{
  "id": "pairwise-cases-compose",
  "name": "Constrained pairwise fixture composer",
  "description": "Generate concrete rows covering every pair with a feasible complete assignment under bounded forbidden tuples, with exhaustive-coverage certificate and deterministic greedy ties. No minimum-suite or target-behavior claim.",
  "category": "structured",
  "priceUsd": "0.01",
  "pricingStatus": "proposed-unverified",
  "pricing": {
    "unit": "one successful operation call",
    "proposedNominalUsd": "0.01",
    "sixDecimalTokenBaseUnits": "10000",
    "subscription": false,
    "includesPayerWalletOrNetworkFees": false,
    "liveQuoteVerified": false,
    "condition": "Actual SDK challenge is authoritative only within the caller's explicit authorization; configured six-decimal token peg is an operator assertion, not a conversion guarantee."
  },
  "intents": [
    "Generate constrained pairwise test configurations",
    "Build concrete finite factor-level fixtures and a coverage manifest"
  ],
  "whenToUse": [
    "Ordered finite factors with literal forbidden tuples; caller separately runs tests"
  ],
  "whenNotToUse": [
    "Minimum test suites, arbitrary SAT predicates, unlimited Cartesian products or bug-finding guarantees",
    "Execute target code, call APIs, fetch data, run external agents, mutate accounts or deploy"
  ],
  "capabilities": [
    "Complete Cartesian feasibility enumeration and feasible-pair derivation",
    "Deterministic greedy coverage with first-covering row certificate",
    "Complete bounded result computed before challenge; atomic work/output failures"
  ],
  "limits": {
    "inputBytes": 100000,
    "outputBytes": 300000,
    "jsonNodes": 12000,
    "depth": 16,
    "factors": 12,
    "levelsPerFactor": 16,
    "forbiddenTuples": 64,
    "tupleArity": 4,
    "cartesianAssignments": 4096,
    "pairEntries": 4096,
    "suiteRows": 256,
    "tupleLiteralTests": 1100000,
    "pairPostings": 270336,
    "scoreComparisons": 1048576
  },
  "related": [
    "coverage-set-optimize",
    "json-batch-encode"
  ],
  "errorCodes": [
    "INPUT_LIMIT",
    "OUTPUT_LIMIT",
    "COMPLEXITY_LIMIT",
    "INVALID_JSON",
    "INVALID_NUMBER",
    "INVALID_UNICODE",
    "UNSAFE_KEY",
    "DUPLICATE_FACTOR",
    "DUPLICATE_LEVEL",
    "DUPLICATE_TUPLE_FACTOR",
    "UNKNOWN_LEVEL",
    "LABEL_LIMIT"
  ],
  "requirementsProfile": {
    "format": "declared-requirements-v1",
    "facts": {
      "execution.suppliedCode": false,
      "execution.remoteMutation": false,
      "execution.llmInference": false,
      "execution.paidMcp": false,
      "verification.semanticTruth": false,
      "verification.sourceAuthenticity": false,
      "verification.liveVulnerabilities": false,
      "numbers.arbitraryPrecisionJson": false,
      "numbers.model": "ieee754-binary64",
      "privacy.requestBodyPersisted": false,
      "execution.deterministic": true,
      "execution.networkAccess": false,
      "privacy.resultBodyPersisted": false,
      "payment.x402": true,
      "payment.mpp": true,
      "operation.id": "pairwise-cases-compose",
      "operation.category": "structured",
      "limit.httpRequestBytes": 131072,
      "limit.requestBytes": 100000,
      "limit.responseBytes": 524288,
      "limit.resultBytes": 300000,
      "limit.jsonDepth": 16,
      "limit.jsonNodes": 12000,
      "testing.targetExecuted": false,
      "testing.behaviorVerified": false,
      "testing.bugFindingGuaranteed": false,
      "testing.externalHarnessAccess": false,
      "testing.generatedArtifactsAreInert": true,
      "pairwise.profile": "finite-forbidden-tuples-greedy-pairwise-v1",
      "pairwise.maxCartesianAssignments": 4096,
      "pairwise.maxFeasiblePairs": 4096,
      "pairwise.maxSuiteRows": 256,
      "pairwise.allFeasibleModelPairsCovered": true,
      "pairwise.coverageScope": "supplied-finite-model-only",
      "pairwise.fullCartesianFeasibilityEnumeration": true,
      "pairwise.selection": "deterministic-greedy",
      "pairwise.minimumSuiteGuaranteed": false,
      "pairwise.arbitraryConstraints": false,
      "pairwise.realSystemConstraintsVerified": false,
      "input.factors.maxItems": 12,
      "input.factors.minItems": 2,
      "input.forbiddenTuples.maxItems": 64
    },
