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term.ml
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term.ml
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type pnterm =
| PNVarName of string
| PNArrow of pnterm * pnterm
| PNOr of pnterm * pnterm
| PNAnd of pnterm * pnterm
| PNTop
| PNBot
let rec pp_print_pnterm_pr pr ppf = function
| PNVarName s ->
Format.fprintf ppf "%s" s
| PNArrow (t,PNBot) ->
Format.fprintf ppf "@[~%a@]"
(pp_print_pnterm_pr 1) t
| PNArrow (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 4 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ ->@ %a"
(pp_print_pnterm_pr 3) t1
(pp_print_pnterm_pr 4) t2;
if pr < 4 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PNAnd (PNArrow (t1,t2),PNArrow (t2t,t1t))
when t1=t1t && t2=t2t ->
Format.fprintf ppf "@[";
if pr < 5 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ <->@ %a"
(pp_print_pnterm_pr 4) t1
(pp_print_pnterm_pr 4) t2;
if pr < 5 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PNAnd (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 2 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ /\\@ %a"
(pp_print_pnterm_pr 1) t1
(pp_print_pnterm_pr 2) t2;
if pr < 2 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PNOr (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 3 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\/@ %a"
(pp_print_pnterm_pr 2) t1
(pp_print_pnterm_pr 3) t2;
if pr < 3 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PNTop ->
Format.fprintf ppf "True"
| PNBot ->
Format.fprintf ppf "False"
let pp_print_pnterm = pp_print_pnterm_pr 5
type pterm =
| PVar of int
| PArrow of pterm * pterm
| POr of pterm * pterm
| PAnd of pterm * pterm
| PTop
| PBot
type name_env = {
mutable maxvar : int;
dict : (string,int) Hashtbl.t;
reverse_dict : (int,string) Hashtbl.t
}
let new_name_env () = {
maxvar = 0;
dict = Hashtbl.create 10;
reverse_dict = Hashtbl.create 100
}
let empty_env = new_name_env ()
let rec convert_name_impl env = function
| PNVarName s ->
begin try
PVar (Hashtbl.find env.dict s)
with Not_found ->
let t = PVar env.maxvar in
Hashtbl.add env.dict s env.maxvar;
Hashtbl.add env.reverse_dict env.maxvar s;
env.maxvar <- env.maxvar + 1;
t
end
| PNArrow (t1,t2) ->
PArrow (convert_name_impl env t1,
convert_name_impl env t2)
| PNAnd (PNArrow (t1,t2),PNArrow(t2t,t1t))
when t1=t1t && t2=t2t ->
let ct1 = convert_name_impl env t1 in
let ct2 = convert_name_impl env t2 in
PAnd (PArrow (ct1,ct2),PArrow(ct2,ct1))
| PNAnd (t1,t2) ->
PAnd (convert_name_impl env t1,
convert_name_impl env t2)
| PNOr (t1,t2) ->
POr (convert_name_impl env t1,
convert_name_impl env t2)
| PNTop -> PTop
| PNBot -> PBot
let convert_name tn =
let env = new_name_env () in
let t = convert_name_impl env tn in
t, env
let rec pp_print_pterm_pr env pr ppf = function
| PVar n ->
begin try
Format.fprintf ppf "%s" (Hashtbl.find env.reverse_dict n)
with Not_found ->
Format.fprintf ppf "?%d" n
end
| PArrow (t,PBot) ->
Format.fprintf ppf "@[~%a@]"
(pp_print_pterm_pr env 1) t
| PArrow (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 4 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ ->@ %a"
(pp_print_pterm_pr env 3) t1
(pp_print_pterm_pr env 4) t2;
if pr < 4 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PAnd (PArrow (t1,t2),PArrow (t2t,t1t))
when t1=t1t && t2=t2t ->
Format.fprintf ppf "@[";
if pr < 5 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ <->@ %a"
(pp_print_pterm_pr env 4) t1
(pp_print_pterm_pr env 4) t2;
if pr < 5 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PAnd (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 2 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ /\\@ %a"
(pp_print_pterm_pr env 1) t1
(pp_print_pterm_pr env 2) t2;
if pr < 2 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| POr (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 3 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\/@ %a"
(pp_print_pterm_pr env 2) t1
(pp_print_pterm_pr env 3) t2;
if pr < 3 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PTop ->
Format.fprintf ppf "True"
| PBot ->
Format.fprintf ppf "False"
let pp_print_pterm env = pp_print_pterm_pr env 5
let rec pp_print_pterm_latex_internal env pr ppf = function
| PVar n ->
begin try
Format.fprintf ppf "%s" (Hashtbl.find env.reverse_dict n)
with Not_found ->
Format.fprintf ppf "?%d" n
end
| PArrow (t,PBot) ->
Format.fprintf ppf "@[\\lnot@ %a@]"
(pp_print_pterm_latex_internal env 1) t
| PArrow (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 4 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\to@ %a"
(pp_print_pterm_latex_internal env 3) t1
(pp_print_pterm_latex_internal env 4) t2;
if pr < 4 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PAnd (PArrow (t1,t2),PArrow (t2t,t1t))
when t1=t1t && t2=t2t ->
Format.fprintf ppf "@[";
if pr < 5 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\leftrightarrow@ %a"
(pp_print_pterm_latex_internal env 4) t1
(pp_print_pterm_latex_internal env 4) t2;
if pr < 5 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PAnd (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 2 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\land@ %a"
(pp_print_pterm_latex_internal env 1) t1
(pp_print_pterm_latex_internal env 2) t2;
if pr < 2 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| POr (t1,t2) ->
Format.fprintf ppf "@[";
if pr < 3 then Format.fprintf ppf "(";
Format.fprintf ppf "%a@ \\lor@ %a"
(pp_print_pterm_latex_internal env 2) t1
(pp_print_pterm_latex_internal env 3) t2;
if pr < 3 then Format.fprintf ppf ")";
Format.fprintf ppf "@]"
| PTop ->
Format.fprintf ppf "\\top"
| PBot ->
Format.fprintf ppf "\\bot"
let pp_print_pterm_latex env pr ppf t =
Format.fprintf ppf "@[$";
pp_print_pterm_latex_internal env pr ppf t;
Format.fprintf ppf "$@]"