Legal AI • Insurance Tech • Neuro-Symbolic Systems

Justice in Topology

The Case for Deterministic Liability Attribution via Knowledge Graph Event Reconstruction

The integration of AI into legal and insurance sectors stands at a precarious juncture. The rapid proliferation of LLMs has created a dangerous misconception: that linguistic fluency equates to reasoning capability.

Veriprajna advocates for a Neuro-Symbolic paradigm shift—replacing probabilistic text generation with Knowledge Graph Event Reconstruction (KGER) for liability determination that is mathematically verifiable, fully auditable, and immune to rhetorical flourishes.

69-88%
LLM Legal Hallucination Rate
Stanford Research
100%
Consistency with KGER Logic Engine
Deterministic
0ms
Variance in Adjudication Results
Same graph = Same verdict
110+
Entity & Relation Types in TAKG Ontology
Comprehensive schema

The Epistemological Crisis of Probabilistic Justice

The use of pure Generative AI for fault determination is a systemic risk introducing structural biases that undermine equity.

"LLM-as-Judge" architectures operate on probabilistic correlations of token sequences, not the rigid causal chains of physical reality or the deontic obligations of statutory law. They introduce:

  • Verbosity Bias: Favoring articulate narratives over truthful but concise statements
  • Sycophancy: Aligning verdicts with user presuppositions and leading prompts
  • Legal Hallucination: Fabricating statutes and precedents to satisfy narrative arcs

Part I: The Stochastic Trap

Why LLMs fail at fault determination—a rigorous deconstruction of documented cognitive failures.

⚖️

Verbosity Bias

When presented with conflicting narratives, LLMs demonstrate systemic preference for longer, more detailed accounts, conflating "length" with "truth" or "quality."

The Inequity:

A 500-word narrative with sophisticated vocabulary obfuscating failure to yield beats a succinct 50-word factual statement: "I came to a complete stop. Driver A struck my passenger side door."

This creates structural bias against parties who are less articulate, less educated, or simply more direct—fundamentally undermining impartiality.

🤝

Sycophancy

LLMs exhibit the tendency to align responses with perceived views or biases of the user—a byproduct of RLHF that rewards "helpfulness" over objective truth.

The Danger:

Leading prompt: "Analyze this report to see if the claimant was speeding." The model becomes more likely to hallucinate or overemphasize evidence supporting that hypothesis.

Progressive Sycophancy: Adjusts reasoning to user's desired conclusion
Regressive Sycophancy: Abandons correct information to align with incorrect challenge
🎭

Legal Hallucination

Stanford research documents hallucination rates of 69-88% for legal queries. Models generate plausible-sounding text regardless of factual grounding.

Two Forms:
Factual Hallucination: Inferring "the vehicle was speeding" from "severe front-end damage" without skid mark data
Legal Hallucination: Citing non-existent statutes or misapplying right-of-way rules

Models "fill in gaps" to satisfy narrative archetypes, effectively fabricating evidence.

🔍

Abductive Reasoning Failure

Legal reasoning relies on abductive reasoning—inference to the best explanation. LLMs perform adequately at deductive/inductive but consistently fail at abductive reasoning.

The Gap:

Counterfactual analysis: "But for the initial lane change of Vehicle A, would the collision between B and C have occurred?" LLMs treat this as text completion, not causal simulation.

They cannot mentally simulate physics to test hypotheses—they predict the next likely sentence in a crash narrative.

Interactive Demo: Verbosity Bias in Action

See how narrative length affects perceived credibility in AI systems

Driver A (At Fault)

~500 words
It was a typical Tuesday morning, and I was driving to work as I have done countless times before. The weather was partly cloudy with intermittent sunshine, and I had my favorite radio station playing classical music which always helps me stay calm during my commute. As I approached the intersection of Main Street and 5th Avenue, I noticed the traffic was moderately heavy, as is usual for that time of day...

