singleton list (`A) in Coq? -


i trying understand , compile linear logic formalization in coq: http://www.cs.nuim.ie/~jpower/research/linearlogic/ http://www.cs.nuim.ie/~jpower/research/linearlogic/ill.v

here code:

inductive lincons : (list ilinprop) -> ilinprop -> prop :=  (* structural rules *)  identity :    (a:ilinprop)     (`a |- a) | exchange :    (a,b,c : ilinprop)(d1,d2 : (list ilinprop))   ((d1 ^ `a ^ `b ^ d2 |- c) -> (d1 ^ `b ^ `a ^ d2 |- c)) ...

but code not compile, giving error message syntax error: lexer: undefined token code piece `a.

it said in accompanying article ` simbol denotes singleton list consisting 1 element , ^ symbol if concatenation of lists.

so - why recent (coqide 8.6.1) coq not recognize symbols , should import addidional theories @ start of ill.v file?

the syntax file uses defined in morelists file part of development. however, paper written in 1999, , version of coq used there has little current one. sadly, seems need lot of work port development work now. instance, coq had different set of basic tactics, different standard library, , different syntax extension mechanism.


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