1 (* elements of calculations.
2 they are partially held in association lists as ref's for
3 switching language levels (meta-string, object-values).
4 in order to keep these ref's during re-evaluation of code,
5 they are defined here at the beginning of the code.
6 Author: Walther Neuper 2003
7 (c) copyright due to lincense terms
10 signature CALC_ELEMENT =
12 type eval_fn (*= string -> term -> theory -> (string * term) option*)
13 type rew_ord (*= rew_ord' * rew_ord_*)
15 type calc (*= prog_calcID * cal*)
16 datatype rule = Cal1 of string * eval_fn | Calc of string * eval_fn | Erule | Rls_ of rls
22 {attach_form: rule list list -> term -> term -> (rule * (term * term list)) list,
23 init_state: term -> term * term * rule list list * (rule * (term * term list)) list,
24 locate_rule: rule list list -> term -> rule -> (rule * (term * term list)) list,
25 next_rule: rule list list -> term -> rule option,
26 normal_form: term -> (term * term list) option}
29 | Rls of {calc: calc list, erls: rls, errpatts: errpatID list, id: string, preconds: term list,
30 rew_ord: rew_ord, rules: rule list, scr: scr, srls: rls}
31 | Rrls of {calc: calc list, erls: rls, errpatts: errpatID list,
32 id: string, prepat: (term list * term) list, rew_ord: rew_ord, scr: scr}
33 | Seq of {calc: calc list, erls: rls, errpatts: errpatID list, id: string, preconds: term list,
34 rew_ord: rew_ord, rules: rule list, scr: scr, srls: rls}
40 type cas_elem (*= term * (spec * generate_fn)*)
41 type pbt (*= {cas: term option, guh: guh, init: pblID, mathauthors: string list,
42 met: metID list, ppc: pat list, prls: rls, thy: theory, where_: term list}*)
43 type ptyps (*= pbt ptyp list*)
44 type metID (*= string list*)
45 type pblID (*= string list*)
46 type mets (*= met ptyp list*)
47 type met (*= {calc: calc list,
48 crls: rls, erls: rls, errpats: errpat list, guh: guh, init: pblID, mathauthors: string list,
49 nrls: rls, ppc: pat list, pre: term list, prls: rls, rew_ord': rew_ord', scr: scr, srls: rls}*)
50 datatype 'a ptyp = Ptyp of string * 'a list * 'a ptyp list
52 type cal = calID * eval_fn
53 type authors (*= string list*)
55 type subst (*= (term * term) list*)
57 type fillpat (*= fillpatID * term * errpatID*)
59 = Hcal of {calc: calc, coursedesign: authors, guh: guh, mathauthors: authors}
60 | Hord of {coursedesign: authors, guh: guh, mathauthors: authors, ord: subst -> term * term -> bool}
61 | Hrls of {coursedesign: authors, guh: guh, mathauthors: authors, thy_rls: thyID * rls}
62 | Hthm of {coursedesign: authors, fillpats: fillpat list, guh: guh, mathauthors: authors, thm: thm}
63 | Html of {coursedesign: authors, guh: guh, html: string, mathauthors: authors}
64 type theID (*= string list*)
65 type rlss_elem (*= rls' * (theory' * rls)*)
66 val merge_rlss: rlss_elem list * rlss_elem list -> rlss_elem list
67 val rls_eq: (''a * ('b * 'c)) * (''a * ('d * 'e)) -> bool
68 type calc_elem (*= prog_calcID * (calID * eval_fn)*)
69 val calc_eq: calc_elem * calc_elem -> bool
70 type spec (*= domID * pblID * metID*)
71 val cas_eq: cas_elem * cas_elem -> bool
73 val merge_ptyps: 'a ptyp list * 'a ptyp list -> 'a ptyp list
74 val check_guhs_unique: bool Unsynchronized.ref
75 val check_pblguh_unique: guh -> pbt ptyp list -> unit
76 val insrt: pblID -> 'a -> string list -> 'a ptyp list -> 'a ptyp list
78 val check_metguh_unique: guh -> met ptyp list -> unit
79 val add_thydata: string list * string list -> thydata -> thydata ptyp list -> thydata ptyp list
80 val get_py: 'a ptyp list -> pblID -> string list -> 'a
81 val update_hthm: thydata -> fillpat list -> thydata
82 val update_ptyps: string list -> string list -> 'a -> 'a ptyp list -> 'a ptyp list
85 val part2guh: theID -> guh
86 val spec2str: string * string list * string list -> string
87 val term_to_string''': theory -> term -> string
88 val linefeed: string -> string
89 val pbts2str: pbt list -> string
90 val thes2str: thydata list -> string
91 val theID2str: string list -> string
92 val the2str: thydata -> string
93 val Thy_Info_get_theory: string -> theory
94 val string_of_typ: typ -> string
95 val string_of_typ_thy: thyID -> typ -> string
96 val term2str: term -> string
97 val thy2ctxt: theory -> Proof.context
98 val trace_calc: bool Unsynchronized.ref
100 type thm' (*= thmID * cterm'*)
101 datatype lrd = D | L | R
102 val trace_rewrite: bool Unsynchronized.ref
103 val depth: int Unsynchronized.ref
104 val t2str: theory -> term -> string
105 val ts2str: theory -> term list -> string
106 val terms2str: term list -> string
107 val id_rls: rls -> string
108 val rls2str: rls -> string
109 val rep_rls: rls -> {calc: calc list, erls: rls, id: string, preconds: term list, rew_ord: rew_ord, rules: rule list, scr: scr, srls: rls}
110 val string_of_thmI: thm -> string
111 val rule2str: rule -> string
113 val dummy_ord: subst -> term * term -> bool
114 val theory2domID: theory -> theory'
115 val assoc_thy: theory' -> theory
116 val append_rls: string -> rls -> rule list -> rls
118 val get_rules: rls -> rule list
119 val id_rule: rule -> string
121 val term_to_string': Proof.context -> term -> string
122 val thy2ctxt': string -> Proof.context
123 type rrlsstate = term * term * rule list list * (rule * (term * term list)) list
124 type loc_ (*= lrd list*)
125 val loc_2str: loc_ -> string
127 val env2str: subst -> string
128 val subst2str: subst -> string
129 val termopt2str: term option -> string
131 type thm'' (*= thmID * thm*)
132 type rew_ord_ (*= subst -> term * term -> bool*)
133 val metID2str: string list -> string
138 datatype ketype = Exp_ | Met_ | Pbl_ | Thy_
139 type kestoreID (*= string list*)
140 type errpat (*= errpatID * term list * thm list*)
141 val app_py: 'a ptyp list -> ('a ptyp -> 'b) -> pblID -> string list -> 'b
142 val ketype2str: ketype -> string
143 val coll_pblguhs: pbt ptyp list -> guh list
144 val coll_metguhs: met ptyp list -> guh list
145 type pat (*= string * (term * term)*)
147 val theory2str: theory -> theory'
148 val pats2str: pat list -> string
149 val string_of_thy: theory -> theory'
150 val theory2theory': theory -> theory'
151 val maxthy: theory -> theory -> theory
152 val e_evalfn: 'a -> term -> theory -> (string * term) option
153 val assoc_rew_ord: string -> subst -> term * term -> bool
155 val rule2str': rule -> string
156 val lim_deriv: int Unsynchronized.ref
157 val id_of_thm: rule -> string
158 val isabthys: unit -> theory list
159 val thyID_of_derivation_name: string -> string
160 val partID': theory' -> string
161 val Isac: 'a -> theory
162 val theory'2thyID: theory' -> theory'
163 val thm2guh: string * thyID -> thmID -> guh
164 val thmID_of_derivation_name: string -> string
165 val rls2guh: string * thyID -> rls' -> guh
166 val eq_rule: rule * rule -> bool
167 val e_rew_ordX: rew_ord
168 val theID2guh: theID -> guh
169 val thyID2theory': thyID -> thyID
171 val scr2str: scr -> string
172 val type2str: typ -> string
174 type pbt_ = string * (term * term)
175 val e_rew_ord: subst -> term * term -> bool
177 val cal2guh: string * thyID -> string -> guh
178 val ketype2str': ketype -> string
179 val str2ketype': string -> ketype
180 val thmID_of_derivation_name': thm -> string
181 val subst2str': subst -> string
183 val theID2thyID: theID -> thyID
184 val thy2guh: theID -> guh
185 val theory2thyID: theory -> thyID
186 val thypart2guh: theID -> guh
187 val ord2guh: string * thyID -> rew_ord' -> guh
188 val update_hrls: thydata -> errpatID list -> thydata
191 val thm''_of_thm: thm -> thm''
192 val rew_ord': (rew_ord' * (subst -> term * term -> bool)) list Unsynchronized.ref
193 val merge_rls: string -> rls -> rls -> rls
194 val e_rrlsstate: rrlsstate
195 val thm_of_thm: rule -> thm
196 val remove_rls: string -> rls -> rule list -> rls
198 (*---------------------- ^^^ make public on a minimalist way down to Build?Isac -----------------
199 val Html_default: theID -> thydata
202 val assoc': (string * 'a) list * string -> 'a option
203 type generate_fn = term list -> (term * term list) list
205 val e_kestoreID: string list
209 val e_rew_ord': rew_ord'
210 val e_rew_ord_: subst -> term * term -> bool
213 val e_subst: (term * term) list
214 val e_theID: string list
215 val e_thydata: thydata
216 val empty_cterm': string
217 val eq_thmI: (thmID * thm) * (thmID * 'a) -> bool
218 val eq_thmI': (string * 'a) * (string * 'b) -> bool
219 val eqrule: rule * rule -> bool
220 val fill_parents: string list * string list -> thydata -> thydata ptyp
