"A central feature of the λμμ˜-calculus is the treatment of evaluation contexts as first-class objects, which plays a significant role in term evaluation."
"When evaluating the term (⌜2⌝ ∗ ⌜3⌝) ∗ ⌜4⌝, the evaluation context □ ∗ ⌜4⌝ is used to obtain intermediate results before reaching the final value."
In the λμμ˜-calculus, evaluation contexts are treated as first-class objects, impacting how terms are evaluated. For instance, the evaluation of the term (⌜2⌝ ∗ ⌜3⌝) ∗ ⌜4⌝ demonstrates using an evaluation context to handle subterms before arriving at the final result. The step-by-step evaluation shows how the abstraction and application process works within this calculus. The first-class status of evaluation contexts allows for direct correspondence in Core, enhancing the flexibility and efficiency of term evaluation.
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