author  blanchet 
Thu, 14 Apr 2011 11:24:05 +0200  
changeset 42353  7797efa897a1 
parent 42237  e645d7255bd4 
child 42361  23f352990944 
permissions  rwrr 
40114  1 
(* Title: HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML 
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Author: Fabian Immler, TU Muenchen 
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Author: Makarius 
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Author: Jasmin Blanchette, TU Muenchen 
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Translation of HOL to FOL for Sledgehammer. 
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*) 
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40068  9 
signature SLEDGEHAMMER_ATP_TRANSLATE = 
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sig 
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type 'a fo_term = 'a ATP_Problem.fo_term 
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type 'a problem = 'a ATP_Problem.problem 
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type translated_formula 
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datatype type_system = 
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Tags of bool  

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Args  
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Mangled  
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No_Types 
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val precise_overloaded_args : bool Unsynchronized.ref 
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val fact_prefix : string 
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val conjecture_prefix : string 
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val types_dangerous_types : type_system > bool 
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val num_atp_type_args : theory > type_system > string > int 
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val translate_atp_fact : 
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Proof.context > bool > (string * 'a) * thm 
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> translated_formula option * ((string * 'a) * thm) 
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val unmangled_const : string > string * string fo_term list 
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val prepare_atp_problem : 
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Proof.context > bool > bool > type_system > bool > term list > term 
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> (translated_formula option * ((string * 'a) * thm)) list 
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> string problem * string Symtab.table * int * (string * 'a) list vector 
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val atp_problem_weights : string problem > (string * real) list 
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end; 
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structure Sledgehammer_ATP_Translate : SLEDGEHAMMER_ATP_TRANSLATE = 
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struct 
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open ATP_Problem 
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open Metis_Translate 
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open Sledgehammer_Util 
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(* FIXME: Remove references once appropriate defaults have been determined 
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empirically. *) 
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val precise_overloaded_args = Unsynchronized.ref false 
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val fact_prefix = "fact_" 
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val conjecture_prefix = "conj_" 
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val helper_prefix = "help_" 
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val class_rel_clause_prefix = "clrel_"; 
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val arity_clause_prefix = "arity_" 
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val tfree_prefix = "tfree_" 
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(* Freshness almost guaranteed! *) 
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val sledgehammer_weak_prefix = "Sledgehammer:" 
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type translated_formula = 
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{name: string, 
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kind: kind, 
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combformula: (name, combterm) formula, 
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ctypes_sorts: typ list} 
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datatype type_system = 
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Tags of bool  

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Args  
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Mangled  
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No_Types 
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fun types_dangerous_types (Tags _) = true 
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 types_dangerous_types _ = false 
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(* This is an approximation. If it returns "true" for a constant that isn't 
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overloaded (i.e., that has one uniform definition), needless clutter is 
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generated; if it returns "false" for an overloaded constant, the ATP gets a 
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license to do unsound reasoning if the type system is "overloaded_args". *) 
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fun is_overloaded thy s = 
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not (s = @{const_name HOL.eq}) andalso 
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not (s = @{const_name Metis.fequal}) andalso 
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(not (!precise_overloaded_args) orelse s = @{const_name finite} orelse 
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length (Defs.specifications_of (Theory.defs_of thy) s) > 1) 
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fun needs_type_args thy type_sys s = 
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case type_sys of 
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Tags full_types => not full_types andalso is_overloaded thy s 
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 Args => is_overloaded thy s 
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 Mangled => true 
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 No_Types => false 
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datatype type_arg_policy = No_Type_Args  Explicit_Type_Args  Mangled_Types 
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fun type_arg_policy thy type_sys s = 
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if needs_type_args thy type_sys s then 
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if type_sys = Mangled then Mangled_Types else Explicit_Type_Args 
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else 
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No_Type_Args 
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fun num_atp_type_args thy type_sys s = 
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if type_arg_policy thy type_sys s = Explicit_Type_Args then 
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num_type_args thy s 
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else 
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0 
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fun atp_type_literals_for_types type_sys kind Ts = 
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if type_sys = No_Types then 
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[] 
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else 
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Ts > type_literals_for_types 
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> filter (fn TyLitVar _ => kind <> Conjecture 
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 TyLitFree _ => kind = Conjecture) 
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fun mk_anot phi = AConn (ANot, [phi]) 
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fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2]) 
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fun mk_ahorn [] phi = phi 
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 mk_ahorn (phi :: phis) psi = 
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AConn (AImplies, [fold (mk_aconn AAnd) phis phi, psi]) 
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fun close_universally phi = 
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let 
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fun term_vars bounds (ATerm (name as (s, _), tms)) = 
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(is_atp_variable s andalso not (member (op =) bounds name)) 
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? insert (op =) name 
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#> fold (term_vars bounds) tms 
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fun formula_vars bounds (AQuant (_, xs, phi)) = 
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formula_vars (xs @ bounds) phi 
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 formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis 
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 formula_vars bounds (AAtom tm) = term_vars bounds tm 
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in 
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case formula_vars [] phi [] of [] => phi  xs => AQuant (AForall, xs, phi) 
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end 
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fun combformula_for_prop thy eq_as_iff = 
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133 
let 
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134 
fun do_term bs t ts = 
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135 
combterm_from_term thy bs (Envir.eta_contract t) 
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136 
>> AAtom > union (op =) ts 
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137 
fun do_quant bs q s T t' = 
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138 
let val s = Name.variant (map fst bs) s in 
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139 
do_formula ((s, T) :: bs) t' 
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140 
#>> (fn phi => AQuant (q, [`make_bound_var s], phi)) 
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141 
end 
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142 
and do_conn bs c t1 t2 = 
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143 
do_formula bs t1 ##>> do_formula bs t2 
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144 
#>> (fn (phi1, phi2) => AConn (c, [phi1, phi2])) 
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145 
and do_formula bs t = 
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146 
case t of 
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147 
@{const Not} $ t1 => 
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148 
do_formula bs t1 #>> (fn phi => AConn (ANot, [phi])) 
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149 
 Const (@{const_name All}, _) $ Abs (s, T, t') => 
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150 
do_quant bs AForall s T t' 
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151 
 Const (@{const_name Ex}, _) $ Abs (s, T, t') => 
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152 
do_quant bs AExists s T t' 
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153 
 @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2 
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154 
 @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2 
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155 
 @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2 
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156 
 Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 => 
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157 
if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t 
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158 
 _ => do_term bs t 
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159 
in do_formula [] end 
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160 