221 val insert_fillpats: thydata ptyp list -> (pblID * fillpat list) list -> thydata ptyp list -> thydata ptyp list
222 val insert_merge_rls: rlss_elem -> rlss_elem list -> rlss_elem list
223 val insthy: 'a -> 'b * 'c -> 'b * ('a * 'c)
224 val kestoreID2str: string list -> string
225 val knowthys: unit -> theory list
226 val ldr2str: lrd -> string
227 val lim_rewrite: int Unsynchronized.ref
228 val memrls: rule -> rls -> bool
229 val merge_ids: rls -> rls -> string
230 val merge_ptyps': 'a ptyp list -> 'a ptyp list -> 'a ptyp list
231 val overwritelthy: theory -> (rls' * (string * rls)) list * (rls' * rls) list -> (rls' * (string * rls)) list
232 val partID: theory -> string
233 val pat2str: pat -> string
234 val pblID2str: string list -> string
235 val pbt2str: pbt -> string
236 val progthys: unit -> theory list
238 rls -> {attach_form: rule list list -> term -> term -> (rule * (term * term list)) list,
241 errpatts: errpatID list,
243 init_state: term -> term * term * rule list list * (rule * (term * term list)) list,
244 locate_rule: rule list list -> term -> rule -> (rule * (term * term list)) list,
245 next_rule: rule list list -> term -> rule option, normal_form: term -> (term * term list) option, prepat: (term list * term) list, rew_ord: rew_ord}
246 val rep_thm_G': rule -> string * thm
247 val str2ketype: string -> ketype
248 val string_of_thm: thm -> string
249 val string_of_thm': theory -> thm -> string
250 val string_to_bool: string -> bool
251 type subs' = (cterm' * cterm') list
252 val term_to_string'': thyID -> term -> string
253 val terms2str': term list -> string
254 type thehier = thydata ptyp list
255 val theory2str': theory -> string
256 val thm2str: thm -> string
258 val thy2ctxt: theory -> Proof.context
259 val type_to_string': Proof.context -> typ -> string
260 val type_to_string'': thyID -> typ -> string
261 val type_to_string''': theory -> typ -> string
262 ----------------------------------------- ^^^ make public -----------------------------------*)
263 (* ---- for tests only: shifted from below to remove the Warning "unused" at fun.def. --------- *)
265 (*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )
266 val terms2strs: term list -> string list
267 ( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)
271 structure Celem(**): CALC_ELEMENT(**) =
275 val linefeed = (curry op^) "\n";
276 type authors = string list;
278 type cterm' = string;
279 val empty_cterm' = "empty_cterm'";
283 Thm (string, thm): (a) needs string to identify sym_thmID for handling in front-end;
284 (b) investigate if ""RS sym" attaches a [.]" still occurs: string_of_thmI
285 thmID : type for data from user input + program
286 thmDeriv : type for thy_hierarchy ONLY
287 obsolete types : thm' (SEE "ad thm'"), thm''.
288 revise funs : id_of_thm, thm_of_thm, rep_thm_G', eq_thmI, eq_thmI', thm''_of_thm thm.
289 activate : thmID_of_derivation_name'
294 type thmID = string; (* identifier for a thm (the shortest possible identifier) *)
295 type thmDeriv = string; (* WN120524 deprecated
296 thyID ^"."^ xxx ^"."^ thmID, see fun thmID_of_derivation_name
297 WN120524: dont use Thm.derivation_name, this is destroyed by num_str;
298 Thm.get_name_hint survives num_str and seems perfectly reliable *)
300 type thm' = thmID * cterm';(*WN060610 deprecated in favour of thm''*)
301 (* tricky combination of (string, term) for theorems in Isac:
302 * case 1 general: frontend + lucin, e.g. applicable_in..Rewrite: (thmID, _) --> (thmID, thm)
303 by Global_Theory.get_thm, special cases ("add_commute",..) see convert_metaview_to_thmid.
304 * case 2 "sym_..": Global_Theory.get_thm..RS sym
305 * case 3 ad-hoc thm "#..." mk_thm from ad-hoc term (numerals only) in calculate_:
306 from applicable_in..Calculate: opstr --calculate_/adhoc_thm--> (thmID, thm)
308 type thm'' = thmID * thm; (* only for transport via libisabelle isac-java <--- ME *)
311 (*.a 'guh'='globally unique handle' is a string unique for each element
312 of isac's KEStore and persistent over time
313 (in particular under shifts within the respective hierarchy);
315 # guh NOT resistant agains shifts from one thy to another
316 (which is the price for Isabelle's design: thy's overwrite ids of subthy's)
317 # requirement for matchTheory: induce guh from tac + current thy
318 (see 'fun thy_containing_thm', 'fun thy_containing_rls' etc.)
319 TODO: introduce to pbl, met.*)
321 val e_guh = "e_guh":guh;
323 type xml = string; (* rm together with old code replaced by XML.tree *)
324 fun string_to_bool "true" = true
325 | string_to_bool "false" = false
326 | string_to_bool str = error ("string_to_bool: arg = " ^ str)
328 (* eval function calling sml code during rewriting.
329 Unifying "type cal" and "type calc" would make Lucas-Interpretation more efficient,
330 see "fun rule2stac": instead of
331 Calc: calID * eval_fn -> rule
333 Calc: prog_calcID * (calID * eval_fn)) -> rule*)
334 type eval_fn = (string -> term -> theory -> (string * term) option);
335 fun e_evalfn (_:'a) (_:term) (_:theory) = NONE:(string * term) option;
336 (*. op in isa-term 'Const(op,_)' .*)
340 type cal = (calID * eval_fn);
341 (*. fun calculate_ fetches the evaluation-function via this list. *)
342 type prog_calcID = string;
343 type calc = (prog_calcID * cal);
345 prog_calcID * (* a simple identifier used in programs *)
346 (calID * (* a long identifier used in Const *)
347 eval_fn) (* an ML function *)
348 fun calc_eq ((pi1, (ci1, _)) : calc_elem, (pi2, (ci2, _)) : calc_elem) =
350 then if ci1 = ci2 then true else error ("calc_eq: " ^ ci1 ^ " <> " ^ ci2)
354 type subs' = (cterm' * cterm') list; (*16.11.00 for FE-KE*)
355 type subst = (term * term) list; (*here for ets2str*)
356 val e_subst = []:(term * term) list;
358 (*TODO.WN060610 make use of "type rew_ord" total*)
359 type rew_ord' = string;
360 val e_rew_ord' = "e_rew_ord" : rew_ord';
361 type rew_ord_ = subst -> Term.term * Term.term -> bool;
362 fun dummy_ord (_:subst) (_:term,_:term) = true;
363 val e_rew_ord_ = dummy_ord;
364 type rew_ord = rew_ord' * rew_ord_;
365 val e_rew_ord = dummy_ord; (* TODO.WN071231 clarify identifiers..e_rew_ordX*)
366 val e_rew_ordX = (e_rew_ord', e_rew_ord_) : rew_ord;
368 (* error patterns and fill patterns *)
369 type errpatID = string
371 errpatID (* one identifier for a list of patterns
372 DESIGN ?TODO: errpatID list for hierarchy of errpats ? *)
373 * term list (* error patterns *)
374 * thm list (* thms related to error patterns; note that respective lhs
375 do not match (which reflects student's error).
376 fillpatterns are stored with these thms. *)
378 (* for (at least) 2 kinds of access:
379 (1) given an errpatID, find the respective fillpats (e.g. in fun find_fill_pats)
380 (2) given a thm, find respective fillpats *)
381 type fillpatID = string
383 fillpatID (* DESIGN ?TODO: give an order w.r.t difficulty ? *)
384 * term (* the pattern with fill-in gaps *)
385 * errpatID; (* which the fillpat would be a help for
386 DESIGN ?TODO: list for several patterns ? *)
389 Erule (*.the empty rule .*)
390 | Thm of (string * Basic_Thm.thm) (* see TODO CLEANUP Thm *)
391 | Calc of string * (*.sml-code manipulating a (sub)term .*)
393 | Cal1 of string * (*.sml-code applied only to whole term
394 or left/right-hand-side of eqality .*)
396 | Rls_ of rls (*.ie. rule sets may be nested.*)
399 | Prog of term (* a leaf is either a tactic or an 'exp' in 'let v = expr'
400 where 'exp' does not contain a tactic. *)
401 | Rfuns of (* for Rrls, usage see rational.sml ----- reverse rewrite ----- *)
402 {init_state : (* initialise for reverse rewriting by the Interpreter *)
403 term -> (* for this the rrlsstate is initialised: *)
404 term * (* the current formula: goes locate_gen -> next_tac via istate *)
405 term * (* the final formula *)
406 rule list (* of reverse rewrite set (#1#) *)
407 list * (* may be serveral, eg. in norm_rational *)
408 ( rule * (* Thm (+ Thm generated from Calc) resulting in ... *)
409 (term * (* ... rewrite with ... *)
410 term list)) (* ... assumptions *)
411 list, (* derivation from given term to normalform
412 in reverse order with sym_thm;
413 (#1#) could be extracted from here #1 *)
414 normal_form: (* the function which drives the Rrls ##############################*)
415 term -> (term * term list) option,
416 locate_rule: (* checks a rule R for being a cancel-rule, and if it is,
417 then return the list of rules (+ the terms they are rewriting to)
418 which need to be applied before R should be applied.