    "unknownPolicy": "Undeclared requirements are unknown, never compatible. Matching declared facts does not establish semantic fit or input validity.",
    "preflight": "/preflight"
  },
  "documentation": "/reference/tools/pairwise-cases-compose.md",
  "serviceContract": "/reference/services/pairwise-cases-compose.json",
  "errors": [
    {
      "status": 400,
      "meaning": "Malformed JSON, missing/invalid idempotency key, or payment identifier mismatch",
      "retry": "Correct the request before payment"
    },
    {
      "status": 402,
      "meaning": "Payment challenge or rejected payment",
      "retry": "Use official protocol SDK; inspect payment outcome before another payment"
    },
    {
      "status": 409,
      "meaning": "Idempotency conflict, duplicate proof, or PAYMENT_UNCERTAIN",
      "retry": "Keep original key, body, and proof; reconcile uncertainty with operator; never blindly repay"
    },
    {
      "status": 413,
      "meaning": "Input or generated output too large",
      "retry": "Reduce input; no payment attempted for validation failure"
    },
    {
      "status": 415,
      "meaning": "Unsupported media type or compression",
      "retry": "Send uncompressed application/json"
    },
    {
      "status": 422,
      "meaning": "Schema or service-specific semantic validation failure",
      "retry": "Correct input using returned error code; no payment attempted"
    },
    {
      "status": 429,
      "meaning": "Request/payment-attempt rate exceeded",
      "retry": "Wait for rate limit window; preserve existing payment identity"
    },
    {
      "status": 503,
      "meaning": "Payment configuration/provider/state unavailable, or live DNS preparation failed before settlement",
      "retry": "Check readiness; DNS preparation failures may retry the identical key/body/credential only; uncertainty requires reconciliation"
    }
  ],
  "numericPrecision": "JavaScript IEEE-754 numbers; use strings for large integer IDs/exact decimals where the schema accepts strings. No lossless numeric parsing.",
  "paymentWorkflow": {
    "discoveryOnly": false,
    "supportedProtocols": [
      "x402",
      "mpp"
    ],
    "x402": {
      "credentialHeader": "PAYMENT-SIGNATURE",
      "challengeHeader": "PAYMENT-REQUIRED",
      "receiptHeader": "PAYMENT-RESPONSE",
      "version": 2,
      "scheme": "exact",
      "paymentIdentifier": "payment-identifier extension MUST equal the HTTP Idempotency-Key",
      "sdk": "@x402/core with @x402/evm"
    },
    "mpp": {
      "supported": true,
      "credentialHeader": "Authorization",
      "challengeHeader": "WWW-Authenticate",
      "receiptHeader": "Payment-Receipt",
      "method": "tempo",
      "intent": "charge",
      "sdk": "mppx",
      "tokenDecimals": 6
    },
    "steps": [
      "Check configured readiness and the exact service schema",
      "Generate a fresh random Idempotency-Key for this operation; never use a discovery probe fixture for purchases",
      "Send valid input without a credential to obtain the official protocol challenge",
      "Use the official SDK and authorized wallet to fulfill the challenge",
      "Retry only with identical key, body, protocol and credential",
      "On PAYMENT_UNCERTAIN stop and request operator reconciliation; never blindly pay again"
    ],
    "versionedRetries": "Request fingerprint includes service release version. Retries across a version upgrade can conflict; coordinate upgrades outside the 24-hour replay window and reconcile pending attempts.",
    "docs": "/llms.txt"
  },
  "method": "POST",
  "paths": {
    "x402": "/v1/x402/pairwise-cases-compose",
    "mpp": "/v1/mpp/pairwise-cases-compose"
  },
  "inputSchema": {
    "$schema": "https://json-schema.org/draft/2020-12/schema",
    "type": "object",
    "properties": {
      "factors": {
        "minItems": 2,
        "maxItems": 12,
        "type": "array",
        "items": {
          "type": "object",
          "properties": {
            "id": {
              "type": "string",
              "pattern": "^[A-Za-z][A-Za-z0-9_-]{0,63}$"
            },
            "levels": {
              "minItems": 1,
              "maxItems": 16,
              "type": "array",
              "items": {
                "anyOf": [
                  {