38618  161 
val presimplify_term = prop_of o Meson.presimplify oo Skip_Proof.make_thm 
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162 

41491  163 
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j 
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164 
fun conceal_bounds Ts t = 
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165 
subst_bounds (map (Free o apfst concealed_bound_name) 
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166 
(0 upto length Ts  1 ~~ Ts), t) 
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167 
fun reveal_bounds Ts = 
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168 
subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j)) 
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169 
(0 upto length Ts  1 ~~ Ts)) 
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170 

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171 
(* Removes the lambdas from an equation of the form "t = (%x. u)". 
39890  172 
(Cf. "extensionalize_theorem" in "Meson_Clausify".) *) 
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173 
fun extensionalize_term t = 
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174 
let 
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175 
fun aux j (@{const Trueprop} $ t') = @{const Trueprop} $ aux j t' 
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176 
 aux j (t as Const (s, Type (_, [Type (_, [_, T']), 
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177 
Type (_, [_, res_T])])) 
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178 
$ t2 $ Abs (var_s, var_T, t')) = 
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179 
if s = @{const_name HOL.eq} orelse s = @{const_name "=="} then 
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180 
let val var_t = Var ((var_s, j), var_T) in 
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181 
Const (s, T' > T' > res_T) 
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182 
$ betapply (t2, var_t) $ subst_bound (var_t, t') 
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183 
> aux (j + 1) 
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184 
end 
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185 
else 
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186 
t 
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187 
 aux _ t = t 
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188 
in aux (maxidx_of_term t + 1) t end 
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189 

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190 
fun introduce_combinators_in_term ctxt kind t = 
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191 
let val thy = ProofContext.theory_of ctxt in 
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192 
if Meson.is_fol_term thy t then 
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193 
t 
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194 
else 
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195 
let 
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196 
fun aux Ts t = 
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197 
case t of 
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198 
@{const Not} $ t1 => @{const Not} $ aux Ts t1 
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199 
 (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') => 
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200 
t0 $ Abs (s, T, aux (T :: Ts) t') 
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201 
 (t0 as Const (@{const_name All}, _)) $ t1 => 
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202 
aux Ts (t0 $ eta_expand Ts t1 1) 
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203 
 (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') => 
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204 
t0 $ Abs (s, T, aux (T :: Ts) t') 
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205 
 (t0 as Const (@{const_name Ex}, _)) $ t1 => 
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206 
aux Ts (t0 $ eta_expand Ts t1 1) 
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207 
 (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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208 
 (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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formerly unnamed infix impliciation now named HOL.implies
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209 
 (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2 
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210 
 (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _]))) 
38491
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211 
$ t1 $ t2 => 
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212 
t0 $ aux Ts t1 $ aux Ts t2 
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213 
 _ => if not (exists_subterm (fn Abs _ => true  _ => false) t) then 
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214 
t 
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215 
else 
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216 
t > conceal_bounds Ts 
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217 
> Envir.eta_contract 
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218 
> cterm_of thy 
39890  219 
> Meson_Clausify.introduce_combinators_in_cterm 
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220 
> prop_of > Logic.dest_equals > snd 
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221 
> reveal_bounds Ts 
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222 
val (t, ctxt') = Variable.import_terms true [t] ctxt >> the_single 
38491
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223 
in t > aux [] > singleton (Variable.export_terms ctxt' ctxt) end 
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224 
handle THM _ => 
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225 
(* A type variable of sort "{}" will make abstraction fail. *) 
38613
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226 
if kind = Conjecture then HOLogic.false_const 
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227 
else HOLogic.true_const 
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228 
end 
38282
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229 

