author | hoelzl |
Mon, 09 Feb 2009 11:19:44 +0100 | |
changeset 29834 | 3237cfd177f3 |
parent 29805 | a5da150bd0ab |
child 30148 | 5d04b67a866e |
permissions | -rw-r--r-- |
29650 | 1 |
(* Title: HOL/Library/reflection.ML |
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Author: Amine Chaieb, TU Muenchen |
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A trial for automatical reification. |
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*) |
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signature REFLECTION = |
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sig |
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val genreify_tac: Proof.context -> thm list -> term option -> int -> tactic |
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val reflection_tac: Proof.context -> thm list -> thm list -> term option -> int -> tactic |
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val gen_reflection_tac: Proof.context -> (cterm -> thm) |
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-> thm list -> thm list -> term option -> int -> tactic |
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end; |
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||
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structure Reflection : REFLECTION = |
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struct |
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val ext2 = @{thm ext2}; |
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val nth_Cons_0 = @{thm nth_Cons_0}; |
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val nth_Cons_Suc = @{thm nth_Cons_Suc}; |
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(* Make a congruence rule out of a defining equation for the interpretation *) |
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(* th is one defining equation of f, i.e. |
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th is "f (Cp ?t1 ... ?tn) = P(f ?t1, .., f ?tn)" *) |
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(* Cp is a constructor pattern and P is a pattern *) |
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(* The result is: |
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[|?A1 = f ?t1 ; .. ; ?An= f ?tn |] ==> P (?A1, .., ?An) = f (Cp ?t1 .. ?tn) *) |
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(* + the a list of names of the A1 .. An, Those are fresh in the ctxt*) |
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fun mk_congeq ctxt fs th = |
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let |
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val (f as Const(fN,fT)) = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |
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|> fst |> strip_comb |> fst |
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val thy = ProofContext.theory_of ctxt |
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val cert = Thm.cterm_of thy |
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val (((_,_),[th']), ctxt') = Variable.import_thms true [th] ctxt |
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val (lhs, rhs) = HOLogic.dest_eq (HOLogic.dest_Trueprop (Thm.prop_of th')) |
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fun add_fterms (t as t1 $ t2) = |
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if exists (fn f => Term.could_unify (t |> strip_comb |> fst, f)) fs then insert (op aconv) t |
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else add_fterms t1 #> add_fterms t2 |
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| add_fterms (t as Abs(xn,xT,t')) = |
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if exists_Const (fn (c, _) => c = fN) t then (fn _ => [t]) else (fn _ => []) |
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| add_fterms _ = I |
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val fterms = add_fterms rhs [] |
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val (xs, ctxt'') = Variable.variant_fixes (replicate (length fterms) "x") ctxt' |
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val tys = map fastype_of fterms |
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val vs = map Free (xs ~~ tys) |
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val env = fterms ~~ vs |
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(* FIXME!!!!*) |
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fun replace_fterms (t as t1 $ t2) = |
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(case AList.lookup (op aconv) env t of |
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SOME v => v |
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| NONE => replace_fterms t1 $ replace_fterms t2) |
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| replace_fterms t = (case AList.lookup (op aconv) env t of |
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SOME v => v |
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| NONE => t) |
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fun mk_def (Abs(x,xT,t),v) = HOLogic.mk_Trueprop ((HOLogic.all_const xT)$ Abs(x,xT,HOLogic.mk_eq(v$(Bound 0), t))) |
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| mk_def (t, v) = HOLogic.mk_Trueprop (HOLogic.mk_eq (v, t)) |
