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grammar.ebnf
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grammar.ebnf
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(* untyped lambda calculus grammar *)
program = { statement }
;
statement = (comment | term), "\n"
;
comment = "#", { character }
;
term = application | abstraction
;
application = atom, application_recurse
;
application_recurse = atom, application_recurse
| epsilon
;
abstraction = lambda, identifier, ".", term
;
atom = "(", term, ")"
| identifier
;
epsilon = "ε"
;
lambda = "λ" | "\"
;
identifier = { character }
;
character = letter | digit | "_"
;
letter = uppercase | lowercase
;
uppercase = "A" | "B" | "C" | "D" | "E" | "F" | "G" | "H" | "I" | "J"
| "K" | "L" | "M" | "N" | "O" | "P" | "Q" | "R" | "S" | "T"
| "U" | "V" | "W" | "X" | "Y" | "Z"
;
lowercase = "a" | "b" | "c" | "d" | "e" | "f" | "g" | "h" | "i" | "j"
| "k" | "l" | "m" | "n" | "o" | "p" | "q" | "r" | "s" | "t"
| "u" | "v" | "w" | "x" | "y" | "z"
;
digit = "0" | "1" | "2" | "3" | "4" | "5" | "6" | "7" | "8" | "9"
;