From d93a2169d90597ffc5cefab795c951c3b3e75bd3 Mon Sep 17 00:00:00 2001 From: julia Date: Fri, 30 Jun 2023 17:46:14 +0200 Subject: [PATCH] adding alpha conversion --- lambda/lambda.ml | 21 +++++++++++++++++++++ lambda/main.ml | 6 ++++++ lambda/tab1.png | Bin 0 -> 254627 bytes lambda/tab2.png | Bin 0 -> 220826 bytes 4 files changed, 27 insertions(+) create mode 100644 lambda/tab1.png create mode 100644 lambda/tab2.png diff --git a/lambda/lambda.ml b/lambda/lambda.ml index ac9063d..e00291d 100644 --- a/lambda/lambda.ml +++ b/lambda/lambda.ml @@ -29,6 +29,25 @@ let rec beta = function | App (Lambda (x, t), u) -> subst t [(x, u)] | _ -> failwith "This term is not a redex" +(* return i where i is the smallest suffix needed so that "x ^ i" isn't in l *) +let rec var_counter i x l = + if List.mem (x ^ (string_of_int i)) l then var_counter (i+1) x l + else i + +(* Alpha Conversion : renames lambda variables duplicates by adding a number to them*) +let alpha_conv t = + let rec aux l = function + | Var x when List.mem x l -> + let i = string_of_int ( (var_counter 0 x l) - 1) in + if i = "-1" then Var x + else Var (x^i) + | Var x -> Var x + | Lambda(x, t) when List.mem x l -> + let i = string_of_int (var_counter 0 x l) in + Lambda (x^i, aux ((x^i)::l) t) + | Lambda(x, t) -> Lambda (x, aux (x::l) t) + | App (t, u) -> App (aux l t, aux l u) + in aux [] t (* --------------------------------------- Exemples --------------------------------------- *) @@ -145,3 +164,5 @@ let rec cbn = function let rec cbn_eval t = try let t' = cbv t in cbn_eval t' with Irreductible -> t + + diff --git a/lambda/main.ml b/lambda/main.ml index 9aa36bc..07833c8 100644 --- a/lambda/main.ml +++ b/lambda/main.ml @@ -49,6 +49,12 @@ let _ = let t = termc Lexer.read lexbuf in print_endline (string_of_term t) with _ -> print_endline "Syntax error. Please try again.") + | "alpha"::string_list -> + let lexbuf = Lexing.from_string (String.concat " " string_list) in + (try + let t = termc Lexer.read lexbuf in + print_endline (string_of_term (alpha_conv t)) + with _ -> print_endline "Syntax error. Please try again.") | ["cbn"; "-f"; filename] -> begin try let lexbuf = Lexing.from_channel (open_in filename) in diff --git a/lambda/tab1.png b/lambda/tab1.png new file mode 100644 index 0000000000000000000000000000000000000000..91c2e8edd2f6710c78200899cee7265a47eb5b1d GIT binary patch literal 254627 zcmdSBc{J7g-v_#rgfc`$GNgeYu$hDx@+CmKI?RjZSU{*GrZrg>GKUfp{~lt%EwBfP}q(f zR@S0WmP%77i!U)V;s12Cd%EIZEOv)aIZ!C<@5w)lBDb-xrBK#UjwmbYxES{}xl(VB zv24}M%#=q! zds(=HA>rl0ci_;#MEL=oJ~;G3#6nm4N9?ZeL z;y-_CjJOzE?+n(2SlK!i4C;C&^_)DDnz}~wn!;|~fmrDmfYh>}G zy#BUb{zq_GyP}a1ZF1+ozO2S^SJ%ckLHpNfZ`lJ6dIbIJPuJCrZHtxv*Po0e(Xs}H zzOIe`>)UKZnEfU>ePo)Ktu(DZ^1ptesY~U|({;?w^-Dh1r2ns1AU5PBmQ+EK|u`c{_6k!%Jtdi%@S|N)yuy8WM!iLug_g+ca~gr)1idg)~U{z zvNsoNIoGUVdGPt_wQH=_KXcb4=_YeU{r7~dSfMFo7avv?W>eKG=e&)V%B2~8oXGrO?Fv^FAb6@KBr!v4}Ko}KR5VHvdNO!b(>>` zmV;=fs_2R_<^ZKdloN?ME(>!LH}BkGqDWD@IKAdaVoZ$G{&lldZ8E*8hPf^)cI?$8n6XYq4=7^AB*`%$tC!*1Q; zI(z=S($+`@il3j~&ND@f8%0IiL&WoaKA-2NP1)LHthLEF?Qu6~dR>5$eUs~4Mp66l 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