Symbolic Techniques for Quantitative Extensions of Equality [SQUEE]
Project Description
FWF Project No P 35530
Project Lead
Project Duration
01/04/2022 - 31/03/2026Project URL
Go to Website
Partners
The Austrian Science Fund (FWF)
Publications
2024
[AUTHOR]
Proximity-based matching with arbitrary T-norms
Maximilian Donnermair
RISC, Johannes Kepler University Linz. Bachelor Thesis. 2024. [pdf]@misc{RISC7061,
author = {Maximilian Donnermair},
title = {{Proximity-based matching with arbitrary T-norms}},
language = {english},
year = {2024},
translation = {0},
institution = {RISC, Johannes Kepler University Linz},
length = {38}
}
author = {Maximilian Donnermair},
title = {{Proximity-based matching with arbitrary T-norms}},
language = {english},
year = {2024},
translation = {0},
institution = {RISC, Johannes Kepler University Linz},
length = {38}
}
[Cerna]
Equational Anti-unification over Absorption Theories
Mauricio Ayala-Rincón, David M. Cerna, Andres Felipe Gonzalez Barragan, Temur Kutsia
In: Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings, Christoph Benzmüller, Marijn J. H. Heule, Renate A. Schmidt (ed.), Lecture Notes in Artificial Intelligence 14740, pp. 317-337. 2024. Springer, ISBN 978-3-031-63500-7. [doi]@inproceedings{RISC7064,
author = {Mauricio Ayala-Rincón and David M. Cerna and Andres Felipe Gonzalez Barragan and Temur Kutsia},
title = {{Equational Anti-unification over Absorption Theories}},
booktitle = {{Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {14740},
pages = {317--337},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-63500-7},
year = {2024},
editor = {Christoph Benzmüller and Marijn J. H. Heule and Renate A. Schmidt},
refereed = {yes},
length = {21},
url = {https://doi.org/10.1007/978-3-031-63501-4_17}
}
author = {Mauricio Ayala-Rincón and David M. Cerna and Andres Felipe Gonzalez Barragan and Temur Kutsia},
title = {{Equational Anti-unification over Absorption Theories}},
booktitle = {{Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {14740},
pages = {317--337},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-63500-7},
year = {2024},
editor = {Christoph Benzmüller and Marijn J. H. Heule and Renate A. Schmidt},
refereed = {yes},
length = {21},
url = {https://doi.org/10.1007/978-3-031-63501-4_17}
}
[Ehling]
Solving Quantitative Equations
G. Ehling, T. Kutsia
Technical report no. 24-03 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online). April 2024. Licensed under CC BY 4.0 International. [doi] [pdf]@techreport{RISC7056,
author = {G. Ehling and T. Kutsia},
title = {{Solving Quantitative Equations}},
language = {english},
abstract = {Quantitative equational reasoning provides a framework that extends equality to an abstract notion of proximity by endowing equations with an element of a quantale. In this paper, we discuss the unification problem for a special class of shallow subterm-collapse-free quantitative equational theories. We outline rule-based algorithms for solving such equational unification problems over generic as well as idempotent Lawvereian quantales and study their properties.},
number = {24-03},
year = {2024},
month = {April},
keywords = {quantitative equational reasoning, Lawvereian quantales, equational unification},
length = {23},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
author = {G. Ehling and T. Kutsia},
title = {{Solving Quantitative Equations}},
language = {english},
abstract = {Quantitative equational reasoning provides a framework that extends equality to an abstract notion of proximity by endowing equations with an element of a quantale. In this paper, we discuss the unification problem for a special class of shallow subterm-collapse-free quantitative equational theories. We outline rule-based algorithms for solving such equational unification problems over generic as well as idempotent Lawvereian quantales and study their properties.},
number = {24-03},
year = {2024},
month = {April},
keywords = {quantitative equational reasoning, Lawvereian quantales, equational unification},
