author | bulwahn |
Wed, 23 Sep 2009 16:20:12 +0200 | |
changeset 32661 | f4d179d91af2 |
parent 30763 | 6976521b4263 |
child 32662 | 2faf1148c062 |
permissions | -rw-r--r-- |
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Theory specifications --- with type-inference, but no internal polymorphism.
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(* Title: Pure/Isar/specification.ML |
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Author: Makarius |
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Derived local theory specifications --- with type-inference and |
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toplevel polymorphism. |
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*) |
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signature SPECIFICATION = |
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sig |
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val print_consts: local_theory -> (string * typ -> bool) -> (string * typ) list -> unit |
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val check_spec: |
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(binding * typ option * mixfix) list -> (Attrib.binding * term) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term) list) * Proof.context |
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val read_spec: |
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(binding * string option * mixfix) list -> (Attrib.binding * string) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term) list) * Proof.context |
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val check_free_spec: |
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(binding * typ option * mixfix) list -> (Attrib.binding * term) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term) list) * Proof.context |
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val read_free_spec: |
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(binding * string option * mixfix) list -> (Attrib.binding * string) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term) list) * Proof.context |
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val check_specification: (binding * typ option * mixfix) list -> |
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(Attrib.binding * term list) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term list) list) * Proof.context |
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val read_specification: (binding * string option * mixfix) list -> |
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type Attrib.binding abbreviates Name.binding without attributes;
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(Attrib.binding * string list) list -> Proof.context -> |
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(((binding * typ) * mixfix) list * (Attrib.binding * term list) list) * Proof.context |
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val axiomatization: (binding * typ option * mixfix) list -> |
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(Attrib.binding * term list) list -> theory -> |
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(term list * (string * thm list) list) * theory |
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val axiomatization_cmd: (binding * string option * mixfix) list -> |
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(Attrib.binding * string list) list -> theory -> |
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(term list * (string * thm list) list) * theory |
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val definition: |
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(binding * typ option * mixfix) option * (Attrib.binding * term) -> |
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local_theory -> (term * (string * thm)) * local_theory |
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val definition_cmd: |
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(binding * string option * mixfix) option * (Attrib.binding * string) -> |
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local_theory -> (term * (string * thm)) * local_theory |
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val abbreviation: Syntax.mode -> (binding * typ option * mixfix) option * term -> |
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local_theory -> local_theory |
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val abbreviation_cmd: Syntax.mode -> (binding * string option * mixfix) option * string -> |
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local_theory -> local_theory |
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val notation: bool -> Syntax.mode -> (term * mixfix) list -> local_theory -> local_theory |
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val notation_cmd: bool -> Syntax.mode -> (string * mixfix) list -> local_theory -> local_theory |
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val theorems: string -> |
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(Attrib.binding * (thm list * Attrib.src list) list) list -> |
