author | wenzelm |
Sun, 03 Jun 2007 23:16:43 +0200 | |
changeset 23215 | 20b5558a5419 |
parent 23206 | 209e32e7c91e |
child 23766 | 77e796fe89eb |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/function_package/fundef_common.ML |
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ID: $Id$ |
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Author: Alexander Krauss, TU Muenchen |
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A package for general recursive function definitions. |
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Common definitions and other infrastructure. |
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*) |
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structure FundefCommon = |
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struct |
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local open FundefLib in |
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(* Profiling *) |
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val profile = ref false; |
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fun PROFILE msg = if !profile then timeap_msg msg else I |
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val acc_const_name = "Accessible_Part.acc" |
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fun mk_acc domT R = |
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Const (acc_const_name, (domT --> domT --> HOLogic.boolT) --> domT --> HOLogic.boolT) $ R |
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val function_name = suffix "C" |
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val graph_name = suffix "_graph" |
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val rel_name = suffix "_rel" |
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val dom_name = suffix "_dom" |
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type depgraph = int IntGraph.T |
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datatype ctx_tree |
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= Leaf of term |
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| Cong of (term * thm * depgraph * ((string * typ) list * thm list * ctx_tree) list) |
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| RCall of (term * ctx_tree) |
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datatype fundef_result = |
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FundefResult of |
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{ |
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fs: term list, |
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G: term, |
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R: term, |
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psimps : thm list, |
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trsimps : thm list option, |
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subset_pinducts : thm list, |
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simple_pinducts : thm list, |
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cases : thm, |
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termination : thm, |
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domintros : thm list option |
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} |
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datatype fundef_context_data = |
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FundefCtxData of |
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{ |
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defname : string, |
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add_simps : string -> Attrib.src list -> thm list -> local_theory -> thm list * local_theory, |
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fs : term list, |
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R : term, |
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psimps: thm list, |
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pinducts: thm list, |
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termination: thm |
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} |
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fun morph_fundef_data phi (FundefCtxData {add_simps, fs, R, psimps, pinducts, termination, defname}) = |
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let |
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val term = Morphism.term phi val thm = Morphism.thm phi val fact = Morphism.fact phi |
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val name = Morphism.name phi |
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in |
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FundefCtxData { add_simps = add_simps (* contains no logical entities *), |
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fs = map term fs, R = term R, psimps = fact psimps, |
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pinducts = fact pinducts, termination = thm termination, |
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defname = name defname } |
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end |
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structure FundefData = GenericDataFun |
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( |
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type T = (term * fundef_context_data) NetRules.T; |
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val empty = NetRules.init |
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(op aconv o pairself fst : (term * fundef_context_data) * (term * fundef_context_data) -> bool) |
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fst; |
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val copy = I; |
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val extend = I; |
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fun merge _ (tab1, tab2) = NetRules.merge (tab1, tab2) |
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); |
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structure FundefCongs = GenericDataFun |
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( |
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type T = thm list |
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val empty = [] |
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val extend = I |
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fun merge _ = Drule.merge_rules |
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); |
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(* Generally useful?? *) |
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fun lift_morphism thy f = |
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let |
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val term = Drule.term_rule thy f |
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in |
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Morphism.thm_morphism f $> Morphism.term_morphism term $> Morphism.typ_morphism (Logic.type_map term) |
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end |
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fun import_fundef_data t ctxt = |
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let |
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val thy = Context.theory_of ctxt |
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val ct = cterm_of thy t |
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val inst_morph = lift_morphism thy o Thm.instantiate |
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fun match data = |
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SOME (morph_fundef_data (inst_morph (Thm.match (cterm_of thy (fst data), ct))) (snd data)) |
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handle Pattern.MATCH => NONE |
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in |
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get_first match (NetRules.retrieve (FundefData.get ctxt) t) |
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end |
