scholarly journals Abstraction Refinement with Craig Interpolation and Symbolic Pushdown Systems1

2008 ◽  
Vol 5 (1-4) ◽  
pp. 27-56 ◽  
Author(s):  
Javier Esparza ◽  
Stefan Kiefer ◽  
Stefan Schwoon
Keyword(s):  
Abstraction Refinement ◽  
Craig Interpolation

scholarly journals Configurable verification of timed automata with discrete variables

2020 ◽  
Author(s):  
Tamás Tóth ◽  
István Majzik
Keyword(s):  
Timed Automata ◽  
Empirical Evaluation ◽  
Real Time Systems ◽  
Discrete Variables ◽  
Reachability Problem ◽  
Abstraction Refinement ◽  
Dependent Behavior ◽  
Wide Range ◽  
Time Systems ◽  
Lazy Abstraction

AbstractAlgorithms and protocols with time dependent behavior are often specified formally using timed automata. For practical real-time systems, besides real-valued clock variables, these specifications typically contain discrete data variables with nontrivial data flow. In this paper, we propose a configurable lazy abstraction framework for the location reachability problem of timed automata that potentially contain discrete variables. Moreover, based on our previous work, we uniformly formalize in our framework several abstraction refinement strategies for both clock and discrete variables that can be freely combined, resulting in many distinct algorithm configurations. Besides the proposed refinement strategies, the configurability of the framework allows the integration of existing efficient lazy abstraction algorithms for clock variables based on $${\textit{LU}}$$ LU -bounds. We demonstrate the applicability of the framework and the proposed refinement strategies by an empirical evaluation on a wide range of timed automata models, including ones that contain discrete variables or diagonal constraints.

scholarly journals Local abstraction refinement for probabilistic timed programs

2014 ◽  
Vol 538 ◽  
pp. 37-53 ◽  
Author(s):  
Klaus Dräger ◽  
Marta Kwiatkowska ◽  
David Parker ◽  
Hongyang Qu
Keyword(s):  
Abstraction Refinement
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