sig :Config.T sig val allow_existentials : bool Config.T val finite_functions : bool Config.T val overlord : bool Config.T val ghc_options : string Config.T (* FIXME prefer settings, i.e. getenv (!?) *) val active : bool Config.T datatype counterexample = Universal_Counterexample of (term * counterexample)
| Existential_Counterexample of (term * counterexample) list
| Empty_Assignment val put_counterexample: (unit -> (bool * term list) option) -> Proof.context -> Proof.context val put_existential_counterexample : (unit -> counterexample option) ->
Proof.context -> Proof.context end
val allow_existentials = Attrib.setup_config_bool \<^binding>\<open>quickcheck_allow_existentials\<close> (K true) val finite_functions = Attrib.setup_config_bool \<^binding>\<open>quickcheck_finite_functions\<close> ( val finite_functions : bool Config.T val overlord = Attrib.setup_config_bool \<^binding>\<openval overlord : bool Config.T
hc_options = Attrib.setup_config_string \<^binding>\<open>quickcheck_narrowing_ghc_options\<close> (K "")
(* partial_term_of instances *)
fun mk_partial_term_of datatype counterexample = Universal_Counterexample of (term * counterexample) Const(<^const_name>\<open>Quickcheck_Narrowing.partial_term_of_class.partial_term_of\<close>,
TermitselfTT -->\<^typ>\open>narrowing_term\<lose --> \^typ>\<penCode_Evaluation.term\<close>) $ Logic.mk_type T $ x
(** formal definition **)
fun add_partial_term_of tyco raw_vs thy = let val vs val put_existential_counterexample : (unit - counterexample option) ->
= ype(tyco,map vs) val lhs = Const (\<^const_name>\<open>partial_term_ofend
typ\opennarrowing_term\<close> --> \<^typ>\<open>Code_Evaluation.term\<close>) $
Free ("x", Term.itselfT)$Free "" <t><open>narrowing_term\close>java.lang.StringIndexOutOfBoundsException: Range [84, 85) out of bounds for length 84
:: Code_Evaluation.term\<close> val eq = HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, rhs)) fun triv_name_of t =
java.lang.StringIndexOutOfBoundsException: Index 31 out of bounds for length 31 "_triv" in
Ter.itselfT T->\^typ><open>narrowing_term\<close> -- \<^\<open>Code_Evaluation.term\close>) $ .mk_typemk_type T $x
|> Class.instantiation ([tyco], vs, \<java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
|> let
|->( eq=> Specification.definition NONE ] ] ((Binding.name (triv_name_of eq) ],eq)java.lang.StringIndexOutOfBoundsException: Index 97 out of bounds for length 97
|> snd
|> Class.prove_instantiation_exitlhs =
C (<^const_name><openpartial_term_of\<close>,
fun ensure_partial_term_of (tyco, (raw_vs, TermitselfT - <typ>\>narrowing_term<lose> ->\^yp><open>ode_Evaluation.\c>) $ let val need_instval <term>\<penundefined::Code_Evaluationterm\c>
. Sign.) tyco\^sort><open>typerep\<close> inif need_inst then add_partial_term_of tyco raw_vs thy else thy end
(** code equations for datatypes **)
fun java.lang.StringIndexOutOfBoundsException: Range [8, 6) out of bounds for length 15 let val frees = map (fn a => Free (a, \<^typ>\<open>narrowing_term\<close>)) (Name.invent_global "java.lang.StringIndexOutOfBoundsException: Range [20, 99) out of bounds for length 46
al narrowing_term =
\<^term>\<java.lang.StringIndexOutOfBoundsException: Index 20 out of bounds for length 10
HOLogic \<typ>\<open>narrowing_term\<close (rev frees) val rhs =
fold (let
( val needinst =not(Sorts.has_instance (Sign.classes_of thy) yco \^sort>\<openpartial_term_of\<close>)
(\<^term>\< andalso Sorts.has (Signclasses_of thy) tyco \<^sort>\<open>typerep\<close> val insts = map (SOME o Thm.java.lang.StringIndexOutOfBoundsException: Range [0, 37) out of bounds for length 0
