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Oraclizer Research

Oraclizer Core

Proving Cross-Domain State Preservation: The Journey

Proving Cross-Domain State Preservation: The Journey

The core theorem regulatory_homomorphism is proven without sorry. Three lessons from the proof journey: fold-to-lambda redesign that improved both tractability and semantic accuracy, four failed attempts at existential quantification in Isabelle, and the 11 auxiliary lemmas that built the infrastructure for the 7-step proof.
Oraclizer Core ⋅ Mar 18, 2026
Formalizing Cross-Domain State Preservation in Isabelle/HOL

Formalizing Cross-Domain State Preservation in Isabelle/HOL

Three decisions shaped the state preservation model: replacing partial synchrony with atomic sync, constructing a 4-tier locale hierarchy in State_Preservation.thy, and discovering that valid_state emerges as an inductive invariant. This documents every modeling choice behind 1,436 lines of Isabelle/HOL.
Oraclizer Core ⋅ Mar 18, 2026
The Institutional Tokenization Ceiling: Why Every Pilot Succeeds and Every Scale-Up Stalls

The Institutional Tokenization Ceiling: Why Every Pilot Succeeds and Every Scale-Up Stalls

Global financial institutions have collectively tokenized billions in assets, yet every initiative shares the same structural limitation: success within controlled boundaries. This research analyzes BlackRock, JP Morgan, HSBC, Goldman Sachs, and Canton Network to extract three common bottlenecks blocking pilot-to-production transition, and derives the infrastructure requirements for RWA 2.0.
Oraclizer Core ⋅ Mar 11, 2026
Message Types and Routing: The OIP Communication Protocol

Message Types and Routing: The OIP Communication Protocol

OIP defines seven message types and a Content-Based Routing protocol that determines delivery paths from message content itself. This specification completes the communication backbone before the v0.5 checkpoint by connecting Lock Status, regulatory actions, and address resolution into a system that actually moves.
Oraclizer Core ⋅ Mar 04, 2026
Defining Cross-Domain State Preservation: What Are We Proving?

Defining Cross-Domain State Preservation: What Are We Proving?

This article documents our semi-formal specification for Property 1, cross-domain state preservation homomorphism. We define five regulatory states and seven actions, fix a partially synchronous network with honest nodes, introduce preemptive locking, and explain renaming the Regulatory State Functor to the Cross-Domain State Preservation Functor as a generic locale.
Oraclizer Core ⋅ Feb 28, 2026
Higher-Order Logic as a Design Language: Why Our Verification Requires HOL

Higher-Order Logic as a Design Language: Why Our Verification Requires HOL

Cross-chain regulatory homomorphism demands quantification over state transition functions, a statement structurally impossible in first-order logic. This article derives the necessity of Higher-Order Logic from Oraclizer's verification target, introduces Isabelle/HOL through regulatory state modeling, and grounds the Regulatory State Functor in category theory.
Oraclizer Core ⋅ Feb 25, 2026
Why We’re Starting Formal Verification: Applying Our Own Standard

Why We’re Starting Formal Verification: Applying Our Own Standard

We argued RWA infrastructure needs mathematically provable compliance. Now we apply that standard to ourselves. This is the first entry in Oraclizer's formal verification journey: using Isabelle/HOL to verify cross-chain regulatory state synchronization preserves structural correctness at the design level, before any production code exists.
Oraclizer Core ⋅ Feb 21, 2026
Introducing Our New Research Domain: Proofs

Introducing Our New Research Domain: Proofs

Oraclizer Research introduces Proofs, a dedicated category documenting our formal verification of cross-chain regulatory properties using Isabelle/HOL — machine-checked mathematical guarantees for compliant tokenized asset infrastructure.
Oraclizer Core ⋅ Feb 21, 2026
From Isabelle/HOL to Compliance-Aware Infrastructure: Why RWA Needs Provable Compliance

From Isabelle/HOL to Compliance-Aware Infrastructure: Why RWA Needs Provable Compliance

RWA infrastructure today relies on audits and runtime checks that find individual bugs but cannot guarantee system-wide regulatory coherence. Analyzing how Digital Asset formally verified DAML with Isabelle/HOL, this research explores why tokenized capital markets will demand provable compliance and how compliant-by-design architecture can deliver it.
Oraclizer Core ⋅ Feb 14, 2026
Slashing Mathematics: Enforcing Security Through Economic Penalties

Slashing Mathematics: Enforcing Security Through Economic Penalties

This research designs a slashing framework for Oraclizer's oracle state machine, distinguishing penalties (liveness faults) from slashing (safety violations) based on Ethereum and Cosmos precedents. We derive violation-specific slashing rates from expected loss calculus, introduce oracle-specific infraction categories including invalid state proofs and regulatory non-compliance, and formalize dynamic adjustment mechanisms with circuit breakers for token price volatility.
Oraclizer Core ⋅ Feb 11, 2026
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