. 148–151).
    Kaiserslautern, Germany: VDE Verlag.'
  chicago: Froleyks, Nils, Emily Yu, and Armin Biere. “Ternary Simulation as Abstract
    Interpretation (Work in Progress).” In <i>27th Workshop on Methods and Description
    Languages for Modeling and Verification of Circuits and Systems</i>, 148–51. VDE
    Verlag, 2024.
  ieee: N. Froleyks, E. Yu, and A. Biere, “Ternary simulation as abstract interpretation
    (Work in Progress),” in <i>27th Workshop on Methods and Description Languages
    for Modeling and Verification of Circuits and Systems</i>, Kaiserslautern, Germany,
    2024, pp. 148–151.
  ista: 'Froleyks N, Yu E, Biere A. 2024. Ternary simulation as abstract interpretation
    (Work in Progress). 27th Workshop on Methods and Description Languages for Modeling
    and Verification of Circuits and Systems. MBMV: Methods and Description Languages
    for Modeling and Verification of Circuits and Systems, 148–151.'
  mla: Froleyks, Nils, et al. “Ternary Simulation as Abstract Interpretation (Work
    in Progress).” <i>27th Workshop on Methods and Description Languages for Modeling
    and Verification of Circuits and Systems</i>, VDE Verlag, 2024, pp. 148–51.
  short: N. Froleyks, E. Yu, A. Biere, in:, 27th Workshop on Methods and Description
    Languages for Modeling and Verification of Circuits and Systems, VDE Verlag, 2024,
    pp. 148–151.
conference:
  end_date: 2024-02-15
  location: Kaiserslautern, Germany
  name: 'MBMV: Methods and Description Languages for Modeling and Verification of
    Circuits and Systems'
  start_date: 2024-02-14
das_tickbox: '1'
date_created: 2024-05-26T22:00:58Z
date_published: 2024-02-01T00:00:00Z
date_updated: 2026-07-07T07:03:23Z
day: '01'
department:
- _id: ToHe
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://cca.informatik.uni-freiburg.de/papers/FroleyksYuBiere-MBMV24.pdf
month: '02'
oa: 1
oa_version: Submitted Version
page: 148-151
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 27th Workshop on Methods and Description Languages for Modeling and Verification
  of Circuits and Systems
publication_identifier:
  isbn:
  - '9783800762682'
publication_status: published
publisher: VDE Verlag
quality_controlled: '1'
scopus_import: '1'
status: public
title: Ternary simulation as abstract interpretation (Work in Progress)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