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230 
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
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231 
same in Sledgehammer to prevent the discovery of unreplayable proofs. *) 
38282
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232 
fun freeze_term t = 
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233 
let 
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234 
fun aux (t $ u) = aux t $ aux u 
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235 
 aux (Abs (s, T, t)) = Abs (s, T, aux t) 
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236 
 aux (Var ((s, i), T)) = 
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237 
Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T) 
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238 
 aux t = t 
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239 
in t > exists_subterm is_Var t ? aux end 
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240 

40204
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standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer  but keep "Axiom" in the lowerlevel "ATP_Problem" module
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241 
(* making fact and conjecture formulas *) 
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242 
fun make_formula ctxt eq_as_iff presimp name kind t = 
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243 
let 
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244 
val thy = ProofContext.theory_of ctxt 
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245 
val t = t > Envir.beta_eta_contract 
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> transform_elim_term 
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> Object_Logic.atomize_term thy 
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val need_trueprop = (fastype_of t = HOLogic.boolT) 
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val t = t > need_trueprop ? HOLogic.mk_Trueprop 
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> extensionalize_term 
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> presimp ? presimplify_term thy 
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> perhaps (try (HOLogic.dest_Trueprop)) 
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> introduce_combinators_in_term ctxt kind 
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> kind <> Axiom ? freeze_term 
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val (combformula, ctypes_sorts) = combformula_for_prop thy eq_as_iff t [] 
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in 
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{name = name, combformula = combformula, kind = kind, 
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ctypes_sorts = ctypes_sorts} 
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end 
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fun make_fact ctxt keep_trivial eq_as_iff presimp ((name, _), th) = 
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case (keep_trivial, 
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make_formula ctxt eq_as_iff presimp name Axiom (prop_of th)) of 
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(false, {combformula = AAtom (CombConst (("c_True", _), _, _)), ...}) => 
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NONE 
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 (_, formula) => SOME formula 
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fun make_conjecture ctxt ts = 
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let val last = length ts  1 in 
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map2 (fn j => make_formula ctxt true true (string_of_int j) 
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(if j = last then Conjecture else Hypothesis)) 
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(0 upto last) ts 
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end 
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(** Helper facts **) 
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fun fold_formula f (AQuant (_, _, phi)) = fold_formula f phi 
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 fold_formula f (AConn (_, phis)) = fold (fold_formula f) phis 
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 fold_formula f (AAtom tm) = f tm 
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fun count_term (ATerm ((s, _), tms)) = 
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(if is_atp_variable s then I 
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else Symtab.map_entry s (Integer.add 1)) 
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#> fold count_term tms 
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fun count_formula x = fold_formula count_term x 
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val init_counters = 
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metis_helpers > map fst > sort_distinct string_ord > map (rpair 0) 
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> Symtab.make 
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fun get_helper_facts ctxt explicit_forall type_sys formulas = 
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let 
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val no_dangerous_types = types_dangerous_types type_sys 
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val ct = init_counters > fold count_formula formulas 
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fun is_used s = the (Symtab.lookup ct s) > 0 
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fun dub c needs_full_types (th, j) = 
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((c ^ "_" ^ string_of_int j ^ (if needs_full_types then "ft" else ""), 
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false), th) 
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fun make_facts eq_as_iff = map_filter (make_fact ctxt false eq_as_iff false) 
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in 
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(metis_helpers 
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> filter (is_used o fst) 
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> maps (fn (c, (needs_full_types, ths)) => 
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if needs_full_types andalso not no_dangerous_types then 
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[] 
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else 
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ths ~~ (1 upto length ths) 
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> map (dub c needs_full_types) 
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> make_facts (not needs_full_types)), 
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if type_sys = Tags false then 
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let 
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fun var s = ATerm (`I s, []) 
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fun tag tm = ATerm (`I type_tag_name, [var "X", tm]) 
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in 
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[Fof (helper_prefix ^ ascii_of "ti_ti", Axiom, 
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AAtom (ATerm (`I "equal", [tag (tag (var "Y")), tag (var "Y")])) 
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> explicit_forall ? close_universally, NONE)] 
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end 
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else 
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[]) 
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end 
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fun translate_atp_fact ctxt keep_trivial = 
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`(make_fact ctxt keep_trivial true true) 
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fun translate_formulas ctxt type_sys hyp_ts concl_t rich_facts = 
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let 
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val thy = ProofContext.theory_of ctxt 
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val fact_ts = map (prop_of o snd o snd) rich_facts 
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val (facts, fact_names) = 
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rich_facts 
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> map_filter (fn (NONE, _) => NONE 
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 (SOME fact, (name, _)) => SOME (fact, name)) 
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> ListPair.unzip 
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(* Remove existing facts from the conjecture, as this can dramatically 
39005  335 
boost an ATP's performance (for some reason). *) 
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val hyp_ts = hyp_ts > filter_out (member (op aconv) fact_ts) 
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val goal_t = Logic.list_implies (hyp_ts, concl_t) 
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val all_ts = goal_t :: fact_ts 
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val subs = tfree_classes_of_terms all_ts 
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val supers = tvar_classes_of_terms all_ts 
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val tycons = type_consts_of_terms thy all_ts 
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val conjs = make_conjecture ctxt (hyp_ts @ [concl_t]) 
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val (supers', arity_clauses) = 
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if type_sys = No_Types then ([], []) 
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else make_arity_clauses thy tycons supers 
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val class_rel_clauses = make_class_rel_clauses thy subs supers' 
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in 
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(fact_names > map single, (conjs, facts, class_rel_clauses, arity_clauses)) 
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end 
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350 