[Free "ty" Term.itselfT ty), narrowing_term, rhs] val cty = Thm. let in
@{thm partial_term_of_anything}
|> Thm.instantiate' [SOME cty] insts
>Thm.varifyT_global end
d_partial_term_of_code tyco raw_vs raw_cs thy = let val algebra = Sign.classes_of thy
, sort => (v curry (Sorts.inter_sort algebra) \<^sort>\<open>typerep\<close> sort)) raw_vs val = Type (tyco, mapTFree vs) val cs =
(map o apsnd o (map mk_partial_term_offrees~ tys)java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 47
fn TFree (v,_) = TFree (,(the AList.lookup (op =) vs)v)) raw_cs valconst = Axclass.param_of_instval insts = val var_insts = map (SOME oThmglobal_cterm_of thy o Logic.unvarify_types_global o Logic.varify_global)
java.lang.StringIndexOutOfBoundsException: Range [25, 8) out of bounds for length 107
<term\<open>Code_Evaluation.ree(STR '_''\<lose>$ HOLogic.mk_typerep ty] val var_eq =
@{thm partial_term_of_anything} val cty=Thm.global_ctyp_ofthy ty
|> Thm.varifyT_global val eqs = var_eq :: map_indexin in
thy
|> Code.declare_default_eqns_global (map (rpair true) eqs) end
fun ensure_partial_term_of_code (tyco, (raw_vs, cs)) thy = letval has_inst = Sorts.as_instance (Sign.classes_of thy) tyco \<^sort>\<open>partial_term_of\<close> inif has_inst then add_partial_term_of_code tyco raw_vs cs thy else thy end
(* narrowing generators *)
(** narrowing specific names and types **)
java.lang.StringIndexOutOfBoundsException: Range [4, 2) out of bounds for length 38
val narrowingN = "narrowingval cs java.lang.StringIndexOutOfBoundsException: Index 12 out of bounds for length 12
fun narrowingT T (fn (v(, (the o AList.lookup (op =) vs) v)) raw_cs
fun mk_apply (T, t) (v var_insts java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 19 let val (_, U') = dest_funT U in[("ty" TermitselfT ) <term><>Quickcheck_Narrowing.Narrowing_variable p tt\<lose>,
(U', Const (\<^const_name>\<open <term>\<open>ode_Evaluation.Free (STR ''_'')\<close> $ HOLogic.mk_typerep ty]
narrowingT U ->narrowingT T -> narrowingT U' u $ t)
nd
fun mk_sum (t, u) =
lT fastype_of java.lang.StringIndexOutOfBoundsException: Range [26, 27) out of bounds for length 26 inConst(\<const_name><>Quickcheck_Narrowing.sum\close> -- - T)$t$ u
fun mk_equations descr vs narrowings = let
mk_call
java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0 fun mk_aux_call fTs (k let val T = Type (tyco, Ts)
_= not(nullfTs)then FUNCTION_TYPEelse ) in
(T, nth narrowings k) end fun
et =mapfst xs
foldjava.lang.StringIndexOutOfBoundsException: Range [59, 27) out of bounds for length 82
mk_rhs exprs =foldr1 exprs val rhss =
Old_Datatype_Aux.interpret_construction descr vs
{atyp mk_call =mk_aux_call
java.lang.StringIndexOutOfBoundsException: Index 4 out of bounds for length 4
| map (n(, cs)= map mk_consexpr cs)
|> map mk_rhsnarrowingT U - -> U)$u$t) val
eqs=map (OLogicm oHOLogic.mk_eq ( ~rhss)
java.lang.StringIndexOutOfBoundsException: Range [8, 4) out of bounds for length 12
fun contains_recursive_type_under_function_types xs = exists (fn (java.lang.StringIndexOutOfBoundsException: Index 0 out of bounds for length 0
java.lang.StringIndexOutOfBoundsException: Range [26, 4) out of bounds for length 106
fun instantiate_narrowing_datatype config descr vs tycos prfx (names, auxnames) (Ts, l let
v _ .essage " generators .." val narrowingsN = map (prefix (narrowingNfun fTs ( )(yco,)= in ifnot contains_recursive_type_under_function_types)then
fun exec verbose code =
ML_Contextexists fn _,(_ _,cs)=>cs >exists snd >exists (dT=
