author  bulwahn 
Mon, 14 Mar 2011 12:34:10 +0100  
changeset 41963  d8c3b26b3da4 
parent 41953  994d088fbfbc 
child 42019  a9445d87bc3e 
permissions  rwrr 
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(* Title: HOL/Tools/Quickcheck/narrowing_generators.ML 
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Author: Lukas Bulwahn, TU Muenchen 
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Narrowingbased counterexample generation. 
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*) 
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signature NARROWING_GENERATORS = 
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sig 
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val compile_generator_expr: 

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Proof.context > term > int > term list option * Quickcheck.report option 

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val put_counterexample: (unit > term list option) > Proof.context > Proof.context 

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val setup: theory > theory 

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end; 

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structure Narrowing_Generators : NARROWING_GENERATORS = 
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struct 
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fun mk_undefined T = Const(@{const_name undefined}, T) 
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(* narrowing specific names and types *) 
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exception FUNCTION_TYPE; 
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val narrowingN = "narrowing"; 
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fun narrowingT T = 
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@{typ Quickcheck_Narrowing.code_int} > Type (@{type_name Quickcheck_Narrowing.cons}, [T]) 
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fun mk_empty T = Const (@{const_name Quickcheck_Narrowing.empty}, narrowingT T) 
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fun mk_cons c T = Const (@{const_name Quickcheck_Narrowing.cons}, T > narrowingT T) $ Const (c, T) 
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fun mk_apply (T, t) (U, u) = 
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let 
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val (_, U') = dest_funT U 
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in 
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(U', Const (@{const_name Quickcheck_Narrowing.apply}, 
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narrowingT U > narrowingT T > narrowingT U') $ u $ t) 
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end 
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fun mk_sum (t, u) = 
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let 
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val T = fastype_of t 
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in 
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Const (@{const_name Quickcheck_Narrowing.sum}, T > T > T) $ t $ u 
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end 
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(* creating narrowing instances *) 
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fun mk_equations descr vs tycos narrowings (Ts, Us) = 
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let 
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fun mk_call T = 
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let 
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val narrowing = 
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Const (@{const_name "Quickcheck_Narrowing.narrowing_class.narrowing"}, narrowingT T) 
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in 
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(T, narrowing) 
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end 
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fun mk_aux_call fTs (k, _) (tyco, Ts) = 
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let 
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val T = Type (tyco, Ts) 
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val _ = if not (null fTs) then raise FUNCTION_TYPE else () 
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in 
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(T, nth narrowings k) 
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end 
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fun mk_consexpr simpleT (c, xs) = 
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let 
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val Ts = map fst xs 
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in snd (fold mk_apply xs (Ts > simpleT, mk_cons c (Ts > simpleT))) end 
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fun mk_rhs exprs = foldr1 mk_sum exprs 
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val rhss = 
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Datatype_Aux.interpret_construction descr vs 
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{ atyp = mk_call, dtyp = mk_aux_call } 
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> (map o apfst) Type 
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> map (fn (T, cs) => map (mk_consexpr T) cs) 
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> map mk_rhs 
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val lhss = narrowings 
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val eqs = map (HOLogic.mk_Trueprop o HOLogic.mk_eq) (lhss ~~ rhss) 
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in 
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eqs 
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end 
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fun instantiate_narrowing_datatype config descr vs tycos prfx (names, auxnames) (Ts, Us) thy = 
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let 
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val _ = Datatype_Aux.message config "Creating narrowing generators ..."; 
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val narrowingsN = map (prefix (narrowingN ^ "_")) (names @ auxnames); 
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in 
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thy 
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> Class.instantiation (tycos, vs, @{sort narrowing}) 
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> (fold_map (fn (name, T) => Local_Theory.define 
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((Binding.conceal (Binding.name name), NoSyn), 
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(apfst Binding.conceal Attrib.empty_binding, mk_undefined (narrowingT T))) 
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#> apfst fst) (narrowingsN ~~ (Ts @ Us)) 
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#> (fn (narrowings, lthy) => 
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let 
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val eqs_t = mk_equations descr vs tycos narrowings (Ts, Us) 
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val eqs = map (fn eq => Goal.prove lthy ["f", "i"] [] eq 
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(fn _ => Skip_Proof.cheat_tac (ProofContext.theory_of lthy))) eqs_t 
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in 
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fold (fn (name, eq) => Local_Theory.note 
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((Binding.conceal (Binding.qualify true prfx 
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(Binding.qualify true name (Binding.name "simps"))), 
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Code.add_default_eqn_attrib :: map (Attrib.internal o K) 
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[Simplifier.simp_add, Nitpick_Simps.add]), [eq]) #> snd) (narrowingsN ~~ eqs) lthy 
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end)) 
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> Class.prove_instantiation_exit (K (Class.intro_classes_tac [])) 
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end; 
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(* testing framework *) 
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111 

