author | krauss |
Sun, 15 Feb 2009 14:02:27 +0100 | |
changeset 29922 | 60a304bc5a07 |
parent 29006 | abe0f11cfa4e |
child 30223 | 24d975352879 |
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 = @{const_name "accp"} |
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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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(* Termination rules *) |
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structure TerminationRule = 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 _ = Thm.merge_thms |
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); |
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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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(* Function definition result data *) |
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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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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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(* contains no logical entities: invariant under morphisms *) |
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add_simps : (string -> string) -> string -> Attrib.src list -> thm list |
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-> local_theory -> thm list * local_theory, |
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case_names : string list, |
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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 (FundefCtxData {add_simps, case_names, fs, R, |
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psimps, pinducts, termination, defname}) phi = |
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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 = Binding.base_name o Morphism.binding phi o Binding.name |
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in |
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FundefCtxData { add_simps = add_simps, case_names = case_names, |
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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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(* 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 $> Morphism.term_morphism term |
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$> 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 (trm, data) = |
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SOME (morph_fundef_data data (inst_morph (Thm.match (cterm_of thy trm, ct)))) |
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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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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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143 |
|
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(* Simp rules for termination proofs *) |
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|
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structure TerminationSimps = NamedThmsFun |
147 |
( |
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val name = "termination_simp" |
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val description = "Simplification rule for termination proofs" |
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); |
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151 |
|
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|
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(* Default Termination Prover *) |
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154 |
|
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structure TerminationProver = GenericDataFun |
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( |
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type T = (Proof.context -> Method.method) |
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val empty = (fn _ => error "Termination prover not configured") |
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val extend = I |
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fun merge _ (a,b) = b (* FIXME *) |
22846 | 161 |
); |
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162 |
|
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val set_termination_prover = TerminationProver.put |
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val get_termination_prover = TerminationProver.get |
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165 |
|
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166 |
|
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1. Function package accepts a parameter (default "some_term"), which specifies the functions
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(* 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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| DomIntros |
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| Tailrec |
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|
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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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domintros: bool, |
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tailrec: bool |
|
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} |
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|
26989 | 183 |
fun apply_opt Sequential (FundefConfig {sequential, default, domintros,tailrec}) = |
184 |
FundefConfig {sequential=true, default=default, domintros=domintros, tailrec=tailrec} |
|
185 |
| apply_opt (Default d) (FundefConfig {sequential, default, domintros,tailrec}) = |
|
186 |
FundefConfig {sequential=sequential, default=d, domintros=domintros, tailrec=tailrec} |
|
187 |
| apply_opt DomIntros (FundefConfig {sequential, default, domintros,tailrec}) = |
|
188 |