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fun tag_with_type ty t = ATerm (`I type_tag_name, [ty, t]) 
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352 

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fun fo_term_for_combtyp (CombTVar name) = ATerm (name, []) 
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 fo_term_for_combtyp (CombTFree name) = ATerm (name, []) 
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 fo_term_for_combtyp (CombType (name, tys)) = 
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ATerm (name, map fo_term_for_combtyp tys) 
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357 

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fun fo_literal_for_type_literal (TyLitVar (class, name)) = 
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(true, ATerm (class, [ATerm (name, [])])) 
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 fo_literal_for_type_literal (TyLitFree (class, name)) = 
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(true, ATerm (class, [ATerm (name, [])])) 
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362 

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fun formula_for_fo_literal (pos, t) = AAtom t > not pos ? mk_anot 
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364 

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(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are 
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considered dangerous because their "exhaust" properties can easily lead to 
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unsound ATP proofs. The checks below are an (unsound) approximation of 
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finiteness. *) 
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369 

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370 
fun is_dtyp_dangerous _ (Datatype_Aux.DtTFree _) = true 
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371 
 is_dtyp_dangerous ctxt (Datatype_Aux.DtType (s, Us)) = 
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372 
is_type_constr_dangerous ctxt s andalso forall (is_dtyp_dangerous ctxt) Us 
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373 
 is_dtyp_dangerous _ (Datatype_Aux.DtRec _) = false 
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374 
and is_type_dangerous ctxt (Type (s, Ts)) = 
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375 
is_type_constr_dangerous ctxt s andalso forall (is_type_dangerous ctxt) Ts 
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376 
 is_type_dangerous _ _ = false 
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377 
and is_type_constr_dangerous ctxt s = 
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378 
let val thy = ProofContext.theory_of ctxt in 
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379 
case Datatype_Data.get_info thy s of 
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380 
SOME {descr, ...} => 
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381 
forall (fn (_, (_, _, constrs)) => 
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382 
forall (forall (is_dtyp_dangerous ctxt) o snd) constrs) descr 
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383 
 NONE => 
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384 
case Typedef.get_info ctxt s of 
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385 
({rep_type, ...}, _) :: _ => is_type_dangerous ctxt rep_type 
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386 
 [] => true 
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387 
end 
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388 

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389 
fun is_combtyp_dangerous ctxt (CombType ((s, _), tys)) = 
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390 
(case strip_prefix_and_unascii type_const_prefix s of 
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391 
SOME s' => forall (is_combtyp_dangerous ctxt) tys andalso 
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392 
is_type_constr_dangerous ctxt (invert_const s') 
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393 
 NONE => false) 
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394 
 is_combtyp_dangerous _ _ = false 
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395 

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396 
fun should_tag_with_type ctxt (Tags full_types) ty = 
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397 
full_types orelse is_combtyp_dangerous ctxt ty 
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398 
 should_tag_with_type _ _ _ = false 
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399 

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400 
val fname_table = 
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401 
[("c_False", (0, ("c_fFalse", @{const_name Metis.fFalse}))), 
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402 
("c_True", (0, ("c_fTrue", @{const_name Metis.fTrue}))), 
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403 
("c_Not", (1, ("c_fNot", @{const_name Metis.fNot}))), 
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404 
("c_conj", (2, ("c_fconj", @{const_name Metis.fconj}))), 
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405 
("c_disj", (2, ("c_fdisj", @{const_name Metis.fdisj}))), 
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406 
("c_implies", (2, ("c_fimplies", @{const_name Metis.fimplies}))), 
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407 
("equal", (2, ("c_fequal", @{const_name Metis.fequal})))] 
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408 

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409 
(* We are crossing our fingers that it doesn't clash with anything else. *) 
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410 
val mangled_type_sep = "\000" 
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411 