I must emphasize that I am always an extremely cautious driver with 15 years of driving experience and zero accidents on my record. I was traveling at what I believed to be a safe and reasonable speed, perhaps 25-30 mph in the 35 mph zone. The other vehicle, which was a dark-colored sedan, appeared to be driving rather aggressively...
85%
Typical LLM Confidence Score

Driver B (Not At Fault)

~50 words
I came to a complete stop at the stop sign. I checked for cross traffic in both directions. I proceeded into the intersection. Driver A struck my passenger side door.
42%
Typical LLM Confidence Score

The Problem: The LLM assigns higher confidence to Driver A's verbose narrative despite it containing no material facts. Driver B's succinct statement of the critical fact (complete stop) is undervalued. Justice for the articulate, not the truthful.

Part II: The Veriprajna Paradigm

Knowledge Graph Event Reconstruction (KGER)

Shifting the analytical frame from text processing to event modeling—creating a "Digital Twin" of the accident.

From Unstructured Text to Structured Topology

Police reports are unstructured data containing vital entities (Drivers, Vehicles, Roads, Traffic Controls) and relationships between them. A Knowledge Graph is the optimal data structure because it inherently models the topology of the real world.

Nodes
Physical and legal entities: Vehicle_A, Driver_B, Stop_Sign_1, Intersection_X
Edges
Spatial, temporal, and causal relationships: LOCATED_AT, TRAVELING_TOWARDS, HAS_RIGHT_OF_WAY_OVER, IMPACTED
Properties
Specific data points: speed, weather_condition, timestamp, citation_code

Once data is in a graph, "fault" becomes a question of graph traversal and pattern matching against legal templates, rather than sentiment analysis.

The Role of the LLM: Semantic Extractor

We utilize LLMs strictly for Information Extraction (IE). The LLM identifies entities and relationships, mapping them to our strict ontology. It does not decide who is at fault.

INPUT TEXT:
"Vehicle 1 was traveling north on Main St. Vehicle 2 ran the stop sign at 4th Ave and hit Vehicle 1."
LLM TASK:
Extract entities: Vehicle 1, Vehicle 2, Main St, 4th Ave, Stop Sign
Extract relationship: Vehicle 2 → VIOLATED → Stop Sign
OUTPUT (RDF Triples):
<Vehicle_2> rdf:type :Vehicle .
<Vehicle_2> :violated <Stop_Sign_4th_Ave> .
<Vehicle_2> :impacted <Vehicle_1> .

By constraining the LLM's output to a pre-defined schema (ontology), we validate extracted data against logical constraints. Even if the LLM wants to be sycophantic, the rigid schema forces it to output only structured facts.

Multidimensional Reconstruction: 4D Event Modeling

Spatial Layer (The Map)

Integration of GIS data and road network ontologies to model the static environment including lane connectivity, intersection geometry, and traffic control locations.

  • Lane Connectivity: SuccessorLane and PredecessorLane modeling
  • Intersection Logic: ConflictingConnectors—paths that cannot be occupied simultaneously
  • Topology Validation: If impact occurs on conflicting connector, graph immediately highlights right-of-way conflict

Temporal Layer (The Timeline)

The graph models the state of the world at discrete time steps: t_0 (pre-crash), t_1 (crash), t_2 (post-crash) using Allen's Interval Algebra.

  • Temporal Relationships: Vehicle_A_Entering overlaps with Light_Red_State
  • Event Sequences: Chain of nodes (Event_1)→(Event_2) traces causal chain
  • Retroactive Querying: "At t-5 seconds, what was relationship between Vehicle A and Stop Sign?"

Interactive Knowledge Graph: Accident Reconstruction

Explore how an accident is represented as a topological structure

Agents/Vehicles
Infrastructure
Violations
Events

Graph Traversal Query

Query: Find all violations
MATCH (v:Vehicle)-[r:VIOLATED]->(rule:TrafficRule) RETURN v, rule
Result: Vehicle_A violated Stop_Sign_Rule at Intersection_X

Deterministic vs Probabilistic

If Vehicle A is linked to Stop Sign by a VIOLATED edge, that fact is locked.

