7 Search Results for "Sala, Pietro"


Document
Discovering Predictive Dependencies on Multi-Temporal Relations

Authors: Beatrice Amico, Carlo Combi, Romeo Rizzi, and Pietro Sala

Published in: LIPIcs, Volume 278, 30th International Symposium on Temporal Representation and Reasoning (TIME 2023)


Abstract
In this paper, we propose a methodology for deriving a new kind of approximate temporal functional dependencies, called Approximate Predictive Functional Dependencies (APFDs), based on a three-window framework and on a multi-temporal relational model. Different features are proposed for the Observation Window (OW), where we observe predictive data, for the Waiting Window (WW), and for the Prediction Window (PW), where the predicted event occurs. We then discuss the concept of approximation for such APFDs, introduce two new error measures. We prove that the problem of deriving APFDs is intractable. Moreover, we discuss some preliminary results in deriving APFDs from real clinical data using MIMIC III dataset, related to patients from Intensive Care Units.

Cite as

Beatrice Amico, Carlo Combi, Romeo Rizzi, and Pietro Sala. Discovering Predictive Dependencies on Multi-Temporal Relations. In 30th International Symposium on Temporal Representation and Reasoning (TIME 2023). Leibniz International Proceedings in Informatics (LIPIcs), Volume 278, pp. 4:1-4:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)


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@InProceedings{amico_et_al:LIPIcs.TIME.2023.4,
  author =	{Amico, Beatrice and Combi, Carlo and Rizzi, Romeo and Sala, Pietro},
  title =	{{Discovering Predictive Dependencies on Multi-Temporal Relations}},
  booktitle =	{30th International Symposium on Temporal Representation and Reasoning (TIME 2023)},
  pages =	{4:1--4:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-298-3},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{278},
  editor =	{Artikis, Alexander and Bruse, Florian and Hunsberger, Luke},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2023.4},
  URN =		{urn:nbn:de:0030-drops-190945},
  doi =		{10.4230/LIPIcs.TIME.2023.4},
  annote =	{Keywords: temporal databases, temporal data mining, functional dependencies}
}
Document
Pspace-Completeness of the Temporal Logic of Sub-Intervals and Suffixes

Authors: Laura Bozzelli, Angelo Montanari, Adriano Peron, and Pietro Sala

Published in: LIPIcs, Volume 206, 28th International Symposium on Temporal Representation and Reasoning (TIME 2021)


Abstract
In this paper, we establish Pspace-completeness of the finite satisfiability and model checking problems for the fragment of Halpern and Shoham interval logic with modality ⟨E⟩, for the "suffix" relation on pairs of intervals, and modality ⟨D⟩, for the "sub-interval" relation, under the homogeneity assumption. The result significantly improves the Expspace upper bound recently established for the same fragment, and proves the rather surprising fact that the complexity of the considered problems does not change when we add either the modality for suffixes (⟨E⟩) or, symmetrically, the modality for prefixes (⟨B⟩) to the logic of sub-intervals (featuring only ⟨D⟩).

Cite as

Laura Bozzelli, Angelo Montanari, Adriano Peron, and Pietro Sala. Pspace-Completeness of the Temporal Logic of Sub-Intervals and Suffixes. In 28th International Symposium on Temporal Representation and Reasoning (TIME 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 206, pp. 9:1-9:19, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)


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@InProceedings{bozzelli_et_al:LIPIcs.TIME.2021.9,
  author =	{Bozzelli, Laura and Montanari, Angelo and Peron, Adriano and Sala, Pietro},
  title =	{{Pspace-Completeness of the Temporal Logic of Sub-Intervals and Suffixes}},
  booktitle =	{28th International Symposium on Temporal Representation and Reasoning (TIME 2021)},
  pages =	{9:1--9:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-206-8},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{206},
  editor =	{Combi, Carlo and Eder, Johann and Reynolds, Mark},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2021.9},
  URN =		{urn:nbn:de:0030-drops-147853},
  doi =		{10.4230/LIPIcs.TIME.2021.9},
  annote =	{Keywords: Interval temporal logic, Satisfiability, Model checking}
}
Document
On a Temporal Logic of Prefixes and Infixes

Authors: Laura Bozzelli, Angelo Montanari, Adriano Peron, and Pietro Sala

Published in: LIPIcs, Volume 170, 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)


Abstract
A classic result by Stockmeyer [Stockmeyer, 1974] gives a non-elementary lower bound to the emptiness problem for star-free generalized regular expressions. This result is intimately connected to the satisfiability problem for interval temporal logic, notably for formulas that make use of the so-called chop operator. Such an operator can indeed be interpreted as the inverse of the concatenation operation on regular languages, and this correspondence enables reductions between non-emptiness of star-free generalized regular expressions and satisfiability of formulas of the interval temporal logic of the chop operator under the homogeneity assumption [Halpern et al., 1983]. In this paper, we study the complexity of the satisfiability problem for a suitable weakening of the chop interval temporal logic, that can be equivalently viewed as a fragment of Halpern and Shoham interval logic featuring the operators B, for "begins", corresponding to the prefix relation on pairs of intervals, and D, for "during", corresponding to the infix relation. The homogeneous models of the considered logic naturally correspond to languages defined by restricted forms of regular expressions, that use union, complementation, and the inverses of the prefix and infix relations.

