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Canonicity for Cost-Aware Logical Framework via Synthetic Tait Computability

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arxiv 2504.12464 v1 pith:64V4IGIQ submitted 2025-04-16 cs.PL cs.LO

Canonicity for Cost-Aware Logical Framework via Synthetic Tait Computability

classification cs.PL cs.LO
keywords canonicitycomputabilitycost-awareframeworklogicalsynthetictaitwork
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In the original work on the cost-aware logical framework by Niu et al., a dependent variant of the call-by-push-value language for cost analysis, the authors conjectured that the canonicity property of the type theory can be succinctly proved via Sterling's synthetic Tait computability. This work resolves the conjecture affirmatively.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Potential Functions as Types

    cs.PL 2026-07 accept novelty 7.5 partial

    Fracture-and-gluing equips every Calf computation type with an abstraction-plus-potential homomorphism so programs conserve potential and preserve abstraction; credits/debits and Giralf enable banker's-view programmin...

  2. Directed proof-relevant logical relations in simplicial HoTT

    cs.LO 2026-07 accept novelty 7.5 partial

    Contravariant families in simplicial HoTT supply proof-relevant expansion, yielding directed Boolean canonicity and a binary parametricity model over reduction-aware syntax.

  3. Potential Functions as Types

    cs.PL 2026-07 accept novelty 7.0 partial

    Every Calf type fuses an abstraction function with a potential function via fracture-and-gluing, so programs conserve potential and preserve abstraction; Giralf then enables automated credit-based inference.