A The concepts of "quasimanual" and "manual" in logic

Stephen Tashi
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TL;DR Summary
Are the concepts of "quasimanual" and "manual" specific to the study of quantum logic? - or are they more general? - perhaps concepts from "model theory"?
The paper https://www.whitman.edu/Documents/Academics/Mathematics/klipfel.pdf (beginning page 2``1) describes a model for experiments based (it says) on the book An Introduction To Hilbert Space and Quantum Logic https://www.amazon.com/gp/product/1461388430/?tag=pfamazon01-20. This approach defines structures called "quasimanuals" and "manuals". Are these concepts "out of the blue" and specific to the study of quantum logic? Or do similar ideas have longstanding place in formal logic?
 
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As an aside, i would interpret them as product manuals ie ones you can read and ones so convoluted after translation that you can’t .
 
Stephen Tashi said:
Summary:: Are the concepts of "quasimanual" and "manual" specific to the study of quantum logic? - or are they more general? - perhaps concepts from "model theory"?

The paper https://www.whitman.edu/Documents/Academics/Mathematics/klipfel.pdf (beginning page 2``1) describes a model for experiments based (it says) on the book An Introduction To Hilbert Space and Quantum Logic https://www.amazon.com/gp/product/1461388430/?tag=pfamazon01-20. This approach defines structures called "quasimanuals" and "manuals". Are these concepts "out of the blue" and specific to the study of quantum logic? Or do similar ideas have longstanding place in formal logic?
I just skimmed Klipfel's paper and found it intriguing. It seems to me that Cohen's definitions of quasimanuals and manuals recounted therein are more novel than longstanding. In my view, if it's newer than e.g. the Lambda Calculus, it's not longstanding -- even if the material is of earlier origin, it's more obscure than widespread.
 
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The following is more or less taken from page 6 of C. Smorynski's "Self-Reference and Modal Logic". (Springer, 1985) (I couldn't get raised brackets to indicate codification (Gödel numbering), so I use a box. The overline is assigning a name. The detail I would like clarification on is in the second step in the last line, where we have an m-overlined, and we substitute the expression for m. Are we saying that the name of a coded term is the same as the coded term? Thanks in advance.

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