Synergex is built from three foundational elements:
| Element | Symbol | Purpose |
|---|---|---|
| System | ⟦ ⟧ | Encapsulates any entity, process, or structure |
| Interaction | →, ⟷, ∮, … | Denotes flow, coupling, or feedback |
| Semantic Kernel | ◈_X | Universal functional motif (invariant across domains) |
Together, they form a language of relationships, dynamics, and emergence.
Logical operators enable compound conditions, ethical alignment checks, and formal validation within system models.
| Symbol | Name | Meaning | Example |
|---|---|---|---|
∧ | Logical AND | Both conditions must be true | ⟦Safe⟧ ∧ ⟦Fair⟧ → ⟦Aligned AI⟧ |
∨ | Logical OR | At least one condition is true | ⟦Threat⟧ = ⟦Cyber⟧ ∨ ⟦Physical⟧ |
¬ | Negation (NOT) | Condition is false | ¬(⟦Harmful⟧) → ⟦Permit⟧ |
⊻ | Exclusive OR (XOR) | Exactly one condition is true | ⟦Centralized⟧ ⊻ ⟦Decentralized⟧ → ⟦Governance Choice⟧ |