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fun tryext x = (x RS ext2 handle THM _ => x) |
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val cong = (Goal.prove ctxt'' [] (map mk_def env) |
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(HOLogic.mk_Trueprop (HOLogic.mk_eq (lhs, replace_fterms rhs))) |
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(fn x => LocalDefs.unfold_tac (#context x) (map tryext (#prems x)) |
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THEN rtac th' 1)) RS sym |
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val (cong' :: vars') = |
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Variable.export ctxt'' ctxt (cong :: map (Drule.mk_term o cert) vs) |
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val vs' = map (fst o fst o Term.dest_Var o Thm.term_of o Drule.dest_term) vars' |
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in (vs', cong') end; |
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(* congs is a list of pairs (P,th) where th is a theorem for *) |
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(* [| f p1 = A1; ...; f pn = An|] ==> f (C p1 .. pn) = P *) |
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val FWD = curry (op OF); |
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(* da is the decomposition for atoms, ie. it returns ([],g) where g |
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returns the right instance f (AtC n) = t , where AtC is the Atoms |
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constructor and n is the number of the atom corresponding to t *) |
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(* Generic decomp for reification : matches the actual term with the |
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rhs of one cong rule. The result of the matching guides the |
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proof synthesis: The matches of the introduced Variables A1 .. An are |
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processed recursively |
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The rest is instantiated in the cong rule,i.e. no reification is needed *) |
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exception REIF of string; |
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fun dest_listT (Type ("List.list", [T])) = T; |
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fun partition P [] = ([],[]) |
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| partition P (x::xs) = |
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let val (yes,no) = partition P xs |
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in if P x then (x::yes,no) else (yes, x::no) end |
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fun rearrange congs = |
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let |
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fun P (_, th) = |
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let val @{term "Trueprop"}$(Const ("op =",_) $l$_) = concl_of th |
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in can dest_Var l end |
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val (yes,no) = partition P congs |
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in no @ yes end |
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fun genreif ctxt raw_eqs t = |
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let |
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val bds = ref ([]: (typ * ((term list) * (term list))) list); |
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107 |
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fun index_of t = |
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let |
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val tt = HOLogic.listT (fastype_of t) |
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in |
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(case AList.lookup Type.could_unify (!bds) tt of |
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NONE => error "index_of : type not found in environements!" |
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| SOME (tbs,tats) => |
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let |
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val i = find_index_eq t tats |
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val j = find_index_eq t tbs |
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in (if j= ~1 then |
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if i= ~1 |
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then (bds := AList.update Type.could_unify (tt,(tbs,tats@[t])) (!bds) ; |
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length tbs + length tats) |
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else i else j) |
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end) |
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end; |
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fun decomp_genreif da cgns (t,ctxt) = |
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127 |
let |
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val thy = ProofContext.theory_of ctxt |
