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Nested Timed Automata [chapter]

Guoqiang Li, Xiaojuan Cai, Mizuhito Ogawa, Shoji Yuen
2013 Lecture Notes in Computer Science  
This paper proposes a new timed model named nested timed automata (NeTAs). An NeTA is a pushdown system whose stack symbols are timed automata (TAs).  ...  NeTAs provide a natural way to analyze the recursive behaviors of component-based timed systems with structure retained. We illustrate this advantage by the deadline analysis of nested interrupts.  ...  Nondeterministic clock updates are also taken from [7] with interval tests as diagonal free time constraints where decidability results are not affected. Definition 1 (Timed Automata).  ... 
doi:10.1007/978-3-642-40229-6_12 fatcat:efmxojlgf5aufik72isdu4z6de

Formalized Timed Automata [chapter]

Simon Wimmer
2016 Lecture Notes in Computer Science  
the common approximation operation correctly decides emptiness for the class of diagonal-free timed automata.  ...  Timed automata are a widely used formalism for modeling real-time systems, which is employed in a class of successful model checkers such as UPPAAL.  ...  Section 2 will present the formalization of the basic notions for diagonal-free timed automata.  ... 
doi:10.1007/978-3-319-43144-4_26 fatcat:ns23wsetjnbyxki553hyjwk3ou

Updatable timed automata with one updatable clock

Guoqiang Li, Yunqing Wen, Shoji Yuen
2017 Science China Information Sciences  
We will show that (1) the reachability of general UTAs with one updatable clock (UTA1s) is still undecidable, and (2) that of UTA1s under diagonal-free constraints is decidable, and the complexity is Pspace-complete  ...  Updatable timed automata (UTAs) proposed by Bouyer, is an extension of timed automata (TAs) having the extra ability to update clocks in a more elaborate way than simply reset them to zero.  ...  Nested timed automata (NeTAs) [11, 20, 30] extended TAs with recursive structure in a different way.  ... 
doi:10.1007/s11432-016-9027-y fatcat:yynkopatfvhxfiqain4iggxsry

Transient induced global response synchronization

William Sulis
2016 International Journal of Design & Nature and Ecodynamics  
This paper reviews the notion of TIGoRS and its expression in several complex systems models including driven cellular automata, cocktail party and dispositional cellular automata.  ...  This occurs even though the underlying system dynamics is time varying and inhomogeneous across the system. Previous work has shown that TIGoRS is a ubiquitous phenomenon among complex systems.  ...  The initial rules were 7 (diagonal), 14 (diagonal), 37 (vertical), 40 (uniform), 41 (complex), 43 (diagonal), 44 (fixed), 45 (chaotic).  ... 
doi:10.2495/dne-v11-n4-712-721 fatcat:xt5u7qrebbhebn7gle3orrxj2q

Fast zone-based algorithms for reachability in pushdown timed automata [article]

S. Akshay, Paul Gastin, Karthik R Prakash
2021 arXiv   pre-print
One extension that has received a lot of interest is timed automata with a, possibly unbounded, stack, also called the pushdown timed automata (PDTA) model.  ...  Given the versatility of timed automata a huge body of work has evolved that considers extensions of timed automata.  ...  [16] for timed automata with diagonal constraints.  ... 
arXiv:2105.13683v2 fatcat:7sx2qa2asrh7fmud4fzjrpevwi

Analyzing Timed Systems Using Tree Automata [article]

S. Akshay, Paul Gastin, Shankara Narayanan Krishna
2017 arXiv   pre-print
The main idea is to consider timed behaviors as graphs with matching edges capturing timing constraints.  ...  The classical region abstraction for timed automata reduces them to (untimed) finite state automata with the same time-abstract properties, such as state reachability.  ...  For a constraint x − y ∈ [1, 5], we add an edge between the last reset of x and last reset of y with [1, 5] interval. Thus, we can check the diagonal constraint at the time of last reset.  ... 
arXiv:1604.08443v3 fatcat:hsgq6ornprah3hl6h34jac65aa

Automatic Decomposition of Petri Nets into Automata Networks – A Synthetic Account [chapter]

Pierre Bouvier, Hubert Garavel, Hernán Ponce-de-León
2020 Lecture Notes in Computer Science  
This article revisits the problem of decomposing a Petri net into a network of automata, a problem that has been around since the early 70s.  ...  We reformulate this problem as the transformation of an ordinary, one-safe Petri net into a flat, unit-safe NUPN (Nested-Unit Petri Net) and define a quality criterion based on the number of bits required  ...  The determination of idle and permanent units is done in linear time, with a simple iteration that examines the pre-set and post-set of each transition.  ... 
doi:10.1007/978-3-030-51831-8_1 fatcat:bvqqmr2dkfhutjjdavq2yluoha

Computing Maximal Expected Termination Time of Probabilistic Timed Automata [article]

