{
  "sarg_version": "1.0.0",
  "id": "latin_alphabet_basic",
  "description": "Minimal SARG example: the 26-letter Latin alphabet treated as a substrate with simple invariants and resonance anchors.",
  "substrate": {
    "type": "symbolic",
    "domain": "alphabetic",
    "name": "Latin Alphabet",
    "elements": [
      "A","B","C","D","E","F","G","H","I","J","K","L","M",
      "N","O","P","Q","R","S","T","U","V","W","X","Y","Z"
    ],
    "properties": {
      "cardinality": 26,
      "script_direction": "LTR",
      "case_system": "bicameral",
      "historical_root": "Roman"
    }
  },
  "lens": {
    "primary": "structural",
    "secondary": ["phonetic", "graphical"],
    "notes": "Structural lens treats letters as atomic symbolic units; phonetic lens is optional and not required for invariant extraction."
  },
  "invariants": {
    "symmetry": {
      "rotational": ["H", "I", "N", "O", "S", "X", "Z"],
      "mirror_vertical": ["A", "H", "I", "M", "O", "T", "U", "V", "W", "X", "Y"],
      "mirror_horizontal": ["B", "C", "D", "E", "H", "I", "K", "O", "X"]
    },
    "categorical": {
      "vowels": ["A", "E", "I", "O", "U"],
      "consonants": [
        "B","C","D","F","G","H","J","K","L","M",
        "N","P","Q","R","S","T","V","W","X","Y","Z"
      ]
    },
    "positional": {
      "first": "A",
      "last": "Z",
      "midpoint": "M"
    }
  },
  "resonance": {
    "anchors": {
      "axis": {
        "primary": "A–Z linear progression",
        "secondary": "symmetry clusters"
      },
      "clusters": [
        {
          "name": "rotational_symmetry_cluster",
          "members": ["H", "I", "N", "O", "S", "X", "Z"],
          "signature": "R1"
        },
        {
          "name": "vowel_cluster",
          "members": ["A", "E", "I", "O", "U"],
          "signature": "V1"
        }
      ]
    },
    "mapping": {
      "A": { "cluster": "vowel_cluster", "invariants": ["mirror_vertical"] },
      "H": { "cluster": "rotational_symmetry_cluster", "invariants": ["rotational", "mirror_vertical", "mirror_horizontal"] },
      "O": { "cluster": "rotational_symmetry_cluster", "invariants": ["rotational", "mirror_vertical"] },
      "M": { "cluster": null, "invariants": ["mirror_vertical"], "positional_role": "midpoint" }
    }
  },
  "examples": {
    "extraction_walkthrough": [
      {
        "letter": "A",
        "lens": "structural",
        "identified_invariants": ["mirror_vertical"],
        "resonance_anchor": "V1"
      },
      {
        "letter": "H",
        "lens": "structural",
        "identified_invariants": ["rotational", "mirror_vertical", "mirror_horizontal"],
        "resonance_anchor": "R1"
      },
      {
        "letter": "M",
        "lens": "structural",
        "identified_invariants": ["mirror_vertical"],
        "resonance_anchor": null,
        "notes": "Serves as midpoint anchor in positional invariants."
      }
    ]
  }
}