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local_theory -> (string * thm list) list * local_theory |
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val theorems_cmd: string -> |
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(Attrib.binding * (Facts.ref * Attrib.src list) list) list -> |
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local_theory -> (string * thm list) list * local_theory |
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val theorem: string -> Method.text option -> |
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(thm list list -> local_theory -> local_theory) -> Attrib.binding -> |
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Element.context_i list -> Element.statement_i -> |
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bool -> local_theory -> Proof.state |
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val theorem_cmd: string -> Method.text option -> |
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(thm list list -> local_theory -> local_theory) -> Attrib.binding -> |
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Element.context list -> Element.statement -> |
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bool -> local_theory -> Proof.state |
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val add_theorem_hook: (bool -> Proof.state -> Proof.state) -> Context.generic -> Context.generic |
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end; |
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structure Specification: SPECIFICATION = |
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struct |
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(* diagnostics *) |
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fun print_consts _ _ [] = () |
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| print_consts ctxt pred cs = Pretty.writeln (ProofDisplay.pretty_consts ctxt pred cs); |
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(* prepare specification *) |
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local |
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fun close_forms ctxt i xs As = |
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let |
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fun add_free (Free (x, _)) = if Variable.is_fixed ctxt x then I else insert (op =) x |
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| add_free _ = I; |
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val commons = map #1 xs; |
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val _ = |
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(case duplicates (op =) commons of [] => () |
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| dups => error ("Duplicate local variables " ^ commas_quote dups)); |
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val frees = rev ((fold o fold_aterms) add_free As (rev commons)); |
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val types = map (TypeInfer.param i o rpair []) (Name.invents Name.context Name.aT (length frees)); |
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val uniform_typing = the o AList.lookup (op =) (frees ~~ types); |
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fun abs_body lev y (Abs (x, T, b)) = Abs (x, T, abs_body (lev + 1) y b) |
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| abs_body lev y (t $ u) = abs_body lev y t $ abs_body lev y u |
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| abs_body lev y (t as Free (x, T)) = |
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if x = y then TypeInfer.constrain (uniform_typing x) (TypeInfer.constrain T (Bound lev)) |
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else t |
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| abs_body _ _ a = a; |
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fun close (y, U) B = |
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let val B' = abs_body 0 y (Term.incr_boundvars 1 B) |
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in if Term.loose_bvar1 (B', 0) then Term.all dummyT $ Abs (y, U, B') else B end; |
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fun close_form A = |
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let |
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val occ_frees = rev (fold_aterms add_free A []); |
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val bounds = xs @ map (rpair dummyT) (subtract (op =) commons occ_frees); |
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in fold_rev close bounds A end; |
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in map close_form As end; |
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fun prepare prep_vars parse_prop prep_att do_close raw_vars raw_specss ctxt = |
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let |
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val thy = ProofContext.theory_of ctxt; |
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val (vars, vars_ctxt) = ctxt |> prep_vars raw_vars; |
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val (xs, params_ctxt) = vars_ctxt |> ProofContext.add_fixes vars; |
