Not quite a correction, but an important addendum to the last part ("Legacy") 
is type abstraction, which Mike Gordon suggested for HOL (but didn't 
implement), shaping future research. He already foresaw a binding of variables 
connecting both term and type (subscript) level. (Gordon positively refers to 
Tom Melham's extension of HOL [Gordon, 2000, p. 175, fn. 7]. R0 incorporates 
type abstraction as a standard feature.)

Mike Gordon suggesting type abstraction for HOL: “The syntax and semantics of 
type variables are currently being studied by several logicians. A closely 
related area is the theory of ‘second order’ λ-terms like λα. λx:α. x, perhaps 
such terms should be included in the HOL logic.” [Gordon, 2001, p. 22]

        http://www.owlofminerva.net/files/fom.pdf 
<http://www.owlofminerva.net/files/fom.pdf>, p. 7

Besides this, the article is excellent.
I was astonished that it even mentions the awareness of social class 
distinctions (white vs. brown coats), as in
        
http://www.cl.cam.ac.uk/archive/mjcg/plans/NorthThamesGasBoard.html#white-versus-brown-coats
 
<http://www.cl.cam.ac.uk/archive/mjcg/plans/NorthThamesGasBoard.html#white-versus-brown-coats>
        https://arxiv.org/pdf/1806.04002.pdf 
<https://arxiv.org/pdf/1806.04002.pdf>, p. 2


Ken Kubota

____________________________________________________


Ken Kubota
http://doi.org/10.4444/100 <http://doi.org/10.4444/100>



> Am 07.07.2018 um 16:16 schrieb Lawrence Paulson <l...@cam.ac.uk>:
> 
> Colleagues may be interested in my biographical article on Mike Gordon, whose 
> promotion of higher-order logic has had such a profound impact on our field.
> 
> https://arxiv.org/abs/1806.04002
> 
> Corrections welcome.
> 
> Larry Paulson
> 
> 
> 
> 
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