Omar Al-Bataineh, Michael Fisher, David Rosenblum
2018 arXiv   pre-print
The paper addresses the problem of computing maximal expected time to termination of probabilistic timed automata (PTA) models, under the condition that the system will, eventually, terminate.  ...  Second, it can bring the "worst case execution time" problem of PTAs within the bounds of feasibility for model checking techniques.  ...  Then the diagonal constraints involving z 1 and z 2 can be updated as follows.  ... 
arXiv:1709.07171v8 fatcat:knv43dvf5ranbg764cghsh2shq

Verification and Control of Partially Observable Probabilistic Real-Time Systems [chapter]

Gethin Norman, David Parker, Xueyi Zou
2015 Lecture Notes in Computer Science  
To formally model such systems, we define an extension of probabilistic timed automata in which local states are partially visible to an observer or controller.  ...  We propose automated techniques for the verification and control of probabilistic real-time systems that are only partially observable.  ...  Partially Observable Probabilistic Timed Automata In this section, we define partially observable probabilistic timed automata (POP-TAs), which generalise the existing model of probabilistic timed automata  ... 
doi:10.1007/978-3-319-22975-1_16 fatcat:doe2lmfqljd7johgaubc4xfi3q

Timed Systems through the Lens of Logic [article]

S. Akshay, Paul Gastin, Vincent Juge, Shankara Narayanan Krishna
2019 arXiv   pre-print
We start by describing behaviors of timed systems using graphs with timing constraints.  ...  Such a graph is called realizable if we can assign time-stamps to nodes or events so that they are consistent with the timing constraints.  ...  For instance, consider diagonal guards in timed automata, which are expressively equivalent to timed automata without diagonal guards.  ... 
arXiv:1903.03773v2 fatcat:qzanusy5grhflmzmlm2oyw6nii

An Over-Approximation Forward Analysis for Nested Timed Automata [chapter]

Yunqing Wen, Guoqiang Li, Shoji Yuen
2015 Lecture Notes in Computer Science  
Nested timed automata(NeTAs), proposed by Li et al., are a pushdown system whose stack symbols are timed automata (TAs).  ...  With this formal models, we can model and analyze complex real-time frameworks with recursive context switches.  ...  Nested Timed Automata Definition 7 (Nested Timed automata).  ... 
doi:10.1007/978-3-319-17404-4_5 fatcat:vc7undjfcbe5xfzxhbmwuf3zyq

Model-Based Verification, Optimization, Synthesis and Performance Evaluation of Real-Time Systems [chapter]

Uli Fahrenberg, Kim G. Larsen, Axel Legay
2013 Lecture Notes in Computer Science  
The paper gives comprehensive definitions of timed automata, priced (or weighted) timed automata, and timed games and highlights a number of results on associated decision problems related to model checking  ...  This article aims at providing a concise and precise Travellers Guide, Phrase Book or Reference Manual to the timed automata modeling formalism introduced by Alur and Dill [8, 9] .  ...  For additional modelling power, timed automata with diagonal constraints can be used, as it is shown in [9, 29] that any such automaton can be converted to a diagonal-free one; however the conversion  ... 
doi:10.1007/978-3-642-39721-9_2 fatcat:7x75bth3arcfxahcrd6tex5wbm

Mining Ecological Data with Cellular Automata [chapter]

Alexander Campbell, Binh Pham, Yu-Chu Tian
2004 Lecture Notes in Computer Science  
This paper introduces a Cellular Automata (CA) approach to spatiotemporal data mining (STDM).  ...  The problem of predicting wading-bird nest site locations in ecological data is used throughout to illustrate the concepts, and provides the framework for experimental analysis.  ...  This project is supported by an Australian Research Council Linkage grant in collaboration with the Built Environment Research Unit (BERU), Queensland Department of Public Works.  ... 
doi:10.1007/978-3-540-30479-1_49 fatcat:vhlmnkjnvnbzljvair477iz2si

Deterministic planning in the fifth international planning competition: PDDL3 and experimental evaluation of the planners

Alfonso E. Gerevini, Patrik Haslum, Derek Long, Alessandro Saetti, Yannis Dimopoulos
2009 Artificial Intelligence  
high quality plans in metric-time domains and domains involving soft goals or constraints.  ...  ; and we evaluate them in terms of their capability of dealing with soft goals and constraints, and of finding good quality plans in general.  ...  Because modalities are not nested, the number of states and transitions in the automaton corresponding to a single basic constraint is bounded by a constant (assuming automata corresponding to constraints  ... 
doi:10.1016/j.artint.2008.10.012 fatcat:nnm56wydxvemljdamo7anawx3e

Model checking for probabilistic timed automata

Gethin Norman, David Parker, Jeremy Sproston
2012 Formal methods in system design  
Probabilistic timed automata (PTAs) are a formalism for modelling systems whose behaviour incorporates both probabilistic and real-time characteristics.  ...  Embedded systems, for example, whether in communication and multimedia devices or in automotive and avionic control systems, often operate under timing constraints.  ...  Any PTA can be transformed into one containing only diagonal-free constraints by applying the construction of [15] (the construction is presented for timed automata, and requires minor modifications  ... 
doi:10.1007/s10703-012-0177-x fatcat:3drcwvmdprgexn5n5q2dy4j7je
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