Temporal Model On Quantum Logic

TL;DR

This paper presents a comprehensive theoretical framework for modeling temporal memory dynamics using temporal logic, decay models, and hierarchical structures, offering new insights into memory evolution and recall mechanisms.

Contribution

It introduces a unified formal model combining temporal logic, decay, and hierarchical memory organization, advancing understanding of memory processes.

Findings

Incorporates exponential decay and Bayesian reactivation mechanisms.

Models hierarchical memory with directed acyclic graphs.

Provides insights into feedback and recursive influences in memory chains.

Abstract

This paper introduces a unified theoretical framework for modeling temporal memory dynamics, combining concepts from temporal logic, memory decay models, and hierarchical contexts. The framework formalizes the evolution of propositions over time using linear and branching temporal models, incorporating exponential decay (Ebbinghaus forgetting curve) and reactivation mechanisms via Bayesian updating. The hierarchical organization of memory is represented using directed acyclic graphs to model recall dependencies and interference. Novel insights include feedback dynamics, recursive influences in memory chains, and the integration of entropy-based recall efficiency. This approach provides a foundation for understanding memory processes across cognitive and computational domains.