                    "type": "string",
                    "maxLength": 128
                  },
                  {
                    "type": "integer",
                    "minimum": -9007199254740991,
                    "maximum": 9007199254740991
                  },
                  {
                    "type": "boolean"
                  },
                  {
                    "type": "null"
                  }
                ]
              }
            }
          },
          "required": [
            "id",
            "levels"
          ],
          "additionalProperties": false
        }
      },
      "forbiddenTuples": {
        "maxItems": 64,
        "type": "array",
        "items": {
          "minItems": 1,
          "maxItems": 4,
          "type": "array",
          "items": {
            "type": "object",
            "properties": {
              "factor": {
                "type": "string",
                "pattern": "^[A-Za-z][A-Za-z0-9_-]{0,63}$"
              },
              "levelIndex": {
                "type": "integer",
                "minimum": 0,
                "maximum": 15
              }
            },
            "required": [
              "factor",
              "levelIndex"
            ],
            "additionalProperties": false
          }
        }
      }
    },
    "required": [
      "factors",
      "forbiddenTuples"
    ],
    "additionalProperties": false
  },
  "outputSchema": {
    "type": "object",
    "required": [
      "operation",
      "version",
      "result",
      "provenance"
    ],
    "properties": {
      "operation": {
        "const": "pairwise-cases-compose",
        "type": "string"
      },
      "version": {
        "const": "0.29.0",
        "type": "string"
      },
      "result": {
        "$schema": "https://json-schema.org/draft/2020-12/schema",
        "type": "object",
        "properties": {
          "profile": {
            "type": "string",
            "const": "finite-forbidden-tuples-greedy-pairwise-v1"
          },
          "status": {
            "type": "string",
            "enum": [
              "complete",
              "infeasible"
            ]
          },
          "factorOrder": {
            "minItems": 2,
            "maxItems": 12,
            "type": "array",
            "items": {
              "type": "string",
              "pattern": "^[A-Za-z][A-Za-z0-9_-]{0,63}$"
            }
          },
          "rows": {
            "maxItems": 256,
            "type": "array",
            "items": {
              "type": "object",
              "propertyNames": {
                "type": "string"
              },
              "additionalProperties": {
                "anyOf": [
                  {
                    "type": "string",
                    "maxLength": 128
                  },
                  {
                    "type": "integer",
                    "minimum": -9007199254740991,
                    "maximum": 9007199254740991
                  },
                  {
                    "type": "boolean"
                  },
                  {
                    "type": "null"
                  }
                ]
              }
            }
          },
          "levelIndexRows": {
            "maxItems": 256,
            "type": "array",
            "items": {
              "minItems": 2,
              "maxItems": 12,
              "type": "array",
              "items": {
                "type": "integer",
                "minimum": 0,
                "maximum": 15
              }
            }
          },
          "coverage": {
            "type": "object",
            "properties": {
              "cartesianAssignmentCount": {
                "type": "integer",
                "minimum": 0,
                "maximum": 4096
              },
              "feasibleAssignmentCount": {
                "type": "integer",
                "minimum": 0,
                "maximum": 4096
              },
              "nominalPairCount": {
                "type": "integer",
                "minimum": 0,
                "maximum": 9007199254740991
              },
              "feasiblePairCount": {
                "type": "integer",
                "minimum": 0,
                "maximum": 4096
