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FRAPPANT – Formal Reasoning About Probabilistic Programs: Breaking New Ground for Automation

FRAPPANT’s objective is to enable predictable probabilistic programming by developing unique, advanced formal verification techniques.

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ERC Advanced Grant 2017 (787914). Project duration: 1.11.2018 to 31.10.2024. See also the CORDIS fact sheet on FRAPPANT and the RWTH press release.

Researchers. Joost-Pieter Katoen, Kevin Batz, Lutz Klinkenberg, Bahare Salmani, Philipp Schroer.

Abstract

Probabilistic programs describe recipes on how to infer statistical conclusions about data from a complex mixture of uncertain data and real-world observations. They can represent probabilistic graphical models far beyond the capabilities of Bayesian networks and are expected to have a major impact on machine intelligence.

Probabilistic programs are ubiquitous. They steer autonomous robots and self-driving cars, are key to describe security mechanisms, naturally code up randomised algorithms for solving NP-hard problems, and are rapidly encroaching AI. Probabilistic programming aims to make probabilistic modeling and machine learning accessible to the programmer.

Probabilistic programs, though typically relatively small in size, are hard to grasp, let alone automatically checkable. Are they doing the right thing? What’s their precision? These questions are notoriously hard — even the most elementary question “does a program halt with probability one?” is “more undecidable” than the halting problem — and can (if at all) be answered with statistical evidence only. Bugs thus easily occur. Hard guarantees are called for. The objective of this project is to enable predictable probabilistic programming. We do so by developing formal verification techniques.

Whereas program correctness is pivotal in computer science, the formal verification of probabilistic programs is in its infancy. The project aims to fill this barren landscape by developing program analysis techniques, leveraging model checking, deductive verification, and static analysis. Challenging problems such as checking program equivalence, loop-invariant and parameter synthesis, program repair, program robustness and exact inference using weakest precondition reasoning will be tackled. The techniques will be evaluated in the context of probabilistic graphical models, randomised algorithms, and autonomous robots.

FRAPPANT will spearhead formally verifiable probabilistic programming.

Thesis Projects, Lectures, and Seminars

If you are interested in working on this project as a thesis or Hiwi student, contact one of our researchers on the project. We always have interesting topics available related to this project.

We also provide a recurring lecture series on probabilistic programs. For example, check out the WS 2022/23 lecture page. Furthermore, our seminars regularly deal with topics related to FRAPPANT. Head over to our teaching page for more information.