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val cert = cterm_of thy |
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fun tryabsdecomp (s,ctxt) = |
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(case s of |
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Abs(xn,xT,ta) => |
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133 |
(let |
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val ([xn],ctxt') = Variable.variant_fixes ["x"] ctxt |
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val (xn,ta) = variant_abs (xn,xT,ta) |
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
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val x = Free(xn,xT) |
23605 | 137 |
val _ = (case AList.lookup Type.could_unify (!bds) (HOLogic.listT xT) |
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of NONE => error "tryabsdecomp: Type not found in the Environement" |
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| SOME (bsT,atsT) => |
23605 | 140 |
(bds := AList.update Type.could_unify (HOLogic.listT xT, ((x::bsT), atsT)) (!bds))) |
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in ([(ta, ctxt')] , |
23605 | 142 |
fn [th] => ((let val (bsT,asT) = the(AList.lookup Type.could_unify (!bds) (HOLogic.listT xT)) |
143 |
in (bds := AList.update Type.could_unify (HOLogic.listT xT,(tl bsT,asT)) (!bds)) |
|
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144 |
end) ; |
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145 |
hd (Variable.export ctxt' ctxt [(forall_intr (cert x) th) COMP allI]))) |
20374 | 146 |
end) |
147 |
| _ => da (s,ctxt)) |
|
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in |
|
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(case cgns of |
|
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[] => tryabsdecomp (t,ctxt) |
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| ((vns,cong)::congs) => ((let |
|
152 |
val cert = cterm_of thy |
|
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153 |
val certy = ctyp_of thy |
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154 |
val (tyenv, tmenv) = |
20319 | 155 |
Pattern.match thy |
156 |
((fst o HOLogic.dest_eq o HOLogic.dest_Trueprop) (concl_of cong), t) |
|
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157 |
(Envir.type_env (Envir.empty 0), Vartab.empty) |
20319 | 158 |
val (fnvs,invs) = List.partition (fn ((vn,_),_) => vn mem vns) (Vartab.dest tmenv) |
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159 |
val (fts,its) = |
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160 |
(map (snd o snd) fnvs, |
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161 |
map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t)) invs) |
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162 |
val ctyenv = map (fn ((vn,vi),(s,ty)) => (certy (TVar((vn,vi),s)), certy ty)) (Vartab.dest tyenv) |
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163 |
in (fts ~~ (replicate (length fts) ctxt), FWD (instantiate (ctyenv, its) cong)) |
20319 | 164 |
end) |
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165 |
handle MATCH => decomp_genreif da congs (t,ctxt))) |
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
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|
166 |
end; |
23648
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Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
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changeset
|
167 |
|
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
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|
168 |
(* looks for the atoms equation and instantiates it with the right number *) |
20374 | 169 |
fun mk_decompatom eqs (t,ctxt) = |
23605 | 170 |
let |
171 |
val tT = fastype_of t |
|
172 |
fun isat eq = |
|
173 |
let |
|
174 |
val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd |
|
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
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175 |
in exists_Const |
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
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|
176 |
(fn (n,ty) => n="List.nth" |
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
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|
177 |
andalso |
22199
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|
178 |
AList.defined Type.could_unify (!bds) (domain_type ty)) rhs |
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|
179 |
andalso Type.could_unify (fastype_of rhs, tT) |
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|
180 |
end |
23605 | 181 |
fun get_nths t acc = |
182 |
case t of |
|
183 |
Const("List.nth",_)$vs$n => insert (fn ((a,_),(b,_)) => a aconv b) (t,(vs,n)) acc |
|
184 |
| t1$t2 => get_nths t1 (get_nths t2 acc) |
|
185 |
| Abs(_,_,t') => get_nths t' acc |
|
186 |
| _ => acc |
|
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Generalized case for atoms. Selection of environment lists is allowed more than once.
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|
187 |
|
23605 | 188 |
fun |
189 |
tryeqs [] = error "Can not find the atoms equation" |
|
190 |
| tryeqs (eq::eqs) = (( |
|
191 |
let |
|
192 |
val rhs = eq |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd |
|
193 |
val nths = get_nths rhs [] |
|
194 |
