Relational semantics refines the contextual preorder on lambda terms by constraining interaction counts through a checkers-calculus interpretation.
The last rule of the derivation must bemany: (πi ▷Γ i, x:M i ⊢li t:L i)i∈I ⊎i∈I Γi, x:M⊢ P i∈I li t: [Li]i∈I many withM=⊎ i∈I Mi andk= P i∈I li and⊎ i∈I Γi =Γ
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Interaction Improvement
Relational semantics refines the contextual preorder on lambda terms by constraining interaction counts through a checkers-calculus interpretation.