Our Publications Related to FRAPPANT

2023
DOI [bibtex]
@conference{PPVISII2023,
title = {Probabilistic Program Verification via Inductive Synthesis of Inductive Invariants},
author = {Kevin Batz and Mingshuai Chen and Sebastian Junges and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja},
booktitle = {LNCS},
volume = {13994},
type = {Conference Paper},
year = {2023},
doi = {10.1007/978-3-031-30820-8_25},
url = { https://publications.rwth-aachen.de/record/957952},
}×
[issue] 		Kevin Batz, Mingshuai Chen, Sebastian Junges, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja. Probabilistic Program Verification via Inductive Synthesis of Inductive Invariants, Tools and Algorithms for the Construction and Analysis of Systems, Volume 13994 of LNCS, 2023.
fulltext PDF [bibtex]
@unpublished{EPIUGF2023,
title = {Exact Probabilistic Inference Using Generating Functions},
author = {Lutz Klinkenberg and Tobias Winkler and Mingshuai Chen and Joost-Pieter Katoen},
type = {Preprint},
year = {2023},
url = { https://publications.rwth-aachen.de/record/862300},
}×
[issue] 		Lutz Klinkenberg, Tobias Winkler, Mingshuai Chen, Joost-Pieter Katoen. Exact Probabilistic Inference Using Generating Functions, 2023.
2022
DOI [bibtex]
@article{ES2022,
title = {Encoding inductive invariants as barrier certificates: Synthesis via difference-of-convex programming},
author = {Qiuye Wang and Mingshuai Chen and Bai Xue and Naijun Zhan and Joost-Pieter Katoen},
publisher = {Elsevier},
journal = {Information and computation},
volume = {289(A)},
pages = {pages 104965},
type = {Journal Article},
year = {2022},
doi = {10.1016/j.ic.2022.104965},
url = { https://publications.rwth-aachen.de/record/853946},
}×
[issue] 		Qiuye Wang, Mingshuai Chen, Bai Xue, Naijun Zhan, Joost-Pieter Katoen. Encoding inductive invariants as barrier certificates: Synthesis via difference-of-convex programming, Information and computation 289 (A), pages 104965, Elsevier, 2022.
2021
DOI fulltext PDF [bibtex]
@article{S2021,
title = {Synthesizing optimal bias in randomized self-stabilization},
author = {Matthias Volk and Borzoo Bonakdarpour and Joost-Pieter Katoen and Saba Aflaki},
publisher = {Springer},
journal = {Distributed computing},
volume = {35(1)},
pages = {pages 37-57},
type = {Journal Article},
year = {2021},
doi = {10.1007/s00446-021-00408-4},
url = { https://publications.rwth-aachen.de/record/835189},
}×
[issue] 		Matthias Volk, Borzoo Bonakdarpour, Joost-Pieter Katoen, Saba Aflaki. Synthesizing optimal bias in randomized self-stabilization, Distributed computing 35 (1), pages 37-57, Springer, 2021.
DOI fulltext PDF [bibtex]
@conference{FTOBN2021,
title = {Fine-Tuning the Odds in Bayesian Networks},
author = {Bahare Salmani Barzoki and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {12897},
pages = {268-283},
type = {Conference Paper},
year = {2021},
doi = {10.1007/978-3-030-86772-0_20},
url = { https://publications.rwth-aachen.de/record/828686},
}×
[issue] 		Bahare Salmani Barzoki, Joost-Pieter Katoen. Fine-Tuning the Odds in Bayesian Networks, European Conference on Symbolic and Quantitative Approaches with Uncertainty (ECSQARU), Volume 12897 of LNCS, 268-283, Springer, 2021.
DOI fulltext PDF [bibtex]
@article{TS2021,
title = {The probabilistic model checker STORM},
author = {Hans Christian Hensel and Sebastian Junges and Joost-Pieter Katoen and Tim Quatmann and Matthias Volk},
publisher = {Springer},
journal = {International journal on software tools for technology transfer},
volume = {24(4)},
pages = {pages 589-610},
type = {Journal Article},
year = {2021},
doi = {10.1007/s10009-021-00633-z},
url = { https://publications.rwth-aachen.de/record/822059},
}×