419 precondition: the rule is applicable to the argument-term. *)
420 rule list list -> (* the reverse rule list *)
421 term -> (* ... to which the rule shall be applied *)
422 rule -> (* ... to be applied to term *)
423 ( rule * (* value: a rule rewriting to ... *)
424 (term * (* ... the resulting term ... *)
425 term list)) (* ... with the assumptions ( //#0) *)
426 list, (* there may be several such rules; the list is empty,
427 if the rule has nothing to do with e.g. cancelation *)
428 next_rule: (* for a given term return the next rules to be done for cancelling *)
429 rule list list->(* the reverse rule list *)
430 term -> (* the term for which ... *)
431 rule option, (* ... this rule is appropriate for cancellation;
432 there may be no such rule (if the term is eg.canceled already*)
433 attach_form: (* checks an input term TI, if it may belong to e.g. a current
434 cancellation, by trying to derive it from the given term TG.
437 term -> (* TG, the last one agreed upon by user + math-eng *)
438 term -> (* TI, the next one input by the user *)
439 ( rule * (* the rule to be applied in order to reach TI *)
440 (term * (* ... obtained by applying the rule ... *)
441 term list)) (* ... and the respective assumptions *)
442 list} (* there may be several such rules; the list is empty, if the
443 users term does not belong to e.g. a cancellation of the term
446 Erls (*for init e_rls*)
448 | Rls of (*a confluent and terminating ruleset, in general *)
449 {id : string, (*for trace_rewrite:=true *)
450 preconds : term list, (*unused WN020820 *)
451 (*WN060616 for efficiency...
452 bdvs : false, (*set in prep_rls' for get_bdvs *)*)
453 rew_ord : rew_ord, (*for rules*)
454 erls : rls, (*for the conditions in rules *)
455 srls : rls, (*for evaluation of list_fns in script *)
456 calc : calc list, (*for Calculate in scr, set by prep_rls' *)
458 errpatts : errpatID list,(*dialog-authoring in Build_Thydata.thy*)
459 scr : scr} (*Prog term: generating intermed.steps *)
460 | Seq of (*a sequence of rules to be tried only once *)
461 {id : string, (*for trace_rewrite:=true *)
462 preconds : term list, (*unused 20.8.02 *)
463 (*WN060616 for efficiency...
464 bdvs : false, (*set in prep_rls' for get_bdvs *)*)
465 rew_ord : rew_ord, (*for rules *)
466 erls : rls, (*for the conditions in rules *)
467 srls : rls, (*for evaluation of list_fns in script *)
468 calc : calc list, (*for Calculate in scr, set by prep_rls' *)
470 errpatts : errpatID list,(*dialog-authoring in Build_Thydata.thy*)
471 scr : scr} (*Prog term (how to restrict type ???)*)
473 (*Rrls call SML-code and simulate an rls
474 difference: there is always _ONE_ redex rewritten in 1 call,
475 thus wrap Rrls by: Rls (Rls_ ...)*)
476 | Rrls of (* SML-functions within rewriting; step-wise execution provided;
478 difference: there is always _ONE_ redex rewritten in 1 call,
479 thus wrap Rrls by: Rls (Rls_ ...) *)
480 {id : string, (* for trace_rewrite := true *)
481 prepat : (term list *(* preconds, eval with subst from pattern;
482 if [@{term True}], match decides alone *)
483 term ) (* pattern matched with current (sub)term *)
484 list, (* meta-conjunction is or *)
485 rew_ord : rew_ord, (* for rules *)
486 erls : rls, (* for the conditions in rules and preconds *)
487 calc : calc list, (* for Calculate in scr, set automatic.in prep_rls' *)
488 errpatts : errpatID list,(*dialog-authoring in Build_Thydata.thy*)
489 scr : scr}; (* Rfuns {...} (how to restrict type ???) *)
492 there are two kinds of theorems ...
493 (1) known by isabelle
494 (2) not known, eg. calc_thm, instantiated rls
495 the latter have a thmid "#..."
496 and thus outside isa we ALWAYS transport both (thmID, string_of_thmI)
497 and have a special assoc_thm / assoc_rls in this interface *)
498 type theory' = string; (* = domID ^".thy" WN.101011 ABOLISH !*)
499 type domID = string; (* domID ^".thy" = theory' WN.101011 replace by thyID*)
500 type thyID = string; (*WN.3.11.03 TODO: replace domID with thyID*)
502 (* Since Isabelle2017 sessions in theory identifiers are enforced.
503 However, we leave theory identifiers short, in particular in use as keys into KEStore. *)
504 fun Thy_Info_get_theory thyID = Thy_Info.get_theory ("Isac." ^ thyID)
508 val t = Thm.prop_of thm
509 val ctxt = Proof_Context.init_global (Thy_Info.get_theory ("Isac.Isac"))
510 val ctxt' = Config.put show_markup false ctxt
511 in Print_Mode.setmp [] (Syntax.string_of_term ctxt') t end;
513 fun term_to_string' ctxt t =
515 val ctxt' = Config.put show_markup false ctxt
516 in Print_Mode.setmp [] (Syntax.string_of_term ctxt') t end;
517 fun term_to_string'' (thyID : thyID) t =
519 val ctxt' = Config.put show_markup false (Proof_Context.init_global (Thy_Info_get_theory thyID))
520 in Print_Mode.setmp [] (Syntax.string_of_term ctxt') t end;
521 fun term_to_string''' thy t =
523 val ctxt' = Config.put show_markup false (Proof_Context.init_global thy)
524 in Print_Mode.setmp [] (Syntax.string_of_term ctxt') t end;
526 fun thy2ctxt' thy' = Proof_Context.init_global (Thy_Info_get_theory thy');(*FIXXXME thy-ctxt*)
527 fun thy2ctxt thy = Proof_Context.init_global thy;(*FIXXXME thy-ctxt*)
529 fun term2str t = term_to_string' (thy2ctxt' "Isac") t;
530 fun t2str thy t = term_to_string' (thy2ctxt thy) t;
531 fun ts2str thy ts = ts |> map (t2str thy) |> strs2str';
532 fun terms2strs ts = map term2str ts;
533 (*terms2strs [t1,t2] = ["1 + 2", "abc"];*)
534 val terms2str = strs2str o terms2strs;
535 (*terms2str [t1,t2] = "[\"1 + 2\",\"abc\"]";*)
536 val terms2str' = strs2str' o terms2strs;
537 (*terms2str' [t1,t2] = "[1 + 2,abc]";*)
540 fun termopt2str (SOME t) = "(SOME " ^ term2str t ^ ")"
541 | termopt2str NONE = "NONE";
543 fun type_to_string' ctxt t =
545 val ctxt' = Config.put show_markup false ctxt
546 in Print_Mode.setmp [] (Syntax.string_of_typ ctxt') t end;
547 fun type_to_string'' (thyID : thyID) t =
549 val ctxt' = Config.put show_markup false (Proof_Context.init_global (Thy_Info_get_theory thyID))
550 in Print_Mode.setmp [] (Syntax.string_of_typ ctxt') t end;
551 fun type_to_string''' thy t =
553 val ctxt' = Config.put show_markup false (Proof_Context.init_global thy)
554 in Print_Mode.setmp [] (Syntax.string_of_typ ctxt') t end;
556 fun type2str typ = type_to_string'' "Isac" typ; (*legacy*)
557 val string_of_typ = type2str; (*legacy*)
558 fun string_of_typ_thy thy typ = type_to_string'' thy typ; (*legacy*)
560 fun Isac _ = Proof_Context.theory_of (thy2ctxt' "Isac"); (*@{theory "Isac"}*)
562 val e_rule = Thm ("refl", @{thm refl});
563 fun id_of_thm (Thm (id, _)) = id (* TODO re-arrange code for rule2str *)
564 | id_of_thm _ = raise ERROR ("id_of_thm: uncovered case " (* ^ rule2str r *))
565 fun thm_of_thm (Thm (_, thm)) = thm (* TODO re-arrange code for rule2str *)
566 | thm_of_thm _ = raise ERROR ("thm_of_thm: uncovered case " (* ^ rule2str r *))
567 fun rep_thm_G' (Thm (thmid, thm)) = (thmid, thm) (* TODO re-arrange code for rule2str *)
568 | rep_thm_G' _ = raise ERROR ("rep_thm_G': uncovered case " (* ^ rule2str r *))
570 fun thmID_of_derivation_name dn = last_elem (space_explode "." dn);
571 fun thmID_of_derivation_name' thm = (thmID_of_derivation_name o Thm.get_name_hint) thm
572 fun thyID_of_derivation_name dn = hd (space_explode "." dn);
573 fun thm''_of_thm thm = (thmID_of_derivation_name' thm, thm) : thm''
575 fun eq_thmI ((thmid1 : thmID, _ : thm), (thmid2 : thmID, _ : thm)) =
576 (strip_thy thmid1) = (strip_thy thmid2);
577 (*WN120201 weakened*)
578 fun eq_thmI ((thmid1 : thmID, _ : thm), (thmid2 : thmID, _)) = thmid1 = thmid2;
579 (*version typed weaker WN100910*)