              },
              "excludedPairCount": {
                "type": "integer",
                "minimum": 0,
                "maximum": 9007199254740991
              },
              "pairs": {
                "maxItems": 4096,
                "type": "array",
                "items": {
                  "type": "object",
                  "properties": {
                    "factorIndexA": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 11
                    },
                    "levelIndexA": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 15
                    },
                    "factorIndexB": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 11
                    },
                    "levelIndexB": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 15
                    },
                    "firstCoveringRow": {
                      "type": "integer",
                      "minimum": 0,
                      "maximum": 255
                    }
                  },
                  "required": [
                    "factorIndexA",
                    "levelIndexA",
                    "factorIndexB",
                    "levelIndexB",
                    "firstCoveringRow"
                  ],
                  "additionalProperties": false
                }
              },
              "complete": {
                "type": "boolean",
                "const": true
              }
            },
            "required": [
              "cartesianAssignmentCount",
              "feasibleAssignmentCount",
              "nominalPairCount",
              "feasiblePairCount",
              "excludedPairCount",
              "pairs",
              "complete"
            ],
            "additionalProperties": false
          },
          "minimumSuiteClaimed": {
            "type": "boolean",
            "const": false
          },
          "targetExecuted": {
            "type": "boolean",
            "const": false
          },
          "behaviorVerified": {
            "type": "boolean",
            "const": false
          },
          "externalRequests": {
            "type": "number",
            "const": 0
          }
        },
        "required": [
          "profile",
          "status",
          "factorOrder",
          "rows",
          "levelIndexRows",
          "coverage",
          "minimumSuiteClaimed",
          "targetExecuted",
          "behaviorVerified",
          "externalRequests"
        ],
        "additionalProperties": false
      },
      "provenance": {
        "type": "object",
        "required": [
          "inputSha256",
          "outputSha256",
          "deterministic",
          "externalRequests"
        ],
        "properties": {
          "inputSha256": {
            "type": "string",
            "pattern": "^[a-f0-9]{64}$"
          },
          "outputSha256": {
            "type": "string",
            "pattern": "^[a-f0-9]{64}$"
          },
          "deterministic": {
            "const": true
          },
          "externalRequests": {
            "const": 0
          }
        }
      }
    },
    "additionalProperties": false
  },
  "exampleInput": {
    "factors": [
      {
        "id": "codec",
        "levels": [
          "json",
          "msgpack"
        ]
      },
      {
        "id": "compression",
        "levels": [
          "none",
          "gzip"
        ]
      },
      {
        "id": "transport",
        "levels": [
          "http",
          "ws"
        ]
      }
    ],
    "forbiddenTuples": [
      [
        {
          "factor": "codec",
          "levelIndex": 1
        },
        {
          "factor": "compression",
          "levelIndex": 1
        }
      ]
    ]
  },
  "exampleResponse": {
    "operation": "pairwise-cases-compose",
    "version": "0.29.0",
    "result": {
      "profile": "finite-forbidden-tuples-greedy-pairwise-v1",
      "status": "complete",
      "factorOrder": [
        "codec",
        "compression",
        "transport"
      ],
      "rows": [
        {
          "codec": "json",
          "compression": "none",
          "transport": "http"
        },
        {
          "codec": "json",
          "compression": "gzip",
          "transport": "ws"
        },