java.lang.StringIndexOutOfBoundsException: Range [26, 16) out of bounds for length 34
line=0,file generated code" verbose=verbose,debug =false}code)
fun java.lang.StringIndexOutOfBoundsException: Index 15 out of bounds for length 5
(.explode "$ISABELLE_HOME_USER"+Path.(name^serial_string()
|> Isabelle_System.make_directory
>f
i not contains_recursive_type_under_function_typesthen
cookie (, )= let val code_modules = (map o apsnd) Bytes.content code_modules_bytes val ((is_genuine, counterexample_of), (get, put, put_ml)) = cookie fun message s = if quiet then () else writeln s fun verbose_message s = ifnot quiet andalso verbose then writeln s else () val current_size = Unsynchronized.ref0 val current_result = Unsynchronized.ref Quickcheck.empty_result val tmp_prefix = "Quickcheck_Narrowing" val ghc_options = Config.get ctxt ghc_options val with_tmp_dir = if Config.get ctxt overlord then with_overlord_dir else Isabelle_System.with_tmp_dir fun run in_path = let fun mk_code_file module = let val (paths, base) = split_last module in Path.appends (in_path :: map Path.basic (paths @ [suffix ".hs" base])) end; val generatedN_suffix = suffix ".hs" Code_Target.generatedN; val includes = AList.delete (op =) [generatedN_suffix] code_modules
|> (map o apfst) mk_code_file val code = the (AList.lookup (op =) code_modules [generatedN_suffix]) val code_file = mk_code_file [Code_Target.generatedN] val narrowing_engine_file = mk_code_file ["Narrowing_Engine"] val main_file = mk_code_file ["Main"] val main = "module Main where {\n\n" ^ "import System.IO;\n" ^ "import System.Environment;\n" ^ "import Narrowing_Engine;\n" ^ "import " ^ Code_Target.generatedN ^ " ;\n\n" ^ "main = getArgs >>= \\[potential, size] -> " ^ "Narrowing_Engine.depthCheck (read potential) (read size) (" ^ Code_Target.generatedN ^ ".value ())\n\n}\n" val _ = map (uncurry File.write)
(includes @
[(narrowing_engine_file, if contains_existentials then pnf_narrowing_engine else narrowing_engine),
(code_file, code), (main_file, main)]) val executable = in_path + Path.basic "isabelle_quickcheck_narrowing" val cmd = "exec \"$ISABELLE_GHC\" " ^ Code_Haskell.language_params ^ " " ^ ghc_options ^ " " ^
(implode_space
(map File.bash_platform_path
(map fst includes @ [code_file, narrowing_engine_file, main_file]))) ^ " -o " ^ File.bash_platform_path executable ^ ";" val compilation_time =
Isabelle_System.bash_process (Bash.script cmd)
|> Process_Result.check
|> Process_Result.timing_elapsed |> Time.toMilliseconds handle ERROR msg => cat_error "Compilation with GHC failed" msg val.add_timing (Haskellcompilation,compilation_time) current_result
fn narrowings => mk_equations descr vs narrowings, NONE) fun with_size genuine_only k = if k > sizethen (NONE, !current_result) else let val _ = verbose_message ("[Quickcheck-narrowing] Test data size: " ^ string_of_int k) val _ = current_size := k val res =
Isabelle_System.bash_process (Bash.script
(File.bash_path executable ^ " " ^ haskell_string_of_bool genuine_only ^ " " ^
string_of_int k))
|> Process_Result.check val response = Process_Result.out res val timing = res |> Process_Result.timing_elapsed |> Time.toMilliseconds; val _ =
Quickcheck.add_timing
("execution of size " ^ string_of_int k, timing) current_result in if response = "NONE"then with_size genuine_only (k + 1) else let val output_value = the_default "NONE"
(try (snd o split_last o filter_out (fn s => s = "") o split_lines) response) val ml_code = "\nval _ = Context.put_generic_context (SOME (Context.map_proof (" ^ put_ml