580 fun eq_thmI' ((thmid1, _), (thmid2, _)) =
581 (thmID_of_derivation_name thmid1) = (thmID_of_derivation_name thmid2);
584 (*check for [.] as caused by "fun assoc_thm'"*)
585 fun string_of_thm thm = term_to_string' (thy2ctxt' "Isac") (Thm.prop_of thm)
586 fun string_of_thm' thy thm = term_to_string' (thy2ctxt thy) (Thm.prop_of thm)
587 fun string_of_thmI thm =
589 val str = (de_quote o string_of_thm) thm
590 val (a, b) = split_nlast (5, Symbol.explode str)
593 [" ", " ","[", ".", "]"] => implode a
597 (*.id requested for all, Rls,Seq,Rrls.*)
598 fun id_rls Erls = "e_rls" (*WN060714 quick and dirty: recursive defs!*)
599 | id_rls (Rls {id,...}) = id
600 | id_rls (Seq {id,...}) = id
601 | id_rls (Rrls {id,...}) = id;
602 val rls2str = id_rls;
603 fun id_rule (Thm (id, _)) = id
604 | id_rule (Calc (id, _)) = id
605 | id_rule (Rls_ rls) = id_rls rls;
607 fun get_rules (Rls {rules,...}) = rules
608 | get_rules (Seq {rules,...}) = rules
609 | get_rules (Rrls _) = [];
611 fun rule2str Erule = "Erule"
612 | rule2str (Thm (str, thm)) = "Thm (\""^str^"\","^(string_of_thmI thm)^")"
613 | rule2str (Calc (str,f)) = "Calc (\""^str^"\",fn)"
614 | rule2str (Cal1 (str,f)) = "Cal1 (\""^str^"\",fn)"
615 | rule2str (Rls_ rls) = "Rls_ (\""^id_rls rls^"\")";
616 fun rule2str' Erule = "Erule"
617 | rule2str' (Thm (str, thm)) = "Thm (\""^str^"\",\"\")"
618 | rule2str' (Calc (str,f)) = "Calc (\""^str^"\",fn)"
619 | rule2str' (Cal1 (str,f)) = "Cal1 (\""^str^"\",fn)"
620 | rule2str' (Rls_ rls) = "Rls_ (\""^id_rls rls^"\")";
622 (*WN080102 compare eq_rule ?!?*)
623 fun eqrule (Thm (id1,_), Thm (id2,_)) = id1 = id2
624 | eqrule (Calc (id1,_), Calc (id2,_)) = id1 = id2
625 | eqrule (Cal1 (id1,_), Cal1 (id2,_)) = id1 = id2
626 | eqrule (Rls_ _, Rls_ _) = false (*{id=id1}{id=id2} = id1 = id2 FIXXME*)
629 type rrlsstate = (* state for reverse rewriting, comments see type rule and scr | Rfuns *)
630 (term * term * rule list list * (rule * (term * term list)) list);
632 val e_type = Type("empty",[]);
633 val a_type = TFree("'a",[]);
634 val e_term = Const("empty",e_type);
635 val a_term = Free("empty",a_type);
636 val e_rrlsstate = (e_term,e_term,[[e_rule]],[(e_rule,(e_term,[]))]):rrlsstate;
638 val e_term = Const("empty", Type("'a", []));
639 val e_scr = Prog e_term;
641 fun string_of_thy thy = Context.theory_name thy: theory';
642 val theory2domID = string_of_thy;
643 val theory2thyID = (get_thy o string_of_thy) : theory -> thyID;
644 val theory2theory' = string_of_thy;
645 val theory2str = string_of_thy; (*WN050903 ..most consistent naming*)
646 val theory2str' = implode o (drop_last_n 4) o Symbol.explode o string_of_thy;
647 (* fun theory'2theory = fun thyID2thy ... see fun assoc_thy (...Thy_Info_get_theory string);
648 al it = "Isac" : string
651 fun thyID2theory' (thyID:thyID) = thyID;
653 let val ss = Symbol.explode thyID
654 val ext = implode (takelast (4, ss))
655 in if ext = ".thy" then thyID : theory' (*disarm abuse of thyID*)
659 (* thyID2theory' "Isac" (*ok*);
660 val it = "Isac" : theory'
661 > thyID2theory' "Isac" (*abuse, goes ok...*);
662 val it = "Isac" : theory'
665 fun theory'2thyID (theory':theory') = theory';
667 let val ss = Symbol.explode theory'
668 val ext = implode (takelast (4, ss))
669 in if ext = ".thy" then ((implode o (drop_last_n 4)) ss) : thyID
670 else theory' (*disarm abuse of theory'*)
673 (* theory'2thyID "Isac";
674 val it = "Isac" : thyID
675 > theory'2thyID "Isac";
676 val it = "Isac" : thyID*)
679 (*. WN0509 discussion:
680 #############################################################################
681 # How to manage theorys in subproblems wrt. the requirement, #
682 # that scripts should be re-usable ? #
683 #############################################################################
685 eg. 'Script Solve_rat_equation' calls 'SubProblem (RatEq',..'
686 which would not allow to 'solve (y'' = -M_b / EI, M_b)' by this script
687 because Biegelinie.thy is subthy of RatEq.thy and thus Biegelinie.M_b
688 is unknown in RatEq.thy and M_b cannot be parsed into the scripts guard
691 Preliminary solution:
692 # the thy in 'SubProblem (thy', pbl, arglist)' is not taken automatically,
693 # instead the 'maxthy (rootthy pt) thy' is taken for each subpbl
694 # however, a thy specified by the user in the rootpbl may lead to
695 errors in far-off subpbls (which are not yet reported properly !!!)
696 and interactively specifiying thys in subpbl is not very relevant.
698 Other solutions possible:
699 # always parse and type-check with Thy_Info_get_theory "Isac"
700 (rejected tue to the vague idea eg. to re-use equations for R in C etc.)
701 # regard the subthy-relation in specifying thys of subpbls
702 # specifically handle 'SubProblem (undefined, pbl, arglist)'
705 (*WN0509 TODO "ProtoPure" ... would be more consistent
706 with assoc_thy <--> theory2theory' +FIXME assoc_thy "e_domID" -> Script.thy*)
707 val e_domID = "e_domID":domID;
709 (*the key into the hierarchy ob theory elements*)
710 type theID = string list;
711 val e_theID = ["e_theID"];
712 val theID2str = strs2str;
713 (*theID eg. is ["IsacKnowledge", "Test", "Rulesets", "ac_plus_times"]*)
714 fun theID2thyID (theID:theID) =
715 if length theID >= 3 then (last_elem o (drop_last_n 2)) theID : thyID
716 else error ("theID2thyID called with "^ theID2str theID);
718 (*the key into the hierarchy ob problems*)
719 type pblID = string list; (* domID::...*)
720 val e_pblID = ["e_pblID"]:pblID;
721 val pblID2str = strs2str;
723 (*the key into the hierarchy ob methods*)
724 type metID = string list;
725 val e_metID = ["e_metID"]:metID;
726 val metID2str = strs2str;
729 domID * (*WN.12.03: is replaced by thy from get_met ?FIXME? in:
730 specify (Init_Proof..), nxt_specify_init_calc,
731 assod (.SubProblem...), stac2tac (.SubProblem...)*)
735 fun spec2str ((dom,pbl,met)(*:spec*)) =
736 "(" ^ (quote dom) ^ ", " ^ (strs2str pbl) ^
737 ", " ^ (strs2str met) ^ ")";
738 (*> spec2str empty_spec;
739 val it = "(\"\", [], (\"\", \"\"))" : string *)
740 val empty_spec = (e_domID,e_pblID,e_metID):spec;
741 val e_spec = empty_spec;
743 (*.association list with cas-commands, for generating a complete calc-head.*)
745 (term list -> (* the arguments of the cas-command, eg. (x+1=2, x) *)
746 (term * (* description of an element *)
747 term list) (* value of the element (always put into a list) *)
748 list) (* of elements in the formalization *)
750 (term * (* cas-command, eg. 'solve' *)
751 (spec * (* theory, problem, method *)
753 fun cas_eq ((t1, (_, _)) : cas_elem, (t2, (_, _)) : cas_elem) = t1 = t2
755 (*either theID or pblID or metID*)
756 type kestoreID = string list;
757 val e_kestoreID = ["e_kestoreID"];
758 val kestoreID2str = strs2str;
760 (*for distinction of contexts WN130621: disambiguate with Isabelle's Context !*)
761 datatype ketype = Exp_ | Thy_ | Pbl_ | Met_;
762 fun ketype2str Exp_ = "Exp_"
763 | ketype2str Thy_ = "Thy_"
764 | ketype2str Pbl_ = "Pbl_"
765 | ketype2str Met_ = "Met_";
766 fun ketype2str' Exp_ = "Example"
767 | ketype2str' Thy_ = "Theory"
768 | ketype2str' Pbl_ = "Problem"
769 | ketype2str' Met_ = "Method";
770 fun str2ketype "Exp_" = Exp_
771 | str2ketype "Thy_" = Thy_
772 | str2ketype "Pbl_" = Pbl_
773 | str2ketype "Met_" = Met_
774 | str2ketype str = raise ERROR ("str2ketype: WRONG arg = " ^ str)
775 (* for conversion from XML *)
776 fun str2ketype' "exp" = Exp_
777 | str2ketype' "thy" = Thy_
778 | str2ketype' "pbl" = Pbl_
779 | str2ketype' "met" = Met_
780 | str2ketype' str = raise ERROR ("str2ketype': WRONG arg = " ^ str)
782 (*rewrite orders, also stored in 'type met' and type 'and rls'