[issue] 		Hans Christian Hensel, Sebastian Junges, Joost-Pieter Katoen, Tim Quatmann, Matthias Volk. The probabilistic model checker STORM, International journal on software tools for technology transfer 24 (4), pages 589-610, Springer, 2021.
DOI [bibtex]
@conference{OFDVSWRA2021,
title = {Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata},
author = {Mikolaj Bojanczyk and Bartek Klin and Joshua Moerman},
publisher = {Association for Computing Machinery},
booktitle = {ACM Conferences},
pages = {[1]-13},
type = {Conference Paper},
year = {2021},
doi = {10.1109/LICS52264.2021.9470634},
url = { https://publications.rwth-aachen.de/record/847230},
}×
[issue] 		Mikolaj Bojanczyk, Bartek Klin, Joshua Moerman. Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata, 36. Annual ACM/IEEE Symposium on Logic in Computer Science (LICS), ACM Conferences, [1]-13, Association for Computing Machinery, 2021.
DOI fulltext PDF [bibtex]
@conference{LIAPP2021,
title = {Latticed $k$-Induction with an Application to Probabilistic Programs},
author = {Kevin Batz and Mingshuai Chen and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja and Philipp Schröer},
publisher = {Springer},
booktitle = {LNCS},
volume = {12760},
pages = {524-549},
type = {Conference Paper},
year = {2021},
doi = {10.1007/978-3-030-81688-9_25},
url = { https://publications.rwth-aachen.de/record/822587},
}×
[issue] 		Kevin Batz, Mingshuai Chen, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja, Philipp Schröer. Latticed $k$-Induction with an Application to Probabilistic Programs, 33. International Conference on Computer-Aided Verification (CAV 2021), Volume 12760 of LNCS, 524-549, Springer, 2021.
DOI fulltext PDF [bibtex]
@conference{SIBCDCP2021,
title = {Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming},
author = {Qiuye Wang and Mingshuai Chen and Bai Xue and Naijun Zhan and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {12759, Theoretical Computer Science and General Issues},
pages = {443-466},
type = {Conference Paper},
year = {2021},
doi = {10.1007/978-3-030-81685-8_21},
url = { https://publications.rwth-aachen.de/record/822586},
}×
[issue] 		Qiuye Wang, Mingshuai Chen, Bai Xue, Naijun Zhan, Joost-Pieter Katoen. Synthesizing Invariant Barrier Certificates via Difference-of-Convex Programming, 33. International Conference on Computer-Aided Verification (CAV 2021), Volume 12759, Theoretical Computer Science and General Issues of LNCS, 443-466, Springer, 2021.
DOI fulltext PDF [bibtex]
@article{A2021,
title = {A pre-expectation calculus for probabilistic sensitivity},
author = {Alejandro Aguirre and Gilles Barthe and Justin Hsu and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja},
publisher = {Association for Computing Machinery},
journal = {Proceedings of the ACM on programming languages},
volume = {5(POPL)},
pages = {pages 52},
type = {Journal Article},
year = {2021},
doi = {10.1145/3434333},
url = { https://publications.rwth-aachen.de/record/819375},
}×
[issue] 		Alejandro Aguirre, Gilles Barthe, Justin Hsu, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja. A pre-expectation calculus for probabilistic sensitivity, Proceedings of the ACM on programming languages 5 (POPL), pages 52, Association for Computing Machinery, 2021.
DOI arXiv:2104.02438 fulltext PDF [bibtex]
@unpublished{OFDVSWRA2021,
title = {Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata},
author = {Mikołaj Bojańczyk and Bartek Klin and Joshua Moerman},
pages = {16 Seiten},
type = {Preprint},
year = {2021},
doi = {10.18154/RWTH-2021-03671},
url = { https://arxiv.org/abs/2104.02438},
}×
[issue] 		Mikołaj Bojańczyk, Bartek Klin, Joshua Moerman. Orbit-Finite-Dimensional Vector Spaces and Weighted Register Automata, 16 Seiten, 2021. https://arxiv.org/abs/2104.02438