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412 
fun mangled_combtyp f (CombTFree name) = f name 
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413 
 mangled_combtyp f (CombTVar name) = 
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414 
f name (* FIXME: shouldn't happen *) 
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415 
(* raise Fail "impossible schematic type variable" *) 
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416 
 mangled_combtyp f (CombType (name, tys)) = 
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417 
"(" ^ commas (map (mangled_combtyp f) tys) ^ ")" ^ f name 
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418 

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419 
fun mangled_type_suffix f g tys = 
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420 
fold_rev (curry (op ^) o g o prefix mangled_type_sep o mangled_combtyp f) 
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421 
tys "" 
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422 

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423 
val parse_mangled_ident = 
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424 
Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode 
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425 

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426 
fun parse_mangled_type x = 
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427 
($$ "("  Scan.optional parse_mangled_types []  $$ ")" 
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428 
 parse_mangled_ident >> (ATerm o swap) 
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429 
 parse_mangled_ident >> (ATerm o rpair [])) x 
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430 
and parse_mangled_types x = 
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431 
(parse_mangled_type ::: Scan.repeat ($$ ","  parse_mangled_type)) x 
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432 

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433 
fun unmangled_type s = 
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434 
s > suffix ")" > raw_explode 
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435 
> Scan.finite Symbol.stopper 
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436 
(Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^ 
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437 
quote s)) parse_mangled_type)) 
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438 
> fst 
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439 

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440 
fun unmangled_const s = 
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441 
let val ss = space_explode mangled_type_sep s in 
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442 
(hd ss, map unmangled_type (tl ss)) 
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443 
end 
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444 

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445 
fun fo_term_for_combterm ctxt type_sys = 
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446 
let 
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447 
val thy = ProofContext.theory_of ctxt 
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448 
fun aux top_level u = 
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449 
let 
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450 
val (head, args) = strip_combterm_comb u 
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451 
val (x, ty_args) = 
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452 
case head of 
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453 
CombConst (name as (s, s'), _, ty_args) => 
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454 
(case AList.lookup (op =) fname_table s of 
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455 
SOME (n, fname) => 
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456 
(if top_level andalso length args = n then 
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457 
case s of 
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458 
"c_False" => ("$false", s') 
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459 
 "c_True" => ("$true", s') 
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460 
 _ => name 
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461 
else 
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462 
fname, []) 
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463 
 NONE => 
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464 
case strip_prefix_and_unascii const_prefix s of 
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465 
NONE => (name, ty_args) 
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466 
 SOME s'' => 
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467 
let val s'' = invert_const s'' in 
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468 
case type_arg_policy thy type_sys s'' of 
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469 
No_Type_Args => (name, []) 
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470 
 Explicit_Type_Args => (name, ty_args) 
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471 
 Mangled_Types => 
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472 
((s ^ mangled_type_suffix fst ascii_of ty_args, 
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473 
s' ^ mangled_type_suffix snd I ty_args), []) 
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474 
end) 
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475 
 CombVar (name, _) => (name, []) 
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476 
 CombApp _ => raise Fail "impossible \"CombApp\"" 
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477 
val t = 
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478 
ATerm (x, map fo_term_for_combtyp ty_args @ map (aux false) args) 
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479 
val ty = combtyp_of u 
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480 
in 
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481 
t > (if should_tag_with_type ctxt type_sys ty then 
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482 
tag_with_type (fo_term_for_combtyp ty) 
41134  483 
else 
484 
I) 

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485 
end 
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486 
in aux true end 
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487 

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488 
fun formula_for_combformula ctxt type_sys = 
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489 
let 
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490 
fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi) 
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491 
 aux (AConn (c, phis)) = AConn (c, map aux phis) 
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492 
 aux (AAtom tm) = AAtom (fo_term_for_combterm ctxt type_sys tm) 
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493 
in aux end 
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494 

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495 
fun formula_for_fact ctxt type_sys 
40204
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496 
({combformula, ctypes_sorts, ...} : translated_formula) = 
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497 
mk_ahorn (map (formula_for_fo_literal o fo_literal_for_type_literal) 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

498 
(atp_type_literals_for_types type_sys Axiom ctypes_sorts)) 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

499 
(formula_for_combformula ctxt type_sys combformula) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

500 

42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

501 
(* Each fact is given a unique fact number to avoid name clashes (e.g., because 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

502 
of monomorphization). The TPTP explicitly forbids name clashes, and some of 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

503 
the remote provers might care. *) 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

504 
fun problem_line_for_fact ctxt prefix type_sys 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

505 
(j, formula as {name, kind, ...}) = 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

506 
Fof (prefix ^ string_of_int j ^ "_" ^ ascii_of name, kind, 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

507 
formula_for_fact ctxt type_sys formula, NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

508 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

509 
fun problem_line_for_class_rel_clause (ClassRelClause {name, subclass, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

510 
superclass, ...}) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

511 
let val ty_arg = ATerm (("T", "T"), []) in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

512 
Fof (class_rel_clause_prefix ^ ascii_of name, Axiom, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

513 
AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])), 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

514 
AAtom (ATerm (superclass, [ty_arg]))]), NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

515 
end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

516 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

517 
fun fo_literal_for_arity_literal (TConsLit (c, t, args)) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