val (vss,ns) = fold_rev (fn (_,(vs,n)) => fn (vss,ns) => |
|
195 |
(insert (op aconv) vs vss, insert (op aconv) n ns)) nths ([],[]) |
|
196 |
val (vsns, ctxt') = Variable.variant_fixes (replicate (length vss) "vs") ctxt |
|
197 |
val (xns, ctxt'') = Variable.variant_fixes (replicate (length nths) "x") ctxt' |
|
198 |
val thy = ProofContext.theory_of ctxt'' |
|
199 |
val cert = cterm_of thy |
|
200 |
val certT = ctyp_of thy |
|
201 |
val vsns_map = vss ~~ vsns |
|
202 |
val xns_map = (fst (split_list nths)) ~~ xns |
|
203 |
val subst = map (fn (nt, xn) => (nt, Var ((xn,0), fastype_of nt))) xns_map |
|
204 |
val rhs_P = subst_free subst rhs |
|
205 |
val (tyenv, tmenv) = Pattern.match |
|
206 |
thy (rhs_P, t) |
|
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moved term order operations to structure TermOrd (cf. Pure/term_ord.ML);
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|
207 |
(Envir.type_env (Envir.empty 0), Vartab.empty) |
23605 | 208 |
val sbst = Envir.subst_vars (tyenv, tmenv) |
209 |
val sbsT = Envir.typ_subst_TVars tyenv |
|
210 |
val subst_ty = map (fn (n,(s,t)) => (certT (TVar (n, s)), certT t)) |
|
211 |
(Vartab.dest tyenv) |
|
212 |
val tml = Vartab.dest tmenv |
|
213 |
val t's = map (fn xn => snd (valOf (AList.lookup (op =) tml (xn,0)))) xns (* FIXME : Express with sbst*) |
|
214 |
val subst_ns = map (fn (Const _ $ vs $ n, Var (xn0,T)) => |
|
215 |
(cert n, snd (valOf (AList.lookup (op =) tml xn0)) |
|
24630
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simplified type int (eliminated IntInf.int, integer);
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|
216 |
|> (index_of #> HOLogic.mk_nat #> cert))) |
23605 | 217 |
subst |
218 |
val subst_vs = |
|
219 |
let |
|
220 |
fun ty (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) = (certT T, certT (sbsT T)) |
|
221 |
fun h (Const _ $ (vs as Var (vsn,lT)) $ n, Var (xn0,T)) = |
|
20564
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Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
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changeset
|
222 |
let |
23605 | 223 |
val cns = sbst (Const("List.list.Cons", T --> lT --> lT)) |
224 |
val lT' = sbsT lT |
|
225 |
val (bsT,asT) = the (AList.lookup Type.could_unify (!bds) lT) |
|
226 |
val vsn = valOf (AList.lookup (op =) vsns_map vs) |
|
227 |
val cvs = cert (fold_rev (fn x => fn xs => cns$x$xs) bsT (Free (vsn, lT'))) |
|
228 |
in (cert vs, cvs) end |
|
229 |
in map h subst end |
|
230 |
val cts = map (fn ((vn,vi),(tT,t)) => (cert(Var ((vn,vi),tT)), cert t)) |
|
231 |
(fold (AList.delete (fn (((a: string),_),(b,_)) => a = b)) |
|
232 |
(map (fn n => (n,0)) xns) tml) |
|
233 |
val substt = |
|
234 |
let val ih = Drule.cterm_rule (Thm.instantiate (subst_ty,[])) |
|
235 |
in map (fn (v,t) => (ih v, ih t)) (subst_ns@subst_vs@cts) end |
|
236 |
val th = (instantiate (subst_ty, substt) eq) RS sym |
|
237 |
in hd (Variable.export ctxt'' ctxt [th]) end) |
|
238 |
handle MATCH => tryeqs eqs) |
|
239 |
in ([], fn _ => tryeqs (filter isat eqs)) |
|
240 |
end; |
|
20374 | 241 |
|
20319 | 242 |
(* Generic reification procedure: *) |
243 |
(* creates all needed cong rules and then just uses the theorem synthesis *) |
|
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
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diff
changeset
|
244 |
|
29834 | 245 |
fun mk_congs ctxt raw_eqs = |
246 |
let |
|
21078 | 247 |
val fs = fold_rev (fn eq => |
20853 | 248 |
insert (op =) (eq |> prop_of |> HOLogic.dest_Trueprop |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
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diff
changeset
|
249 |
|> HOLogic.dest_eq |> fst |> strip_comb |
21078 | 250 |
|> fst)) raw_eqs [] |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
251 |
val tys = fold_rev (fn f => fn ts => (f |> fastype_of |> binder_types |> tl) |
21078 | 252 |
union ts) fs [] |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
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diff
changeset
|
253 |
val _ = bds := AList.make (fn _ => ([],[])) tys |
20797
c1f0bc7e7d80
renamed Variable.invent_fixes to Variable.variant_fixes;
wenzelm
parents:
20595
diff
changeset
|
254 |
val (vs, ctxt') = Variable.variant_fixes (replicate (length tys) "vs") ctxt |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
255 |
val thy = ProofContext.theory_of ctxt' |
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
256 |
val cert = cterm_of thy |
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
257 |
val vstys = map (fn (t,v) => (t,SOME (cert (Free(v,t))))) |
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
258 |
(tys ~~ vs) |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
259 |
val is_Var = can dest_Var |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
260 |
fun insteq eq vs = |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
261 |
let |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
262 |
val subst = map (fn (v as Var(n,t)) => (cert v, (valOf o valOf) (AList.lookup (op =) vstys t))) |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
263 |
(filter is_Var vs) |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
264 |
in Thm.instantiate ([],subst) eq |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