783 The association list is required for 'rewrite.."rew_ord"..'
784 WN0509 tests not well-organized: see smltest/Knowledge/termorder.sml*)
785 val rew_ord' = Unsynchronized.ref
786 ([]:(rew_ord' * (*the key for the association list *)
787 (subst (*the bound variables - they get high order*)
788 -> (term * term) (*(t1, t2) to be compared *)
789 -> bool)) (*if t1 <= t2 then true else false *)
790 list); (*association list *)
792 (* NOT ACCEPTED BY struct
793 rew_ord' := overwritel (!rew_ord', [("e_rew_ord", e_rew_ord),
794 ("dummy_ord", dummy_ord)]);
797 (* A tree for storing data defined in different theories
798 for access from the Interpreter and from dialogue authoring
799 using a string list as key.
800 'a is for pbt | met | thydata; after WN030424 naming became inappropriate *)
802 Ptyp of string * (* element of the key *)
803 'a list * (* several pbts with different domIDs/thy TODO: select by subthy (isaref.p.69)
804 presently only _ONE_ elem FOR ALL KINDS OF CONTENT pbt | met | thydata *)
805 ('a ptyp) list;(* the children nodes *)
807 (*.datatype for collecting thydata for hierarchy.*)
808 (*WN060720 more consistent naming would be 'type thyelem' or 'thelem'*)
809 (*WN0606 Htxt contains html which does not belong to the sml-kernel*)
810 datatype thydata = Html of {guh: guh,
811 coursedesign: authors,
812 mathauthors: authors,
813 html: string} (*html; for demos before database*)
815 coursedesign: authors,
816 mathauthors: authors,
817 fillpats: fillpat list,
818 thm: thm} (* here no sym_thm, thus no thmID required *)
820 coursedesign: authors,
821 mathauthors: authors,
822 thy_rls: (thyID * rls)}
824 coursedesign: authors,
825 mathauthors: authors,
828 coursedesign: authors,
829 mathauthors: authors,
830 ord: (subst -> (term * term) -> bool)};
831 val e_thydata = Html {guh="e_guh", coursedesign=[], mathauthors=[], html=""};
832 fun the2str (Html {guh, coursedesign, mathauthors, html}) = guh : string
833 | the2str (Hthm {guh, coursedesign, mathauthors, fillpats, thm}) = guh
834 | the2str (Hrls {guh, coursedesign, mathauthors, thy_rls}) = guh
835 | the2str (Hcal {guh, coursedesign, mathauthors, calc}) = guh
836 | the2str (Hord {guh, coursedesign, mathauthors, ord}) = guh
837 fun thes2str thes = map the2str thes |> list2str;
839 (* notes on thehier concerning sym_thmID theorems (created in derivations, reverse rewriting)
840 (a): thehier does not contain sym_thmID theorems
841 (b): lookup for sym_thmID directly from Isabelle using sym_thm
842 (within math-engine NO lookup in thehier -- within java in *.xml only!)
843 TODO (c): export from thehier to xml
844 TODO (c1) creates one entry for "thmID" (and NONE for "sym_thmID") in the hierarchy
845 TODO (c2) creates 2 files "thy_*-thm-thmID.xml" and "thy_*-thm-sym_thmID.xml"
846 TODO (d): 1 entry in the MiniBrowser's hierarchy (generated from xml)
847 stands for both, "thmID" and "sym_thmID"
848 TODO (d1) lookup from calctxt
849 TODO (d1) lookup from from rule set in MiniBrowser *)
850 type thehier = (thydata ptyp) list;
851 (* required to determine sequence of main nodes of thehier in KEStore.thy *)
852 fun part2guh ([str]:theID) =
854 "Isabelle" => "thy_isab_" ^ str ^ "-part" : guh
855 | "IsacScripts" => "thy_scri_" ^ str ^ "-part"
856 | "IsacKnowledge" => "thy_isac_" ^ str ^ "-part"
857 | str => error ("thy2guh: called with '"^str^"'"))
858 | part2guh theID = error ("part2guh called with theID = " ^ theID2str theID);
860 fun thy2guh ([part, thyID] : theID) = (case part of
861 "Isabelle" => "thy_isab_" ^ thyID : guh
862 | "IsacScripts" => "thy_scri_" ^ thyID
863 | "IsacKnowledge" => "thy_isac_" ^ thyID
864 | str => error ("thy2guh: called with '" ^ str ^ "'"))
865 | thy2guh theID = error ("thy2guh called with '" ^ strs2str' theID ^ "'");
867 fun thypart2guh ([part, thyID, thypart] : theID) = case part of
868 "Isabelle" => "thy_isab_" ^ thyID ^ "-" ^ thypart : guh
869 | "IsacScripts" => "thy_scri_" ^ thyID ^ "-" ^ thypart
870 | "IsacKnowledge" => "thy_isac_" ^ thyID ^ "-" ^ thypart
871 | str => error ("thypart2guh: called with '" ^ str ^ "'");
873 (* convert the data got via contextToThy to a globally unique handle
874 there is another way to get the guh out of the 'theID' in the hierarchy *)
875 fun thm2guh (isa, thyID:thyID) (thmID:thmID) = case isa of
876 "Isabelle" => "thy_isab_" ^ theory'2thyID thyID ^ "-thm-" ^ strip_thy thmID : guh
877 | "IsacKnowledge" => "thy_isac_" ^ theory'2thyID thyID ^ "-thm-" ^ strip_thy thmID
878 | "IsacScripts" => "thy_scri_" ^ theory'2thyID thyID ^ "-thm-" ^ strip_thy thmID
879 | str => error ("thm2guh called with isa = '" ^ isa ^ "' for thm = " ^ thmID ^ "'");
881 fun rls2guh (isa, thyID:thyID) (rls':rls') = case isa of
882 "Isabelle" => "thy_isab_" ^ theory'2thyID thyID ^ "-rls-" ^ rls' : guh
883 | "IsacKnowledge" => "thy_isac_" ^ theory'2thyID thyID ^ "-rls-" ^ rls'
884 | "IsacScripts" => "thy_scri_" ^ theory'2thyID thyID ^ "-rls-" ^ rls'
885 | str => error ("rls2guh called with isa = '" ^ isa ^ "' for rls = '" ^ rls' ^ "'");
887 fun cal2guh (isa, thyID:thyID) calID = case isa of
888 "Isabelle" => "thy_isab_" ^ theory'2thyID thyID ^ "-cal-" ^ calID : guh
889 | "IsacKnowledge" => "thy_isac_" ^ theory'2thyID thyID ^ "-cal-" ^ calID
890 | "IsacScripts" => "thy_scri_" ^ theory'2thyID thyID ^ "-cal-" ^ calID
891 | str => error ("cal2guh called with isa = '" ^ isa ^ "' for cal = '" ^ calID ^ "'");
893 fun ord2guh (isa, thyID:thyID) (rew_ord':rew_ord') = case isa of
894 "Isabelle" => "thy_isab_" ^ theory'2thyID thyID ^ "-ord-" ^ rew_ord' : guh
895 | "IsacKnowledge" => "thy_isac_" ^ theory'2thyID thyID ^ "-ord-" ^ rew_ord'
896 | "IsacScripts" => "thy_scri_" ^ theory'2thyID thyID ^ "-ord-" ^ rew_ord'
897 | str => error ("ord2guh called with isa = '" ^ isa ^ "' for ord = '" ^ rew_ord' ^ "'");
899 (* not only for thydata, but also for thy's etc *)
900 fun theID2guh (theID : theID) = case length theID of
901 0 => error ("theID2guh: called with theID = " ^ strs2str' theID)
902 | 1 => part2guh theID
904 | 3 => thypart2guh theID
906 let val [isa, thyID, typ, elemID] = theID
908 "Theorems" => thm2guh (isa, thyID) elemID
909 | "Rulesets" => rls2guh (isa, thyID) elemID
910 | "Calculations" => cal2guh (isa, thyID) elemID
911 | "Orders" => ord2guh (isa, thyID) elemID
912 | "Theorems" => thy2guh [isa, thyID]
913 | str => error ("theID2guh: called with theID = " ^ strs2str' theID)
915 | n => error ("theID2guh called with theID = " ^ strs2str' theID);
918 type filename = string;
920 (*val xxx = fn: a b => (a,b); ??? fun-definition ???*)
922 fun ii (_:term) = e_rrlsstate;
923 fun no (_:term) = SOME (e_term,[e_term]);
924 fun lo (_:rule list list) (_:term) (_:rule) = [(e_rule,(e_term,[e_term]))];
925 fun ne (_:rule list list) (_:term) = SOME e_rule;
926 fun fo (_:rule list list) (_:term) (_:term) = [(e_rule,(e_term,[e_term]))];
928 val e_rfuns = Rfuns {init_state=ii,normal_form=no,locate_rule=lo,
