Approximate Completed Trace Equivalence of Inhomogeneous Linear Transition Systems

2012 ◽  
Vol 4 (8) ◽  
pp. 58-66 ◽  
Author(s):  
Hao Yang ◽  
Jinzhao Wu ◽  
Zhiwei Zhang
Keyword(s):  
Transition Systems ◽  
Trace Equivalence

scholarly journals A coalgebraic view on decorated traces

2014 ◽  
Vol 26 (7) ◽  
pp. 1234-1268 ◽  
Author(s):  
F. BONCHI ◽  
M. BONSANGUE ◽  
G. CALTAIS ◽  
J. RUTTEN ◽  
A. SILVA
Keyword(s):  
Transition Systems ◽  
Labelled Transition Systems ◽  
Probabilistic Systems ◽  
Concurrency Theory ◽  
Different Types ◽  
Trace Semantics ◽  
Moore Automata ◽  
Trace Equivalence

In the concurrency theory, various semantic equivalences on transition systems are based on traces decorated with some additional observations, generally referred to as decorated traces. Using the generalized powerset construction, recently introduced by a subset of the authors (Silva et al.2010 FSTTCS. LIPIcs8 272–283), we give a coalgebraic presentation of decorated trace semantics. The latter include ready, failure, (complete) trace, possible futures, ready trace and failure trace semantics for labelled transition systems, and ready, (maximal) failure and (maximal) trace semantics for generative probabilistic systems. This yields a uniform notion of minimal representatives for the various decorated trace equivalences, in terms of final Moore automata. As a consequence, proofs of decorated trace equivalence can be given by coinduction, using different types of (Moore-) bisimulation (up-to context).

On Some Equivalence Relations for Probabilistic Processes1

1992 ◽  
Vol 17 (3) ◽  
pp. 211-234
Author(s):  
Dung T. Huynh ◽  
Lu Tian
Keyword(s):  
Polynomial Time ◽  
Graph Isomorphism ◽  
Polynomial Time Algorithm ◽  
Time Algorithm ◽  
Isomorphism Problem ◽  
Equivalence Relations ◽  
Transition Systems ◽  
Bisimulation Equivalence ◽  
Finite Trace ◽  
Trace Equivalence

In this paper, we investigate several equivalence relations for probabilistic labeled transition systems: bisimulation equivalence, readiness equivalence, failure equivalence, trace equivalence, maximal trace equivalence and finite trace equivalence. We formally prove the inclusions (equalities) among these equivalences. We also show that readiness, failure, trace, maximum trace and finite trace equivalences for finite probabilistic labeled transition systems are decidable in polynomial time. This should be contrasted with the PSPACE completeness of the same equivalences for classical labeled transition systems. Moreover, we derive an efficient polynomial time algorithm for deciding bisimulation equivalence for finite probabilistic labeled transition systems. The special case of initiated probabilistic transition systems will be considered. We show that the isomorphism problem for finite initiated labeled probabilistic transition systems is NC(1) equivalent to graph isomorphism.

Neural Transition Systems for Modeling Hierarchical Semantic Representations

2019 ◽  
Author(s):  
Riyaz Bhat ◽  
John Chen ◽  
Rashmi Prasad ◽  
Srinivas Bangalore
Keyword(s):  
Semantic Representations ◽  
Transition Systems

scholarly journals Battery transition systems

2014 ◽  
Vol 49 (1) ◽  
pp. 595-606 ◽  
Author(s):  
Udi Boker ◽  
Thomas A. Henzinger ◽  
Arjun Radhakrishna
Keyword(s):  
Transition Systems

The Complexity of Model-Checking Tail-Recursive Higher-Order Fixpoint Logic

2021 ◽  
Vol 178 (1-2) ◽  
pp. 1-30
Author(s):  
Florian Bruse ◽  
Martin Lange ◽  
Etienne Lozes
Keyword(s):  
Model Checking ◽  
Lower Bounds ◽  
Expressive Power ◽  
Higher Order ◽  
Order Logic ◽  
High Complexity ◽  
Transition Systems ◽  
Recursive Formulas ◽  
Second Order Logic ◽  
Monadic Second Order Logic

Higher-Order Fixpoint Logic (HFL) is a modal specification language whose expressive power reaches far beyond that of Monadic Second-Order Logic, achieved through an incorporation of a typed λ-calculus into the modal μ-calculus. Its model checking problem on finite transition systems is decidable, albeit of high complexity, namely k-EXPTIME-complete for formulas that use functions of type order at most k < 0. In this paper we present a fragment with a presumably easier model checking problem. We show that so-called tail-recursive formulas of type order k can be model checked in (k − 1)-EXPSPACE, and also give matching lower bounds. This yields generic results for the complexity of bisimulation-invariant non-regular properties, as these can typically be defined in HFL.

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