Words / CONCEPT
Arithmetic Meaning of the Base Transducer
The f charges on accepted paths equal the signed-weight difference of the encoded rounded halves.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES3
PROOF DEPTH2
DOCUMENT LINKS1
Path charge is the exact signed-weight difference
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Arithmetic Meaning of the Signed-Digit Chargestructural-affinity · Closed
- Arithmetic Rigidity of a Marked Prefixstructural-affinity · Closed
- Class Preservation and Charge Monotonicitystructural-affinity · Closed
- Class Spacing of Transducer Outputsstructural-affinity · Closed
- Complete Lowest-Position Product Realizationstructural-affinity · Closed
- Complete Palindrome Cut Bit Relationstructural-affinity · Closed
- Complete Representation of Arithmetic Transducer Pathsstructural-affinity · Closed
- Concrete Period-Doubling Transducer Potentialsstructural-affinity · Closed
- Dyadic Splitting of Signed Weightstructural-affinity · Closed
- First Nonzero Digit Orderstructural-affinity · Closed
- Integer Potentials on Nondeterministic Runsstructural-affinity · Closed
- Lowest Signed Digit and Dyadic Valuationstructural-affinity · Closed
- Lowest Signed-Digit Position Certificatestructural-affinity · Closed
- Lowest-Position Monotonicitystructural-affinity · Closed
- Minimum Signed Digits from Triple Binary Differencesstructural-affinity · Closed
- Minimum Weight of Nonadjacent Signed Digitsstructural-affinity · Closed
- Signed Binary Weightstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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