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val Asss = (map o map) (map (parse_prop params_ctxt) o snd) raw_specss; |
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val names = Variable.names_of (params_ctxt |> (fold o fold o fold) Variable.declare_term Asss) |
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|> fold Name.declare xs; |
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val Asss' = #1 ((fold_map o fold_map o fold_map) Term.free_dummy_patterns Asss names); |
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val idx = (fold o fold o fold) Term.maxidx_term Asss' ~1 + 1; |
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val specs = |
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(if do_close then |
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#1 (fold_map |
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(fn Ass => fn i => (burrow (close_forms params_ctxt i []) Ass, i + 1)) Asss' idx) |
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else Asss') |
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|> flat |> burrow (Syntax.check_props params_ctxt); |
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val specs_ctxt = params_ctxt |> (fold o fold) Variable.declare_term specs; |
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val Ts = specs_ctxt |> fold_map ProofContext.inferred_param xs |> fst; |
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val params = map2 (fn (b, _, mx) => fn T => ((b, T), mx)) vars Ts; |
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val name_atts = map (fn ((name, atts), _) => (name, map (prep_att thy) atts)) (flat raw_specss); |
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in ((params, name_atts ~~ specs), specs_ctxt) end; |
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fun single_spec (a, prop) = [(a, [prop])]; |
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fun the_spec (a, [prop]) = (a, prop); |
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fun prep_spec prep_vars parse_prop prep_att do_close vars specs = |
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136 |
prepare prep_vars parse_prop prep_att do_close |
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137 |
vars (map single_spec specs) #>> apsnd (map the_spec); |
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138 |
|
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139 |
fun prep_specification prep_vars parse_prop prep_att vars specs = |
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140 |
prepare prep_vars parse_prop prep_att true [specs]; |
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141 |
|
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142 |
in |
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143 |
|
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144 |
fun check_spec x = prep_spec ProofContext.cert_vars (K I) (K I) true x; |
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145 |
fun read_spec x = prep_spec ProofContext.read_vars Syntax.parse_prop Attrib.intern_src true x; |
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146 |
|
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147 |
fun check_free_spec x = prep_spec ProofContext.cert_vars (K I) (K I) false x; |
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148 |
fun read_free_spec x = prep_spec ProofContext.read_vars Syntax.parse_prop Attrib.intern_src false x; |
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149 |
|
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150 |
fun check_specification vars specs = |
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151 |
prepare ProofContext.cert_vars (K I) (K I) true vars [specs]; |
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152 |
|
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153 |
fun read_specification vars specs = |
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154 |
prepare ProofContext.read_vars Syntax.parse_prop Attrib.intern_src true vars [specs]; |
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155 |
|
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156 |
end; |
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157 |
|
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158 |
|
28114 | 159 |
(* axiomatization -- within global theory *) |
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160 |
|
28114 | 161 |
fun gen_axioms do_print prep raw_vars raw_specs thy = |
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162 |
let |
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163 |
val ((vars, specs), _) = prep raw_vars raw_specs (ProofContext.init thy); |
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164 |
val xs = map (fn ((b, T), _) => (Name.of_binding b, T)) vars; |
28114 | 165 |
|
166 |
(*consts*) |
|
167 |
val (consts, consts_thy) = thy |> fold_map (Theory.specify_const []) vars; |
|
168 |
val subst = Term.subst_atomic (map Free xs ~~ consts); |
|
169 |
||
170 |
(*axioms*) |
|
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171 |