FundefConfig {sequential=sequential, default=default, domintros=true,tailrec=tailrec} |
|
189 |
| apply_opt Tailrec (FundefConfig {sequential, default, domintros,tailrec}) = |
|
190 |
FundefConfig {sequential=sequential, default=default, domintros=domintros,tailrec=true} |
|
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191 |
|
26989 | 192 |
val default_config = |
28883 | 193 |
FundefConfig { sequential=false, default="%x. undefined" (*FIXME dynamic scoping*), |
194 |
domintros=false, tailrec=false } |
|
23819 | 195 |
|
196 |
||
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(* Analyzing function equations *) |
23189 | 198 |
|
24170 | 199 |
fun split_def ctxt geq = |
23189 | 200 |
let |
24920 | 201 |
fun input_error msg = cat_lines [msg, Syntax.string_of_term ctxt geq] |
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val qs = Term.strip_qnt_vars "all" geq |
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val imp = Term.strip_qnt_body "all" geq |
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val (gs, eq) = Logic.strip_horn imp |
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|
206 |
val (f_args, rhs) = HOLogic.dest_eq (HOLogic.dest_Trueprop eq) |
|
24170 | 207 |
handle TERM _ => error (input_error "Not an equation") |
23189 | 208 |
|
209 |
val (head, args) = strip_comb f_args |
|
210 |
||
211 |
val fname = fst (dest_Free head) |
|
24170 | 212 |
handle TERM _ => error (input_error "Head symbol must not be a bound variable") |
23189 | 213 |
in |
214 |
(fname, qs, gs, args, rhs) |
|
215 |
end |
|
216 |
||
217 |
exception ArgumentCount of string |
|
218 |
||
219 |
fun mk_arities fqgars = |
|
220 |
let fun f (fname, _, _, args, _) arities = |
|
221 |
let val k = length args |
|
222 |
in |
|
223 |
case Symtab.lookup arities fname of |
|
224 |
NONE => Symtab.update (fname, k) arities |
|
225 |
| SOME i => (if i = k then arities else raise ArgumentCount fname) |
|
226 |
end |
|
227 |
in |
|
228 |
fold f fqgars Symtab.empty |
|
229 |
end |
|
230 |
||
231 |
||
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(* Check for all sorts of errors in the input *) |
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fun check_defs ctxt fixes eqs = |
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let |
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val fnames = map (fst o fst) fixes |
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236 |
|
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fun check geq = |
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238 |
let |
28883 | 239 |
fun input_error msg = error (cat_lines [msg, Syntax.string_of_term ctxt geq]) |
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240 |
|
24170 | 241 |
val fqgar as (fname, qs, gs, args, rhs) = split_def ctxt geq |
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242 |
|
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243 |
val _ = fname mem fnames |
28883 | 244 |
orelse input_error |
245 |
("Head symbol of left hand side must be " |
|
246 |
^ plural "" "one out of " fnames ^ commas_quote fnames) |
|
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247 |
|
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248 |
fun add_bvs t is = add_loose_bnos (t, 0, is) |
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val rvs = (add_bvs rhs [] \\ fold add_bvs args []) |
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250 |
|> map (fst o nth (rev qs)) |
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251 |
|
28883 | 252 |
val _ = null rvs orelse input_error |
253 |
("Variable" ^ plural " " "s " rvs ^ commas_quote rvs |
|
254 |
^ " occur" ^ plural "s" "" rvs ^ " on right hand side only:") |
|
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255 |
|
28883 | 256 |
val _ = forall (not o Term.exists_subterm |
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(fn Free (n, _) => n mem fnames | _ => false)) (gs @ args) |
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258 |
orelse input_error "Defined function may not occur in premises or arguments" |
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Issue a warning, when "function" encounters variables occuring in function position,
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|
259 |
|
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260 |
val freeargs = map (fn t => subst_bounds (rev (map Free qs), t)) args |
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261 |
val funvars = filter (fn q => exists (exists_subterm (fn (Free q') $ _ => q = q' | _ => false)) freeargs) qs |
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|
262 |
val _ = null funvars |
28883 | 263 |
orelse (warning (cat_lines |
264 |
["Bound variable" ^ plural " " "s " funvars |
|
265 |
^ commas_quote (map fst funvars) ^ |
|
266 |
" occur" ^ plural "s" "" funvars ^ " in function position.", |
|
267 |
"Misspelled constructor???"]); true) |
|
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268 |
in |
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|
269 |
fqgar |
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|
270 |
end |
24170 | 271 |
|
28884 | 272 |
val _ = mk_arities (map check eqs) |
273 |
handle ArgumentCount fname => |
|
274 |
error ("Function " ^ quote fname ^ |
|
275 |
" has different numbers of arguments in different equations") |
|
276 |
||
24170 | 277 |
fun check_sorts ((fname, fT), _) = |
278 |
Sorts.of_sort (Sign.classes_of (ProofContext.theory_of ctxt)) (fT, HOLogic.typeS) |
|
28883 | 279 |
orelse error (cat_lines |
280 |
["Type of " ^ quote fname ^ " is not of sort " ^ quote "type" ^ ":", |
|
281 |
setmp show_sorts true (Syntax.string_of_typ ctxt) fT]) |
|
24170 | 282 |
|
283 |
val _ = map check_sorts fixes |
|
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284 |
in |
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|
285 |
() |
