Completed

Field-Theoretic Memory Systems

Paper complete · January 2026

Memory systems for AI agents modeled as continuous fields rather than discrete key-value stores. Enables smooth interpolation, natural decay, and principled attention over long contexts.

Key Ideas

  • Memory as continuous scalar/vector fields
  • Gaussian kernel attention for smooth retrieval
  • Temporal decay with configurable half-lives
  • Extension of FTCS (Field-Theoretic Context System)

Verified Synthesis (Verity)

Paper complete · January 2026

A framework for verified code generation using the CE2P hypothesis: Confidence, Error rate, Effort, and Progress are sufficient signals to verify correctness without ground truth.

Key Ideas

  • CE2P: Four measurable signals that predict correctness
  • DistSynth-50: Benchmark of 50 distributed systems tasks
  • 274x speedup over manual implementation

Adversarial Evolution (Red Queen)

Paper complete · January 2026

Evolutionary algorithms for adversarial testing of trust systems. Systems must constantly evolve to survive against co-evolving adversaries.

Key Ideas

  • Genetic algorithms for attack pattern generation
  • Semantic-level mutation (not just parameter fuzzing)
  • Co-evolutionary dynamics between attack and defense

Trust Cascade Theory

Paper complete · January 2026

Formal mathematical framework for ROI-based decision routing in multi-tier trust systems. Proves convergence of self-learning rules and optimality of cascade architectures.

Key Ideas

  • Economic formalization of escalation decisions
  • APLS convergence proof
  • Domain-agnostic cascade design principles

Active

Sparse Trust Circuits

Q1-Q2 2026 · Target: NeurIPS 2026

Using sparse autoencoders to discover interpretable "trust circuits" in large language models. Mechanistic interpretability applied to AI safety and sandbagging detection.

Graph Trust Propagation

Q2-Q3 2026 · Target: KDD 2026

Graph neural networks for modeling trust propagation through entity networks. Applications to KYC/AML in financial services.

Planned

Agent Memory Security

Q3-Q4 2026

Security implications of persistent memory in AI agents. Attack vectors include memory poisoning, extraction, and manipulation.

Compositional Trust Verification

Q4 2026

Formal verification of trust properties in multi-agent systems.

Adversarial World Models

2027

Using world models to simulate adversarial scenarios for trust testing.

Efficient Trust Inference

2027

Inference optimization for trust decision systems. Cascade-aware batching, confidence-based early exit.