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f0909172434.github.io

f0909172434.github.io

live Unverified (seed import) Health & Education 8 tools imperative implementation

Finite Witness stress-tests finite graph conjectures and returns the first inspectable counterexample through one shared human-agent workspace.

First seen 2026-11-05 · Last seen 2026-11-05 · Source: webmcp.com

Answer 2 · Act 6 · Transact 0 · Score: Not yet scored

Tool inspector

configure_conjecture

act imperative

Configure a finite simple graph conjecture in the visible workbench. Omitted fields keep their current values. This changes the shared page but does not run a search.

Page: /finite-witness-webmcp/

Input schema

PropertyTypeRequiredDescription
name string no —
connected boolean no —
min_degree integer,null no —
bipartite string no —
triangle_free boolean no —
all_even_degrees boolean no —
even_order boolean no —
edge_surplus integer,null no —
max_diameter integer,null no —
conclusion string no —
max_vertices integer no —
Raw JSON schema
{
  "type": "object",
  "properties": {
    "name": {
      "type": "string",
      "minLength": 1,
      "maxLength": 72
    },
    "connected": {
      "type": "boolean"
    },
    "min_degree": {
      "type": [
        "integer",
        "null"
      ],
      "minimum": 1,
      "maximum": 3
    },
    "bipartite": {
      "type": "string",
      "enum": [
        "any",
        "yes",
        "no"
      ]
    },
    "triangle_free": {
      "type": "boolean"
    },
    "all_even_degrees": {
      "type": "boolean"
    },
    "even_order": {
      "type": "boolean"
    },
    "edge_surplus": {
      "type": [
        "integer",
        "null"
      ],
      "enum": [
        null,
        0,
        1
      ]
    },
    "max_diameter": {
      "type": [
        "integer",
        "null"
      ],
      "enum": [
        null,
        2,
        3
      ]
    },
    "conclusion": {
      "type": "string",
      "enum": [
        "contains_triangle",
        "is_cycle",
        "is_bipartite",
        "has_perfect_matching",
        "has_even_edge_count",
        "diameter_at_most_2"
      ]
    },
    "max_vertices": {
      "type": "integer",
      "minimum": 3,
      "maximum": 6
    }
  },
  "required": [],
  "additionalProperties": false
}

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