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The coarsest congruence for timed automata with deadlines contained in bisimulation
 In 16th International Conference on Concurrency Theory (CONCUR05
, 2005
"... Abstract. Delaying the synchronisation of actions may reveal some hidden behaviour that would not happen if the synchronisation would meet the speci¯ed deadlines. This precise phenomenon makes bisimulation fail to be a congruence for the parallel composition of timed automata with deadlines, a varia ..."
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Cited by 3 (3 self)
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variant of timed automata where time progress is controlled by deadlines imposed on each transition. This problem has been known and unsolved for several years. In this paper we give a characterisation of the coarsest congruence that is included in the bisimulation relation. In addition, a symbolic
A theory of timed automata
, 1999
"... Model checking is emerging as a practical tool for automated debugging of complex reactive systems such as embedded controllers and network protocols (see [23] for a survey). Traditional techniques for model checking do not admit an explicit modeling of time, and are thus, unsuitable for analysis of ..."
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Cited by 2651 (32 self)
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of realtime systems whose correctness depends on relative magnitudes of different delays. Consequently, timed automata [7] were introduced as a formal notation to model the behavior of realtime systems. Its definition provides a simple way to annotate statetransition graphs with timing constraints
Axiomatizing Timed Automata with Deadlines?
"... Abstract. It is known that the usual timed bisimulation fails to be a congruence for timed automata with deadlines – a variant of timed automata where component synchronization is delayable, and time progress is controlled by deadlines on transitions instead of invariants on locations. Recently, we ..."
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, we found the coarsest congruence relation that is included in timed bisimulation for timed automata with deadlines. In the present paper we provide an algebraic proof system for direct derivation of such relation by syntactic manipulation. We establish that the proof system is sound and complete. 1
Branching Time and Abstraction in Bisimulation Semantics
 Journal of the ACM
, 1996
"... Abstract. In comparative concurrency semantics, one usually distinguishes between linear time and branching time semantic equivalences. Milner’s notion of ohsen~ation equirlalence is often mentioned as the standard example of a branching time equivalence. In this paper we investigate whether observa ..."
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Cited by 322 (17 self)
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, in the sense that it preserves computations together with the potentials in all intermediate states that are passed through, even if silent moves are involved. On closed KSterms branching bisimulation congruence can be completely axiomatized by the single axiom scheme: a.(7.(y + z) + y) = a.(y + z) (where a
Symbolic Model Checking for Realtime Systems
 INFORMATION AND COMPUTATION
, 1992
"... We describe finitestate programs over realnumbered time in a guardedcommand language with realvalued clocks or, equivalently, as finite automata with realvalued clocks. Model checking answers the question which states of a realtime program satisfy a branchingtime specification (given in an ..."
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Cited by 574 (50 self)
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We describe finitestate programs over realnumbered time in a guardedcommand language with realvalued clocks or, equivalently, as finite automata with realvalued clocks. Model checking answers the question which states of a realtime program satisfy a branchingtime specification (given
Hybrid Automata: An Algorithmic Approach to the Specification and Verification of Hybrid Systems
, 1992
"... We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many of the examp ..."
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Cited by 460 (20 self)
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We introduce the framework of hybrid automata as a model and specification language for hybrid systems. Hybrid automata can be viewed as a generalization of timed automata, in which the behavior of variables is governed in each state by a set of differential equations. We show that many
From bisimulation to simulation: coarsest partition problems
 J. Automated Reasoning
, 2003
"... Abstract. The notions of bisimulation and simulation are used for graph reduction and are widely employed in many areas: modal logic, concurrency theory, set theory, formal verification, and so forth. In particular, in the context of formal verification they are used to tackle the socalled stateex ..."
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Cited by 32 (1 self)
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inexpensive in terms of either time or space. In this paper we first revisit the state of the art about bisimulation and simulation, pointing out the analogies and differences between the two problems. Then, we propose a generalization of the relational coarsest partition problem, which is equivalent
Bisimulation minimization of tree automata
 In Proc. 11th Int. Conf. Implementation and Application of Automata, volume 4094 of LNCS
, 2006
"... Abstract. We extend an algorithm by Paige and Tarjan that solves the coarsest stable refinement problem to the domain of trees. The algorithm is used to minimize nondeterministic tree automata (NTA) with respect to bisimulation. We show that our algorithm has an overall complexity of O(ˆr m log n), ..."
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Cited by 15 (9 self)
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Abstract. We extend an algorithm by Paige and Tarjan that solves the coarsest stable refinement problem to the domain of trees. The algorithm is used to minimize nondeterministic tree automata (NTA) with respect to bisimulation. We show that our algorithm has an overall complexity of O(ˆr m log n
Simulation as Coarsest Partition Problem
, 2002
"... The problem of determining the coarsest partition stable with respect to a given binary relation, is known to be equivalent to the problem of finding the maximal bisimulation on a given structure. Such an equivalence has suggested efficient algorithms for the computation of the maximal bisimulation ..."
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Cited by 4 (1 self)
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The problem of determining the coarsest partition stable with respect to a given binary relation, is known to be equivalent to the problem of finding the maximal bisimulation on a given structure. Such an equivalence has suggested efficient algorithms for the computation of the maximal bisimulation
Results 1  10
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3,186