DOI fulltext PDF [bibtex]
@article{R2021,
title = {Relatively complete verification of probabilistic programs: an expressive language for expectation-based reasoning},
author = {Kevin Batz and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja},
publisher = {ACM},
journal = {Proceedings of the ACM on programming languages},
volume = {5},
pages = {pages 39},
type = {Journal Article},
year = {2021},
doi = {10.1145/3434320},
url = { https://publications.rwth-aachen.de/record/816245},
}×
[issue] 		Kevin Batz, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja. Relatively complete verification of probabilistic programs: an expressive language for expectation-based reasoning, Proceedings of the ACM on programming languages 5, pages 39, ACM, 2021.
DOI [bibtex]
@article{TM2021,
title = {The complexity of reachability in parametric Markov decision processes},
author = {Sebastian Junges and Joost-Pieter Katoen and Guillermo A. Pérez and Tobias Winkler},
publisher = {Elsevier},
journal = {Journal of computer and system sciences},
volume = {119},
pages = {pages 183-210},
type = {Journal Article},
year = {2021},
doi = {10.1016/j.jcss.2021.02.006},
url = { https://publications.rwth-aachen.de/record/816179},
}×
[issue] 		Sebastian Junges, Joost-Pieter Katoen, Guillermo A. Pérez, Tobias Winkler. The complexity of reachability in parametric Markov decision processes, Journal of computer and system sciences 119, pages 183-210, Elsevier, 2021.
DOI fulltext PDF [bibtex]
@book{F2021,
title = {Foundations of probabilistic programming},
author = {},
editor = {Gilles Barthe and Joost-Pieter Katoen and Alexandra Silva},
publisher = {Cambridge University Press},
pages = {xiv, 568 Seiten : Illustrationen},
type = {Book},
year = {2021},
doi = {10.1017/9781108770750},
url = { https://publications.rwth-aachen.de/record/814578},
}×
[issue] 		Gilles Barthe (ed), Joost-Pieter Katoen (ed), Alexandra Silva (ed). Foundations of probabilistic programming, xiv, 568 Seiten : Illustrationen, Cambridge University Press, 2021.
fulltext PDF [bibtex]
@conference{GFPP2021,
title = {Generating Functions for Probabilistic Programs},
author = {Lutz Klinkenberg and Kevin Batz and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Joshua Moerman and Tobias Winkler},
publisher = {Springer},
booktitle = {Theoretical Computer Science and General Issues},
volume = {12561},
pages = {231-248},
type = {Conference Paper},
year = {2021},
url = { https://publications.rwth-aachen.de/record/807881},
}×
[issue] 		Lutz Klinkenberg, Kevin Batz, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Joshua Moerman, Tobias Winkler. Generating Functions for Probabilistic Programs, 30. International Symposium on Logic-Based Program Synthesis and Transformation (LOPSTR 2020), Volume 12561 of Theoretical Computer Science and General Issues, 231-248, Springer, 2021.
2020
DOI fulltext PDF [bibtex]
@conference{BISMC2020,
title = {Bayesian Inference by Symbolic Model Checking},
author = {Bahare Salmani Barzoki and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {12289},
pages = {115-133},
type = {Conference Paper},
year = {2020},
doi = {10.1007/978-3-030-59854-9_9},
url = { https://publications.rwth-aachen.de/record/814595},
}×
[issue] 		Bahare Salmani Barzoki, Joost-Pieter Katoen. Bayesian Inference by Symbolic Model Checking, 17. International Conference on Quantitative Evaluation of SysTems (QEST 2020), Volume 12289 of LNCS, 115-133, Springer, 2020.
DOI fulltext PDF [bibtex]
@article{I2020,
title = {Indecision and delays are the parents of failure - taming them algorithmically by synthesizing delay-resilient control},