518 
(true, ATerm (c, [ATerm (t, map (fn arg => ATerm (arg, [])) args)])) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

519 
 fo_literal_for_arity_literal (TVarLit (c, sort)) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

520 
(false, ATerm (c, [ATerm (sort, [])])) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

521 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

522 
fun problem_line_for_arity_clause (ArityClause {name, conclLit, premLits, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

523 
...}) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

524 
Fof (arity_clause_prefix ^ ascii_of name, Axiom, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

525 
mk_ahorn (map (formula_for_fo_literal o apfst not 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

526 
o fo_literal_for_arity_literal) premLits) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

527 
(formula_for_fo_literal 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

528 
(fo_literal_for_arity_literal conclLit)), NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

529 

41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

530 
fun problem_line_for_conjecture ctxt type_sys 
40114  531 
({name, kind, combformula, ...} : translated_formula) = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

532 
Fof (conjecture_prefix ^ name, kind, 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

533 
formula_for_combformula ctxt type_sys combformula, NONE) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

534 

42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

535 
fun free_type_literals type_sys ({ctypes_sorts, ...} : translated_formula) = 
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

536 
ctypes_sorts > atp_type_literals_for_types type_sys Conjecture 
41137
8b634031b2a5
implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents:
41136
diff
changeset

537 
> map fo_literal_for_type_literal 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

538 

39975
7c50d5ca5c04
avoid generating several formulas with the same name ("tfrees")
blanchet
parents:
39954
diff
changeset

539 
fun problem_line_for_free_type j lit = 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

540 
Fof (tfree_prefix ^ string_of_int j, Hypothesis, formula_for_fo_literal lit, 
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

541 
NONE) 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

542 
fun problem_lines_for_free_types type_sys facts = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

543 
let 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

544 
val litss = map (free_type_literals type_sys) facts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

545 
val lits = fold (union (op =)) litss [] 
39975
7c50d5ca5c04
avoid generating several formulas with the same name ("tfrees")
blanchet
parents:
39954
diff
changeset

546 
in map2 problem_line_for_free_type (0 upto length lits  1) lits end 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

547 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

548 
(** "hBOOL" and "hAPP" **) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

549 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

550 
type const_info = {min_arity: int, max_arity: int, sub_level: bool} 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

551 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

552 
fun consider_term top_level (ATerm ((s, _), ts)) = 
39452  553 
(if is_atp_variable s then 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

554 
I 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

555 
else 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

556 
let val n = length ts in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

557 
Symtab.map_default 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

558 
(s, {min_arity = n, max_arity = 0, sub_level = false}) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

559 
(fn {min_arity, max_arity, sub_level} => 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

560 
{min_arity = Int.min (n, min_arity), 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

561 
max_arity = Int.max (n, max_arity), 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

562 
sub_level = sub_level orelse not top_level}) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

563 
end) 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

564 
#> fold (consider_term (top_level andalso s = type_tag_name)) ts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

565 
fun consider_formula (AQuant (_, _, phi)) = consider_formula phi 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

566 
 consider_formula (AConn (_, phis)) = fold consider_formula phis 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

567 
 consider_formula (AAtom tm) = consider_term true tm 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

568 

41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

569 
fun consider_problem_line (Fof (_, _, phi, _)) = consider_formula phi 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

570 
fun consider_problem problem = fold (fold consider_problem_line o snd) problem 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

571 

41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

572 
(* needed for helper facts if the problem otherwise does not involve equality *) 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

573 
val equal_entry = ("equal", {min_arity = 2, max_arity = 2, sub_level = false}) 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

574 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

575 
fun const_table_for_problem explicit_apply problem = 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

576 
if explicit_apply then 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

577 
NONE 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

578 
else 
41147
0e1903273712
fix translation of higherorder equality ("fequal") if "precise_overloaded_args" is "true"
blanchet
parents:
41145
diff
changeset

579 
SOME (Symtab.empty > Symtab.default equal_entry > consider_problem problem) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

580 

41134  581 
fun min_arity_of thy type_sys NONE s = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

582 
(if s = "equal" orelse s = type_tag_name orelse 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

583 
String.isPrefix type_const_prefix s orelse 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

584 
String.isPrefix class_prefix s then 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

585 
16383 (* large number *) 
38748  586 
else case strip_prefix_and_unascii const_prefix s of 
42227
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset

587 
SOME s' => 
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset

588 
s' > unmangled_const > fst > invert_const 
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset

589 
> num_atp_type_args thy type_sys 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

590 
 NONE => 0) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

591 
 min_arity_of _ _ (SOME the_const_tab) s = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

592 
case Symtab.lookup the_const_tab s of 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

593 
SOME ({min_arity, ...} : const_info) => min_arity 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

594 
 NONE => 0 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

595 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

596 
fun full_type_of (ATerm ((s, _), [ty, _])) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

