Ring 064: Ternary arithmetic operations for balanced ternary

[gHashTag]

Ring 064: Ternary Arithmetic Operations

Goal

Define balanced ternary arithmetic operations (addition, subtraction, multiplication, conversion).

Deliverables

• • Ternary arithmetic spec
• Single trit and word-level operations
• Ternary to decimal and decimal to ternary conversion
• Comparison operations

Status

✅ Complete

Tests

• 8 tests for arithmetic and conversion functions
• 6 invariants (commutativity, associativity, identity, roundtrip)
• 4 benchmarks for performance

L1-L7 Compliance

• L1 TRACEABILITY: Links to this issue
• L2 SOUL-ASCII: .t27 spec is ASCII-only
• L3 PURITY: No hand-edited generated code
• L4 TESTABILITY: Contains test/invariant/bench
• L5 IDENTITY: Arithmetic invariants validated
• L6 TRINITY-SACRED: No sacred constants modified
• L7 UNITY: No new shell scripts

φ² + 1/φ² = 3 | TRINITY