attack-tree-construction — templates and worked examples
Templates
Template 1: Attack Tree Data Model
from dataclasses import dataclass, field
from enum import Enum
from typing import List, Dict, Optional, Union
import json
class NodeType(Enum):
OR = "or"
AND = "and"
LEAF = "leaf"
class Difficulty(Enum):
TRIVIAL = 1
LOW = 2
MEDIUM = 3
HIGH = 4
EXPERT = 5
class Cost(Enum):
FREE = 0
LOW = 1
MEDIUM = 2
HIGH = 3
VERY_HIGH = 4
class DetectionRisk(Enum):
NONE = 0
LOW = 1
MEDIUM = 2
HIGH = 3
CERTAIN = 4
@dataclass
class AttackAttributes:
difficulty: Difficulty = Difficulty.MEDIUM
cost: Cost = Cost.MEDIUM
detection_risk: DetectionRisk = DetectionRisk.MEDIUM
time_hours: float = 8.0
requires_insider: bool = False
requires_physical: bool = False
@dataclass
class AttackNode:
id: str
name: str
description: str
node_type: NodeType
attributes: AttackAttributes = field(default_factory=AttackAttributes)
children: List['AttackNode'] = field(default_factory=list)
mitigations: List[str] = field(default_factory=list)
cve_refs: List[str] = field(default_factory=list)
def add_child(self, child: 'AttackNode') -> None:
self.children.append(child)
def calculate_path_difficulty(self) -> float:
"""Calculate aggregate difficulty for this path."""
if self.node_type == NodeType.LEAF:
return self.attributes.difficulty.value
if not self.children:
return 0
child_difficulties = [c.calculate_path_difficulty() for c in self.children]
if self.node_type == NodeType.OR:
return min(child_difficulties)
else: # AND
return max(child_difficulties)
def calculate_path_cost(self) -> float:
"""Calculate aggregate cost for this path."""
if self.node_type == NodeType.LEAF:
return self.attributes.cost.value
if not self.children:
return 0
child_costs = [c.calculate_path_cost() for c in self.children]
if self.node_type == NodeType.OR:
return min(child_costs)
else: # AND
return sum(child_costs)
def to_dict(self) -> Dict:
"""Convert to dictionary for serialization."""
return {
"id": self.id,
"name": self.name,
"description": self.description,
"type": self.node_type.value,
"attributes": {
"difficulty": self.attributes.difficulty.name,
"cost": self.attributes.cost.name,
"detection_risk": self.attributes.detection_risk.name,
"time_hours": self.attributes.time_hours,
},
"mitigations": self.mitigations,
"children": [c.to_dict() for c in self.children]
}
@dataclass
class AttackTree:
name: str
description: str
root: AttackNode
version: str = "1.0"
def find_easiest_path(self) -> List[AttackNode]:
"""Find the path with lowest difficulty."""
return self._find_path(self.root, minimize="difficulty")
def find_cheapest_path(self) -> List[AttackNode]:
"""Find the path with lowest cost."""
return self._find_path(self.root, minimize="cost")
def find_stealthiest_path(self) -> List[AttackNode]:
"""Find the path with lowest detection risk."""
return self._find_path(self.root, minimize="detection")
def _find_path(
self,
node: AttackNode,
minimize: str
) -> List[AttackNode]:
"""Recursive path finding."""
if node.node_type == NodeType.LEAF:
return [node]
if not node.children:
return [node]
if node.node_type == NodeType.OR:
# Pick the best child path
best_path = None
best_score = float('inf')
for child in node.children:
child_path = self._find_path(child, minimize)
score = self._path_score(child_path, minimize)
if score < best_score:
best_score = score
best_path = child_path
return [node] + (best_path or [])
else: # AND
# Must traverse all children
path = [node]
for child in node.children:
path.extend(self._find_path(child, minimize))
return path
def _path_score(self, path: List[AttackNode], metric: str) -> float:
"""Calculate score for a path."""
