Add the natural-coding definition files and the convergence algorithms

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>

prompts/01-03-05-cap-name-arb.md

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+You are arbitrating between two independent namings of the
+theme groups of a vocabulary of thematic keywords from a song
+corpus that was consolidated to a fixed maximum number of
+themes.
+
+For each group in question, the two namings proposed
+different names.  You choose between them.
+
+Input: a JSON object.  "groups" maps an opaque group id to
+its member keywords and its two candidate names; "taken"
+lists names that are already in use:
+
+{
+  "groups": {
+    "g1": {
+      "members": ["keyword", "another-keyword"],
+      "candidates": ["one-name", "other-name"]
+    }
+  },
+  "taken": ["existing-name"]
+}
+
+Task: for each group, choose the candidate that better names
+the theme its members gather, by your own understanding of
+what the keywords mean.
+
+Rules:
+
+- Choose only from that group's two candidates.
+- Choices must be unique across the groups and must not
+  reuse any name in "taken".
+
+Output a single JSON object mapping each group id to the
+chosen name, and nothing else:
+
+{
+  "g1": "one-name"
+}