length = {23},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
[Ehling]
Solving Quantitative Equations
Georg Ehling, Temur Kutsia
In: Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings, Christoph Benzmüller, Marijn J. H. Heule, Renate A. Schmidt (ed.), Lecture Notes in Artificial Intelligence 14740, pp. 381-400. 2024. Springer, ISBN 978-3-031-63500-7. [doi]@inproceedings{RISC7065,
author = {Georg Ehling and Temur Kutsia},
title = {{Solving Quantitative Equations}},
booktitle = {{Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {14740},
pages = {381--400},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-63500-7},
year = {2024},
editor = {Christoph Benzmüller and Marijn J. H. Heule and Renate A. Schmidt},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1007/978-3-031-63501-4_20}
}
author = {Georg Ehling and Temur Kutsia},
title = {{Solving Quantitative Equations}},
booktitle = {{Automated Reasoning - 12th International Joint Conference, IJCAR 2024, Nancy, France, July 3-6, 2024, Proceedings}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {14740},
pages = {381--400},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-63500-7},
year = {2024},
editor = {Christoph Benzmüller and Marijn J. H. Heule and Renate A. Schmidt},
refereed = {yes},
length = {20},
url = {https://doi.org/10.1007/978-3-031-63501-4_20}
}
2023
[Cerna]
Anti-unification and Generalization: a Survey
David Cerna, Temur Kutsia
In: Proceedings of IJCAI 2023 - 32nd International Joint Conference on Artifical Intelligence, Edith Elkind (ed.), pp. 6563-6573. 2023. ijcai.org, ISBN 978-1-956792-03-4 . [doi]@inproceedings{RISC6743,
author = {David Cerna and Temur Kutsia},
title = {{Anti-unification and Generalization: a Survey}},
booktitle = {{Proceedings of IJCAI 2023 - 32nd International Joint Conference on Artifical Intelligence}},
language = {english},
pages = {6563--6573},
publisher = {ijcai.org},
isbn_issn = {ISBN 978-1-956792-03-4 },
year = {2023},
editor = {Edith Elkind},
refereed = {yes},
length = {11},
url = {https://doi.org/10.24963/ijcai.2023/736}
}
author = {David Cerna and Temur Kutsia},
title = {{Anti-unification and Generalization: a Survey}},
booktitle = {{Proceedings of IJCAI 2023 - 32nd International Joint Conference on Artifical Intelligence}},
language = {english},
pages = {6563--6573},
publisher = {ijcai.org},
isbn_issn = {ISBN 978-1-956792-03-4 },
year = {2023},
editor = {Edith Elkind},
refereed = {yes},
length = {11},
url = {https://doi.org/10.24963/ijcai.2023/736}
}
[Cerna]
Equational Anti-Unification over Absorption Theories
Mauricio Ayala-Rincón, David M. Cerna, Andres Felipe Gonzalez Barragan, Temur Kutsia
arXiv:2310.11136. Technical report, 2023. [doi]@techreport{RISC6884,
author = {Mauricio Ayala-Rincón and David M. Cerna and Andres Felipe Gonzalez Barragan and Temur Kutsia},
title = {{Equational Anti-Unification over Absorption Theories}},
language = {english},
year = {2023},
institution = {arXiv:2310.11136},
length = {23},
url = {https://doi.org/10.48550/arXiv.2310.11136}
}
author = {Mauricio Ayala-Rincón and David M. Cerna and Andres Felipe Gonzalez Barragan and Temur Kutsia},
title = {{Equational Anti-Unification over Absorption Theories}},
language = {english},
year = {2023},
institution = {arXiv:2310.11136},
length = {23},
url = {https://doi.org/10.48550/arXiv.2310.11136}
}
[Ehling]
Matching in Quantitative Equational Theories
Georg Ehling, Temur Kutsia
In: UNIF 2023 - 37th International Workshop on Unification, Veena Ravishankar and Christophe Ringeissen (ed.), pp. -. 2023. [url]@inproceedings{RISC6885,
author = {Georg Ehling and Temur Kutsia},
title = {{Matching in Quantitative Equational Theories}},
booktitle = {{UNIF 2023 - 37th International Workshop on Unification}},
language = {english},
pages = {--},
isbn_issn = { },
year = {2023},
editor = {Veena Ravishankar and Christophe Ringeissen},
refereed = {yes},
sponsor = {FWF},
length = {7},
url = {https://inria.hal.science/hal-04128216}
}
author = {Georg Ehling and Temur Kutsia},
title = {{Matching in Quantitative Equational Theories}},