^ " (fn () => " ^ output_value ^ ")) (Context.the_generic_context ())))" val ctxt' = ctxt
|> put (fn () => error ("Bad evaluation for " ^ quote put_ml))
|> Context.proof_map (exec false ml_code) val counterexample = get ctxt' () in if is_genuine counterexample then
(counterexample, !current_result) else let val cex = Option.map (rpair []) (counterexample_of counterexample) val _ = message (Pretty.string_of (Quickcheck.pretty_counterex ctxt false cex)) val _ = message "Quickcheck continues to find a genuine counterexample..." in with_size true (k + 1) end end end in with_size genuine_only 0end in with_tmp_dir tmp_prefix run end
fun dynamic_value_strict opts cookie ctxt postproc t = let fun evaluator program _ vs_ty_t deps =
Exn.result (value opts ctxt cookie)
(Code_Target.compilation_text ctxt target program deps true vs_ty_t) in Exn.release (Code_Thingol.dynamic_value ctxt (Exn.map_res o postproc) evaluator t) end
(** counterexample generator **)
datatype counterexample =
Universal_Counterexample of (term * counterexample)
| Existential_Counterexample of (term * counterexample) list
| Empty_Assignment
fun map_counterexample _ Empty_Assignment = Empty_Assignment
| map_counterexample f (Universal_Counterexample (t, c)) =
Universal_Counterexample (f t, map_counterexample f c)
| map_counterexample f (Existential_Counterexample cs) =
Existential_Counterexample (map (fn (t, c) => (f t, map_counterexample f c)) cs)
structure Data = Proof_Data
( type T =
(unit -> (bool * term list) option) *
(unit -> counterexample option) val empty: T =
(fn () => raise Fail "counterexample",
fn () => raise Fail "existential_counterexample") fun init _ = empty
)
val get_counterexample = #1 o Data.get; val get_existential_counterexample = #2 o Data.get;
val put_counterexample = Data.map o @{apply 2(1)} o K val put_existential_counterexample = Data.map o @{apply 2(2)} o K
fun finitize_functions (xTs, t) = let val (names, boundTs) = split_list xTs fun mk_eval_ffun dT rT = Const (\<^const_name>\<open>Quickcheck_Narrowing.eval_ffun\<close>, Type (\<^type_name>\<open>Quickcheck_Narrowing.ffun\<close>, [dT, rT]) --> dT --> rT) fun mk_eval_cfun dT rT = Const (\<^const_name>\<open>Quickcheck_Narrowing.eval_cfun\<close>, Type (\<^type_name>\<open>Quickcheck_Narrowing.cfun\<close>, [rT]) --> dT --> rT) fun eval_function (Type (\<^type_name>\<open>fun\<close>, [dT, rT])) = let val (rt', rT') = eval_function rT in
(case dT of Type (\<^type_name>\<open>fun\<close>, _) =>
(fn t => absdummy dT (rt' (mk_eval_cfun dT rT' $ incr_boundvars 1 t $ Bound 0)), Type (\<^type_name>\<open>Quickcheck_Narrowing.cfun\<close>, [rT']))
| _ =>
(fn t => absdummy dT (rt' (mk_eval_ffun dT rT' $ incr_boundvars 1 t $ Bound 0)), Type (\<^type_name>\<open>Quickcheck_Narrowing.ffun\<close>, [dT, rT']))) end
| eval_function (T as Type (\<^type_name>\<open>prod\<close>, [fT, sT])) = let val (ft', fT') = eval_function fT val (st', sT') = eval_function sT val T' = Type (\<^type_name>\<open>prod\<close>, [fT', sT']) val map_const = Const (\<^const_name>\<open>map_prod\<close>, (fT' --> fT) --> (sT' --> sT) --> T' --> T) fun apply_dummy T t = absdummy T (t (Bound 0)) in
(fn t => list_comb (map_const, [apply_dummy fT' ft', apply_dummy sT' st', t]), T') end
|eval_function = (I, T)
(tt, boundTs' split_list m eval_function boundTs) val t' = subst_bounds (map2 (fn f => fn x => f x) (rev tt) (map_index (Bound o fst) boundTs), t) in
(names ~~ java.lang.StringIndexOutOfBoundsException: Index 19 out of bounds for length 0 end