929 next_rule=ne,attach_form=fo};
933 Rls {id = "e_rls", preconds = [], rew_ord = ("dummy_ord", dummy_ord), erls = Erls,
934 srls = Erls, calc = [], rules = [], errpatts = [], scr = EmptyScr}: rls;
936 Rrls {id = "e_rrls", prepat = [], rew_ord = ("dummy_ord", dummy_ord), erls = Erls,
937 calc = [], errpatts = [], scr=e_rfuns}:rls;
939 fun rep_rls (Rls {id,preconds,rew_ord,erls,srls,calc,errpatts,rules,scr}) =
940 {id=id,preconds=preconds,rew_ord=rew_ord,erls=erls,srls=srls,calc=calc,
941 (*asm_thm=asm_thm,*)rules=rules,scr=scr}
942 | rep_rls (Seq {id,preconds,rew_ord,erls,srls,calc,errpatts,rules,scr}) =
943 {id=id,preconds=preconds,rew_ord=rew_ord,erls=erls,srls=srls,calc=calc,
944 (*asm_thm=asm_thm,*)rules=rules,scr=scr}
945 | rep_rls Erls = rep_rls e_rls
946 | rep_rls (Rrls {id,...}) = rep_rls e_rls
947 (*error("rep_rls doesn't take apart reverse-rewrite-rule-sets: "^id)*);
948 (*| rep_rls (Seq {id,...}) =
949 error("rep_rls doesn't take apart reverse-rewrite-rule-sets: "^id);
951 fun rep_rrls (Rrls {id, calc, erls, prepat, rew_ord, errpatts,
952 scr = Rfuns {attach_form, init_state, locate_rule, next_rule, normal_form}}) =
953 {id=id, calc=calc, erls=erls, prepat=prepat,
954 rew_ord=rew_ord, errpatts=errpatts, attach_form=attach_form, init_state=init_state,
955 locate_rule=locate_rule, next_rule=next_rule, normal_form=normal_form}
956 | rep_rrls (Rls {id,...}) =
957 error ("rep_rrls doesn't take apart (normal) rule-sets: "^id)
958 | rep_rrls (Seq {id,...}) =
959 error ("rep_rrls doesn't take apart (normal) rule-sets: "^id);
961 fun append_rls id (Rls {id=_,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
962 rules =rs, errpatts=errpatts, scr=sc}) r =
963 (Rls{id=id,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
964 rules = rs @ r, errpatts=errpatts, scr=sc}:rls)
965 | append_rls id (Seq {id=_,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
966 rules =rs, errpatts=errpatts, scr=sc}) r =
967 (Seq{id=id,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
968 rules = rs @ r, errpatts=errpatts, scr=sc}:rls)
969 | append_rls id (Rrls _) _ =
970 error ("append_rls: not for reverse-rewrite-rule-set "^id);
972 (*. are _atomic_ rules equal ?.*)
973 (*WN080102 compare eqrule ?!?*)
974 fun eq_rule (Thm (thm1,_), Thm (thm2,_)) = thm1 = thm2
975 | eq_rule (Calc (id1,_), Calc (id2,_)) = id1 = id2
976 | eq_rule (Rls_ rls1, Rls_ rls2) = id_rls rls1 = id_rls rls2
977 (*id_rls checks for Rls, Seq, Rrls*)
980 fun merge_ids rls1 rls2 =
982 val id1 = (#id o rep_rls) rls1
983 val id2 = (#id o rep_rls) rls2
985 if id1 = id2 then id1
986 else "merged_" ^ id1 ^ "_" ^ id2
988 fun merge_rls _ Erls rls = rls
989 | merge_rls _ rls Erls = rls
990 | merge_rls _ (Rrls x) _ = Rrls x (* required for merging Theory_Data *)
991 | merge_rls _ _ (Rrls x) = Rrls x
993 (Rls {preconds = pc1, rew_ord = ro1, erls = er1, srls = sr1, calc = ca1,
994 rules = rs1, errpatts = eps1, scr = sc1, ...})
995 (Rls {preconds = pc2, erls = er2, srls = sr2, calc = ca2,
996 rules = rs2, errpatts = eps2, ...})
998 (Rls {id = id, rew_ord = ro1, scr = sc1,
999 preconds = union (op =) pc1 pc2,
1000 erls = merge_rls (merge_ids er1 er2) er1 er2,
1001 srls = merge_rls (merge_ids sr1 sr2) sr1 sr2,
1002 calc = union calc_eq ca1 ca2,
1003 rules = union eq_rule rs1 rs2,
1004 errpatts = union (op =) eps1 eps2} : rls)
1006 (Seq {preconds = pc1, rew_ord = ro1, erls = er1, srls = sr1, calc = ca1,
1007 rules = rs1, errpatts = eps1, scr = sc1, ...})
1008 (Seq {preconds = pc2, erls = er2, srls = sr2, calc = ca2,
1009 rules = rs2, errpatts = eps2, ...})
1011 (Seq {id = id, rew_ord = ro1, scr = sc1,
1012 preconds = union (op =) pc1 pc2,
1013 erls = merge_rls (merge_ids er1 er2) er1 er2,
1014 srls = merge_rls (merge_ids sr1 sr2) sr1 sr2,
1015 calc = union calc_eq ca1 ca2,
1016 rules = union eq_rule rs1 rs2,
1017 errpatts = union (op =) eps1 eps2} : rls)
1018 | merge_rls id _ _ = error ("merge_rls: \"" ^ id ^
1019 "\"; not for reverse-rewrite-rule-sets and not for mixed Rls -- Seq");
1021 fun remove_rls id (Rls {id=_,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
1022 rules=rs, errpatts=eps, scr=sc}) r =
1023 (Rls{id=id,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
1024 rules = gen_rems eq_rule (rs, r),
1025 errpatts = eps(*gen_rems op= (eps, TODO)*),
1027 | remove_rls id (Seq {id=_,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
1028 rules =rs, errpatts=eps, scr=sc}) r =
1029 (Seq{id=id,preconds=pc,rew_ord=ro,erls=er,srls=sr,calc=ca,
1030 rules = gen_rems eq_rule (rs, r),
1031 errpatts = eps(*gen_rems op= (eps, TODO)*),
1033 | remove_rls id (Rrls _) _ = error
1034 ("remove_rls: not for reverse-rewrite-rule-set "^id);
1036 (* datastructure for KEStore_Elems, intermediate for thehier *)
1038 (rls' * (* identifier unique within Isac *)
1039 (theory' * (* just for assignment in thehier, not appropriate for parsing etc *)
1040 rls)) (* ((#id o rep_rls) rls) = rls' by coding discipline *)
1041 fun rls_eq ((id1, (_, _)), (id2, (_, _))) = id1 = id2
1043 fun insert_merge_rls (re as (id, (thyID, r1)) : rlss_elem) ys =
1044 case get_index (fn y => if curry rls_eq re y then SOME y else NONE) ys of
1046 | SOME (i, (_, (_, r2))) =>
1048 val r12 = merge_rls id r1 r2
1049 in list_update ys i (id, (thyID, r12)) end
1051 fun merge_rlss (s1, s2) = fold insert_merge_rls s1 s2;
1054 fun memrls r (Rls {rules,...}) = gen_mem eqrule (r, rules)
1055 | memrls r (Seq {rules,...}) = gen_mem eqrule (r, rules)
1056 | memrls r _ = error ("memrls: incomplete impl. r= "^(rule2str r));
1058 fun assoc' ([], key) = error ("ME_Isa: '"^key^"' not known")
1059 | assoc' ((keyi, xi) :: pairs, key) =
1060 if key = keyi then SOME xi else assoc' (pairs, key);
1062 fun assoc_thy (thy:theory') =
1063 if thy = "e_domID" then (Thy_Info_get_theory "Script") (*lower bound of Knowledge*)
1064 else (Thy_Info_get_theory thy)
1065 handle _ => error ("ME_Isa: thy '" ^ thy ^ "' not in system");
1067 (*.overwrite an element in an association list and pair it with a thyID
1068 in order to create the thy_hierarchy;
1069 overwrites existing rls' even if they are defined in a different thy;
1070 this is related to assoc_rls, TODO.WN060120: assoc_rew_ord, assoc_calc;.*)
1071 (*WN060120 ...these are NOT compatible to "fun assoc_thm'" in that
1072 they do NOT handle overlays by re-using an identifier in different thys;
1073 "thyID.rlsID" would be a good solution, if the "." would be possible
1075 actually a hack to get alltogether run again with minimal effort*)
1076 fun insthy thy' (rls', rls) = (rls', (thy', rls));
1077 fun overwritelthy thy (al, bl:(rls' * rls) list) =
1078 let val bl' = map (insthy ((get_thy o theory2theory') thy)) bl
1079 in overwritel (al, bl') end;
1081 fun assoc_rew_ord ro = ((the o assoc') (!rew_ord',ro))
1082 handle _ => error ("ME_Isa: rew_ord '"^ro^"' not in system");
1083 (*get the string for stac from rule*)
1085 fun subst2str (s:subst) =
1087 (map (linefeed o pair2str o
