Added HOL proof importer.
structure Replay =
struct
structure P = ProofKernel
open ProofKernel
exception REPLAY of string * string
fun ERR f mesg = REPLAY (f,mesg)
fun NY f = raise ERR f "NOT YET!"
fun replay_proof int_thms thyname thmname prf thy =
let
fun rp (PRefl tm) thy = P.REFL tm thy
| rp (PInstT(p,lambda)) thy =
let
val (thy',th) = rp' p thy
in
P.INST_TYPE lambda th thy'
end
| rp (PSubst(prfs,ctxt,prf)) thy =
let
val (thy',ths) = foldr (fn (p,(thy,ths)) =>
let
val (thy',th) = rp' p thy
in
(thy',th::ths)
end) (prfs,(thy,[]))
val (thy'',th) = rp' prf thy'
in
P.SUBST ths ctxt th thy''
end
| rp (PAbs(prf,v)) thy =
let
val (thy',th) = rp' prf thy
in
P.ABS v th thy'
end
| rp (PDisch(prf,tm)) thy =
let
val (thy',th) = rp' prf thy
in
P.DISCH tm th thy'
end
| rp (PMp(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.MP th1 th2 thy2
end
| rp (PHyp tm) thy = P.ASSUME tm thy
| rp (PDef(seg,name,rhs)) thy =
(case P.get_def seg name rhs thy of
(thy',Some res) => (thy',res)
| (thy',None) =>
if seg = thyname
then P.new_definition seg name rhs thy'
else raise ERR "replay_proof" "Too late for term definition")
| rp (POracle(tg,asl,c)) thy = (*P.mk_oracle_thm tg (map be_contract asl,c)*) NY "ORACLE"
| rp (PSpec(prf,tm)) thy =
let
val (thy',th) = rp' prf thy
in
P.SPEC tm th thy'
end
| rp (PInst(prf,theta)) thy =
let
val (thy',th) = rp' prf thy
in
P.INST theta th thy'
end
| rp (PGen(prf,v)) thy =
let
val (thy',th) = rp' prf thy
in
P.GEN v th thy'
end
| rp (PGenAbs(prf,opt,vl)) thy =
let
val (thy',th) = rp' prf thy
in
P.GEN_ABS opt vl th thy'
end
| rp (PImpAS(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.IMP_ANTISYM th1 th2 thy2
end
| rp (PSym prf) thy =
let
val (thy1,th) = rp' prf thy
in
P.SYM th thy1
end
| rp (PTrans(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.TRANS th1 th2 thy2
end
| rp (PComb(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.COMB th1 th2 thy2
end
| rp (PEqMp(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.EQ_MP th1 th2 thy2
end
| rp (PEqImp prf) thy =
let
val (thy',th) = rp' prf thy
in
P.EQ_IMP_RULE th thy'
end
| rp (PExists(prf,ex,wit)) thy =
let
val (thy',th) = rp' prf thy
in
P.EXISTS ex wit th thy'
end
| rp (PChoose(v,prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.CHOOSE v th1 th2 thy2
end
| rp (PConj(prf1,prf2)) thy =
let
val (thy1,th1) = rp' prf1 thy
val (thy2,th2) = rp' prf2 thy1
in
P.CONJ th1 th2 thy2
end
| rp (PConjunct1 prf) thy =
let
val (thy',th) = rp' prf thy
in
P.CONJUNCT1 th thy'
end
| rp (PConjunct2 prf) thy =
let
val (thy',th) = rp' prf thy
in
P.CONJUNCT2 th thy'
end
| rp (PDisj1(prf,tm)) thy =
let
val (thy',th) = rp' prf thy
in
P.DISJ1 th tm thy'
end
| rp (PDisj2(prf,tm)) thy =
let
val (thy',th) = rp' prf thy
in
P.DISJ2 tm th thy'
end
| rp (PDisjCases(prf,prf1,prf2)) thy =
let
val (thy',th) = rp' prf thy
val (thy1,th1) = rp' prf1 thy'
val (thy2,th2) = rp' prf2 thy1
in
P.DISJ_CASES th th1 th2 thy2
end
| rp (PNotI prf) thy =
let
val (thy',th) = rp' prf thy
in
P.NOT_INTRO th thy'
end
| rp (PNotE prf) thy =
let
val (thy',th) = rp' prf thy
in
P.NOT_ELIM th thy'
end
| rp (PContr(prf,tm)) thy =
let
val (thy',th) = rp' prf thy
in
P.CCONTR tm th thy'
end
| rp (PTmSpec _) _ = raise ERR "rp" "Shouldn't reach here (PTmSpec)"
| rp (PTyDef _) _ = raise ERR "rp" "Shouldn't reach here (PTyDef)"
| rp (PTyIntro _) _ = raise ERR "rp" "Shouldn't reach here (PTyIntro)"
| rp PDisk _ = raise ERR "rp" "Shouldn't reach here (PDisk)"
| rp _ _ = raise ERR "rp" "What the hell is this? Which case did I forget?"
