By K. M. Bosworth
Communications of the ACM,
Vol. 6 No. 3, Page 105
The proof of the non-existence of a phrase structure grammar for ALGOL 60 by Robert W. Floyd [Comm. ACM 5 (Sept. 1962)] depends on the assumption that a syntactically correct ALGOL program must be a block. The concept of “program” is defined ambiguously in the ALGOL Report, as pointed out by Naur , but it is generally accepted that a program is defined as a self-contained statement. If this definition is taken, Floyd's proof becomes incomplete in that it ignores the fact that the following are syntactically correct ALGOL programs:
- begin; end
- begin end
- &lpargt;dummy statement⦔
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