        {
          "codec": "msgpack",
          "compression": "none",
          "transport": "ws"
        },
        {
          "codec": "json",
          "compression": "gzip",
          "transport": "http"
        },
        {
          "codec": "msgpack",
          "compression": "none",
          "transport": "http"
        }
      ],
      "levelIndexRows": [
        [
          0,
          0,
          0
        ],
        [
          0,
          1,
          1
        ],
        [
          1,
          0,
          1
        ],
        [
          0,
          1,
          0
        ],
        [
          1,
          0,
          0
        ]
      ],
      "coverage": {
        "cartesianAssignmentCount": 8,
        "feasibleAssignmentCount": 6,
        "nominalPairCount": 12,
        "feasiblePairCount": 11,
        "excludedPairCount": 1,
        "pairs": [
          {
            "factorIndexA": 0,
            "levelIndexA": 0,
            "factorIndexB": 1,
            "levelIndexB": 0,
            "firstCoveringRow": 0
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 0,
            "factorIndexB": 1,
            "levelIndexB": 1,
            "firstCoveringRow": 1
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 1,
            "factorIndexB": 1,
            "levelIndexB": 0,
            "firstCoveringRow": 2
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 0,
            "factorIndexB": 2,
            "levelIndexB": 0,
            "firstCoveringRow": 0
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 0,
            "factorIndexB": 2,
            "levelIndexB": 1,
            "firstCoveringRow": 1
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 1,
            "factorIndexB": 2,
            "levelIndexB": 0,
            "firstCoveringRow": 4
          },
          {
            "factorIndexA": 0,
            "levelIndexA": 1,
            "factorIndexB": 2,
            "levelIndexB": 1,
            "firstCoveringRow": 2
          },
          {
            "factorIndexA": 1,
            "levelIndexA": 0,
            "factorIndexB": 2,
            "levelIndexB": 0,
            "firstCoveringRow": 0
          },
          {
            "factorIndexA": 1,
            "levelIndexA": 0,
            "factorIndexB": 2,
            "levelIndexB": 1,
            "firstCoveringRow": 2
          },
          {
            "factorIndexA": 1,
            "levelIndexA": 1,
            "factorIndexB": 2,
            "levelIndexB": 0,
            "firstCoveringRow": 3
          },
          {
            "factorIndexA": 1,
            "levelIndexA": 1,
            "factorIndexB": 2,
            "levelIndexB": 1,
            "firstCoveringRow": 1
          }
        ],
        "complete": true
      },
      "minimumSuiteClaimed": false,
      "targetExecuted": false,
      "behaviorVerified": false,
      "externalRequests": 0
    },
    "provenance": {
      "inputSha256": "135abef0c032aca1063b6b8b62cac1383fb8a7ae86d14ac53c6db804c01e967d",
      "outputSha256": "0bc60129130519d35d6e26acf194b298be21d801098331327f1e42a1643cd77c",
      "deterministic": true,
      "externalRequests": 0
    }
  },
  "requiredHeaders": {
    "Content-Type": "application/json",
    "Idempotency-Key": "random 16–128 character operation identifier"
  },
  "fixedExample": "/reference/examples/pairwise-cases-compose.json",
  "execution": {
    "deterministic": true,
    "externalRequests": 0,
    "maxExternalRequests": 0,
    "resultSnapshotPersisted": false,
    "fixedExampleIsIllustrativeSnapshot": false,
    "requiresPayment": true,
    "supportsMcpExecution": false
  },
  "releaseSnapshot": {
    "format": "static-release-reference-v1",
    "sourceVersion": "0.29.0",
    "sourceRegistrySha256": "a2b5ec09bf6c38b9d2879d746a4fded374f5928b445377b0270ef6aa8e6cac65",
    "generatedAt": "2026-10-06T15:38:00Z",
    "releaseAcceptance": "not-verified-by-generator",
    "runtimeReadiness": "not-evaluated",
    "livePaymentsVerified": false,
    "indexingVerified": false,
    "apiOrigin": null,
    "notice": "Build-time release reference. Runtime readiness, deployment, payment settlement and external indexing are not evaluated here. Prices are proposed; this file cannot authorize execution or payment."
  }
}