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|
286 |
end |
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|
287 |
|
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|
288 |
(* Preprocessors *) |
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|
289 |
|
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|
290 |
type fixes = ((string * typ) * mixfix) list |
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291 |
type 'a spec = ((bstring * Attrib.src list) * 'a list) list |
23819 | 292 |
type preproc = fundef_config -> bool list -> Proof.context -> fixes -> term spec |
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|
293 |
-> (term list * (thm list -> thm spec) * (thm list -> thm list list) * string list) |
23819 | 294 |
|
28883 | 295 |
val fname_of = fst o dest_Free o fst o strip_comb o fst |
296 |
o HOLogic.dest_eq o HOLogic.dest_Trueprop o Logic.strip_imp_concl o snd o dest_all_all |
|
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|
297 |
|
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|
298 |
fun mk_case_names i "" k = mk_case_names i (string_of_int (i + 1)) k |
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|
299 |
| mk_case_names _ n 0 = [] |
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|
300 |
| mk_case_names _ n 1 = [n] |
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|
301 |
| mk_case_names _ n k = map (fn i => n ^ "_" ^ string_of_int i) (1 upto k) |
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|
302 |
|
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|
303 |
fun empty_preproc check _ _ ctxt fixes spec = |
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|
304 |
let |
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|
305 |
val (nas,tss) = split_list spec |
23819 | 306 |
val ts = flat tss |
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|
307 |
val _ = check ctxt fixes ts |
23819 | 308 |
val fnames = map (fst o fst) fixes |
309 |
val indices = map (fn eq => find_index (curry op = (fname_of eq)) fnames) ts |
|
310 |
||
28883 | 311 |
fun sort xs = partition_list (fn i => fn (j,_) => i = j) 0 (length fnames - 1) |
312 |
(indices ~~ xs) |
|
23819 | 313 |
|> map (map snd) |
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|
314 |
|
25361
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|
315 |
(* using theorem names for case name currently disabled *) |
1aa441e48496
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|
316 |
val cnames = map_index (fn (i, (n,_)) => mk_case_names i "" 1) nas |> flat |
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|
317 |
in |
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|
318 |
(ts, curry op ~~ nas o Library.unflat tss, sort, cnames) |
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|
319 |
end |
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|
320 |
|
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structure Preprocessor = GenericDataFun |
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( |
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type T = preproc |
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val empty : T = empty_preproc check_defs |
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val extend = I |
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fun merge _ (a, _) = a |
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); |
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val get_preproc = Preprocessor.get o Context.Proof |
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val set_preproc = Preprocessor.map o K |
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local |
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structure P = OuterParse and K = OuterKeyword |
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val option_parser = |
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P.group "option" ((P.reserved "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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fun config_parser default = |
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(Scan.optional (P.$$$ "(" |-- P.!!! (P.list1 option_parser) --| P.$$$ ")") []) |
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>> (fn opts => fold apply_opt opts default) |
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val otherwise = P.$$$ "(" |-- P.$$$ "otherwise" --| P.$$$ ")" |
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fun pipe_error t = |
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P.!!! (Scan.fail_with (K (cat_lines ["Equations must be separated by " ^ quote "|", quote t]))) |
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val statement_ow = |
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SpecParse.opt_thm_name ":" -- (P.prop -- Scan.optional (otherwise >> K true) false) |
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--| Scan.ahead ((P.term :-- pipe_error) || Scan.succeed ("","")) |
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val statements_ow = P.enum1 "|" statement_ow |
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|
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val flags_statements = statements_ow |
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>> (fn sow => (map (snd o snd) sow, map (apsnd fst) sow)) |
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in |
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fun fundef_parser default_cfg = |
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config_parser default_cfg -- P.fixes --| P.$$$ "where" -- flags_statements |
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end |
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|
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end |
19564
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end |
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