Circle

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Contents

• Full source completion from one actual opposite pair
• Physical cyclic binary runs
• Paired completion from actual occurrence counts
• The native crossing label supplies the bridge
• A crossing anchor orders both negative gates
• Binary quotient separation and labelled two-run prefixes
• Coupled allocation from least-fresh ownership
• Reset decomposition of arbitrary legal words
• Physical multiplicities and low-denomination budgets
• The native repeated one-bit source and its exact strip
• Realizing allocated coins as actual legal reset words
• Even expanding paths in the original centered source
• Complete SMALL-batch physical exchange
• First negative omission and actual inverse-parent exchanges
• An unbounded obstruction forces mixed SMALL/LARGE insertion
• FourNegative
• Physical positive supply and the four-negative obstruction
• Fresh pair exchange retaining the entire old tail
• Exact attained width for geometric circle sources
• Restricted halfpower source rigidity
• Isolated SMALL labels with no bound on their number
• Whole-suffix boundaries and a negative prefix pair
• The invariant obstruction of a retained LARGE skeleton
• Late negative reserve and prefix truncation
• Lattice
• A local physical two-root repair
• Binary selection with actual depleted support
• The original M5 source-to-word implication
• Physical occurrences and the W_J prefix
• Exact T depletion and the final complement
• Hard source geometry and an attained initial height
• Original physical rows of an M5 centered source
• At most two fresh labels augment every native legal word
• Energy before SMALL count: the physical mixed-suffix exchange
• Moving one LARGE label across an arbitrary mixed suffix
• Full exchange through the physical SMALL source half
• Native positive-SMALL chain extraction
• A full exchange retaining every old SMALL
• Two generations and complete SMALL-prefix normalization
• Odd-half negative-parent exchanges
• Odd-half negative-parent exchanges
• Positive odd penultimate exchanges with genuine SMALL returns
• Orbit
• The first LOWER selector on the attained physical bank
• A full physical bank at the LOWER T prefix
• Supported-mask selection arithmetic
• Uniform factors of original centered-source rows
• The original source-to-row bridge
• PeriodicDaughterJointShortening
• Independent shorter orders transport through charged physical blocks
• Same-phase charges across the three moduli
• PhysicalJointRepetition
• Physical exchange by constructive positive SMALL returns
• A Robust Selector Obstruction on the Physical Circle
• Native dyadic transport of a joint ear completion
• Deferred-prefix ancestor invariant
• Signed short mass for the complete three-LARGE exchange
• A single physical anchor supplies the return interval
• Single SMALL rigidity and forward cyclic completion
• An actual prefix reserve and the remaining prefix obstruction
• Ordering pairwise compatible steps between two endpoints
• Seven physical row roles and exact T depletion
• A universal support width for centered circle sources
• Two gates sharing one physical tail
• Same-sign substitution with a compatible suffix
• Terminal SMALL ownership and orbit transition
• Three-bit circle sources at half-modulus capacity
• Exact packets for the two remaining ladders
• The Q=2 empty-ladder boundary
• Source-forced residual windows
• A physical doubling packet supplies a three-LARGE exchange
• An adaptive binary grain controls both the inventory and the new charge
• The entire family 2<=c<a=b
• The entire equal-lower family
• One physical permutation couples two centered paths
• A common zero cut for equal outer gaps
• Source facts for the equal-outer marked joint lift
• Full native three-negative physical exchange
• Private arithmetic of the physical constructor
• The complete minimum-gap-two construction
• Private arithmetic of the physical constructor
• Binary masks and the charge of one fresh physical label
• Private arithmetic of the strict physical chamber
• Private arithmetic of the strict physical chamber
• The complete strict chamber
• One physical permutation for both centered sources
• One physical permutation, with the ear immediately after gamma
• A sharp three-parent source family
• Arithmetic gates for the attained three-row mask
• Attained masks on all physical row labels
• Three-row cyclic source family at half-modulus capacity
• Three-small block placement in the sixfold normalization
• Three same-sign SMALL labels, including adjacency
• Complete strip ordering from conservation and two large occurrences
• Native common-cut two-negative joint lift
• TwoNegativeNondecreasingJointLift
• Two opposite LARGE labels: the complete three-case exchange
• Actual two-run sources, genuine periods and physical repetitions
• Placing two SMALL occurrences across two free gaps
• Period-closing rigidity for two SMALL gaps
• Native full completion with exactly two physical SMALL labels
• Upper-quarter tail: actual SMALL return and native descent
• Cyclic carries and zero relations of the physical circle source