Defines Global Trace Condition for typed infinitary lambda terms ensuring strongly convergent reductions, with corollaries on numeral normalization and equivalence to total functions in System T.
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A tabling operational semantics on weak-head reduction for pure λ-calculus produces sound finite cyclic graphs for finite-state terms while preserving lazy meaning and enabling automatic memoization.
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Cyclic Graphs and Memoization in Pure $\lambda$-Calculus
A tabling operational semantics on weak-head reduction for pure λ-calculus produces sound finite cyclic graphs for finite-state terms while preserving lazy meaning and enabling automatic memoization.