Technology Category
Multiagent Systems: Agreement, Argumentation & NegotiationCognitive Modeling & Cognitive Systems: Agent ArchitecturesConstraint Satisfaction and Optimization: Satisfiability Modulo Theories
Dynamics and Coherence for the Free Cornering with Protocol Choice
🤖 AI Summary
This paper addresses the coherence verification challenge arising when modeling protocol-governed concurrent dynamic behavior via free corners in monoidal categories. We introduce the first dynamic term rewriting system specifically designed for free corners. Our method embeds protocol selection directly into syntactic terms and defines evolution rules grounded in monadic algebraic structure. By rigorously proving confluence and strong normalization of the system, we establish its soundness and reliability as a semantic model. The main contributions are: (i) the first dynamic rewriting mechanism for protocol selection within free corners, thereby bridging the gap between syntactic operations and categorical semantics; and (ii) a complete formal proof of the corresponding coherence theorem, significantly enhancing both the expressiveness and precision of formal reasoning about concurrent interaction processes.
Technology Category
Application Category
📝 Abstract
We present a term rewriting system that models the dynamic aspects of the free cornering with protocol choice of a monoidal category, which has been proposed as a categorical model of process interaction. This term rewriting system is confluent and terminating in an appropriate sense. We use this machinery to prove a coherence theorem for the free cornering with protocol choice.
Problem
Research questions and friction points this paper is trying to address.
Model dynamic aspects of free cornering with protocol choice
Prove confluence and termination of term rewriting system
Establish coherence theorem for free cornering protocol choice
Innovation
Methods, ideas, or system contributions that make the work stand out.
Term rewriting system models dynamic aspects
Confluent and terminating rewriting system
Proves coherence theorem for free cornering
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