Under various formats of Educational Assessment, what is the most subtle and logical distinction between 'Assessment as Learning' and 'Assessment for Learning'?

In the Continuous and Comprehensive Evaluation (CCE) system, 'Assessment for Learning' is a formative assessment where teachers identify students' gaps and provide corrective feedback. Conversely, in 'Assessment as Learning', students assess their own knowledge and learning process, which develops metacognitive abilities in them, making them self-assessors.