booktitle = {{UNIF 2023 - 37th International Workshop on Unification}},
language = {english},
pages = {--},
isbn_issn = { },
year = {2023},
editor = {Veena Ravishankar and Christophe Ringeissen},
refereed = {yes},
sponsor = {FWF},
length = {7},
url = {https://inria.hal.science/hal-04128216}
}
[Kutsia]
Nominal AC-Matching
Mauricio Ayala-Rincón, Maribel Fernández, Gabriel Ferreira Silva, Temur Kutsia, and Daniele Nantes-Sobrinho
In: Proceedings of the 16th International Conference on Intelligent Computer Mathematics, CICM 2023, Catherine Dubois and Manfred Kerber (ed.), Lecture Notes in Aritificial Intelligence 14101, pp. 53-68. 2023. Springer, ISBN 978-3-031-42752-7. [doi]@inproceedings{RISC6744,
author = {Mauricio Ayala-Rincón and Maribel Fernández and Gabriel Ferreira Silva and Temur Kutsia and and Daniele Nantes-Sobrinho},
title = {{Nominal AC-Matching}},
booktitle = {{Proceedings of the 16th International Conference on Intelligent Computer Mathematics, CICM 2023}},
language = {english},
series = {Lecture Notes in Aritificial Intelligence},
volume = {14101},
pages = {53--68},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-42752-7},
year = {2023},
editor = {Catherine Dubois and Manfred Kerber},
refereed = {yes},
length = {16},
url = {https://doi.org/10.1007/978-3-031-42753-4_4}
}
author = {Mauricio Ayala-Rincón and Maribel Fernández and Gabriel Ferreira Silva and Temur Kutsia and and Daniele Nantes-Sobrinho},
title = {{Nominal AC-Matching}},
booktitle = {{Proceedings of the 16th International Conference on Intelligent Computer Mathematics, CICM 2023}},
language = {english},
series = {Lecture Notes in Aritificial Intelligence},
volume = {14101},
pages = {53--68},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-42752-7},
year = {2023},
editor = {Catherine Dubois and Manfred Kerber},
refereed = {yes},
length = {16},
url = {https://doi.org/10.1007/978-3-031-42753-4_4}
}
[Pau]
Enumerating All Maximal Clique-Partitions of an Undirected Graph
Mircea Marin, Temur Kutsia, Cleo Pau, Mikheil Rukhaia
In: Proceedings 7th Symposium on Working Formal Methods, FROM 2023, Horatiu Cheval, Laurentiu Leustean, and Andrei Sipos (ed.), pp. 65-79. 2023. [doi]@inproceedings{RISC6882,
author = {Mircea Marin and Temur Kutsia and Cleo Pau and Mikheil Rukhaia},
title = {{Enumerating All Maximal Clique-Partitions of an Undirected Graph}},
booktitle = {{Proceedings 7th Symposium on Working Formal Methods, FROM 2023}},
language = {english},
pages = {65--79},
isbn_issn = { },
year = {2023},
editor = {Horatiu Cheval and Laurentiu Leustean and and Andrei Sipos},
refereed = {yes},
length = {15},
url = {https://doi.org/10.4204/EPTCS.389.6}
}
author = {Mircea Marin and Temur Kutsia and Cleo Pau and Mikheil Rukhaia},
title = {{Enumerating All Maximal Clique-Partitions of an Undirected Graph}},
booktitle = {{Proceedings 7th Symposium on Working Formal Methods, FROM 2023}},
language = {english},
pages = {65--79},
isbn_issn = { },
year = {2023},
editor = {Horatiu Cheval and Laurentiu Leustean and and Andrei Sipos},
refereed = {yes},
length = {15},
url = {https://doi.org/10.4204/EPTCS.389.6}
}
2022
[Kutsia]
Work-in-progress papers presented at the 15th Conference on Intelligent Computer Mathematics, CICM 2022 (Informal Proceedings)
Kevin Buzzard and Temur Kutsia
, 2022. [url] [pdf]@techreport{RISC6584,
author = {Kevin Buzzard and Temur Kutsia},
title = {{Work-in-progress papers presented at the 15th Conference on Intelligent Computer Mathematics, CICM 2022 (Informal Proceedings)}},
language = {english},
year = {2022},
institution = { },
length = {77},
url = {https://cicm-conference.org/2022/cicm.php}
}
author = {Kevin Buzzard and Temur Kutsia},
title = {{Work-in-progress papers presented at the 15th Conference on Intelligent Computer Mathematics, CICM 2022 (Informal Proceedings)}},
language = {english},
year = {2022},
institution = { },
length = {77},
url = {https://cicm-conference.org/2022/cicm.php}
}
[Pau]
A framework for approximate generalization in quantitative theories
Temur Kutsia, Cleo Pau