val (axioms, axioms_thy) = (specs, consts_thy) |-> fold_map (fn ((b, atts), props) => |
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172 |
fold_map Thm.add_axiom |
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173 |
(map (apfst (fn a => Binding.map_name (K a) b)) |
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174 |
(PureThy.name_multi (Name.of_binding b) (map subst props))) |
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175 |
#>> (fn ths => ((b, atts), [(map Drule.standard' ths, [])]))); |
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176 |
|
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177 |
(*facts*) |
28114 | 178 |
val (facts, thy') = axioms_thy |> PureThy.note_thmss Thm.axiomK |
179 |
(Attrib.map_facts (Attrib.attribute_i axioms_thy) axioms); |
|
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180 |
|
26595 | 181 |
val _ = |
182 |
if not do_print then () |
|
28114 | 183 |
else print_consts (ProofContext.init thy') (K false) xs; |
184 |
in ((consts, facts), thy') end; |
|
18786 | 185 |
|
26595 | 186 |
val axiomatization = gen_axioms false check_specification; |
187 |
val axiomatization_cmd = gen_axioms true read_specification; |
|
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188 |
|
18786 | 189 |
|
190 |
(* definition *) |
|
191 |
||
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192 |
fun gen_def do_print prep (raw_var, raw_spec) lthy = |
18786 | 193 |
let |
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194 |
val (vars, [((raw_name, atts), prop)]) = fst (prep (the_list raw_var) [raw_spec] lthy); |
21705 | 195 |
val (((x, T), rhs), prove) = LocalDefs.derived_def lthy true prop; |
30434 | 196 |
val var as (b, _) = |
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197 |
(case vars of |
28965 | 198 |
[] => (Binding.name x, NoSyn) |
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199 |
| [((b, _), mx)] => |
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200 |
let |
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201 |
val y = Name.of_binding b; |
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202 |
val _ = x = y orelse |
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203 |
error ("Head of definition " ^ quote x ^ " differs from declaration " ^ quote y ^ |
28941 | 204 |
Position.str_of (Binding.pos_of b)); |
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205 |
in (b, mx) end); |
30434 | 206 |
val name = Thm.def_binding_optional b raw_name; |
207 |
val ((lhs, (_, th)), lthy2) = lthy |
|
208 |
|> LocalTheory.define Thm.definitionK |
|
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209 |
(var, ((Binding.suffix_name "_raw" name, []), rhs)); |
30434 | 210 |
val ((def_name, [th']), lthy3) = lthy2 |
211 |
|> LocalTheory.note Thm.definitionK |
|
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|
212 |
((name, Predicate_Compile_Preproc_Const_Defs.add :: Code.add_default_eqn_attrib :: atts), |
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|
213 |
[prove lthy2 th]); |
18786 | 214 |
|
21705 | 215 |
val lhs' = Morphism.term (LocalTheory.target_morphism lthy3) lhs; |
26595 | 216 |
val _ = |
217 |
if not do_print then () |
|
218 |
else print_consts lthy3 (member (op =) (Term.add_frees lhs' [])) [(x, T)]; |
|
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219 |
in ((lhs, (def_name, th')), lthy3) end; |
18786 | 220 |
|
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221 |
val definition = gen_def false check_free_spec; |
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222 |
val definition_cmd = gen_def true read_free_spec; |
18786 | 223 |
|
19080 | 224 |
|
225 |
(* abbreviation *) |
|
226 |
||
26595 | 227 |
fun gen_abbrev do_print prep mode (raw_var, raw_prop) lthy = |
19080 | 228 |
let |
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229 |
val ((vars, [(_, prop)]), _) = |
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230 |
prep (the_list raw_var) [(Attrib.empty_binding, raw_prop)] |
24676 | 231 |
(lthy |> ProofContext.set_mode ProofContext.mode_abbrev); |
21705 | 232 |
val ((x, T), rhs) = LocalDefs.abs_def (#2 (LocalDefs.cert_def lthy prop)); |
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|
233 |
val var = |
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|
234 |
(case vars of |
28965 | 235 |
[] => (Binding.name x, NoSyn) |
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|
236 |
| [((b, _), mx)] => |
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|
237 |
let |
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|
238 |
val y = Name.of_binding b; |
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|
239 |
val _ = x = y orelse |
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|
240 |
error ("Head of abbreviation " ^ quote x ^ " differs from declaration " ^ quote y ^ |
28941 | 241 |
Position.str_of (Binding.pos_of b)); |
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|
242 |
in (b, mx) end); |
21705 | 243 |
val lthy' = lthy |
24986 | 244 |
|> ProofContext.set_syntax_mode mode (* FIXME ?!? *) |
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245 |