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fun import_last_fundef ctxt = |
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case NetRules.rules (FundefData.get ctxt) of |
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[] => NONE |
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| (t, data) :: _ => |
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let |
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val ([t'], ctxt') = Variable.import_terms true [t] (Context.proof_of ctxt) |
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in |
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import_fundef_data t' (Context.Proof ctxt') |
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end |
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val all_fundef_data = NetRules.rules o FundefData.get |
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val map_fundef_congs = FundefCongs.map |
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val get_fundef_congs = FundefCongs.get |
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structure TerminationRule = GenericDataFun |
22846 | 142 |
( |
143 |
type T = thm list |
|
144 |
val empty = [] |
|
145 |
val extend = I |
|
146 |
fun merge _ = Drule.merge_rules |
|
147 |
); |
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val get_termination_rules = TerminationRule.get |
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val store_termination_rule = TerminationRule.map o cons |
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val apply_termination_rule = resolve_tac o get_termination_rules o Context.Proof |
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|
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fun add_fundef_data (data as FundefCtxData {fs, termination, ...}) = |
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FundefData.map (fold (fn f => NetRules.insert (f, data)) fs) |
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#> store_termination_rule termination |
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|
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158 |
(* Configuration management *) |
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datatype fundef_opt |
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= Sequential |
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| Default of string |
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| Target of xstring |
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| DomIntros |
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| Tailrec |
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165 |
|
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datatype fundef_config |
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= FundefConfig of |
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{ |
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sequential: bool, |
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default: string, |
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target: xstring option, |
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domintros: bool, |
173 |
tailrec: bool |
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} |
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fun apply_opt Sequential (FundefConfig {sequential, default, target, domintros,tailrec}) = |
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FundefConfig {sequential=true, default=default, target=target, domintros=domintros, tailrec=tailrec} |
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| apply_opt (Default d) (FundefConfig {sequential, default, target, domintros,tailrec}) = |
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FundefConfig {sequential=sequential, default=d, target=target, domintros=domintros, tailrec=tailrec} |
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| apply_opt (Target t) (FundefConfig {sequential, default, target, domintros,tailrec}) = |
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FundefConfig {sequential=sequential, default=default, target=SOME t, domintros=domintros, tailrec=tailrec} |
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| apply_opt DomIntros (FundefConfig {sequential, default, target, domintros,tailrec}) = |
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FundefConfig {sequential=sequential, default=default, target=target, domintros=true,tailrec=tailrec} |
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| apply_opt Tailrec (FundefConfig {sequential, default, target, domintros,tailrec}) = |
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FundefConfig {sequential=sequential, default=default, target=target, domintros=domintros,tailrec=true} |
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|
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fun target_of (FundefConfig {target, ...}) = target |
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188 |
|
23189 | 189 |
(* Common operations on equations *) |
190 |
||
191 |
fun open_all_all (Const ("all", _) $ Abs (n, T, b)) = apfst (cons (n, T)) (open_all_all b) |
|
192 |
| open_all_all t = ([], t) |
|
193 |
||
194 |
exception MalformedEquation of term |
|
195 |
||
196 |
fun split_def geq = |
|
197 |
let |
|
198 |
val (qs, imp) = open_all_all geq |
|
199 |
||
200 |
val gs = Logic.strip_imp_prems imp |
|
201 |
val eq = Logic.strip_imp_concl imp |
|
202 |
||
203 |
val (f_args, rhs) = HOLogic.dest_eq (HOLogic.dest_Trueprop eq) |
|
204 |
handle TERM _ => raise MalformedEquation geq |
|
205 |
||
206 |
val (head, args) = strip_comb f_args |
|
207 |
||
208 |
val fname = fst (dest_Free head) |
|
209 |
handle TERM _ => raise MalformedEquation geq |
|
210 |
in |
|
211 |
(fname, qs, gs, args, rhs) |
|
212 |
end |
|
213 |
||
214 |
exception ArgumentCount of string |
|
215 |
||
216 |
fun mk_arities fqgars = |
|
217 |
let fun f (fname, _, _, args, _) arities = |
|
218 |
let val k = length args |
|
219 |
in |
|
220 |
case Symtab.lookup arities fname of |
|
221 |
NONE => Symtab.update (fname, k) arities |
|
222 |
| SOME i => (if i = k then arities else raise ArgumentCount fname) |
|
223 |
end |
|
224 |
in |
|
225 |
fold f fqgars Symtab.empty |
|
226 |
end |
|
227 |
||
228 |
||
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(* Check for all sorts of errors in the input *) |
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230 |
fun check_defs ctxt fixes eqs = |
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231 |
let |
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232 |
val fnames = map (fst o fst) fixes |
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233 |
|
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|
234 |
fun check geq = |
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235 |
let |
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|
236 |
fun input_error msg = cat_lines [msg, ProofContext.string_of_term ctxt geq] |
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237 |
|
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|
238 |
val fqgar as (fname, qs, gs, args, rhs) = split_def geq |
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|
239 |
|
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|
240 |
val _ = fname mem fnames |
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|
241 |
orelse error (input_error ("Head symbol of left hand side must be " ^ plural "" "one out of " fnames |
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242 |
^ commas_quote fnames)) |
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243 |
|
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244 |
fun add_bvs t is = add_loose_bnos (t, 0, is) |
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245 |
val rvs = (add_bvs rhs [] \\ fold add_bvs args []) |
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246 |
|> map (fst o nth (rev qs)) |
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247 |
|
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248 |
