author | wenzelm |
Fri, 17 Dec 2010 13:12:58 +0100 | |
changeset 41224 | 8a104c2a186f |
parent 41198 | aa627a799e8e |
child 41250 | 41f86829e22f |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/SMT/smt_translate.ML |
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Author: Sascha Boehme, TU Muenchen |
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Translate theorems into an SMT intermediate format and serialize them. |
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*) |
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signature SMT_TRANSLATE = |
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sig |
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(*intermediate term structure*) |
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datatype squant = SForall | SExists |
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datatype 'a spattern = SPat of 'a list | SNoPat of 'a list |
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datatype sterm = |
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SVar of int | |
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SApp of string * sterm list | |
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SLet of string * sterm * sterm | |
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SQua of squant * string list * sterm spattern list * int option * sterm |
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(*translation configuration*) |
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type prefixes = {sort_prefix: string, func_prefix: string} |
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type sign = { |
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header: string list, |
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sorts: string list, |
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dtyps: (string * (string * (string * string) list) list) list list, |
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funcs: (string * (string list * string)) list } |
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type config = { |
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prefixes: prefixes, |
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header: term list -> string list, |
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is_fol: bool, |
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has_datatypes: bool, |
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serialize: string list -> sign -> sterm list -> string } |
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type recon = { |
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context: Proof.context, |
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typs: typ Symtab.table, |
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terms: term Symtab.table, |
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rewrite_rules: thm list, |
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assms: (int * thm) list } |
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(*translation*) |
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val add_config: SMT_Utils.class * (Proof.context -> config) -> |
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Context.generic -> Context.generic |
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val translate: Proof.context -> string list -> (int * thm) list -> |
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string * recon |
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end |
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structure SMT_Translate: SMT_TRANSLATE = |
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struct |
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structure U = SMT_Utils |
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structure B = SMT_Builtin |
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(* intermediate term structure *) |
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datatype squant = SForall | SExists |
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datatype 'a spattern = SPat of 'a list | SNoPat of 'a list |
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datatype sterm = |
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SVar of int | |
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SApp of string * sterm list | |
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SLet of string * sterm * sterm | |
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SQua of squant * string list * sterm spattern list * int option * sterm |
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(* translation configuration *) |
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type prefixes = {sort_prefix: string, func_prefix: string} |
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type sign = { |
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header: string list, |
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sorts: string list, |
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dtyps: (string * (string * (string * string) list) list) list list, |
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funcs: (string * (string list * string)) list } |
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type config = { |
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prefixes: prefixes, |
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header: term list -> string list, |
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is_fol: bool, |
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has_datatypes: bool, |
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serialize: string list -> sign -> sterm list -> string } |
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type recon = { |
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context: Proof.context, |
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typs: typ Symtab.table, |
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terms: term Symtab.table, |
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rewrite_rules: thm list, |
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parents:
39535
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assms: (int * thm) list } |
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(* translation context *) |
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fun make_tr_context {sort_prefix, func_prefix} = |
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(sort_prefix, 1, Typtab.empty, func_prefix, 1, Termtab.empty) |
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fun string_of_index pre i = pre ^ string_of_int i |
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fun add_typ T proper (cx as (sp, Tidx, typs, fp, idx, terms)) = |
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(case Typtab.lookup typs T of |
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SOME (n, _) => (n, cx) |
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| NONE => |
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let |
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val n = string_of_index sp Tidx |
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val typs' = Typtab.update (T, (n, proper)) typs |
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in (n, (sp, Tidx+1, typs', fp, idx, terms)) end) |
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fun add_fun t sort (cx as (sp, Tidx, typs, fp, idx, terms)) = |
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(case Termtab.lookup terms t of |
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SOME (n, _) => (n, cx) |
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| NONE => |
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let |
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val n = string_of_index fp idx |