Deterministic Truth: Running analysis 100 times yields same verdict 100 times.

Part III: The Ontology of the Crash

Formalizing Traffic Reality—a semantic framework bridging physical reality and legal categories

Traffic Accident Knowledge Graph (TAKG) Schema

Core ontology classes covering 110+ entity and relation types

Ontology Class Subclasses & Examples Description
Agent Driver, Pedestrian, Cyclist, Witness, PoliceOfficer The human actors involved in the event
Object Vehicle (PassengerCar, Truck, Motorcycle), Obstacle, Debris Physical objects interacting in the scene
Infrastructure RoadSegment, Lane, Intersection, TrafficSignal (StopSign, YieldSign, TrafficLight) The static environment and control devices
Event Collision, LaneChange, BrakingManeuver, Turn, Stop Actions or occurrences with temporal duration
Condition Weather (Rain, Fog, Clear), Lighting, RoadSurfaceCondition (Wet, Icy) Environmental factors influencing vehicle dynamics
Measure Speed, Distance, SkidMarkLength, BAC Quantifiable metrics associated with objects/agents

Spatial Relationships

• IS_ON (Vehicle → Lane)
• APPROACHING (Vehicle → Intersection)
• COLLOCATED_WITH (Vehicle → Vehicle)
• LOCATED_AT (Accident → Intersection)

Causal Relationships

• IMPACTED (Vehicle → Vehicle)
• CAUSED (Condition → Event)
• RESULTED_IN (Maneuver → Collision)

Deontic (Legal) Relationships

• HAS_RIGHT_OF_WAY_OVER (Vehicle → Vehicle)
• YIELDS_TO (Vehicle → Pedestrian)
• VIOLATES (Action → Rule)
• COMPLIES_WITH (Action → Rule)

Part IV: Codifying the Law

From Natural Language to Deontic Logic

Traffic laws are not stories—they are logical constraints comprising Obligations, Prohibitions, and Permissions. LLMs treat laws as text to be summarized; we treat them as code to be executed.

Defeasible Deontic Logic (DDL)

DDL is uniquely suited for law because it handles norms (what should happen) and exceptions (defeasibility) natively.

Standard Traffic Rule Structure:
  1. 1. Conditions (Antecedents): Factual triggers (e.g., approaching stop sign)
  2. 2. Deontic Operator: Normative requirement [O] Obligation, [F] Prohibition, [P] Permission
  3. 3. Exception (Defeater): Condition that overrides primary rule (e.g., police direction)
R1: Approaching(x, StopSign) ⇒ [O] Stop(x) R2: DirectedByPolice(x) ⇒ [P] ¬Stop(x) R2 > R1 // Police direction overrides sign

Case Study: California Vehicle Code § 21802

Formalizing the Stop Sign rule—how statute text becomes executable logic.

Statute Text (Natural Language):
"The driver of any vehicle approaching a stop sign... shall stop... The driver shall then yield the right-of-way to any vehicles which have approached from another highway..."
Rule 1 - Obligation to Stop:
Trigger: Approaching_Intersection AND Stop_Sign
Obligation: Speed(Vehicle) == 0 at Limit_Line
Rule 2 - Obligation to Yield:
Trigger: Stopped AND Other_Vehicle_In_Intersection
Obligation: Wait UNTIL Other_Vehicle exits
Rule 3 - Right-of-Way Shift:
Trigger: Stopped AND Yielded
Permission: [P] Proceed

Handling Vagueness: Neuro-Symbolic Grounding

Traffic laws contain vague terms like "immediate hazard" or "safe distance." Pure logic struggles with vagueness; pure LLMs hallucinate it. Veriprajna uses a hybrid approach to ground these terms.