val _ = null rvs orelse error (input_error ("Variable" ^ plural " " "s " rvs ^ commas_quote rvs |
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^ " occur" ^ plural "s" "" rvs ^ " on right hand side only:")) |
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250 |
|
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|
251 |
val _ = forall (FundefLib.forall_aterms (fn Free (n, _) => not (n mem fnames) | _ => true)) gs |
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252 |
orelse error (input_error "Recursive Calls not allowed in premises") |
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253 |
in |
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|
254 |
fqgar |
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|
255 |
end |
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|
256 |
|
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|
257 |
val _ = mk_arities (map check eqs) |
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|
258 |
handle ArgumentCount fname => |
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|
259 |
error ("Function " ^ quote fname ^ " has different numbers of arguments in different equations") |
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|
260 |
in |
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|
261 |
() |
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|
262 |
end |
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|
263 |
|
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|
264 |
(* Preprocessors *) |
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|
265 |
|
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|
266 |
type fixes = ((string * typ) * mixfix) list |
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267 |
type 'a spec = ((bstring * Attrib.src list) * 'a list) list |
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268 |
type preproc = fundef_config -> bool list -> Proof.context -> fixes -> term spec -> (term list * (thm list -> thm spec)) |
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269 |
|
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|
270 |
fun empty_preproc check _ _ ctxt fixes spec = |
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271 |
let |
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272 |
val (nas,tss) = split_list spec |
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273 |
val _ = check ctxt fixes (flat tss) |
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274 |
in |
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|
275 |
(flat tss, curry op ~~ nas o Library.unflat tss) |
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|
276 |
end |
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277 |
|
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|
278 |
structure Preprocessor = GenericDataFun |
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|
279 |
( |
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|
280 |
type T = preproc |
23206 | 281 |
val empty : T = empty_preproc check_defs |
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282 |
val extend = I |
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|
283 |
fun merge _ (a, _) = a |
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284 |
); |
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|
285 |
|
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|
286 |
val get_preproc = Preprocessor.get o Context.Proof |
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|
287 |
val set_preproc = Preprocessor.map o K |
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288 |
|
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289 |
|
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local |
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structure P = OuterParse and K = OuterKeyword |
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val opt_sequential = Scan.optional ((P.$$$ "(" |-- P.$$$ "sequential" --| P.$$$ ")") >> K true) false |
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val option_parser = (P.$$$ "sequential" >> K Sequential) |
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|| ((P.reserved "default" |-- P.term) >> Default) |
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|| (P.reserved "domintros" >> K DomIntros) |
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|| (P.reserved "tailrec" >> K Tailrec) |
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|| ((P.$$$ "in" |-- P.xname) >> Target) |
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fun config_parser default = (Scan.optional (P.$$$ "(" |-- P.!!! (P.list1 (P.group "option" option_parser)) --| P.$$$ ")") []) |
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>> (fn opts => fold apply_opt opts default) |
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val otherwise = P.$$$ "(" |-- P.$$$ "otherwise" --| P.$$$ ")" |
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fun pipe_error t = P.!!! (Scan.fail_with (K (cat_lines ["Equations must be separated by " ^ quote "|", quote t]))) |
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val statement_ow = SpecParse.opt_thm_name ":" -- (P.prop -- Scan.optional (otherwise >> K true) false) |
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--| Scan.ahead ((P.term :-- pipe_error) || Scan.succeed ("","")) |
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val statements_ow = P.enum1 "|" statement_ow |
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val flags_statements = statements_ow |
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>> (fn sow => (map (snd o snd) sow, map (apsnd fst) sow)) |
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fun basic_apply_flags ((config, fixes), (flags, statements)) = ((config, fixes), statements) |
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in |
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fun fundef_parser default_cfg = (config_parser default_cfg -- P.fixes --| P.$$$ "where" -- flags_statements) |
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end |
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val default_config = FundefConfig { sequential=false, default="%x. arbitrary", |
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target=NONE, domintros=false, tailrec=false } |
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||
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end |
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end |
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(* Common Abbreviations *) |
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structure FundefAbbrev = |
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struct |
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fun implies_elim_swp x y = implies_elim y x |
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(* HOL abbreviations *) |
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val boolT = HOLogic.boolT |
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val mk_prod = HOLogic.mk_prod |
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val mk_eq = HOLogic.mk_eq |
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Major update to function package, including new syntax and the (only theoretical)
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val eq_const = HOLogic.eq_const |
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val Trueprop = HOLogic.mk_Trueprop |
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val mk_relT = HOLogic.mk_setT o HOLogic.mk_prodT |
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fun free_to_var (Free (v,T)) = Var ((v,0),T) |
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| free_to_var _ = raise Match |
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fun var_to_free (Var ((v,_),T)) = Free (v,T) |
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| var_to_free _ = raise Match |
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end |