Contextual MetaML adds contextual modal types for type-safe handling of open code and proves the first full abstraction result for an imperative MetaML-style language via operational game semantics traces.
If any prefix of t′ contains at least as many (QB) actions as (A) actions, then by induction hypothesis we know that the number of (QB) actions in t′ is at most dep( #𝛾1 (𝑏) [𝜌])
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Contextual MetaML: Syntax and Full Abstraction
Contextual MetaML adds contextual modal types for type-safe handling of open code and proves the first full abstraction result for an imperative MetaML-style language via operational game semantics traces.