1089 (apfst term2str)))) s;
1090 fun subst2str' (s:subst) =
1094 (apfst term2str)))) s;
1095 (*> subst2str' [(str2term "bdv", str2term "x"),
1096 (str2term "bdv_2", str2term "y")];
1097 val it = "[(bdv, x)]" : string
1099 val env2str = subst2str;
1103 fun scr2str (Prog s) = "Prog " ^ term2str s
1104 | scr2str (Rfuns _) = "Rfuns";
1107 fun maxthy thy1 thy2 = if Context.subthy (thy1, thy2) then thy2 else thy1;
1110 (* trace internal steps of isac's numeral calculations *)
1111 val trace_calc = Unsynchronized.ref false;
1112 (*.trace internal steps of isac's rewriter*)
1113 val trace_rewrite = Unsynchronized.ref false;
1114 (*.depth of recursion in traces of the rewriter, if trace_rewrite:=true.*)
1115 val depth = Unsynchronized.ref 99999;
1116 (*.no of rewrites exceeding this int -> NO rewrite.*)
1117 (*WN060829 still unused...*)
1118 val lim_rewrite = Unsynchronized.ref 99999;
1119 (*.no of derivation-elements exceeding this int -> SOME derivation-elements.*)
1120 val lim_deriv = Unsynchronized.ref 100;
1121 (*.switch for checking guhs unique before storing a pbl or met;
1122 set true at startup (done at begin of ROOT.ML)
1123 set false for editing IsacKnowledge (done at end of ROOT.ML).*)
1124 val check_guhs_unique = Unsynchronized.ref true;
1127 datatype lrd = (*elements of a path (=loc_) into an Isabelle term*)
1129 | R (*go right at $*)
1130 | D; (*go down at Abs*)
1131 type loc_ = lrd list;
1135 fun loc_2str (k:loc_) = (strs2str' o (map ldr2str)) k;
1138 (* the pattern for an item of a problems model or a methods guard *)
1140 (string * (* field *)
1141 (term * (* description *)
1142 term)) (* id | arbitrary term *);
1143 fun pat2str ((field, (dsc, id)) : pat) =
1144 pair2str (field, pair2str (term2str dsc, term2str id))
1145 fun pats2str pats = (strs2str o (map pat2str)) pats
1147 (* types for problems models (TODO rename to specification models) *)
1149 (string * (* field "#Given",..*)(*deprecated due to 'type pat'*)
1150 (term * (* description *)
1151 term)); (* id | struct-var *)
1152 val e_pbt_ = ("#Undef", (e_term, e_term)) : pbt_
1154 {guh : guh, (* unique within this isac-knowledge *)
1155 mathauthors : string list, (* copyright *)
1156 init : pblID, (* to start refinement with *)
1157 thy : theory, (* which allows to compile that pbt
1158 TODO: search generalized for subthy (ref.p.69*)
1159 (*^^^ WN050912 NOT used during application of the problem,
1160 because applied terms may be from 'subthy' as well as from super;
1161 thus we take 'maxthy'; see match_ags !*)
1162 cas : term option, (* 'CAS-command'*)
1163 prls : rls, (* for preds in where_*)
1164 where_ : term list, (* where - predicates*)
1165 ppc : pat list, (* this is the model-pattern;
1166 it contains "#Given","#Where","#Find","#Relate"-patterns
1167 for constraints on identifiers see "fun cpy_nam" *)
1168 met : metID list} (* methods solving the pbt*)
1170 val e_pbt = {guh = "pbl_empty", mathauthors = [], init = e_pblID, thy = Thy_Info.get_theory "Pure",
1171 cas = NONE, prls = Erls, where_ = [], ppc = [], met = []} : pbt
1173 ({cas = cas', guh = guh', init = init', mathauthors = ma', met = met', ppc = ppc',
1174 prls = prls', thy = thy', where_ = w'} : pbt) =
1175 "{cas = " ^ (termopt2str cas') ^ ", guh = \"" ^ guh' ^ "\", init = "
1176 ^ (strs2str init') ^ ", mathauthors = " ^ (strs2str ma' |> quote) ^ ", met = "
1177 ^ (strslist2strs met') ^ ", ppc = " ^ pats2str ppc' ^ ", prls = "
1178 ^ (rls2str prls' |> quote) ^ ", thy = {" ^ (theory2str thy') ^ "}, where_ = "
1179 ^ (terms2str w') ^ "}" |> linefeed;
1180 fun pbts2str pbts = map pbt2str pbts |> list2str;
1182 val e_Ptyp = Ptyp ("e_pblID",[e_pbt],[])
1183 type ptyps = (pbt ptyp) list
1185 fun coll_pblguhs pbls =
1186 let fun node coll (Ptyp (_,[n],ns)) =
1187 [(#guh : pbt -> guh) n] @ (nodes coll ns)
1188 and nodes coll [] = coll
1189 | nodes coll (n::ns) = (node coll n) @ (nodes coll ns);
1190 in nodes [] pbls end;
1191 fun check_pblguh_unique (guh:guh) (pbls: (pbt ptyp) list) =
1192 if member op = (coll_pblguhs pbls) guh
1193 then error ("check_guh_unique failed with '"^guh^"';\n"^
1194 "use 'sort_pblguhs()' for a list of guhs;\n"^
1195 "consider setting 'check_guhs_unique := false'")
1198 fun insrt _ pbt [k] [] = [Ptyp (k, [pbt], [])]
1199 | insrt d pbt [k] ((Ptyp (k', [p], ps)) :: pys) =
1200 ((*writeln ("### insert 1: ks = " ^ strs2str [k] ^ " k'= " ^ k');*)
1202 then ((Ptyp (k', [pbt], ps)) :: pys)
1203 else ((Ptyp (k', [p], ps)) :: (insrt d pbt [k] pys))
1205 | insrt d pbt (k::ks) ((Ptyp (k', [p], ps))::pys) =
1206 ((*writeln ("### insert 2: ks = "^(strs2str (k::ks))^" k'= "^k');*)
1208 then ((Ptyp (k', [p], insrt d pbt ks ps)) :: pys)
1211 then error ("insert: not found " ^ (strs2str (d : pblID)))
1212 else ((Ptyp (k', [p], ps)) :: (insrt d pbt (k :: ks) pys))
1215 fun update_ptyps ID _ _ [] =
1216 error ("update_ptyps: " ^ strs2str' ID ^ " does not exist")
1217 | update_ptyps ID [i] data ((py as Ptyp (key, _, pys)) :: pyss) =
1221 then ((Ptyp (key, [data], [])) :: pyss)
1222 else error ("update_ptyps: " ^ strs2str' ID ^ " has descendants")
1223 else py :: update_ptyps ID [i] data pyss
1224 | update_ptyps ID (i :: is) data ((py as Ptyp (key, d, pys)) :: pyss) =
1226 then ((Ptyp (key, d, update_ptyps ID is data pys)) :: pyss)
1227 else (py :: (update_ptyps ID (i :: is) data pyss))
1229 (* this function only works wrt. the way Isabelle evaluates Theories and is not a general merge
1230 function for trees / ptyps *)
1231 fun merge_ptyps ([], pt) = pt
1232 | merge_ptyps (pt, []) = pt
1233 | merge_ptyps ((x' as Ptyp (k, x, ps)) :: xs, (xs' as Ptyp (k', y, ps') :: ys)) =
1235 then Ptyp (k, y, merge_ptyps (ps, ps')) :: merge_ptyps (xs, ys)
1236 else x' :: merge_ptyps (xs, xs');
1237 fun merge_ptyps' pt1 pt2 = merge_ptyps (pt1, pt2)
1239 (* data for methods stored in 'methods'-database*)
1241 {guh : guh, (*unique within this isac-knowledge *)
1242 mathauthors: string list,(*copyright *)
1243 init : pblID, (*WN060721 introduced mistakenly--TODO.REMOVE!*)
1244 rew_ord' : rew_ord', (*for rules in Detail
1245 TODO.WN0509 store fun itself, see 'type pbt'*)
1246 erls : rls, (*the eval_rls for cond. in rules FIXME "rls'
1247 instead erls in "fun prep_met" *)
1248 srls : rls, (*for evaluating list expressions in scr *)
1249 prls : rls, (*for evaluating predicates in modelpattern *)
1250 crls : rls, (*for check_elementwise, ie. formulae in calc.*)
1251 nrls : rls, (*canonical simplifier specific for this met *)
1252 errpats : errpat list,(*error patterns expected in this method *)
1253 calc : calc list, (*Theory_Data in fun prep_met *)
1254 (*branch : TransitiveB set in append_problem at generation ob pblobj
1255 FIXXXME.0308: set branch from met in Apply_Method ? *)
1256 ppc : pat list, (*.items in given, find, relate;
1257 items (in "#Find") which need not occur in the arg-list of a SubProblem
1258 are 'copy-named' with an identifier "*'.'".
