Linear / Resource-Sensitive Logic Challenge
F10
foundations logic
foundations logic
τ response: Further investigation
External: philosophical foundational debate
Verification: pending external review
Current τ response to the Linear / Resource-Sensitive Logic Challenge challenge.
Structural Challenge
This response is paired with its canonical Structural Challenge:
Linear / Resource-Sensitive Logic Challenge
(F10) in the
Mathematics Structural Challenge Ledger.
τ response
State whether τ has a resource discipline. Identify whether contraction, weakening, duplication, deletion, and modal recovery of ordinary logic are earned or assumed.
Evidence route
No canonical registry items currently mapped to this challenge. Mapping pending τ-native or further-investigation curation.
Notes
Verification
External-review boundary
Independent foundational/logical analysis of the τ position; comparison with established results in proof theory, set theory, and category theory.
Provenance
Status disclaimer
A Challenge Response reports the program's current internal stance against a canonical Structural Challenge. It does not imply external verification, scientific consensus, philosophical settlement, or final proof. Read it together with its evidence route, registry references, verification status, and external-review boundary.