|> LocalTheory.abbrev mode (var, rhs) |> snd |
21705 | 246 |
|> ProofContext.restore_syntax_mode lthy; |
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|
247 |
|
26595 | 248 |
val _ = if not do_print then () else print_consts lthy' (K false) [(x, T)]; |
21532 | 249 |
in lthy' end; |
19080 | 250 |
|
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251 |
val abbreviation = gen_abbrev false check_free_spec; |
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|
252 |
val abbreviation_cmd = gen_abbrev true read_free_spec; |
19080 | 253 |
|
19664 | 254 |
|
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|
255 |
(* notation *) |
19664 | 256 |
|
24949 | 257 |
fun gen_notation prep_const add mode args lthy = |
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|
258 |
lthy |> LocalTheory.notation add mode (map (apfst (prep_const lthy)) args); |
19664 | 259 |
|
24927
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|
260 |
val notation = gen_notation (K I); |
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|
261 |
val notation_cmd = gen_notation ProofContext.read_const; |
19664 | 262 |
|
20914 | 263 |
|
21036 | 264 |
(* fact statements *) |
20914 | 265 |
|
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|
266 |
fun gen_theorems prep_fact prep_att kind raw_facts lthy = |
20914 | 267 |
let |
268 |
val attrib = prep_att (ProofContext.theory_of lthy); |
|
269 |
val facts = raw_facts |> map (fn ((name, atts), bs) => |
|
270 |
((name, map attrib atts), |
|
26345
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|
271 |
bs |> map (fn (b, more_atts) => (prep_fact lthy b, map attrib more_atts)))); |
21435 | 272 |
val (res, lthy') = lthy |> LocalTheory.notes kind facts; |
28093 | 273 |
val _ = ProofDisplay.print_results true lthy' ((kind, ""), res); |
20914 | 274 |
in (res, lthy') end; |
275 |
||
24927
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|
276 |
val theorems = gen_theorems (K I) (K I); |
26345
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|
277 |
val theorems_cmd = gen_theorems ProofContext.get_fact Attrib.intern_src; |
20914 | 278 |
|
21036 | 279 |
|
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parents:
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diff
changeset
|
280 |
(* complex goal statements *) |
21036 | 281 |
|
282 |
local |
|
283 |
||
21236 | 284 |
fun prep_statement prep_att prep_stmt elems concl ctxt = |
285 |
(case concl of |
|
286 |
Element.Shows shows => |
|
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changeset
|
287 |
let |
28880 | 288 |
val (propp, elems_ctxt) = prep_stmt elems (map snd shows) ctxt; |
30472 | 289 |
val prems = Assumption.local_prems_of elems_ctxt ctxt; |
21450 | 290 |
val stmt = Attrib.map_specs prep_att (map fst shows ~~ propp); |
21370
d9dd7b4e5e69
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diff
changeset
|
291 |
val goal_ctxt = fold (fold (Variable.auto_fixes o fst)) propp elems_ctxt; |
21450 | 292 |
in ((prems, stmt, []), goal_ctxt) end |
21236 | 293 |
| Element.Obtains obtains => |
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changeset
|
294 |
let |
28862 | 295 |
val case_names = obtains |> map_index (fn (i, (b, _)) => |
30585
6b2ba4666336
use Name.of_binding for basic logical entities without name space (fixes, case names etc.);
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parents:
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diff
changeset
|
296 |
if Binding.is_empty b then string_of_int (i + 1) else Name.of_binding b); |
21236 | 297 |
val constraints = obtains |> map (fn (_, (vars, _)) => |
28710 | 298 |
Element.Constrains |
30585
6b2ba4666336
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parents:
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diff
changeset
|
299 |
(vars |> map_filter (fn (x, SOME T) => SOME (Name.of_binding x, T) | _ => NONE))); |
21036 | 300 |
|
21236 | 301 |
val raw_propp = obtains |> map (fn (_, (_, props)) => map (rpair []) props); |
28880 | 302 |
val (propp, elems_ctxt) = prep_stmt (elems @ constraints) raw_propp ctxt; |
21236 | 303 |
|
304 |
val thesis = ObjectLogic.fixed_judgment (ProofContext.theory_of ctxt) AutoBind.thesisN; |
|
21036 | 305 |
|
21236 | 306 |
fun assume_case ((name, (vars, _)), asms) ctxt' = |
307 |
let |
|
28080
4723eb2456ce
explicit type Name.binding for higher-specification elements;
wenzelm
parents:
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diff
changeset
|
308 |
val bs = map fst vars; |
30585
6b2ba4666336
use Name.of_binding for basic logical entities without name space (fixes, case names etc.);
wenzelm
parents:
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diff
changeset
|
309 |
val xs = map Name.of_binding bs; |
21236 | 310 |
val props = map fst asms; |
28080
4723eb2456ce
explicit type Name.binding for higher-specification elements;
wenzelm
parents:
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changeset
|
311 |
val (Ts, _) = ctxt' |
21236 | 312 |
|> fold Variable.declare_term props |
313 |
|> fold_map ProofContext.inferred_param xs; |
|