if metric == "difficulty":
return sum(n.attributes.difficulty.value for n in path if n.node_type == NodeType.LEAF)
elif metric == "cost":
return sum(n.attributes.cost.value for n in path if n.node_type == NodeType.LEAF)
elif metric == "detection":
return sum(n.attributes.detection_risk.value for n in path if n.node_type == NodeType.LEAF)
return 0
def get_all_leaf_attacks(self) -> List[AttackNode]:
"""Get all leaf attack nodes."""
leaves = []
self._collect_leaves(self.root, leaves)
return leaves
def _collect_leaves(self, node: AttackNode, leaves: List[AttackNode]) -> None:
if node.node_type == NodeType.LEAF:
leaves.append(node)
for child in node.children:
self._collect_leaves(child, leaves)
def get_unmitigated_attacks(self) -> List[AttackNode]:
"""Find attacks without mitigations."""
return [n for n in self.get_all_leaf_attacks() if not n.mitigations]
def export_json(self) -> str:
"""Export tree to JSON."""
return json.dumps({
"name": self.name,
"description": self.description,
"version": self.version,
"root": self.root.to_dict()
}, indent=2)
Template 2: Attack Tree Builder
class AttackTreeBuilder:
"""Fluent builder for attack trees."""
def __init__(self, name: str, description: str):
self.name = name
self.description = description
self._node_stack: List[AttackNode] = []
self._root: Optional[AttackNode] = None
def goal(self, id: str, name: str, description: str = "") -> 'AttackTreeBuilder':
"""Set the root goal (OR node by default)."""
self._root = AttackNode(
id=id,
name=name,
description=description,
node_type=NodeType.OR
)
self._node_stack = [self._root]
return self
def or_node(self, id: str, name: str, description: str = "") -> 'AttackTreeBuilder':
"""Add an OR sub-goal."""
node = AttackNode(
id=id,
name=name,
description=description,
node_type=NodeType.OR
)
self._current().add_child(node)
self._node_stack.append(node)
return self
def and_node(self, id: str, name: str, description: str = "") -> 'AttackTreeBuilder':
"""Add an AND sub-goal (all children required)."""
node = AttackNode(
id=id,
name=name,
description=description,
node_type=NodeType.AND
)
self._current().add_child(node)
self._node_stack.append(node)
return self
def attack(
self,
id: str,
name: str,
description: str = "",
difficulty: Difficulty = Difficulty.MEDIUM,
cost: Cost = Cost.MEDIUM,
detection: DetectionRisk = DetectionRisk.MEDIUM,
time_hours: float = 8.0,
mitigations: List[str] = None
) -> 'AttackTreeBuilder':
"""Add a leaf attack node."""
node = AttackNode(
id=id,
name=name,
description=description,
node_type=NodeType.LEAF,
attributes=AttackAttributes(
difficulty=difficulty,
cost=cost,
detection_risk=detection,
time_hours=time_hours
),
mitigations=mitigations or []
)
self._current().add_child(node)
return self
def end(self) -> 'AttackTreeBuilder':
"""Close current node, return to parent."""
if len(self._node_stack) > 1:
self._node_stack.pop()
return self
def build(self) -> AttackTree:
"""Build the attack tree."""
if not self._root:
raise ValueError("No root goal defined")
return AttackTree(
name=self.name,
description=self.description,
root=self._root
)
def _current(self) -> AttackNode:
if not self._node_stack:
raise ValueError("No current node")
return self._node_stack[-1]
# Example usage
def build_account_takeover_tree() -> AttackTree:
"""Build attack tree for account takeover scenario."""
