Research

Technical Publications

Foundational research on semantic communication, agent metering, and autonomous commerce protocols.

Information TheorySemantic CommunicationMathematical FoundationsIn Preparation

Semantic Information Theory: A Complete Mathematical Framework Unifying Meaning and Information

A landmark extension of Shannon's information theory to semantic content. We formalize 'semantic information' as a measurable quantity distinct from syntactic entropy, prove rate-distortion bounds for meaning-preserving compression, and establish the theoretical foundations for cross-model AI communication.

Marc Anthony Giammarco

2025

73,000+ words • 84 Chapters • 10 Core Theorems • 628 Citations

Multi-Agent SystemsSemantic CompressionCross-Model CommunicationIn Preparation

Semantic Intermediate Representation (SIR): A Formal Framework for Cross-Model Agent Communication

We introduce SIR, a universal representation enabling AI agents built on different foundation models to communicate meaning with provable semantic preservation. The framework includes formal proofs of the R_SIR(D) rate-distortion bound and empirical validation across 12 foundation models.

Marc Anthony Giammarco

2025

116 pages • 175 Theorems • 123 Definitions • 57 Lemmas

Agent MeteringBlockchain SettlementFormal VerificationIn Preparation

Cognition Execution Units (CEU-1): A Formal Framework for Metering Trust and Value in Multi-Agent Systems

We introduce CEU-1, a formal primitive that captures the complete lifecycle of agent interactions from cost estimation through cryptographic settlement. The 8-stage lifecycle provides formal atomicity, immutability, and verifiability guarantees.

Marc Anthony Giammarco

2025

17,000 words • 13 Theorems • 8-Language Polyglot Implementation

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