author = {Mingshuai Chen and Martin Fränzle and Yangjia Li and Peter N. Mosaad and Naijun Zhan},
publisher = {Springer},
journal = {Acta informatica},
volume = {58(5)},
pages = {pages 497-528},
type = {Journal Article},
year = {2020},
doi = {10.1007/s00236-020-00374-7},
url = { https://publications.rwth-aachen.de/record/783310},
}×
[issue] 		Mingshuai Chen, Martin Fränzle, Yangjia Li, Peter N. Mosaad, Naijun Zhan. Indecision and delays are the parents of failure - taming them algorithmically by synthesizing delay-resilient control, Acta informatica 58 (5), pages 497-528, Springer, 2020.
DOI fulltext PDF [bibtex]
@conference{PPDRM2020,
title = {PrIC3: Property Directed Reachability for MDPs},
author = {Kevin Batz and Sebastian Junges and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja and Philipp Schröer},
publisher = {Springer},
booktitle = {LNCS},
volume = {12225},
pages = {512-538},
type = {Conference Paper},
year = {2020},
doi = {10.1007/978-3-030-53291-8_27},
url = { https://publications.rwth-aachen.de/record/816242},
}×
[issue] 		Kevin Batz, Sebastian Junges, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja, Philipp Schröer. PrIC3: Property Directed Reachability for MDPs, 32. International Conference on Computer Aided Verification (CAV 2020), Volume 12225 of LNCS, 512-538, Springer, 2020.
DOI [bibtex]
@conference{WPSBICCDD2020,
title = {Weakest Preexpectation Semantics for Bayesian Inference: Conditioning, Continuous Distributions and Divergence},
author = {Marcin Szymczak and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {12154},
pages = {44-121},
type = {Conference Paper},
year = {2020},
doi = {10.1007/978-3-030-55089-9_3},
url = { https://publications.rwth-aachen.de/record/814579},
}×
[issue] 		Marcin Szymczak, Joost-Pieter Katoen. Weakest Preexpectation Semantics for Bayesian Inference: Conditioning, Continuous Distributions and Divergence, 5. School on Engineering Trustworthy Software Systems (SETSS 2019), Volume 12154 of LNCS, 44-121, Springer, 2020.
arXiv:2007.06327 [bibtex]
@unpublished{GFPP2020,
title = {Generating Functions for Probabilistic Programs},
author = {Lutz Klinkenberg and Kevin Batz and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Joshua Moerman and Tobias Winkler},
type = {Preprint},
year = {2020},
url = { https://arxiv.org/abs/2007.06327},
}×
[issue] 		Lutz Klinkenberg, Kevin Batz, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Joshua Moerman, Tobias Winkler. Generating Functions for Probabilistic Programs, 2020. https://arxiv.org/abs/2007.06327
DOI [bibtex]
@conference{RNA2020,
title = {Residual Nominal Automata},
author = {Joshua Moerman and Matteo Sammartino},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, August},
booktitle = {Leibniz international proceedings in informatics},
volume = {171},
pages = {44:1-44:21},
type = {Conference Paper},
year = {2020},
doi = {10.4230/LIPIcs.CONCUR.2020.44},
url = { https://publications.rwth-aachen.de/record/804584},
}×
[issue] 		Joshua Moerman, Matteo Sammartino. Residual Nominal Automata, 31. International Conference on Concurrency Theory (CONCUR 2020), Volume 171 of Leibniz international proceedings in informatics, 44:1-44:21, Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, August, 2020.
DOI fulltext PDF [bibtex]
@conference{UTSVSDD2020,
title = {Unbounded-Time Safety Verification of Stochastic Differential Dynamics},
author = {Shenghua Feng and Mingshuai Chen and Bai Xue and Sriram Sankaranarayanan and Naijun Zhan},
publisher = {Springer},
booktitle = {LNCS},
volume = {12225},
pages = {327-348},
type = {Conference Paper},
year = {2020},
doi = {10.1007/978-3-030-53291-8_18},
url = { https://publications.rwth-aachen.de/record/794357},