Cite as

Laura Bozzelli, Angelo Montanari, Adriano Peron, and Pietro Sala. On a Temporal Logic of Prefixes and Infixes. In 45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020). Leibniz International Proceedings in Informatics (LIPIcs), Volume 170, pp. 21:1-21:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2020)


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@InProceedings{bozzelli_et_al:LIPIcs.MFCS.2020.21,
  author =	{Bozzelli, Laura and Montanari, Angelo and Peron, Adriano and Sala, Pietro},
  title =	{{On a Temporal Logic of Prefixes and Infixes}},
  booktitle =	{45th International Symposium on Mathematical Foundations of Computer Science (MFCS 2020)},
  pages =	{21:1--21:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-159-7},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{170},
  editor =	{Esparza, Javier and Kr\'{a}l', Daniel},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.MFCS.2020.21},
  URN =		{urn:nbn:de:0030-drops-126898},
  doi =		{10.4230/LIPIcs.MFCS.2020.21},
  annote =	{Keywords: Interval Temporal Logic, Star-Free Regular Languages, Satisfiability, Complexity}
}
Document
Customizing BPMN Diagrams Using Timelines

Authors: Carlo Combi, Barbara Oliboni, and Pietro Sala

Published in: LIPIcs, Volume 147, 26th International Symposium on Temporal Representation and Reasoning (TIME 2019)


Abstract
BPMN (Business Process Model and Notation) is widely used standard modeling technique for representing Business Processes by using diagrams, but lacks in some aspects. Representing execution-dependent and time-dependent decisions in BPMN Diagrams may be a daunting challenge [Carlo Combi et al., 2017]. In many cases such constraints are omitted in order to preserve the simplicity and the readability of the process model. However, for purposes such as compliance checking, process mining, and verification, formalizing such constraints could be very useful. In this paper, we propose a novel approach for annotating BPMN Diagrams with Temporal Synchronization Rules borrowed from the timeline-based planning field. We discuss the expressivity of the proposed approach and show that it is able to capture a lot of complex temporally-related constraints without affecting the structure of BPMN diagrams. Finally, we provide a mapping from annotated BPMN diagrams to timeline-based planning problems that allows one to take advantage of the last twenty years of theoretical and practical developments in the field.

Cite as

Carlo Combi, Barbara Oliboni, and Pietro Sala. Customizing BPMN Diagrams Using Timelines. In 26th International Symposium on Temporal Representation and Reasoning (TIME 2019). Leibniz International Proceedings in Informatics (LIPIcs), Volume 147, pp. 5:1-5:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2019)


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@InProceedings{combi_et_al:LIPIcs.TIME.2019.5,
  author =	{Combi, Carlo and Oliboni, Barbara and Sala, Pietro},
  title =	{{Customizing BPMN Diagrams Using Timelines}},
  booktitle =	{26th International Symposium on Temporal Representation and Reasoning (TIME 2019)},
  pages =	{5:1--5:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-127-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{147},
  editor =	{Gamper, Johann and Pinchinat, Sophie and Sciavicco, Guido},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.TIME.2019.5},
  URN =		{urn:nbn:de:0030-drops-113630},
  doi =		{10.4230/LIPIcs.TIME.2019.5},
  annote =	{Keywords: Business Processes, BPMN, Timelines, Temporal Constraints}
}
Document
Satisfiability and Model Checking for the Logic of Sub-Intervals under the Homogeneity Assumption

Authors: Laura Bozzelli, Alberto Molinari, Angelo Montanari, Adriano Peron, and Pietro Sala

Published in: LIPIcs, Volume 80, 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)


Abstract
In this paper, we investigate the finite satisfiability and model checking problems for the logic D of the sub-interval relation under the homogeneity assumption, that constrains a proposition letter to hold over an interval if and only if it holds over all its points. First, we prove that the satisfiability problem for D, over finite linear orders, is PSPACE-complete; then, we show that its model checking problem, over finite Kripke structures, is PSPACE-complete as well.