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val target = "Haskell" 
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(* invocation of Haskell interpreter *) 
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val narrowing_engine = File.read (Path.explode "~~/src/HOL/Tools/Quickcheck/Narrowing_Engine.hs") 
41905  117 

118 
fun exec verbose code = 

119 
ML_Context.exec (fn () => Secure.use_text ML_Env.local_context (0, "generated code") verbose code) 

120 

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fun value ctxt (get, put, put_ml) (code, value) = 

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let 

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val tmp_prefix = "Quickcheck_Narrowing" 
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fun run in_path = 
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let 

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val code_file = Path.append in_path (Path.basic "Code.hs") 

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val narrowing_engine_file = Path.append in_path (Path.basic "Narrowing_Engine.hs") 
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val main_file = Path.append in_path (Path.basic "Main.hs") 
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val main = "module Main where {\n\n" ^ 

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"import Narrowing_Engine;\n" ^ 
41905  131 
"import Code;\n\n" ^ 
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"main = Narrowing_Engine.smallCheck 7 (Code.value ())\n\n" ^ 
41905  133 
"}\n" 
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val code' = prefix "module Code where {\n\ndata Typerep = Typerep String [Typerep];\n" 
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(unprefix "module Code where {" code) 
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val _ = File.write code_file code' 
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val _ = File.write narrowing_engine_file narrowing_engine 
41905  138 
val _ = File.write main_file main 
41946  139 
val executable = File.shell_path (Path.append in_path (Path.basic "isa_lsc")) 
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val cmd = "\"$ISABELLE_GHC\" fglasgowexts " ^ 
41946  141 
(space_implode " " (map File.shell_path [code_file, narrowing_engine_file, main_file])) ^ 
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" o " ^ executable ^ " && " ^ executable 
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(* FIXME: should use bash command exec but does not work with && *) 
41905  144 
in 
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bash_output cmd 

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end 
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val result = Isabelle_System.with_tmp_dir tmp_prefix run 
41905  148 
val output_value = the_default "NONE" 
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(try (snd o split_last o filter_out (fn s => s = "") o split_lines o fst) result) 

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val ml_code = "\nval _ = Context.set_thread_data (SOME (Context.map_proof (" ^ put_ml 

151 
^ " (fn () => " ^ output_value ^ ")) (ML_Context.the_generic_context ())))"; 

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val ctxt' = ctxt 

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> put (fn () => error ("Bad evaluation for " ^ quote put_ml)) 

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> Context.proof_map (exec false ml_code); 

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in get ctxt' () end; 

156 

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fun evaluation cookie thy evaluator vs_t args = 

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let 

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val ctxt = ProofContext.init_global thy; 

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val (program_code, value_name) = evaluator vs_t; 

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val value_code = space_implode " " 

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(value_name :: "()" :: map (enclose "(" ")") args); 

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in Exn.interruptible_capture (value ctxt cookie) (program_code, value_code) end; 

164 

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fun dynamic_value_strict cookie thy postproc t args = 

166 
let 

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fun evaluator naming program ((_, vs_ty), t) deps = 

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evaluation cookie thy (Code_Target.evaluator thy target naming program deps) (vs_ty, t) args; 
41905  169 
in Exn.release (Code_Thingol.dynamic_value thy (Exn.map_result o postproc) evaluator t) end; 
170 

171 
(* counterexample generator *) 

172 

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structure Counterexample = Proof_Data 
41905  174 
( 
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type T = unit > term list option 

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fun init _ () = error "Counterexample" 
41905  177 
) 
178 

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val put_counterexample = Counterexample.put 
41905  180 

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fun compile_generator_expr ctxt t size = 

182 
let 

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val thy = ProofContext.theory_of ctxt 

184 
fun ensure_testable t = 

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Const (@{const_name Quickcheck_Narrowing.ensure_testable}, fastype_of t > fastype_of t) $ t 
41905  186 
val t = dynamic_value_strict 
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(Counterexample.get, Counterexample.put, "Narrowing_Generators.put_counterexample") 
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thy (Option.map o map) (ensure_testable t) [] 
189 
in 

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(t, NONE) 

191 
end; 

192 

193 

194 
val setup = 

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Datatype.interpretation 
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(Quickcheck_Common.ensure_sort_datatype (@{sort narrowing}, instantiate_narrowing_datatype)) 
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#> Context.theory_map 
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(Quickcheck.add_generator ("narrowing", compile_generator_expr)) 
41905  199 

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end; 