Recognition Term Language (RTL)

Definition

The Recognition Term Language (RTL) is a formal language whose terms describe recognitions and their logical combinations. In a GFRTU, RTL is interpreted internally in the sheaf topos.

Plain-language meaning

RTL is the syntax for writing recognitions. It lets you express “and”, “or”, and “implies” as terms that the universe can interpret.

Minimal structure

• A list of term-forming rules (syntax).
• An interpretation of terms as arrows in the sheaf topos.
• Compatibility with the recognition fibers.

Entry conditions

Use RTL only when:

• You can define the grammar of terms.
• You can interpret each term inside the sheaf topos.
• The interpretation is consistent with reindexing and stabilization.

Example

If $p$ and $q$ are recognition symbols, RTL can form $p\wedge q$ and $p\Rightarrow q$. These terms are interpreted as operations inside the recognition object.