This course introduces methods to utilize abstraction and partial order methods to reduce the complexity of their systems models. The equivalences introduced are based upon bisimulation and simulation relations. These concepts allow one to prove that a model is an abstraction (or simplification) of another model of the same system. Abstraction reduces the complexity of the system model while preserving the ability to correctly verify properties of the system. This course will also introduce the partial order method to further reduce model complexity during verification by enabling the state space exploration to not need to consider all possible interleavings of concurrent events. This approach often provides substantial reductions in the state space of the model being verified.

Equivalences, Abstraction, and Partial Order Reduction

Equivalences, Abstraction, and Partial Order Reduction
This course is part of Fundamentals of Model Checking Specialization

Instructor: Chris Myers
Included with
Recommended experience
What you'll learn
Explain and analyze equivalences of transition system models based on bisimulation
Explain and compare equivalences of transition system models based on simulation relations
Apply bisimulation and simulation relations to construct and justify abstractions of transition systems
Analyze independence of concurrent actions and apply this information to perform partial order reductions
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December 2025
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University of Colorado Boulder

University of Colorado Boulder
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University of Colorado Boulder
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