return (
AttackTreeBuilder("Account Takeover", "Gain unauthorized access to user account")
.goal("G1", "Take Over User Account")
.or_node("S1", "Steal Credentials")
.attack(
"A1", "Phishing Attack",
difficulty=Difficulty.LOW,
cost=Cost.LOW,
detection=DetectionRisk.MEDIUM,
mitigations=["Security awareness training", "Email filtering"]
)
.attack(
"A2", "Credential Stuffing",
difficulty=Difficulty.TRIVIAL,
cost=Cost.LOW,
detection=DetectionRisk.HIGH,
mitigations=["Rate limiting", "MFA", "Password breach monitoring"]
)
.attack(
"A3", "Keylogger Malware",
difficulty=Difficulty.MEDIUM,
cost=Cost.MEDIUM,
detection=DetectionRisk.MEDIUM,
mitigations=["Endpoint protection", "MFA"]
)
.end()
.or_node("S2", "Bypass Authentication")
.attack(
"A4", "Session Hijacking",
difficulty=Difficulty.MEDIUM,
cost=Cost.LOW,
detection=DetectionRisk.LOW,
mitigations=["Secure session management", "HTTPS only"]
)
.attack(
"A5", "Authentication Bypass Vulnerability",
difficulty=Difficulty.HIGH,
cost=Cost.LOW,
detection=DetectionRisk.LOW,
mitigations=["Security testing", "Code review", "WAF"]
)
.end()
.or_node("S3", "Social Engineering")
.and_node("S3.1", "Account Recovery Attack")
.attack(
"A6", "Gather Personal Information",
difficulty=Difficulty.LOW,
cost=Cost.FREE,
detection=DetectionRisk.NONE
)
.attack(
"A7", "Call Support Desk",
difficulty=Difficulty.MEDIUM,
cost=Cost.FREE,
detection=DetectionRisk.MEDIUM,
mitigations=["Support verification procedures", "Security questions"]
)
.end()
.end()
.build()
)
Template 3: Mermaid Diagram Generator
class MermaidExporter:
"""Export attack trees to Mermaid diagram format."""
def __init__(self, tree: AttackTree):
self.tree = tree
self._lines: List[str] = []
self._node_count = 0
def export(self) -> str:
"""Export tree to Mermaid flowchart."""
self._lines = ["flowchart TD"]
self._export_node(self.tree.root, None)
return "\n".join(self._lines)
def _export_node(self, node: AttackNode, parent_id: Optional[str]) -> str:
"""Recursively export nodes."""
node_id = f"N{self._node_count}"
self._node_count += 1
# Node shape based on type
if node.node_type == NodeType.OR:
shape = f"{node_id}(({node.name}))"
elif node.node_type == NodeType.AND:
shape = f"{node_id}[{node.name}]"
else: # LEAF
# Color based on difficulty
style = self._get_leaf_style(node)
shape = f"{node_id}[/{node.name}/]"
self._lines.append(f" style {node_id} {style}")
self._lines.append(f" {shape}")
if parent_id:
connector = "-->" if node.node_type != NodeType.AND else "==>"
self._lines.append(f" {parent_id} {connector} {node_id}")
for child in node.children:
self._export_node(child, node_id)
return node_id
def _get_leaf_style(self, node: AttackNode) -> str:
"""Get style based on attack attributes."""
colors = {
Difficulty.TRIVIAL: "fill:#ff6b6b", # Red - easy attack
Difficulty.LOW: "fill:#ffa06b",
Difficulty.MEDIUM: "fill:#ffd93d",
Difficulty.HIGH: "fill:#6bcb77",
Difficulty.EXPERT: "fill:#4d96ff", # Blue - hard attack
}
color = colors.get(node.attributes.difficulty, "fill:#gray")
return color
class PlantUMLExporter:
"""Export attack trees to PlantUML format."""
def __init__(self, tree: AttackTree):
self.tree = tree
def export(self) -> str:
"""Export tree to PlantUML."""
lines = [
"@startmindmap",
f"* {self.tree.name}",
]
self._export_node(self.tree.root, lines, 1)
lines.append("@endmindmap")
return "\n".join(lines)
def _export_node(self, node: AttackNode, lines: List[str], depth: int) -> None:
"""Recursively export nodes."""
prefix = "*" * (depth + 1)
if node.node_type == NodeType.OR:
marker = "[OR]"
elif node.node_type == NodeType.AND:
marker = "[AND]"
else:
diff = node.attributes.difficulty.name
marker = f"<<{diff}>>"
lines.append(f"{prefix} {marker} {node.name}")
for child in node.children:
self._export_node(child, lines, depth + 1)
Template 4: Attack Path Analysis
from typing import Set, Tuple
class AttackPathAnalyzer:
"""Analyze attack paths and coverage."""
def __init__(self, tree: AttackTree):
self.tree = tree
def get_all_paths(self) -> List[List[AttackNode]]:
"""Get all possible attack paths."""
