Donald E. Knuth lived two separate lives in the late 1950s. During
daylight he ran down the visible and respectable lane of
mathematics. During nighttime, he trod the unpaved road of computer
programming and compiler writing. Both roads intersected -- as
Knuth discovered while reading Noam Chomsky's book Syntactic
Structures on his honeymoon in 1961. "Chomsky's theories fascinated
me, because they were mathematical yet they could also be
understood with my programmer's intuition. It was very curious
because otherwise, as a mathematician, I was doing integrals or
maybe was learning about Fermat's number theory, but I wasn't
manipulating symbols the way I did when I was writing a compiler.
With Chomsky, wow, I was actually doing mathematics and computer
science simultaneously." How, when, and why did mathematics and
computing converge for Knuth? To what extent did logic and Turing
machines appear on his radar screen? The early years of convergence
ended with the advent of Structured Programming in the late 1960s.
How did that affect his later work on TeX? And what did "structure"
come to mean to Knuth? Shedding light on where computer science
stands today by investigating Knuth's past -- that's what this
booklet is about.
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