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val asm = Term.list_all_free (xs ~~ Ts, Logic.list_implies (props, thesis)); |
21236 | 315 |
in |
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ctxt' |> (snd o ProofContext.add_fixes (map (fn b => (b, NONE, NoSyn)) bs)); |
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ctxt' |> Variable.auto_fixes asm |
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|> ProofContext.add_assms_i Assumption.assume_export |
319 |
[((name, [ContextRules.intro_query NONE]), [(asm, [])])] |
|
320 |
|>> (fn [(_, [th])] => th) |
|
321 |
end; |
|
322 |
||
21658 | 323 |
val atts = map (Attrib.internal o K) |
21236 | 324 |
[RuleCases.consumes (~ (length obtains)), RuleCases.case_names case_names]; |
30472 | 325 |
val prems = Assumption.local_prems_of elems_ctxt ctxt; |
28965 | 326 |
val stmt = [((Binding.empty, atts), [(thesis, [])])]; |
21236 | 327 |
|
328 |
val (facts, goal_ctxt) = elems_ctxt |
|
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|> (snd o ProofContext.add_fixes [(Binding.name AutoBind.thesisN, NONE, NoSyn)]) |
21236 | 330 |
|> fold_map assume_case (obtains ~~ propp) |
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|-> (fn ths => ProofContext.note_thmss Thm.assumptionK |
28965 | 332 |
[((Binding.name Obtain.thatN, []), [(ths, [])])] #> #2 #> pair ths); |
21450 | 333 |
in ((prems, stmt, facts), goal_ctxt) end); |
21036 | 334 |
|
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structure TheoremHook = GenericDataFun |
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336 |
( |
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type T = ((bool -> Proof.state -> Proof.state) * stamp) list; |
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val empty = []; |
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|
339 |
val extend = I; |
24464 | 340 |
fun merge _ hooks : T = Library.merge (eq_snd op =) hooks; |
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341 |
); |
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342 |
|
21036 | 343 |
fun gen_theorem prep_att prep_stmt |
28858 | 344 |
kind before_qed after_qed (name, raw_atts) raw_elems raw_concl int lthy = |
21036 | 345 |
let |
28858 | 346 |
val _ = LocalTheory.affirm lthy; |
347 |
val thy = ProofContext.theory_of lthy; |
|
21036 | 348 |
|
21435 | 349 |
val attrib = prep_att thy; |
350 |
val atts = map attrib raw_atts; |
|
28710 | 351 |
val elems = raw_elems |> map (Element.map_ctxt_attrib attrib); |
21450 | 352 |
val ((prems, stmt, facts), goal_ctxt) = |
28880 | 353 |
prep_statement attrib prep_stmt elems raw_concl lthy; |
21036 | 354 |
|
355 |
fun after_qed' results goal_ctxt' = |
|
21602 | 356 |
let val results' = |
357 |
burrow (map Goal.norm_result o ProofContext.export goal_ctxt' lthy) results |
|
358 |
in |
|
21036 | 359 |
lthy |
21435 | 360 |
|> LocalTheory.notes kind (map2 (fn (a, _) => fn ths => (a, [(ths, [])])) stmt results') |
21036 | 361 |
|> (fn (res, lthy') => |
28965 | 362 |
if Binding.is_empty name andalso null atts then |
28093 | 363 |
(ProofDisplay.print_results true lthy' ((kind, ""), res); lthy') |
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364 |
else |
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|
365 |
let |
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|
366 |
val ([(res_name, _)], lthy'') = lthy' |
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367 |
|> LocalTheory.notes kind [((name, atts), [(maps #2 res, [])])]; |
28093 | 368 |
val _ = ProofDisplay.print_results true lthy' ((kind, res_name), res); |
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|
369 |
in lthy'' end) |
21036 | 370 |
|> after_qed results' |
371 |
end; |
|
372 |
in |
|
373 |
goal_ctxt |
|
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374 |
|> ProofContext.note_thmss Thm.assumptionK |
28965 | 375 |
[((Binding.name AutoBind.assmsN, []), [(prems, [])])] |
21450 | 376 |
|> snd |
21435 | 377 |
|> Proof.theorem_i before_qed after_qed' (map snd stmt) |
24557 | 378 |
|> Proof.refine_insert facts |
24542 | 379 |
|> Library.apply (map (fn (f, _) => f int) (rev (TheoremHook.get (Context.Proof goal_ctxt)))) |
21036 | 380 |
end; |
381 |
||
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theorem statements: incorporate Obtain.statement, tuned;
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changeset
|
382 |
in |
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theorem statements: incorporate Obtain.statement, tuned;
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changeset
|
383 |
|
29249 | 384 |
val theorem = gen_theorem (K I) Expression.cert_statement; |
385 |
val theorem_cmd = gen_theorem Attrib.intern_src Expression.read_statement; |
|
21036 | 386 |
|
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changeset
|
387 |
fun add_theorem_hook f = TheoremHook.map (cons (f, stamp ())); |
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changeset
|
388 |
|
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Theory specifications --- with type-inference, but no internal polymorphism.
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diff
changeset
|
389 |
end; |
21036 | 390 |
|
391 |
end; |