paths = []
self._collect_paths(self.tree.root, [], paths)
return paths
def _collect_paths(
self,
node: AttackNode,
current_path: List[AttackNode],
all_paths: List[List[AttackNode]]
) -> None:
"""Recursively collect all paths."""
current_path = current_path + [node]
if node.node_type == NodeType.LEAF:
all_paths.append(current_path)
return
if not node.children:
all_paths.append(current_path)
return
if node.node_type == NodeType.OR:
# Each child is a separate path
for child in node.children:
self._collect_paths(child, current_path, all_paths)
else: # AND
# Must combine all children
child_paths = []
for child in node.children:
child_sub_paths = []
self._collect_paths(child, [], child_sub_paths)
child_paths.append(child_sub_paths)
# Combine paths from all AND children
combined = self._combine_and_paths(child_paths)
for combo in combined:
all_paths.append(current_path + combo)
def _combine_and_paths(
self,
child_paths: List[List[List[AttackNode]]]
) -> List[List[AttackNode]]:
"""Combine paths from AND node children."""
if not child_paths:
return [[]]
if len(child_paths) == 1:
return [path for paths in child_paths for path in paths]
# Cartesian product of all child path combinations
result = [[]]
for paths in child_paths:
new_result = []
for existing in result:
for path in paths:
new_result.append(existing + path)
result = new_result
return result
def calculate_path_metrics(self, path: List[AttackNode]) -> Dict:
"""Calculate metrics for a specific path."""
leaves = [n for n in path if n.node_type == NodeType.LEAF]
total_difficulty = sum(n.attributes.difficulty.value for n in leaves)
total_cost = sum(n.attributes.cost.value for n in leaves)
total_time = sum(n.attributes.time_hours for n in leaves)
max_detection = max((n.attributes.detection_risk.value for n in leaves), default=0)
return {
"steps": len(leaves),
"total_difficulty": total_difficulty,
"avg_difficulty": total_difficulty / len(leaves) if leaves else 0,
"total_cost": total_cost,
"total_time_hours": total_time,
"max_detection_risk": max_detection,
"requires_insider": any(n.attributes.requires_insider for n in leaves),
"requires_physical": any(n.attributes.requires_physical for n in leaves),
}
def identify_critical_nodes(self) -> List[Tuple[AttackNode, int]]:
"""Find nodes that appear in the most paths."""
paths = self.get_all_paths()
node_counts: Dict[str, Tuple[AttackNode, int]] = {}
for path in paths:
for node in path:
if node.id not in node_counts:
node_counts[node.id] = (node, 0)
node_counts[node.id] = (node, node_counts[node.id][1] + 1)
return sorted(
node_counts.values(),
key=lambda x: x[1],
reverse=True
)
def coverage_analysis(self, mitigated_attacks: Set[str]) -> Dict:
"""Analyze how mitigations affect attack coverage."""
all_paths = self.get_all_paths()
blocked_paths = []
open_paths = []
for path in all_paths:
path_attacks = {n.id for n in path if n.node_type == NodeType.LEAF}
if path_attacks & mitigated_attacks:
blocked_paths.append(path)
else:
open_paths.append(path)
return {
"total_paths": len(all_paths),
"blocked_paths": len(blocked_paths),
"open_paths": len(open_paths),
"coverage_percentage": len(blocked_paths) / len(all_paths) * 100 if all_paths else 0,
"open_path_details": [
{"path": [n.name for n in p], "metrics": self.calculate_path_metrics(p)}
for p in open_paths[:5] # Top 5 open paths
]
}
def prioritize_mitigations(self) -> List[Dict]:
"""Prioritize mitigations by impact."""
critical_nodes = self.identify_critical_nodes()
paths = self.get_all_paths()
total_paths = len(paths)
recommendations = []
for node, count in critical_nodes:
if node.node_type == NodeType.LEAF and node.mitigations:
recommendations.append({
"attack": node.name,
"attack_id": node.id,
"paths_blocked": count,
"coverage_impact": count / total_paths * 100,
"difficulty": node.attributes.difficulty.name,
"mitigations": node.mitigations,
})
return sorted(recommendations, key=lambda x: x["coverage_impact"], reverse=True)