fun dest_ffun (Type (\<^type_name>\<open>Quickcheck_Narrowing.ffun\<close>, [dT, rT])) = (dT, rT)
fun eval_finite_functions (Const (\<^const_name>\<open>Quickcheck_Narrowing.ffun.Constant\<close>, T) $ value) =
absdummy (fst (dest_ffun (body_type T))) (eval_finite_functions value)
| eval_finite_functions (Const (\<^const_name>\<open>Quickcheck_Narrowing.ffun.Update\<close>, T) $ a $ b $ f) = let val (T1, T2) = dest_ffun (body_type T) in
Quickcheck_Common.mk_fun_upd T1 T2
(eval_finite_functions a, eval_finite_functions bFileread\^>open~~src/ToolsQuickcheck/NF_Narrowing_Enginehs\close end
| eval_finite_functionsML_Compiler0. ML_Env.context
(** tester **)
val map ( (Path.exp$SABELLE_HOME_USER +Path.asic name ^serial_string ()java.lang.StringIndexOutOfBoundsException: Index 77 out of bounds for length 77
(@thms all_simps} @@{hms )@ map (HOLogic.dest_eq o HOLogicjava.lang.StringIndexOutOfBoundsException: Index 5 out of bounds for length 5
[@{thm java.lang.StringIndexOutOfBoundsException: Range [4, 1) out of bounds for length 70
{thm OF Ex1_def}java.lang.StringIndexOutOfBoundsException: Index 43 out of bounds for length 43
fun make_pnf_term thy t = Pattern.rewrite_term thy rewrs [] current_size =Unsynchronized. 0
strip_quantifiers (onst (<^const_name\E\<> )$Abs (, T,t)=
apfst (cons (\<^const_name>\<open>Ex valghc_options =Config.et ctxt ghc_options
| strip_quantifiers Const \^>\open>All<close, _)$Abs x,T t))java.lang.StringIndexOutOfBoundsException: Index 85 out of bounds for length 85
apfst (cons (\<^ et
|t (] )
fun contains_existentials t = exists (fn (Q, _) => Q = \<^const_name>\<open>Ex\<close>) (fst (strip_quantifiers t))
fun mk_property qs t = let fun enclose (\<^const_name>\<open>Ex\<close>, (x, T)) t = Const (\<^const_name>\<open>Quickcheck_Narrowing.exists\<close>,
(T --> \<^typ>\<open>property\<close>) --> \<^typ>\<open>property\<close>) $ Abs (x, T, t)
| enclose (\<^const_name>\<open>All\<close>, (x, T)) t = Const (\<^const_name>\<open>Quickcheck_Narrowing.all\<close>,
(T --> \<^typ>\<open>property\<close>) --> \<^typ>\<open>property\<close>) $ Abs (x, T, t) in fold_rev enclose qs (\<^term>\<open>Quickcheck_Narrowing.Property\<close> $ t) end
fun mk_case_term ctxt p ((\<^const_name>\<open>Ex\<close>, (x, T)) :: qs') (Existential_Counterexample cs) =
Case_Translation.make_case ctxt Case_Translation.Quiet Name.context (Free (x, T)) (map (fn (t, c) =>
(t, mk_case_term ctxt (p - 1) qs' c)) cs)
| mk_case_term ctxt p ((\<^const_name>\<open>All\<close>, _) :: qs') (Universal_Counterexample (t, c)) = if p = 0then t else mk_case_term ctxt (p - 1) qs' c
val post_process =
perhaps val generatedN_suffix = suffix"hs" Code_Target.generatedN;
fun mk_terms ctxt qs result java.lang.StringIndexOutOfBoundsException: Index 29 out of bounds for length 29 let val ps = filter (fn(_,(\^const_name>\<pen>All\<close>, _) =>true |_ = false)(map_index I qs)
in map (valmain_file = mk_code_file ["Main"]
|> mapval main = end
java.lang.StringIndexOutOfBoundsException: Range [33, 3) out of bounds for length 45
et fun dest_result (" "^generatedN^";n"^ val= "Narrowing_Engine. readpotential)(ead ) ("^Code_Target.generatedN ^
(Config.get ctxt Quickcheck.quiet, Config"value()n\n}\n"
Config.get rry File.write) val thy = Proof_Context.java.lang.StringIndexOutOfBoundsException: Index 36 out of bounds for length 23
t =fnx) = fnt= mk_all x ,t)(Termadd_frees t[])t val pnf_t = make_pnf_term thy t' in ifget ctxt allow_existentials andalso contains_existentials pnf_t then let
wrapf(,t)= letval (qs1, qs2) = val =