}×
[issue] 		Shenghua Feng, Mingshuai Chen, Bai Xue, Sriram Sankaranarayanan, Naijun Zhan. Unbounded-Time Safety Verification of Stochastic Differential Dynamics, 32. International Conference on Computer Aided Verification (CAV 2020), Volume 12225 of LNCS, 327-348, Springer, 2020.
arXiv:2004.14835 [bibtex]
@unpublished{PPDRM2020,
title = {PrIC3: Property Directed Reachability for MDPs},
author = {Kevin Batz and Sebastian Junges and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja and Philipp Schroer},
type = {Preprint},
year = {2020},
url = { https://arxiv.org/abs/2004.14835},
}×
[issue] 		Kevin Batz, Sebastian Junges, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja, Philipp Schroer. PrIC3: Property Directed Reachability for MDPs, 2020. https://arxiv.org/abs/2004.14835
DOI fulltext PDF [bibtex]
@conference{LOCTA2020,
title = {Learning One-Clock Timed Automata},
author = {Jie An and Mingshuai Chen and Bohua Zhan and Naijun Zhan and Miaomiao Zhang},
publisher = {Springer},
booktitle = {LNCS},
volume = {12078, Theoretical Computer Science and General Issues},
pages = {444-462},
type = {Conference Paper},
year = {2020},
doi = {10.1007/978-3-030-45190-5_25},
url = { https://publications.rwth-aachen.de/record/787949},
}×
[issue] 		Jie An, Mingshuai Chen, Bohua Zhan, Naijun Zhan, Miaomiao Zhang. Learning One-Clock Timed Automata, 26. International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS 2020), Volume 12078, Theoretical Computer Science and General Issues of LNCS, 444-462, Springer, 2020.
DOI fulltext PDF [bibtex]
@conference{SRNS2020,
title = {Separation and Renaming in Nominal Sets},
author = {Joshua Moerman and Jurriaan Rot},
publisher = {Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, January},
booktitle = {Leibniz international proceedings in informatics},
volume = {152},
pages = {31:1-31:17},
type = {Conference Paper},
year = {2020},
doi = {10.4230/LIPIcs.CSL.2020.31},
url = { https://publications.rwth-aachen.de/record/786820},
}×
[issue] 		Joshua Moerman, Jurriaan Rot. Separation and Renaming in Nominal Sets, 28. EACSL Annual Conference on Computer Science Logic (CSL 2020), Volume 152 of Leibniz international proceedings in informatics, 31:1-31:17, Schloss Dagstuhl - Leibniz-Zentrum für Informatik GmbH, Dagstuhl Publishing, January, 2020.
2019
DOI [bibtex]
@conference{CDSPPS2019,
title = {Counterexample-Driven Synthesis for Probabilistic Program Sketches},
author = {Milan Češka and Hans Christian Hensel and Sebastian Junges and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {11800},
pages = {101-120},
type = {Conference Paper},
year = {2019},
doi = {10.1007/978-3-030-30942-8_8},
url = { https://publications.rwth-aachen.de/record/786831},
}×
[issue] 		Milan Češka, Hans Christian Hensel, Sebastian Junges, Joost-Pieter Katoen. Counterexample-Driven Synthesis for Probabilistic Program Sketches, 3. World Congress on Formal Methods (FM 2019), Volume 11800 of LNCS, 101-120, Springer, 2019.
arXiv:1906.00763 [bibtex]
@unpublished{SRNS2019,
title = {Separation and Renaming in Nominal Sets},
author = {Joshua Moerman and Jurriaan Rot},
pages = {23 Seiten},
type = {Preprint},
year = {2019},
url = { https://arxiv.org/abs/1906.00763},
}×
[issue] 		Joshua Moerman, Jurriaan Rot. Separation and Renaming in Nominal Sets, 23 Seiten, 2019. https://arxiv.org/abs/1906.00763
DOI arXiv:1910.11666 fulltext PDF [bibtex]
@unpublished{RNA2019,
title = {Residual Nominal Automata},
author = {Joshua Moerman and Matteo Sammartino},
pages = {25 Seiten},
type = {Preprint},
year = {2019},
doi = {10.18154/RWTH-2020-03711},
url = { https://arxiv.org/abs/1910.11666},
}×
