I came upon Langan's work on reality theory by way of language theory due to my 
career-long search for a programming language paradigm within which time 
emerges as rigorously unified with the foundations of physics.  I won't go into 
all the twists and turns this search took from Heinz von Foerster's Cybernetics 
of Cybernetics class at the University of Illinois (circa 1974) to The Boundary 
Institute's support from Federico Faggins, similarly motivate attempt to find a 
superior paradigm for VLSI design languages, but I will say that Langan's work 
seems to me an essential contribution to the field.

The Metaformal System: Completing the Theory of Language 
<https://www.cosmosandhistory.org/index.php/journal/article/view/740/1214>

Christopher Langan

Abstract

The standard theory of languages has two levels, one centering on the study, 
teaching, and application of natural languages, and the other on formal 
languages and formal systems as applied throughout the mathematical and 
empirical sciences, in analytic philosophy, and for computer programming, 
software engineering, artificial intelligence, and related technologies. On 
both of these levels, standard language theory is dualistic, defining languages 
in isolation from their domains of discourse and treating attributes in 
isolation from their objective instances while omitting important properties 
and functions ordinarily provided or executed by language users, automata, or 
physical systems on which they appear to supervene. This decoupling of 
languages from their universes, and from necessary linguistic functions such as 
display, processing, interpretation, and communication, has profound 
epistemological bearing, limiting scientific knowledge by precluding the 
linguistic formulation of any verifiable comprehensive description of reality. 
This paper proposes that in addition to the two existing levels of standard 
language theory involving natural and formal languages and systems, the theory 
of language be recognized to possess a third "metaformal" level on which 
languages and their universes are "wrapped" in a uniquely structured, totally 
self-contained  metalanguage, the Metaformal System, which restores missing 
linguistic functionality while using a supertautological intelligibility 
criterion to generically couple languages with their universes on a fundamental 
level of shared structure and dynamics, thereby restoring the potential for a 
verifiable comprehensive and fully connected understanding of the reality we 
share.
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