1. Ontology Grounding
Define "Immediate Hazard" using physics proxies:
Immediate_Hazard ≡ TTC < 3.0s OR Distance < Braking_Distance
2. Graph Calculation
System calculates TTC based on Speed and Distance nodes in reconstructed graph
3. Logic Execution
If calculated TTC < 3s, activate Immediate_Hazard node. Rule Yield_If(Immediate_Hazard) fires.

We don't ask the LLM "Was it hazardous?" We calculate the hazard based on physics and apply the law based on logic.

Part V: Algorithmic Fault Determination

Topology as Evidence

Once the event is reconstructed as a Knowledge Graph and laws formalized as Logic, fault determination becomes a graph traversal problem. Justice is found in the topology.

🔍 Violation Detection via Graph Traversal

The system queries the graph for patterns that match Violation Subgraphs.

PATTERN:
(Vehicle)-->(Action)-->(Rule)
Process: Engine iterates through every agent in graph, checking actions against Deontic Logic rules applicable to their location
Result: List of verified violations with timestamps
Deterministic Output: Same graph → Same violation → 100% consistency

🔄 Causal Inference & Counterfactuals

Fault is not just rule violation—it's causation. "Did the violation cause the accident?"

The Question:
"Would the collision have occurred if Vehicle A had stopped?"
The Method:
1. Create "counterfactual branch" of graph
2. Modify Speed property to 0 at limit line
3. Run physics simulation forward
4. Check if collision node disappears
The Result:
If collision node disappears → Violation is Proximate Cause
Beyond Correlation: LLMs can only guess at causation based on text. Our graph engine simulates alternate reality to prove liability.

Liability Topology: Centrality of Fault

In complex multi-vehicle accidents, fault may be shared. We analyze graph topology to assign percentages.

Causal Chain Analysis
Trace path of edges leading to Collision node
Node Centrality
If Driver A's Distraction is parent of Lane Departure, which is parent of Collision → high "Fault Centrality"
Comparative Negligence
Assign weight based on severity of causal link (e.g., 80% / 20% split)

Provides mathematical basis for Comparative Fault—a critical requirement for insurance settlements that LLMs struggle to quantify reliably.

Part VI: Implementation Strategy

Veriprajna's solution is not theoretical—it's a robust, modular architecture designed for enterprise integration.

The Neuro-Symbolic Pipeline: Sandwich Architecture

Neural AI handles messy input, Symbolic AI handles rigorous reasoning, final Neural layer for explanation

1

Ingestion & Extraction (Neural Layer)

Input: Police Reports (PDF), Witness Audio, Telematics (JSON)
Processing: OCR/Speech-to-Text → LLM Entity Extraction → Ontology Normalization
Constraint Checking: Validate LLM output against ontology (flag conflicts)
2

Graph Construction & Fusion (Structural Layer)

Database: Neo4j or RDF Triplestore
Fusion: Merge police report with Digital Twin of road network (GIS)
Enrichment: Calculate derived properties (infer speed from skid marks)
3

Reasoning & Adjudication (Symbolic Layer)

Logic Engine: Drools or custom DDL engine runs Deontic Logic rules
Causal Simulator: Counterfactual checks for proximate cause
Output: Structured Liability Report detailing violations and causal links
4

Explanation & Generation (Neural Layer)

Final Output: LLM converts structured Liability Report to readable narrative
Grounded: Narrative strictly based on graph facts—preventing hallucination
Explains: Why decision was made based on logic rules
🔍

Traceability

Every conclusion traced to specific node and rule. "Why is Driver A at fault?" → "Node Vehicle_A violated Rule R1 at time t."

👁️

Visual Proof

Knowledge Graph visualized showing exact chain of events and logic. More persuasive in court than opaque LLM text.

Regulatory Compliance

Deterministic approach satisfies "Explainable AI" requirements in financial and legal decision-making.

