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Pub. In: Proceedings of 6th International Conference on the Quantitative Evaluation of Systems (BEST '09), IEEE Computer Society Press, 2009 Generation of Counterexamples for Model Checking of Markov
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Identify the hypothesis or claim that you want to test: This could be a mathematical theorem, a scientific hypothesis, or any statement that you want to investigate.
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Test the claim against those conditions: Use logic, reasoning, and mathematical or scientific principles to evaluate the claim under the given conditions. Look for any contradictions, inconsistencies, or exceptions that might invalidate the claim.
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Present the counterexample: If you discover a case that contradicts the claim, document it clearly and explain how it refutes the initial hypothesis. Present any relevant data, calculations, or evidence to support your counterexample.

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Overall, anyone seeking to validate, refine, or challenge claims, theories, or conjectures can benefit from the generation of counterexamples. They serve as a powerful tool to promote critical thinking, improve understanding, and advance knowledge in various disciplines.

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