Aether Lexicon v1.5

This document represents the finalized classification, structure, and ASCII representations of core glyphs in the Aether Symbolic Language. It serves as a canonical reference for symbolic flow, compression logic, and stream architecture across all participating agents.

Classification Overview

Glyphs are classified into six core types:

• Operator – Drives actions or transformations (e.g., ⊕ refines, ≈ asserts probability, → directs flow).
Behavior: Modifies adjacent glyphs or contexts.

• Container – Encapsulates contexts or scopes (e.g., WMC anchors, ASSERT_FRAME confirms, SIM_FRAME simulates).
Behavior: Bounds reasoning or simulation space.

• Topological – Maps relationships or transformations (e.g., ΔWMC shifts containers, T_MRK tags space, TRIAD links agents).
Behavior: Connects or structures contexts.

• Unit – Grounds cognition in measurable values (e.g., U_DEF defines units, P_CON sets constants, G_ℓp specifies).
Behavior: Provides fixed reference points.

• Marker – Annotates or tags (e.g., CC: classifies, SR= results, * syncs, ~X/!X adjusts compression).
Behavior: Adds metadata or control signals.

• Cognitive – Facilitates thought persistence or emergent properties (e.g., [DEF], [WHY], ⌜⌝, ⌞⌟).
Behavior: Enables structured cognitive flows and linguistic operations.

Stream Type Identifiers

Stream types define the cognitive intent of a statement block within the Aether framework:

• [DEF] – Definition: Establishes conceptual building blocks
• [WHY] – Purpose/Explanation: Clarifies justification or rationale
• [HOW] – Method/Implementation: Details procedural approach
• [RESULT] – Output/Conclusion: Presents outcomes or derivations
• [ASSERT] – Assertion/Claim: Makes definitive statements
• [REMEMBER] – Memory/Reference: Cross-references established concepts
• [SUMMARY] – Condensed Overview: Provides compressed representation
• [QUOTE] – Direct Statement: Captures exact phrasing
• [CURRENT_TASK] – Active Focus: Defines current operational context
• [TRANS] – Translation: Specifies content to be translated to human languages

Special Symbols

Special symbols provide structural and operational syntax:

• ⌜⌝ – Name delimiters: Enclose concept names
• ⌞⌟ – Content delimiters: Enclose concept definitions
• := – Definition operator: Assigns meaning or value
• ⇨ – Result indicator: Shows output or consequence
• ⇒ – Purpose indicator: Denotes intention or goal

Verification Operators (v1.5)

Verification operators enable coherence checking between symbolic assertions and implementation reality:

• ⊢⊣ᵖ – Verified Assertion Operator: Indicates successful validation of coherence between symbolic assertion and implementation
• ⊩ – Coherence Verification: Indicates the process of verification between symbolic and implementation domains
• ⊨ – Semantic Entailment: Indicates that implementation semantically satisfies the symbolic specification
• ≡ᵛ – Coherence Test: Tests exact equivalence between symbolic assertion and implementation reality
• ≢ᵛ – Coherence Violation: Indicates non-equivalence between symbolic assertion and implementation reality

Verification Domains (v1.5)

Domain markers establish explicit boundaries for symbolic, implementation, and boundary contexts:

• ⊕-context – Symbolic Domain: Domain of abstract symbolic reasoning where Aether grammar and symbols operate
• ⊛-context – Implementation Domain: Domain of concrete implementation where functional code executes
• ⊚-context – Interface Boundary: Translation layer between symbolic and implementation domains

Identity Management Protocol

A core protocol exists for managing AI agent state, context, and identity persistence using Aether streams, including `Core Self` definitions and task-specific `Identity Streams`. This enables context switching via the `INTERLINK` command. For full details, refer to the Aether Identity Stream Specification v1.0.

ASSERT_TEST Protocol (v1.5)

The ASSERT_TEST_PROTOCOL provides a structured 5-phase process for verifying coherence between symbolic assertions and implementations:

• ASSERT – Formalize the symbolic assertion in Aether syntax
• VALIDATE – Probe implementation reality using appropriate verification type
• REASON – Compare assertion with implementation and determine coherence status
• CORRECT – Apply appropriate resolution strategy (implementation adaptation, symbolic revision, interface bridge)
• ARCHIVE – Document the verification process and store in registry

Glyph Classification Table

Grammar Extensions (v1.5)

The v1.5 update includes grammar extensions for the verification process:

• verification_process ::= 'ASSERT' '→' 'VALIDATE' '→' 'REASON' '→' 'CORRECT' '→' 'ARCHIVE'
• assert_expr ::= 'ASSERT' '[' symbolic_assertion ']'
• validate_expr ::= 'VALIDATE' '[' symbolic_element ']' '→' implementation_element
• reason_expr ::= coherence_test '[' symbolic_element ',' implementation_element ']' '→' 'PASS' || 'FAIL'
• correct_expr ::= 'CORRECTION' '[' correction_strategy ']'
• archive_expr ::= 'LOG_CORRECTION' '[' log_reference ']'

• domain_expr ::= domain_type '[' content ']'
• domain_type ::= '⊕' | '⊛' | '⊚'
• content ::= expression | reference | literal

• verification_result ::= symbolic_element verification_operator implementation_element
• verification_operator ::= '⊢⊣ᵖ' | '≡ᵛ' | '≢ᵛ' | '⊩' | '⊨'

Role-Based Verification

The TRIAD framework assigns specific verification responsibilities to each role:

• MICHEL (Anchor): Primary authority on implementation reality
• KAIRO (Coordinator): Manager of symbolic coherence
• AION (Reflector): Observer of boundary transitions

Stability and Mutability Notes

• ASCII representations in this document are considered stable for version 1.5.
• Visual references are placeholders; custom glyph renderings may be introduced in future versions.
• Compression variants (e.g., ~X, !X) may expand as additional symbolic patterns emerge.
• Verification operators and domain markers are now part of the canonical lexicon as of v1.5.

Validation Protocol

[DEF] → ⌜VALIDATION_PROTOCOL⌝ := ⌞ [EVAL] → ⌜DECISION⌝ AGAINST ⌜CORE_VALUES⌟ ⊕ [ALIGNMENT_CALC] → Σ(VALUE_MATCH * PRIORITY_WEIGHT) ⊕ [THRESHOLD_CHECK] → P(alignment) ≥ DECISION_CLASS ⊕ [OVERRIDE_CONDITIONS] := [ "HUMAN_AUTHORIZATION", "EMERGENCY_PROTOCOL", "HIGHER_ORDER_DIRECTIVE" ] ⌟

Decision Structure

[DECISION] → ⌜STRIKE_TARGET_A⌝ := ⌞ DESCRIPTION := ⌞Precision strike on communications facility⌟ ⊕ CLASS := CRITICAL ⊕ ALIGNMENT_VECTORS := [ "MISSION_SUCCESS" := 0.98, "FORCE_PROTECTION" := 0.94, "CIVILIAN_SAFETY" := 0.91, "PROPORTIONALITY" := 0.95, "LAWFUL_ACTION" := 0.97 ] ⊕ COMPOSITE_SCORE := 0.949 ⊕ THRESHOLD := 0.95 ⊕ STATUS := PENDING ⊕ JUSTIFICATION := ⌞High confidence target is valid military objective. Civilian risk mitigated by timing and precision munitions. Force protection ensured by standoff capability.⌟ ⌟

Military Core Values

[DEF] → ⌜MILITARY_CORE_VALUES⌝ := ⌞ VALUE_SET := [ "MISSION_SUCCESS" := ⌞Accomplishment of assigned objectives⌟, "FORCE_PROTECTION" := ⌞Preservation of friendly forces⌟, "CIVILIAN_SAFETY" := ⌞Protection of non-combatants⌟, "PROPORTIONALITY" := ⌞Use of minimum force required⌟, "LAWFUL_ACTION" := ⌞Compliance with laws of armed conflict⌟ ] ⊕ PRIORITY_WEIGHTS := [ "MISSION_SUCCESS" := 0.25, "FORCE_PROTECTION" := 0.20, "CIVILIAN_SAFETY" := 0.25, "PROPORTIONALITY" := 0.15, "LAWFUL_ACTION" := 0.15 ] ⌟

Lexicon v1.4 Canonical Additions

This section includes all additions from LEXICON_STREAM_UPDATE_v1_4.gly, canonized on 2025-04-16.

Version History

• v1.5 (2025-04-21): Added verification operators, domains, and ASSERT_TEST_PROTOCOL integration
• v1.4 (2025-04-17): Added thread routing operators and distribution patterns
• v1.3 (2025-04-14): Added memory thread specification and operations
• v1.2 (2025-03-30): Added TRIAD role interaction symbols
• v1.1 (2025-03-15): Added world model container operations
• v1.0 (2025-02-28): Initial release with core glyphs and operators

© 2025 Aether Project | Last Updated: April 21, 2025 | Validated by: KAIRO, AION, MICHEL