13,473 research outputs found
Five abstraction rules to remove transitions while preserving compositional synthesis results
This working paper investigates under which conditions transitions can be removed from an automaton while preserving important synthesis properties. The work is part of a framework for compositional synthesis of least restrictive controllable and nonblocking supervisors for modular discrete event systems. The method for transition removal complements previous results, which are largely focused on state merging. Issues concerning transition removal in synthesis are discussed, and redirection maps are introduced to enable a supervisor to process an event, even though the corresponding transition is no longer present in the model. Based on the results, different techniques are proposed to remove controllable and uncontrollable transitions, and an example shows the potential of the method for practical problems
Transition removal for compositional supervisor synthesis
This paper investigates under which conditions transitions can be removed from an automaton while preserving important synthesis properties. The work is part of a framework for compositional synthesis of least restrictive controllable and nonblocking supervisors for modular discrete event systems. The method for transition removal complements previous results, which are largely focused on state merging. Issues concerning transition removal in synthesis are discussed, and redirection maps are introduced to enable a supervisor to process an event, even though the corresponding transition is no longer present in the model. Based on the results, different techniques are proposed to remove controllable and uncontrollable transitions, and an example shows the potential of the method for practical problems
Modular nonblocking verification using conflict equivalence
This paper proposes a modular approach to verifying
whether a large discrete event system is nonconflicting.
The new approach avoids computing the synchronous
product of a large set of finite-state machines. Instead, the
synchronous product is computed gradually, and intermediate
results are simplified using conflict-preserving abstractions
based on process-algebraic results about fair testing. Heuristics
are used to choose between different possible abstractions.
Experimental results show that the method is applicable to
finite-state machine models of industrial scale and brings
considerable improvements in performance over other methods
Compositional nonblocking verification with always enabled events and selfloop-only events
This paper proposes to improve compositional nonblocking verification through the use of always enabled and selfloop-only events. Compositional verification involves abstraction to simplify parts of a system during verification. Normally, this abstraction is based on the set of events not used in the remainder of the system, i.e., in the part of the system not being simplified. Here, it is proposed to exploit more knowledge about the system and abstract events even though they are used in the remainder of the system. Abstraction rules from previous work are generalised, and experimental results demonstrate the applicability of the resulting algorithm to verify several industrial-scale discrete event system models, while achieving better state-space reduction than before
Three variations of observation equivalence preserving synthesis abstraction
In a previous paper we introduced the notion of synthesis abstraction, which allows efficient compositional synthesis of maximally permissive supervisors for large-scale systems of composed finite-state automata. In the current paper, observation equivalence is studied in relation to synthesis abstraction. It is shown that general observation equivalence is not useful for synthesis abstraction. Instead, we introduce additional conditions strengthening observation equivalence, so that it can be used with the compositional synthesis method. The paper concludes with an example showing the suitability of these relations to achieve substantial state reduction while computing a modular supervisor
`The frozen accident' as an evolutionary adaptation: A rate distortion theory perspective on the dynamics and symmetries of genetic coding mechanisms
We survey some interpretations and related issues concerning the frozen hypothesis due to F. Crick and how it can be explained in terms of several natural mechanisms involving error correction codes, spin glasses, symmetry breaking and the characteristic robustness of genetic networks. The approach to most of these questions involves using elements of Shannon's rate distortion theory incorporating a semantic system which is meaningful for the relevant alphabets and vocabulary implemented in transmission of the genetic code. We apply the fundamental homology between information source uncertainty with the free energy density of a thermodynamical system with respect to transcriptional regulators and the communication channels of sequence/structure in proteins. This leads to the suggestion that the frozen accident may have been a type of evolutionary adaptation
Conflict-preserving abstraction of discrete event systems using annotated automata
This paper proposes to enhance compositional verification of the nonblocking property of discrete event systems by introducing annotated automata. Annotations store nondeterministic branching information, which would otherwise be stored in extra states and transitions. This succinct representation makes it easier to simplify automata and enables new efficientmeans of abstraction, reducing the size of automata to be composed and thus the size of the synchronous product state space encountered in verification. The abstractions proposed are of polynomial complexity, and they have been successfully applied to model check the nonblocking property of the same set of large-scale industrial examples as used in related work
Phase transitions on C*-algebras from actions of congruence monoids on rings of algebraic integers
We compute the KMS (equilibrium) states for the canonical time evolution on
C*-algebras from actions of congruence monoids on rings of algebraic integers.
We show that for each , there is a unique KMS state, and
we prove that it is a factor state of type III. There is a phase transition
at For each , the set of extremal KMS
states decomposes as a disjoint union over a quotient of a ray class group in
which the fibers are extremal traces on certain group C*-algebras associated
with the ideal classes. Moreover, in most cases, there is a further phase
transition at in the sense that there are ground states that are
not KMS states. Our computation of KMS and ground states generalizes
the results of Cuntz, Deninger, and Laca for the full -semigroup over a
ring of integers, and our type classification generalizes a result of Laca and
Neshveyev in the case of the rational numbers and a result of Neshveyev in the
case of arbitrary number fields.Comment: Revised version, accepted for publication in Int. Math. Res. Not.
IMRN; 34 page
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