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In process mining, alignments quantify the degree of deviation between an observed event trace and a business process model and constitute the most important conformance checking technique. We study the algorithmic complexity of computing…

Formal Languages and Automata Theory · Computer Science 2026-03-06 Christopher T. Schwanen , Wied Pakusa , Wil M. P. van der Aalst

In order to represent the preferences of a group of individuals, we introduce Probabilistic CP-nets (PCP-nets). PCP-nets provide a compact language for representing probability distributions over preference orderings. We argue that they are…

Artificial Intelligence · Computer Science 2013-09-27 Damien Bigot , Bruno Zanuttini , Helene Fargier , Jerome Mengin

Reversible computation is an unconventional form of computing that extends the standard forward-only mode of computation with the ability to execute a sequence of operations in reverse at any point during computation. As such, in this…

Logic in Computer Science · Computer Science 2021-01-19 Kyriaki Psara

The coverability problem for Petri nets plays a central role in the verification of concurrent shared-memory programs. However, its high EXPSPACE-complete complexity poses a challenge when encountered in real-world instances. In this paper,…

Logic in Computer Science · Computer Science 2017-03-24 Michael Blondin , Alain Finkel , Christoph Haase , Serge Haddad

Plans often change due to changes in the situation or our understanding of the situation. Sometimes, a feasible plan may not even exist, and identifying such infeasibilities is useful to determine when requirements need adjustment. Common…

Artificial Intelligence · Computer Science 2026-02-26 Nguyen Cong Nhat Le , John G. Rogers , Claire N. Bonial , Neil T. Dantam

We study the underlying mathematical properties of various partial order models of concurrency based on transition systems, Petri nets, and event structures, and show that the concurrent behaviour of these systems can be captured in a…

Logic in Computer Science · Computer Science 2010-11-05 Julian Gutierrez

We introduce negotiations, a model of concurrency close to Petri nets, with multiparty negotiation as primitive. We study the problems of soundness of negotiations and of, given a negotiation with possibly many steps, computing a summary,…

Logic in Computer Science · Computer Science 2013-07-09 Javier Esparza , Joerg Desel

We investigate bisimulation equivalence on Petri nets under durational semantics. Our motivation was to verify the conjecture that in durational setting, the bisimulation equivalence checking problem becomes more tractable than in ordinary…

Computational Complexity · Computer Science 2015-06-29 Slawomir Lasota , Marcin Poturalski

In Petri net synthesis we ask whether a given transition system $A$ can be implemented by a Petri net $N$. Depending on the level of accuracy, there are three ways how $N$ can implement $A$: an embedding, the least accurate implementation,…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

To interpret uncertainty estimates from differentiable probabilistic models, recent work has proposed generating Counterfactual Latent Uncertainty Explanations (CLUEs). However, for a single input, such approaches could output a variety of…

Machine Learning · Computer Science 2021-12-06 Dan Ley , Umang Bhatt , Adrian Weller

A Petri net is choice-free if any place has at most one transition in its postset (consuming its tokens) and it is (extended) free-choice (EFC) if the postsets of any two places are either equal or disjoint. Asymmetric choice (AC) extends…

Formal Languages and Automata Theory · Computer Science 2019-11-25 Harro Wimmel

Hierarchical Petri nets allow a more abstract view and reconfigurable Petri nets model dynamic structural adaptation. In this contribution we present the combination of reconfigurable Petri nets and hierarchical Petri nets yielding…

Discrete Mathematics · Computer Science 2018-02-14 Julia Padberg

We try to clarify the relationship between interleaving concurrency and true concurrency, based on the very recent work on truly concurrent process algebra, especially, giving models of true concurrency, such as event structure, Petri net…

Logic in Computer Science · Computer Science 2023-08-25 Yong Wang

We define a new method for taking advantage of net reductions in combination with a SMT-based model checker. Our approach consists in transforming a reachability problem about some Petri net, into the verification of an updated reachability…

Logic in Computer Science · Computer Science 2023-06-22 Nicolas Amat , Bernard Berthomieu , Silvano Dal Zilio

Place/Transition Petri nets with inhibitor arcs (PTI nets for short), which are a well-known Turing-complete, distributed model of computation, are equipped with a decidable, behavioral equivalence, called pti-place bisimilarity, that…

Logic in Computer Science · Computer Science 2022-11-03 Arnaldo Cesco , Roberto Gorrieri

Confusing classes that are ubiquitous in real world often degrade performance for many vision related applications like object detection, classification, and segmentation. The confusion errors are not only caused by similar visual patterns…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Qichuan Geng , Xinyu Huang , Zhong Zhou , Ruigang Yang

We present a concurrent operational Petri net semantics for the join-calculus, a process calculus for specifying concurrent and distributed systems. There often is a gap between system specifications and the actual implementations caused by…

Logic in Computer Science · Computer Science 2012-08-15 Stephan Mennicke

We consider approaches for causal semantics of Petri nets, explicitly representing dependencies between transition occurrences. For one-safe nets or condition/event-systems, the notion of process as defined by Carl Adam Petri provides a…

Logic in Computer Science · Computer Science 2021-03-02 Rob van Glabbeek , Ursula Goltz , Jens-Wolfhard Schicke

The management of uncertainty in expert systems has usually been left to ad hoc representations and rules of combinations lacking either a sound theory or clear semantics. The objective of this paper is to establish a theoretical basis for…

Artificial Intelligence · Computer Science 2013-04-15 Piero P. Bonissone , Keith S. Decker

Petri nets provide accurate analogues to chemical reaction networks, with places representing individual molecules (the resources of the system) and transitions representing chemical reactions which convert educt molecules into product…

Discrete Mathematics · Computer Science 2025-09-03 Addie Jordon , Juri Kolčák , Daniel Merkle