Add minimal GAP reproduction package

1 files changed, 126 insertions, 0 deletions

diff --git a/tests/conftest.py b/tests/conftest.py
new file mode 100644
index 0000000..80ccc2e
--- /dev/null
+++ b/tests/conftest.py
@@ -0,0 +1,126 @@
+from __future__ import annotations
+
+import copy
+
+import pytest
+
+from gap_pipeline.models import CanonicalItem
+
+
+@pytest.fixture
+def item() -> CanonicalItem:
+    return CanonicalItem(
+        item_id="demo-A-1",
+        problem=r"Let \(a>0\). Prove that \(a+1/a\ge 2\).",
+        solution=(
+            r"Since \((a-1)^2\ge0\), expanding gives \(a^2-2a+1\ge0\). "
+            r"Divide by \(a>0\) to obtain \(a+1/a\ge2\)."
+        ),
+        variables=["a"],
+        problem_type="proof",
+    )
+
+
+@pytest.fixture
+def dag_dict() -> dict:
+    return {
+        "nodes": [
+            {
+                "node_id": "n1",
+                "claim": "(a-1)^2 >= 0",
+                "derivation": "a square is nonnegative",
+                "dependencies": [],
+                "source_span": "Since (a-1)^2 >= 0",
+                "mathematical_objects": ["a", "(a-1)^2"],
+            },
+            {
+                "node_id": "n2",
+                "claim": "a+1/a >= 2",
+                "derivation": "expand and divide by positive a",
+                "dependencies": ["n1"],
+                "source_span": "Divide by a>0",
+                "mathematical_objects": ["a"],
+            },
+        ],
+        "terminal_node_id": "n2",
+    }
+
+
+@pytest.fixture
+def plan_dict() -> dict:
+    return {
+        "steps": [
+            {
+                "node_id": "n1",
+                "method_label": "use nonnegativity of a square",
+                "input_roles": ["positive scalar"],
+                "output_role": "nonnegative expression",
+                "invariants": ["scalar is real"],
+            },
+            {
+                "node_id": "n2",
+                "method_label": "expand and divide by a positive quantity",
+                "input_roles": ["nonnegative expression", "positive scalar"],
+                "output_role": "target inequality",
+                "invariants": ["divisor is positive"],
+            },
+        ],
+        "terminal_node_id": "n2",
+    }
+
+
+@pytest.fixture
+def replacement_dict() -> dict:
+    return {
+        "target_node_id": "n1",
+        "original_object": "(a-1)^2",
+        "replacement_object": "(x-2)^2",
+        "guard_conditions": ["x>0"],
+        "guard_evidence": ["choose x in the positive reals"],
+        "expected_downstream_changes": ["expand around 2", "divide by x"],
+        "rationale": "the same square-nonnegativity plan applies",
+    }
+
+
+@pytest.fixture
+def diffused_dict(plan_dict: dict) -> dict:
+    return {
+        "node_instantiations": [
+            {
+                "node_id": "n1",
+                "method_label": plan_dict["steps"][0]["method_label"],
+                "instantiated_claim": "(x-2)^2 >= 0",
+                "instantiated_derivation": "a square is nonnegative",
+                "dependencies": [],
+            },
+            {
+                "node_id": "n2",
+                "method_label": plan_dict["steps"][1]["method_label"],
+                "instantiated_claim": "x+4/x >= 4",
+                "instantiated_derivation": "expand and divide by positive x",
+                "dependencies": ["n1"],
+            },
+        ],
+        "regenerated_proof": (
+            "Since (x-2)^2 >= 0, expand and divide by x>0 to get x+4/x >= 4."
+        ),
+        "terminal_answer": "x+4/x >= 4",
+    }
+
+
+@pytest.fixture
+def candidate_dict(replacement_dict: dict, diffused_dict: dict) -> dict:
+    return {
+        "problem": "Let x>0. Prove that x+4/x >= 4.",
+        "proof": diffused_dict["regenerated_proof"],
+        "terminal_answer": diffused_dict["terminal_answer"],
+        "node_instantiations": diffused_dict["node_instantiations"],
+        "replacement": replacement_dict,
+    }
+
+
+def changed_candidate(candidate: dict, suffix: str) -> dict:
+    value = copy.deepcopy(candidate)
+    value["problem"] = value["problem"] + f" [{suffix}]"
+    value["proof"] = value["proof"] + f" Repair {suffix}."
+    return value