1259 copy-named items are 'generating' if they are NOT "*'''" ?WN120516??
1260 see ME/calchead.sml 'fun is_copy_named'. *)
1261 pre : term list, (*preconditions in where *)
1262 scr : scr (*prep_met gets progam or string "empty_script"*)
1264 val e_met = {guh="met_empty",mathauthors=[],init=e_metID,
1265 rew_ord' = "e_rew_ord'": rew_ord',
1266 erls = e_rls, srls = e_rls, prls = e_rls,
1267 calc = [], crls = e_rls, errpats = [], nrls= e_rls,
1268 ppc = []: (string * (term * term)) list,
1269 pre = []: term list,
1270 scr = EmptyScr: scr}:met;
1273 val e_Mets = Ptyp ("e_metID",[e_met],[]);
1275 type mets = (met ptyp) list;
1277 fun coll_metguhs mets =
1278 let fun node coll (Ptyp (_,[n],ns)) =
1279 [(#guh : met -> guh) n] @ (nodes coll ns)
1280 and nodes coll [] = coll
1281 | nodes coll (n::ns) = (node coll n) @ (nodes coll ns);
1282 in nodes [] mets end;
1284 fun check_metguh_unique (guh:guh) (mets: (met ptyp) list) =
1285 if member op = (coll_metguhs mets) guh
1286 then error ("check_guh_unique failed with '"^guh^"';\n"^
1287 "use 'sort_metguhs()' for a list of guhs;\n"^
1288 "consider setting 'check_guhs_unique := false'")
1291 fun Html_default exist = (Html {guh = theID2guh exist,
1292 coursedesign = ["isac team 2006"], mathauthors = [], html = ""})
1294 fun fill_parents (exist, [i]) thydata = Ptyp (i, [thydata], [])
1295 | fill_parents (exist, i :: is) thydata =
1296 Ptyp (i, [Html_default (exist @ [i])], [fill_parents (exist @ [i], is) thydata])
1297 | fill_parents _ _ = error "Html_default: avoid ML warning: Matches are not exhaustive"
1299 fun add_thydata (exist, is) thydata [] = [fill_parents (exist, is) thydata]
1300 | add_thydata (exist, [i]) data (pys as (py as Ptyp (key, _, _)) :: pyss) =
1302 then pys (* preserve existing thydata *)
1303 else py :: add_thydata (exist, [i]) data pyss
1304 | add_thydata (exist, iss as (i :: is)) data ((py as Ptyp (key, d, pys)) :: pyss) =
1308 then Ptyp (key, d, [fill_parents (exist @ [i], is) data]) :: pyss
1309 else Ptyp (key, d, add_thydata (exist @ [i], is) data pys) :: pyss
1310 else py :: add_thydata (exist, iss) data pyss
1311 | add_thydata _ _ _ = error "add_thydata: avoid ML warning: Matches are not exhaustive"
1313 fun update_hthm (Hthm {guh, coursedesign, mathauthors, thm, ...}) fillpats' =
1314 Hthm {guh = guh, coursedesign = coursedesign, mathauthors = mathauthors,
1315 fillpats = fillpats', thm = thm}
1316 | update_hthm _ _ = raise ERROR "wrong data";
1318 (* for interface for dialog-authoring *)
1319 fun update_hrls (Hrls {guh, coursedesign, mathauthors, thy_rls = (thyID, rls)}) errpatIDs =
1323 Rls {id, preconds, rew_ord, erls, srls, calc, rules, scr, ...} =>
1324 Rls {id = id, preconds = preconds, rew_ord = rew_ord, erls = erls, srls = srls,
1325 calc = calc, rules = rules, scr = scr, errpatts = errpatIDs}
1326 | Seq {id, preconds, rew_ord, erls, srls, calc, rules, scr, ...} =>
1327 Seq {id = id, preconds = preconds, rew_ord = rew_ord, erls = erls, srls = srls,
1328 calc = calc, rules = rules, scr = scr, errpatts = errpatIDs}
1329 | Rrls {id, prepat, rew_ord, erls, calc, scr, ...} =>
1330 Rrls {id = id, prepat = prepat, rew_ord = rew_ord, erls = erls, calc = calc,
1331 scr = scr, errpatts = errpatIDs}
1334 Hrls {guh = guh, coursedesign = coursedesign, mathauthors = mathauthors,
1335 thy_rls = (thyID, rls')}
1337 | update_hrls _ _ = raise ERROR "wrong data";
1339 fun app_py p f (d:pblID) (k(*:pblRD*)) = let
1341 error ("app_py: not found: " ^ (strs2str d));
1342 fun app_py' _ [] = py_err ()
1343 | app_py' [] _ = py_err ()
1344 | app_py' [k0] ((p' as Ptyp (k', _, _ ))::ps) =
1345 if k0 = k' then f p' else app_py' [k0] ps
1346 | app_py' (k' as (k0::ks)) (Ptyp (k'', _, ps)::ps') =
1347 if k0 = k'' then app_py' ks ps else app_py' k' ps';
1351 fun extract_py (Ptyp (_, [py], _)) = py
1352 | extract_py _ = error ("extract_py: Ptyp has wrong format.");
1353 in app_py p extract_py end;
1355 fun (*KEStore_Elems.*)insert_fillpats th fis = (* for tests bypassing setup KEStore_Elems *)
1357 fun update_elem th (theID, fillpats) =
1359 val hthm = get_py th theID theID
1360 val hthm' = update_hthm hthm fillpats
1361 handle ERROR _ => error ("insert_fillpats: " ^ strs2str theID ^ "must address a theorem")
1362 in update_ptyps theID theID hthm' end
1363 in fold (update_elem th) fis end
1365 (* group the theories defined in Isac, compare Build_Thydata:
1366 section "Get and group the theories defined in Isac" *)
1367 fun isabthys () = (*["Complex_Main", "Taylor", .., "Pure"]*)
1369 val allthys = Theory.ancestors_of (Thy_Info_get_theory "Build_Thydata")
1371 drop ((find_index (curry Context.eq_thy (Thy_Info.get_theory "Complex_Main")) allthys), allthys)
1373 fun knowthys () = (*["Isac", .., "Descript", "Delete"]*)
1375 fun isacthys () = (* ["Isac", .., "KEStore"] without Build_Isac thys: "Interpret" etc *)
1377 val allthys = filter_out (member Context.eq_thy
1378 [(*Thy_Info_get_theory "ProgLang",*) Thy_Info_get_theory "Interpret",
1379 Thy_Info_get_theory "xmlsrc", Thy_Info_get_theory "Frontend"])
1380 (Theory.ancestors_of (Thy_Info_get_theory "Build_Thydata"))
1382 take ((find_index (curry Context.eq_thy (Thy_Info.get_theory "Complex_Main")) allthys),
1385 val isacthys' = isacthys ()
1386 val proglang_parent = Thy_Info_get_theory "ProgLang"
1388 take ((find_index (curry Context.eq_thy proglang_parent) isacthys'), isacthys')
1390 fun progthys () = (*["Isac", .., "Descript", "Delete"]*)
1392 fun isacthys () = (* ["Isac", .., "KEStore"] without Build_Isac thys: "Interpret" etc *)
1394 val allthys = filter_out (member Context.eq_thy
1395 [(*Thy_Info_get_theory "ProgLang",*) Thy_Info_get_theory "Interpret",
1396 Thy_Info_get_theory "xmlsrc", Thy_Info_get_theory "Frontend"])
1397 (Theory.ancestors_of (Thy_Info_get_theory "Build_Thydata"))
1399 take ((find_index (curry Context.eq_thy (Thy_Info.get_theory "Complex_Main")) allthys),
1402 val isacthys' = isacthys ()
1403 val proglang_parent = Thy_Info_get_theory "ProgLang"
1405 drop ((find_index (curry Context.eq_thy proglang_parent) isacthys') + 1(*ProgLang*), isacthys')
1409 if member Context.eq_thy (knowthys ()) thy then "IsacKnowledge"
1410 else if member Context.eq_thy (progthys ()) thy then "IsacScripts"
1411 else if member Context.eq_thy (isabthys ()) thy then "Isabelle"
1412 else error ("closure of thys in Isac is broken by " ^ string_of_thy thy)
1413 fun partID' (thy' : theory') = partID (Thy_Info_get_theory thy')