and rp' p thy =
let
val pc = content_of p
in
case pc of
PDisk => (case disk_info_of p of
Some(thyname',thmname) =>
(case Int.fromString thmname of
SOME i =>
if thyname' = thyname
then
(case Array.sub(int_thms,i-1) of
None =>
let
val (thy',th) = rp' (snd (import_proof thyname' thmname thy) thy) thy
val _ = Array.update(int_thms,i-1,Some th)
in
(thy',th)
end
| Some th => (thy,th))
else raise ERR "replay_proof" ("Library " ^ thyname' ^ " should be built before " ^ thyname ^ " (" ^ thmname ^ ")")
| NONE =>
(case P.get_thm thyname' thmname thy of
(thy',Some res) => (thy',res)
| (thy',None) =>
if thyname' = thyname
then
let
val _ = writeln ("Found no " ^ thmname ^ " theorem, replaying...")
val (f_opt,prf) = import_proof thyname' thmname thy'
val prf = prf thy'
val (thy',th) = replay_proof int_thms thyname' thmname prf thy'
in
case content_of prf of
PTmSpec _ => (thy',th)
| PTyDef _ => (thy',th)
| PTyIntro _ => (thy',th)
| _ => P.store_thm thyname' thmname th thy'
end
else raise ERR "replay_proof" ("Library " ^ thyname' ^ " should be built before " ^ thyname ^ " (" ^ thmname ^ ")")))
| None => raise ERR "rp'.PDisk" "Not enough information")
| PAxm(name,c) =>
(case P.get_axiom thyname name thy of
(thy',Some res) => (thy',res)
| (thy',None) => P.new_axiom name c thy')
| PTmSpec(seg,names,prf') =>
let
val (thy',th) = rp' prf' thy
in
P.new_specification seg thmname names th thy'
end
| PTyDef(seg,name,prf') =>
let
val (thy',th) = rp' prf' thy
in
P.new_type_definition seg thmname name th thy'
end
| PTyIntro(seg,name,abs_name,rep_name,P,t,prf') =>
let
val (thy',th) = rp' prf' thy
in
P.type_introduction seg thmname name abs_name rep_name (P,t) th thy'
end
| _ => rp pc thy
end
in
rp' prf thy handle e => (writeln "Exception in replay_proof"; print_exn e)
end
fun setup_int_thms thyname thy =
let
val is = TextIO.openIn(P.get_proof_dir thyname thy ^"/facts.lst")
val (num_int_thms,facts) =
let
fun get_facts facts =
case TextIO.inputLine is of
"" => (case facts of
i::facts => (valOf (Int.fromString i),rev facts)
| _ => raise ERR "replay_thm" "Bad facts.lst file")
| fact => get_facts ((String.substring(fact,0,String.size fact -1 ))::facts)
in
get_facts []
end
val _ = TextIO.closeIn is
val int_thms = Array.array(num_int_thms,None:thm option)
in
(int_thms,facts)
end
fun import_single_thm thyname int_thms thmname thy =
let
fun replay_fact (thmname,thy) =
let
val _ = writeln ("Replaying " ^ thmname)
val prf = mk_proof PDisk
val _ = set_disk_info_of prf thyname thmname
in
fst (replay_proof int_thms thyname thmname prf thy)
end
in
replay_fact (thmname,thy)
end
fun import_thms thyname int_thms thmnames thy =
let
fun replay_fact (thy,thmname) =
let
val _ = writeln ("Replaying " ^ thmname)
val prf = mk_proof PDisk
val _ = set_disk_info_of prf thyname thmname
in
fst (replay_proof int_thms thyname thmname prf thy)
end
val res_thy = foldl replay_fact (thy,thmnames)
in
res_thy
end
fun import_thm thyname thmname thy =
let
val int_thms = fst (setup_int_thms thyname thy)
fun replay_fact (thmname,thy) =
let
val _ = writeln ("Replaying " ^ thmname)
val prf = mk_proof PDisk
val _ = set_disk_info_of prf thyname thmname
in
fst (replay_proof int_thms thyname thmname prf thy)
end
in
replay_fact (thmname,thy)
end
end