Cite as

Laura Bozzelli, Alberto Molinari, Angelo Montanari, Adriano Peron, and Pietro Sala. Satisfiability and Model Checking for the Logic of Sub-Intervals under the Homogeneity Assumption. In 44th International Colloquium on Automata, Languages, and Programming (ICALP 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 80, pp. 120:1-120:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)


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@InProceedings{bozzelli_et_al:LIPIcs.ICALP.2017.120,
  author =	{Bozzelli, Laura and Molinari, Alberto and Montanari, Angelo and Peron, Adriano and Sala, Pietro},
  title =	{{Satisfiability and Model Checking for the Logic of Sub-Intervals under the Homogeneity Assumption}},
  booktitle =	{44th International Colloquium on Automata, Languages, and Programming (ICALP 2017)},
  pages =	{120:1--120:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-041-5},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{80},
  editor =	{Chatzigiannakis, Ioannis and Indyk, Piotr and Kuhn, Fabian and Muscholl, Anca},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ICALP.2017.120},
  URN =		{urn:nbn:de:0030-drops-74703},
  doi =		{10.4230/LIPIcs.ICALP.2017.120},
  annote =	{Keywords: Interval Temporal Logic, Satisfiability, Model Checking, Decidability, Computational Complexity}
}
Document
Interval vs. Point Temporal Logic Model Checking: an Expressiveness Comparison

Authors: Laura Bozzelli, Alberto Molinari, Angelo Montanari, Adriano Peron, and Pietro Sala

Published in: LIPIcs, Volume 65, 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)


Abstract
Model checking is a powerful method widely explored in formal verification to check the (state-transition) model of a system against desired properties of its behaviour. Classically, properties are expressed by formulas of a temporal logic, such as LTL, CTL, and CTL*. These logics are "point-wise" interpreted, as they describe how the system evolves state-by-state. On the contrary, Halpern and Shoham's interval temporal logic (HS) is "interval-wise" interpreted, thus allowing one to naturally express properties of computation stretches, spanning a sequence of states, or properties involving temporal aggregations, which are inherently "interval-based". In this paper, we study the expressiveness of HS in model checking, in comparison with that of the standard logics LTL, CTL, and CTL*. To this end, we consider HS endowed with three semantic variants: the state-based semantics, introduced by Montanari et al., which allows branching in the past and in the future, the linear-past semantics, allowing branching only in the future, and the linear semantics, disallowing branching. These variants are compared, as for their expressiveness, among themselves and to standard temporal logics, getting a complete picture. In particular, HS with linear (resp., linear-past) semantics is proved to be equivalent to LTL (resp., finitary CTL*).

Cite as

Laura Bozzelli, Alberto Molinari, Angelo Montanari, Adriano Peron, and Pietro Sala. Interval vs. Point Temporal Logic Model Checking: an Expressiveness Comparison. In 36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 65, pp. 26:1-26:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)


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@InProceedings{bozzelli_et_al:LIPIcs.FSTTCS.2016.26,
  author =	{Bozzelli, Laura and Molinari, Alberto and Montanari, Angelo and Peron, Adriano and Sala, Pietro},
  title =	{{Interval vs. Point Temporal Logic Model Checking: an Expressiveness Comparison}},
  booktitle =	{36th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2016)},
  pages =	{26:1--26:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-027-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{65},
  editor =	{Lal, Akash and Akshay, S. and Saurabh, Saket and Sen, Sandeep},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2016.26},
  URN =		{urn:nbn:de:0030-drops-68615},
  doi =		{10.4230/LIPIcs.FSTTCS.2016.26},
  annote =	{Keywords: Interval Temporal Logics, Expressiveness, Model Checking}
}
Document
Decidability of the Interval Temporal Logic ABB over the Natural Numbers

Authors: Angelo Montanari, Gabriele Puppis, Pietro Sala, and Guido Sciavicco

Published in: LIPIcs, Volume 5, 27th International Symposium on Theoretical Aspects of Computer Science (2010)


Abstract
In this paper, we focus our attention on the interval temporal logic of the Allen's relations ``meets'', ``begins'', and ``begun by'' ($\ABB$ for short), interpreted over natural numbers. We first introduce the logic and we show that it is expressive enough to model distinctive interval properties, such as accomplishment conditions, to capture basic modalities of point-based temporal logic, such as the until operator, and to encode relevant metric constraints. Then, we prove that the satisfiability problem for $\ABB$ over natural numbers is decidable by providing a small model theorem based on an original contraction method. Finally, we prove the EXPSPACE-completeness of the problem.

Cite as

Angelo Montanari, Gabriele Puppis, Pietro Sala, and Guido Sciavicco. Decidability of the Interval Temporal Logic ABB over the Natural Numbers. In 27th International Symposium on Theoretical Aspects of Computer Science. Leibniz International Proceedings in Informatics (LIPIcs), Volume 5, pp. 597-608, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2010)


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@InProceedings{montanari_et_al:LIPIcs.STACS.2010.2488,
  author =	{Montanari, Angelo and Puppis, Gabriele and Sala, Pietro and Sciavicco, Guido},
  title =	{{Decidability of the Interval Temporal Logic ABB over the Natural Numbers}},
  booktitle =	{27th International Symposium on Theoretical Aspects of Computer Science},
  pages =	{597--608},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-16-3},
  ISSN =	{1868-8969},
  year =	{2010},
  volume =	{5},
  editor =	{Marion, Jean-Yves and Schwentick, Thomas},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.STACS.2010.2488},
  URN =		{urn:nbn:de:0030-drops-24884},
  doi =		{10.4230/LIPIcs.STACS.2010.2488},
  annote =	{Keywords: Interval temporal logics, compass structures, decidability, complexity}
}
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