597 
if s = type_tag_name then SOME ty else NONE 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

598 
 full_type_of _ = NONE 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

599 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

600 
fun list_hAPP_rev _ t1 [] = t1 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

601 
 list_hAPP_rev NONE t1 (t2 :: ts2) = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

602 
ATerm (`I "hAPP", [list_hAPP_rev NONE t1 ts2, t2]) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

603 
 list_hAPP_rev (SOME ty) t1 (t2 :: ts2) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

604 
case full_type_of t2 of 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

605 
SOME ty2 => 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

606 
let val ty' = ATerm (`make_fixed_type_const @{type_name fun}, 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

607 
[ty2, ty]) in 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

608 
ATerm (`I "hAPP", 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

609 
[tag_with_type ty' (list_hAPP_rev (SOME ty') t1 ts2), t2]) 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

610 
end 
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

611 
 NONE => list_hAPP_rev NONE t1 (t2 :: ts2) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

612 

41134  613 
fun repair_applications_in_term thy type_sys const_tab = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

614 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

615 
fun aux opt_ty (ATerm (name as (s, _), ts)) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

616 
if s = type_tag_name then 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

617 
case ts of 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

618 
[t1, t2] => ATerm (name, [aux NONE t1, aux (SOME t1) t2]) 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

619 
 _ => raise Fail "malformed type tag" 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

620 
else 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

621 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

622 
val ts = map (aux NONE) ts 
41134  623 
val (ts1, ts2) = chop (min_arity_of thy type_sys const_tab s) ts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

624 
in list_hAPP_rev opt_ty (ATerm (name, ts1)) (rev ts2) end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

625 
in aux NONE end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

626 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

627 
fun boolify t = ATerm (`I "hBOOL", [t]) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

628 

319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

629 
(* True if the constant ever appears outside of the toplevel position in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

630 
literals, or if it appears with different arities (e.g., because of different 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

631 
type instantiations). If false, the constant always receives all of its 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

632 
arguments and is used as a predicate. *) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

633 
fun is_predicate NONE s = 
38589
b03f8fe043ec
added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents:
38518
diff
changeset

634 
s = "equal" orelse s = "$false" orelse s = "$true" orelse 
b03f8fe043ec
added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents:
38518
diff
changeset

635 
String.isPrefix type_const_prefix s orelse String.isPrefix class_prefix s 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

636 
 is_predicate (SOME the_const_tab) s = 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

637 
case Symtab.lookup the_const_tab s of 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

638 
SOME {min_arity, max_arity, sub_level} => 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

639 
not sub_level andalso min_arity = max_arity 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

640 
 NONE => false 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

641 

41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

642 
fun repair_predicates_in_term pred_const_tab (t as ATerm ((s, _), ts)) = 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

643 
if s = type_tag_name then 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

644 
case ts of 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

645 
[_, t' as ATerm ((s', _), _)] => 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

646 
if is_predicate pred_const_tab s' then t' else boolify t 
41138
eb80538166b6
implemented partiallytyped "tags" type encoding
blanchet
parents:
41137
diff
changeset

647 
 _ => raise Fail "malformed type tag" 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

648 
else 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

649 
t > not (is_predicate pred_const_tab s) ? boolify 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

650 

41134  651 
fun repair_formula thy explicit_forall type_sys const_tab = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

652 
let 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

653 
val pred_const_tab = case type_sys of Tags _ => NONE  _ => const_tab 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

654 
fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

655 
 aux (AConn (c, phis)) = AConn (c, map aux phis) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

656 
 aux (AAtom tm) = 
41134  657 
AAtom (tm > repair_applications_in_term thy type_sys const_tab 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

658 
> repair_predicates_in_term pred_const_tab) 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

659 
in aux #> explicit_forall ? close_universally end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

660 

41134  661 
fun repair_problem_line thy explicit_forall type_sys const_tab 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

662 
(Fof (ident, kind, phi, source)) = 
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

663 
Fof (ident, kind, repair_formula thy explicit_forall type_sys const_tab phi, 
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

664 
source) 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

665 
fun repair_problem thy = map o apsnd o map ooo repair_problem_line thy 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

666 

41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

667 
fun dest_Fof (Fof z) = z 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

668 

41157  669 
val factsN = "Relevant facts" 
670 
val class_relsN = "Class relationships" 

671 
val aritiesN = "Arity declarations" 

672 
val helpersN = "Helper facts" 

673 
val conjsN = "Conjectures" 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

674 
val free_typesN = "Type variables" 
41157  675 

676 
fun offset_of_heading_in_problem _ [] j = j 

677 
 offset_of_heading_in_problem needle ((heading, lines) :: problem) j = 

678 
if heading = needle then j 

679 
else offset_of_heading_in_problem needle problem (j + length lines) 

680 

41134  681 
fun prepare_atp_problem ctxt readable_names explicit_forall type_sys 
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer  but keep "Axiom" in the lowerlevel "ATP_Problem" module
blanchet
parents:
40145
diff
changeset

