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- From: Pierre Casteran <pierre.casteran AT labri.fr>
- To: agnes gonnet <agnesgon AT hotmail.com>
- Cc: coq-club AT pauillac.inria.fr
- Subject: Re: [Coq-Club] Mutually recursive functions
- Date: Mon, 22 Aug 2005 16:18:18 +0200
- List-archive: <http://pauillac.inria.fr/pipermail/coq-club/>
Hi, agnes,
I have some problems in understanding your example.
In particular, the role played by the parameter list_exp in the recursive call
to eval_op. It is not one of the constituents given by the destructuration of e
(the names of which are given in the error message).
Could you specify informally what should compute eval_exp and eval_op ?
Pierre
agnes gonnet wrote:
Hi,
could anyone explain me what is wrong with the following mutually recursive functions :
Inductive operation : Set :=
|OP2pt : operation
|OPany : operation.
Inductive exp : Set :=
|Espace : exp
|Emot : nat -> exp
|Eop : operation -> list exp -> exp.
Parameter env_extern : list nat.
Parameter list_exp : list exp.
Parameter Et : exp -> exp -> exp.
Parameter in_bool: (nat -> nat -> bool) -> nat -> list nat -> bool.
Fixpoint eval_exp (e:exp) {struct e}: option exp :=
match e with
| Espace => Some Espace
| Emot id => Some (Emot id)
| Eop OP2pt (e1::e2::nil) =>
match (eval_exp e1) with
|Some(Emot id1) => match (eval_exp e2) with
|Some (Emot id2) => if in_bool beq_nat id2 env_extern
then Some Espace
else None
|_ => None
end
|_ => None
end
|Eop Opany (e1::e2::nil) => eval_op list_exp e2
|_ => None
end
with eval_op (l:list exp) (e:exp) {struct l} : option exp :=
match l with
|nil => Some (Espace)
|e1::l1 => match (eval_exp (Eop OP2pt (e1::e::nil))) with
|Some res => match (eval_op l1 e) with
|Some res1 => Some (Et res res1)
|None => None
end
|None => None
end
end.
Thanks.
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- [Coq-Club] Mutually recursive functions, agnes gonnet
- Re: [Coq-Club] Mutually recursive functions, Pierre Casteran
- Re: [Coq-Club] Mutually recursive functions, Pierre Casteran
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