265 |
end |
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
266 |
val eqs = map (fn eq => eq |> prop_of |> HOLogic.dest_Trueprop |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
267 |
|> HOLogic.dest_eq |> fst |> strip_comb |> snd |> tl |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
268 |
|> (insteq eq)) raw_eqs |
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
269 |
val (ps,congs) = split_list (map (mk_congeq ctxt' fs) eqs) |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
270 |
in ps ~~ (Variable.export ctxt' ctxt congs) |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
271 |
end |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
272 |
|
23648
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
273 |
val congs = rearrange (mk_congs ctxt raw_eqs) |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
274 |
val th = divide_and_conquer (decomp_genreif (mk_decompatom raw_eqs) congs) (t,ctxt) |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
275 |
fun is_listVar (Var (_,t)) = can dest_listT t |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
276 |
| is_listVar _ = false |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
277 |
val vars = th |> prop_of |> HOLogic.dest_Trueprop |> HOLogic.dest_eq |> snd |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
278 |
|> strip_comb |> snd |> filter is_listVar |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
279 |
val cert = cterm_of (ProofContext.theory_of ctxt) |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
280 |
val cvs = map (fn (v as Var(n,t)) => (cert v, the (AList.lookup Type.could_unify (!bds) t) |> snd |> HOLogic.mk_list (dest_listT t) |> cert)) vars |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
281 |
val th' = instantiate ([], cvs) th |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
282 |
val t' = (fst o HOLogic.dest_eq o HOLogic.dest_Trueprop o prop_of) th' |
23643
32ee4111d1bc
Corrected erronus use of compiletime context to the runtime context
chaieb
parents:
23624
diff
changeset
|
283 |
val th'' = Goal.prove ctxt [] [] (HOLogic.mk_Trueprop (HOLogic.mk_eq (t, t'))) |
24044 | 284 |
(fn _ => simp_tac (local_simpset_of ctxt) 1) |
20564
6857bd9f1a79
Reifiaction now deals with Interpretations with an arbtrary number of parameters. It deals with binding. The Atomic cases can be I ... = f (xs!n)
chaieb
parents:
20374
diff
changeset
|
285 |
val _ = bds := [] |
23624
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
286 |
in FWD trans [th'',th'] |
82091387f6d7
The order for parameter for interpretation is now inversted:
chaieb
parents:
23605
diff
changeset
|
287 |
end |
20319 | 288 |
|
23648
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
289 |
|
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
290 |
fun genreflect ctxt conv corr_thms raw_eqs t = |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
291 |
let |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
292 |
val reifth = genreif ctxt raw_eqs t |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
293 |
fun trytrans [] = error "No suitable correctness theorem found" |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
294 |
| trytrans (th::ths) = |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
295 |
(FWD trans [reifth, th RS sym] handle THM _ => trytrans ths) |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
296 |
val th = trytrans corr_thms |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
297 |
val ft = (Thm.dest_arg1 o Thm.dest_arg o Thm.dest_arg o cprop_of) th |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
298 |
val rth = conv ft |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
299 |
in simplify (HOL_basic_ss addsimps raw_eqs addsimps [nth_Cons_0, nth_Cons_Suc]) |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
300 |
(simplify (HOL_basic_ss addsimps [rth]) th) |
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
301 |
end |
20319 | 302 |
|
303 |
fun genreify_tac ctxt eqs to i = (fn st => |
|
304 |
let |
|
29805 | 305 |
fun P () = HOLogic.dest_Trueprop (List.nth (prems_of st, i - 1)) |
306 |
val t = (case to of NONE => P () | SOME x => x) |
|
20319 | 307 |
val th = (genreif ctxt eqs t) RS ssubst |
308 |
in rtac th i st |
|
309 |
end); |
|
310 |
||
311 |
(* Reflection calls reification and uses the correctness *) |
|
312 |
(* theorem assumed to be the dead of the list *) |
|
23648
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
313 |
fun gen_reflection_tac ctxt conv corr_thms raw_eqs to i = (fn st => |
21878 | 314 |
let |
315 |
val P = HOLogic.dest_Trueprop (nth (prems_of st) (i - 1)); |
|
316 |
val t = the_default P to; |
|
23648
bccbf6138c30
Try several correctness theorems for reflection; rearrange cong rules to avoid the absoption cases;
chaieb
parents:
23643
diff
changeset
|
317 |
val th = genreflect ctxt conv corr_thms raw_eqs t |
21878 | 318 |
RS ssubst; |
23791 | 319 |
in (rtac th i THEN TRY(rtac TrueI i)) st end); |
21878 | 320 |
|
23791 | 321 |
fun reflection_tac ctxt = gen_reflection_tac ctxt Codegen.evaluation_conv; |
29650 | 322 |
|
20797
c1f0bc7e7d80
renamed Variable.invent_fixes to Variable.variant_fixes;
wenzelm
parents:
20595
diff
changeset
|
323 |
end |