[issue] 		Joshua Moerman, Matteo Sammartino. Residual Nominal Automata, 25 Seiten, 2019. https://arxiv.org/abs/1910.11666
DOI [bibtex]
@inbook{MRR2019,
title = {Model Repair Revamped},
author = {Milan Češka and Hans Christian Dehnert and Nils Jansen and Sebastian Junges and Joost-Pieter Katoen},
publisher = {Springer},
booktitle = {LNCS},
volume = {11500},
pages = {107-125},
type = {Book Chapter},
year = {2019},
doi = {10.1007/978-3-030-31514-6_7},
url = { https://publications.rwth-aachen.de/record/768054},
}×
[issue] 		Milan Češka, Hans Christian Dehnert, Nils Jansen, Sebastian Junges, Joost-Pieter Katoen. Model Repair Revamped, Volume 11500 of LNCS, 107-125, Springer, 2019.
DOI fulltext PDF [bibtex]
@conference{TQVBS2019,
title = {The Quantitative Verification Benchmark Set},
author = {Arnd Hartmanns and Michaela Klauck and David Parker and Tim Quatmann and Enno Ruijters},
publisher = {Springer},
booktitle = {LNCS},
volume = {11427},
pages = {344-350},
type = {Conference Paper},
year = {2019},
doi = {10.1007/978-3-030-17462-0_20},
url = { https://publications.rwth-aachen.de/record/759258},
}×
[issue] 		Arnd Hartmanns, Michaela Klauck, David Parker, Tim Quatmann, Enno Ruijters. The Quantitative Verification Benchmark Set, 25. International Conference on Tools and Algorithms for the Construction and Analysis of Systems (TACAS), Volume 11427 of LNCS, 344-350, Springer, 2019.
DOI fulltext PDF [bibtex]
@phdthesis{A2019,
title = {Advanced weakest precondition calculi for probabilistic programs},
author = {Benjamin Lucien Kaminski},
institution = {RWTH Aachen University},
pages = {1 Online-Ressource (xiv, 363 Seiten) : Illustrationen, Diagramme},
type = {PhD Thesis},
year = {2019},
doi = {10.18154/RWTH-2019-01829},
url = { https://publications.rwth-aachen.de/record/755408},
}×
[issue] 		Benjamin Lucien Kaminski. Advanced weakest precondition calculi for probabilistic programs, PhD Thesis, RWTH Aachen University, 1 Online-Ressource (xiv, 363 Seiten) : Illustrationen, Diagramme, 2019.
DOI fulltext PDF [bibtex]
@article{Q2019,
title = {Quantitative separation logic: a logic for reasoning about probabilistic pointer programs},
author = {Kevin Batz and Benjamin Lucien Kaminski and Joost-Pieter Katoen and Christoph Matheja and Thomas Noll},
publisher = {ACM},
journal = {Proceedings of the ACM on programming languages},
volume = {3(POPL)},
pages = {pages 34},
type = {Journal Article},
year = {2019},
doi = {10.1145/3290347},
url = { https://publications.rwth-aachen.de/record/753722},
}×
[issue] 		Kevin Batz, Benjamin Lucien Kaminski, Joost-Pieter Katoen, Christoph Matheja, Thomas Noll. Quantitative separation logic: a logic for reasoning about probabilistic pointer programs, Proceedings of the ACM on programming languages 3 (POPL), pages 34, ACM, 2019.
2018
fulltext PDF [bibtex]
@article{DTLPSADDPVC2018,
title = {Digital Transformation of Lean Production: Systematic Approach for the Determination of Digitally Pervasive Value Chains},
author = {Peter Burggräf and Matthias Dannapfel and Hanno Arnd Voet and Patrick-Benjamin Bök and Jerome Uelpenich and Julian Hoppe},
publisher = {Apprimus Verlag},
journal = {International Journal on Operations Management and Industrial Engineering},
volume = {17(10)},
pages = {pages 671-680},
type = {Journal Article},
year = {2018},
url = { https://publications.rwth-aachen.de/record/717232},
}×
[issue] 		Peter Burggräf, Matthias Dannapfel, Hanno Arnd Voet, Patrick-Benjamin Bök, Jerome Uelpenich, Julian Hoppe. Digital Transformation of Lean Production: Systematic Approach for the Determination of Digitally Pervasive Value Chains, International Journal on Operations Management and Industrial Engineering 17 (10), pages 671-680, Apprimus Verlag, 2018.