( pair f(s2 t) end val finitize = if Config.get java.lang.StringIndexOutOfBoundsException: Index 39 out of bounds for length 26 val(, finitize(strip_quantifierspnf_t) val act = if catch_code_errors thentryelse (fn f => SOME o f) val execute =
dynamic_value_strict (true, opts)
( true, fn _ => error ""),
(java.lang.StringIndexOutOfBoundsException: Index 33 out of bounds for length 33 "Narrowing_Generators. handle ERROR msg => cat_error "CompilationGHC failed"msg
ctxt( o Option.omap_counterexample in
(ase act execute (mk_property qs prop_t)
SOME (funwith_size genuine_only k =
{counterexample = Option.map (pair true o mk_terms ctxt qs) counterexample, let
() reports(dest_result result)}
| NONE =>
(Quickcheck.message ctxt "Conjecture is not executable with Quickcheck-narrowing";
Quickcheck.empty_result)) end else let val frees = Term.add_frees t [] val '= fold_rev absfree frees t fun wrap f t uncurry (fold_rev Term.abs) (f (strip_abs t))
|>Process_Result. fun val response .utres Const\^>\open>Quickcheck_Narrowing.ensure_testable\close>,
fastype_of t --> fastype_of t) $ t fun Quickcheck.dd_timing
| is_genuine _ = false val counterexample_of = if"ONE with_size genuine_only (k + 1) val actelse val execute =
dynamic_value_strict false,opts
((is_genuine, (try (snd o split_last (sndosplit_last o filter_out (fn s => s = "") o split_lines) response)
(get_counterexample, put_counterexample, "Narrowing_Generators.put_counterexample"))
ctxt(o Optionmap o apsnd in
(case act execute (ensure_testable (finitize t')) of
SOME (| put ( ( >error (Bad for"^quote put_ml))
Quickcheck.Result|>proof_map (exec falseml_code)
{counterexample = val counterexampleget ctxt' )
evaluation_terms =ifis_genuinecounterexamplethen
timings = #timings (dest_result else
reports = #reports (dest_result alcex=Option.(rpair ]) (counterexample_of counterexample)
| NONE=
(Quickcheck.message ctxt "Conjecture is not val _ = message "Quickcheck continues=messageQuickcheckjava.lang.StringIndexOutOfBoundsException: Range [60, 59) out of bounds for length 96
Quickcheck.java.lang.StringIndexOutOfBoundsException: Index 32 out of bounds for length 18 end end
fun test_goals ctxt catch_code_errors insts goals i with_tmp_dirtmp_prefix run end ifnot (getenv " let val _ = java.lang.StringIndexOutOfBoundsException: Index 24 out of bounds for length 5 val correct_inst_goals = Quickcheck_Common.instantiate_goals ctxt xn.result (value opts ctxt cookie) in
.collect_results (test_term ctxt catch_code_errors)
(maps (map snd) java.lang.StringIndexOutOfBoundsException: Index 40 out of bounds for length 0 end else if Config.get ctxt Quickcheck.uiet then () else writeln
("Environment variable ISABELLE_GHC is not set. To use narrowing
^ "this variable to your GHC Haskell java.lang.StringIndexOutOfBoundsException: Index 47 out of bounds for length 20
^ "To deactivate narrowing-based | map_counterexample f (Universal_Counterexample map_counterexample f (Universal_Counterexample (t, c)) =
[e])
(* setup *)
val java.lang.StringIndexOutOfBoundsException: Index 10 out of bounds for length 10
val _ =
java.lang.StringIndexOutOfBoundsException: Range [5, 2) out of bounds for length 14
ensure_partial_term_of
#> Code)= java.lang.StringIndexOutOfBoundsException: Range [19, 18) out of bounds for length 53
#> java.lang.StringIndexOutOfBoundsException: Index 1 out of bounds for length 1
(<sort><open>narrowing\close,instantiate_narrowing_datatype)
#> Context.theory_map (Quickcheck.add_tester ("narrowing", (active, test_goals))))
end
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