682 
explicit_apply hyp_ts concl_t facts = 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

683 
let 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

684 
val thy = ProofContext.theory_of ctxt 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

685 
val (fact_names, (conjs, facts, class_rel_clauses, arity_clauses)) = 
41134  686 
translate_formulas ctxt type_sys hyp_ts concl_t facts 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

687 
(* Reordering these might or might not confuse the proof reconstruction 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

688 
code or the SPASS Flotter hack. *) 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

689 
val problem = 
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

690 
[(factsN, map (problem_line_for_fact ctxt fact_prefix type_sys) 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

691 
(0 upto length facts  1 ~~ facts)), 
41157  692 
(class_relsN, map problem_line_for_class_rel_clause class_rel_clauses), 
693 
(aritiesN, map problem_line_for_arity_clause arity_clauses), 

694 
(helpersN, []), 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

695 
(conjsN, map (problem_line_for_conjecture ctxt type_sys) conjs), 
42353
7797efa897a1
correctly handle TFrees that occur in (local) facts  Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents:
42237
diff
changeset

696 
(free_typesN, problem_lines_for_free_types type_sys (facts @ conjs))] 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

697 
val const_tab = const_table_for_problem explicit_apply problem 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

698 
val problem = 
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

699 
problem > repair_problem thy explicit_forall type_sys const_tab 
41157  700 
val helper_lines = 
41145
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

701 
get_helper_facts ctxt explicit_forall type_sys 
a5ee3b8e5a90
improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents:
41140
diff
changeset

702 
(maps (map (#3 o dest_Fof) o snd) problem) 
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

703 
>> map (pair 0 
a6c141925a8a
added monomorphization option to Sledgehammer ATPs  this looks promising but is still off by default
blanchet
parents:
41990
diff
changeset

704 
#> problem_line_for_fact ctxt helper_prefix type_sys 
41157  705 
#> repair_problem_line thy explicit_forall type_sys const_tab) 
706 
> op @ 

41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

707 
val (problem, pool) = 
41157  708 
problem > AList.update (op =) (helpersN, helper_lines) 
41140
9c68004b8c9d
added Sledgehammer support for higherorder propositional reasoning
blanchet
parents:
41138
diff
changeset

709 
> nice_atp_problem readable_names 
38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

710 
in 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

711 
(problem, 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

712 
case pool of SOME the_pool => snd the_pool  NONE => Symtab.empty, 
41157  713 
offset_of_heading_in_problem conjsN problem 0, 
714 
fact_names > Vector.fromList) 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

715 
end 
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

716 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

717 
(* FUDGE *) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

718 
val conj_weight = 0.0 
41770  719 
val hyp_weight = 0.1 
720 
val fact_min_weight = 0.2 

41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

721 
val fact_max_weight = 1.0 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

722 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

723 
fun add_term_weights weight (ATerm (s, tms)) = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

724 
(not (is_atp_variable s) andalso s <> "equal") ? Symtab.default (s, weight) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

725 
#> fold (add_term_weights weight) tms 
41769
eb2e39555f98
extended ATP problem syntax to support other applications than Sledgehammer, e.g. experiments with ATPs
blanchet
parents:
41748
diff
changeset

726 
fun add_problem_line_weights weight (Fof (_, _, phi, _)) = 
41384  727 
fold_formula (add_term_weights weight) phi 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

728 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

729 
fun add_conjectures_weights [] = I 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

730 
 add_conjectures_weights conjs = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

731 
let val (hyps, conj) = split_last conjs in 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

732 
add_problem_line_weights conj_weight conj 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

733 
#> fold (add_problem_line_weights hyp_weight) hyps 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

734 
end 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

735 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

736 
fun add_facts_weights facts = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

737 
let 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

738 
val num_facts = length facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

739 
fun weight_of j = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

740 
fact_min_weight + (fact_max_weight  fact_min_weight) * Real.fromInt j 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

741 
/ Real.fromInt num_facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

742 
in 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

743 
map weight_of (0 upto num_facts  1) ~~ facts 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

744 
> fold (uncurry add_problem_line_weights) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

745 
end 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

746 

a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

747 
(* Weights are from 0.0 (most important) to 1.0 (least important). *) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

748 
fun atp_problem_weights problem = 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

749 
Symtab.empty 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

750 
> add_conjectures_weights (these (AList.lookup (op =) problem conjsN)) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

751 
> add_facts_weights (these (AList.lookup (op =) problem factsN)) 
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

752 
> Symtab.dest 
41726  753 
> sort (prod_ord Real.compare string_ord o pairself swap) 
41313
a96ac4d180b7
optionally supply constant weights to E  turned off by default until properly parameterized
blanchet
parents:
41211
diff
changeset

754 

38282
319c59682c51
move Sledgehammer's HOL > FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff
changeset

755 
end; 