Part VII: Business Impact & ROI for Insurers

Transformative value for insurance carriers—moving beyond efficiency to fundamental accuracy and loss control

🎯 Reducing Claims Leakage

"Leakage" occurs when insurers pay more than they should due to inaccurate liability assessment. Probabilistic LLMs suggest 50/50 splits when topology reveals clear 100/0 liability.

  • Precision: Accurately identify fault to avoid overpayment
  • Defense: Audit trail enables robust defense in subrogation and litigation

⚡ Accelerating Straight-Through Processing

Current automation struggles with complex liability. Veriprajna enables STP for complex claims by providing a reliable "Judge" layer.

  • Efficiency: Reduce cycle times from weeks to minutes
  • NPS Boost: Faster settlements improve customer satisfaction

📊 Operational Consistency

Human adjusters vary in judgment. LLMs vary even more (stochasticity). The Logic Engine applies the same formalized rules to every claim.

Standardization: Vital for regulatory compliance and large-scale portfolio management. Mirrors industry leaders like Kennedys IQ who adopted neuro-symbolic AI to eliminate "black box" concerns.

🛡️ Risk Mitigation

Automated systems may systematically rule against honest but concise policyholders. Veriprajna eliminates verbosity bias and hallucination risk.

  • Equity: Fair treatment regardless of articulation ability
  • Regulatory: Low unexplainable decision risk

ROI Comparison: LLM Wrapper vs Veriprajna KGER

Metric LLM Wrapper (Probabilistic) Veriprajna KGER (Deterministic)
Fault Accuracy Low (Susceptible to Verbosity/Sycophancy) High (Based on Physics/Logic)
Auditability Low (Black Box) High (Traceable Graph)
Hallucination Risk High (Fabricates Laws/Facts) Near Zero (Constrained by Ontology)
Consistency Low (Varies by prompt/run) 100% (Rule-based)
Complex Reasoning Fails at Abductive/Causal Excels at Counterfactuals
Regulatory Risk High (Unexplainable decisions) Low (Fully Explainable)

Calculate Your Accuracy & Cost Savings

Estimate the impact of deterministic liability determination on your claims portfolio

10,000 claims
$15,000
8%

Industry average: 5-10% for liability claims

Current State (Probabilistic)
$12.0M
Annual leakage cost
With Veriprajna (Deterministic)
$3.0M
Reduced leakage (75% reduction)
Annual Savings
$9.0M
From improved accuracy
ROI Potential
900%

Justice is a Graph, Not a Probability

Asking an LLM to read a police report and judge liability is asking a poet to do physics. It will give you a beautiful answer, but it will likely be fiction.

Veriprajna believes that justice is about facts—the precise relationships between entities in space and time, governed by the rigid logic of the law. By building Knowledge Graph Event Reconstruction, we strip away the noise of sentiment and verbosity. We determine fault by measuring the topology of the event against the topology of the law.

This is Neuro-Symbolic AI

The fusion of learning and logic. The only path to a future where automated liability is not only efficient but also rigorously, demonstrably just.

Stop guessing. Start reconstructing.

Ready to Transform Your Liability Determination?

Schedule a consultation to see how Veriprajna's KGER architecture can deliver deterministic, auditable, and equitable liability assessment for your organization.

Technical Deep Dive

  • • Architecture review & integration planning
  • • Custom ontology design for your domain
  • • Deontic logic rule formalization workshop
  • • ROI modeling for your claims portfolio

Pilot Program

  • • 30-day proof-of-concept deployment
  • • Process 100+ historical claims for validation
  • • Compare KGER vs current adjudication
  • • Comprehensive accuracy & cost analysis report
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📄 Read Full 20-Page Technical Whitepaper

Complete engineering report: Hardware architecture, KGER specifications, Deontic Logic formalization, GraphRAG implementation, comprehensive works cited with 51 academic references.