Writing, Proofreading and Editing in Information Theory

Area of Science:

• Information theory
• Thermodynamics
• Biomolecular systems

Background:

• Information creation and processing lack a unified mathematical framework.
• Existing theories do not fully capture the dynamics of information generation and revision.
• Biomolecular systems offer a model for efficient information management.

Purpose of the Study:

• To develop a mathematical formalism for information creation (writing) and revision.
• To extend thermodynamic analysis of stochastic chains to abstract symbol strings.
• To provide a unified theory applicable to diverse communication systems.

Main Methods:

• Introduced 'writing' (bit string generation) and 'revision' (proofreading, editing) as core concepts.
• Developed a non-Markovian treatment for operational rules on symbol chains.
• Extended thermodynamic analysis of material chains to abstract information chains.

Main Results:

• Established a mathematical framework for information chains, analogous to material chains.
• Demonstrated how non-Markovian dynamics capture memory effects in information processing.
• Showcased the theory's applicability across various domains.

Conclusions:

• The proposed theory provides a robust mathematical foundation for understanding information.
• This formalism unifies concepts across human languages, computer science, and gene evolution.
• The physical nature of information is further elucidated through this thermodynamic approach.