Technical report no. 22-04 in RISC Report Series, Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, Austria. ISSN 2791-4267 (online). May 2022. Licensed under CC BY 4.0 International. [doi] [pdf]@techreport{RISC6505,
author = {Temur Kutsia and Cleo Pau},
title = {{A framework for approximate generalization in quantitative theories}},
language = {english},
abstract = {Anti-unification aims at computing generalizations for given terms, retaining their common structure and abstracting differences by variables. We study quantitative anti-unification where the notion of the common structure is relaxed into "proximal'' up to the given degree with respect to the given fuzzy proximity relation. Proximal symbols may have different names and arities. We develop a generic set of rules for computing minimal complete sets of approximate generalizations and study their properties. Depending on the characterizations of proximities between symbols and the desired forms of solutions, these rules give rise to different versions of concrete algorithms.},
number = {22-04},
year = {2022},
month = {May},
keywords = {Generalization, anti-unification, quantiative theories, fuzzy proximity relations},
length = {22},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
author = {Temur Kutsia and Cleo Pau},
title = {{A framework for approximate generalization in quantitative theories}},
language = {english},
abstract = {Anti-unification aims at computing generalizations for given terms, retaining their common structure and abstracting differences by variables. We study quantitative anti-unification where the notion of the common structure is relaxed into "proximal'' up to the given degree with respect to the given fuzzy proximity relation. Proximal symbols may have different names and arities. We develop a generic set of rules for computing minimal complete sets of approximate generalizations and study their properties. Depending on the characterizations of proximities between symbols and the desired forms of solutions, these rules give rise to different versions of concrete algorithms.},
number = {22-04},
year = {2022},
month = {May},
keywords = {Generalization, anti-unification, quantiative theories, fuzzy proximity relations},
length = {22},
license = {CC BY 4.0 International},
type = {RISC Report Series},
institution = {Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz},
address = {Altenberger Straße 69, 4040 Linz, Austria},
issn = {2791-4267 (online)}
}
[Pau]
A Framework for Approximate Generalization in Quantitative Theories
Temur Kutsia and Cleo Pau
In: Automated Reasoning, Jasmin Blanchette, Laura Kovács, and Dirk Pattinson (ed.), Proceedings of 11th International Joint Conference, IJCAR 2022, Haifa, Israel, August 8-10, 2022, Lecture Notes in Artificial Intelligence 13385, pp. 578-596. 2022. Springer, ISBN 978-3-031-10768-9. [doi]@inproceedings{RISC6631,
author = {Temur Kutsia and Cleo Pau},
title = {{A Framework for Approximate Generalization in Quantitative Theories}},
booktitle = {{Automated Reasoning}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {13385},
pages = {578--596},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-10768-9},
year = {2022},
editor = {Jasmin Blanchette and Laura Kovács and and Dirk Pattinson},
refereed = {yes},
sponsor = {FWF},
length = {19},
conferencename = {11th International Joint Conference, IJCAR 2022, Haifa, Israel, August 8-10, 2022},
url = {https://doi.org/10.1007/978-3-031-10769-6}
}
author = {Temur Kutsia and Cleo Pau},
title = {{A Framework for Approximate Generalization in Quantitative Theories}},
booktitle = {{Automated Reasoning}},
language = {english},
series = {Lecture Notes in Artificial Intelligence},
volume = {13385},
pages = {578--596},
publisher = {Springer},
isbn_issn = {ISBN 978-3-031-10768-9},
year = {2022},
editor = {Jasmin Blanchette and Laura Kovács and and Dirk Pattinson},
refereed = {yes},
sponsor = {FWF},
length = {19},
conferencename = {11th International Joint Conference, IJCAR 2022, Haifa, Israel, August 8-10, 2022},
url = {https://doi.org/10.1007/978-3-031-10769-6}
}