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val terms' = Termtab.update (t, (n, sort)) terms |
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in (n, (sp, Tidx, typs, fp, idx+1, terms')) end) |
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fun sign_of header dtyps (_, _, typs, _, _, terms) = { |
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header = header, |
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sorts = Typtab.fold (fn (_, (n, true)) => cons n | _ => I) typs [], |
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dtyps = dtyps, |
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funcs = Termtab.fold (fn (_, (n, SOME ss)) => cons (n,ss) | _ => I) terms []} |
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fun recon_of ctxt rules thms ithms revertT revert (_, _, typs, _, _, terms) = |
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let |
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fun add_typ (T, (n, _)) = Symtab.update (n, revertT T) |
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val typs' = Typtab.fold add_typ typs Symtab.empty |
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fun add_fun (t, (n, _)) = Symtab.update (n, revert t) |
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val terms' = Termtab.fold add_fun terms Symtab.empty |
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val assms = map (pair ~1) thms @ ithms |
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in |
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{context=ctxt, typs=typs', terms=terms', rewrite_rules=rules, assms=assms} |
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end |
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(* preprocessing *) |
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(** mark built-in constants as Var **) |
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fun mark_builtins ctxt = |
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let |
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(* |
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Note: schematic terms cannot occur anymore in terms at this stage. |
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*) |
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fun mark t = |
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(case Term.strip_comb t of |
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(u as Const (@{const_name If}, _), ts) => marks u ts |
41173
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| (u as @{const SMT.weight}, [t1, t2]) => |
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mark t2 #>> (fn t2' => u $ t1 $ t2') |
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| (u as Const c, ts) => |
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(case B.builtin_num ctxt t of |
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154 |
SOME (n, T) => |
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let val v = ((n, 0), T) |
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156 |
in Vartab.update v #> pair (Var v) end |
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| NONE => |
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158 |
(case B.builtin_fun ctxt c ts of |
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159 |
SOME ((ni, T), us, U) => |
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Vartab.update (ni, U) #> marks (Var (ni, T)) us |
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| NONE => marks u ts)) |
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162 |
| (Abs (n, T, u), ts) => mark u #-> (fn u' => marks (Abs (n, T, u')) ts) |
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| (u, ts) => marks u ts) |
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164 |
|
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and marks t ts = fold_map mark ts #>> Term.list_comb o pair t |
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166 |
|
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in (fn ts => swap (fold_map mark ts Vartab.empty)) end |
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168 |
|
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fun mark_builtins' ctxt t = hd (snd (mark_builtins ctxt [t])) |
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170 |
|
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171 |
|
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172 |
(** FIXME **) |
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173 |
|
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174 |
local |
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175 |
(* |
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176 |
mark constructors and selectors as Vars (forcing eta-expansion), |
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177 |
add missing datatype selectors via hypothetical definitions, |
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178 |
also return necessary datatype and record theorems |
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179 |
*) |
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in |
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181 |
|
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182 |
fun collect_datatypes_and_records (tr_context, ctxt) ts = |
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(([], tr_context, ctxt), ts) |
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184 |
|
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185 |
end |
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186 |
|
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187 |
|
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188 |
(** eta-expand quantifiers, let expressions and built-ins *) |
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189 |
|
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190 |
local |
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fun eta T t = Abs (Name.uu, T, Term.incr_boundvars 1 t $ Bound 0) |
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192 |
|
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193 |
fun exp T = eta (Term.domain_type (Term.domain_type T)) |
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194 |
|
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195 |
fun exp2 T q = |
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196 |
let val U = Term.domain_type T |
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197 |
in Abs (Name.uu, U, q $ eta (Term.domain_type U) (Bound 0)) end |
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198 |
|
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199 |
fun exp2' T l = |
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let val (U1, U2) = Term.dest_funT T ||> Term.domain_type |
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201 |
in Abs (Name.uu, U1, eta U2 (l $ Bound 0)) end |
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202 |
|
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203 |
fun expf t i T ts = |
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204 |
let val Ts = U.dest_funT i T |> fst |> drop (length ts) |
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205 |
in |
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206 |
Term.list_comb (t, ts) |
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|> Term.incr_boundvars (length Ts) |
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|> fold_index (fn (i, _) => fn u => u $ Bound i) Ts |
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209 |
|> fold_rev (fn T => fn u => Abs (Name.uu, T, u)) Ts |
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210 |
end |
41127
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211 |
|
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212 |
fun expand ((q as Const (@{const_name All}, _)) $ Abs a) = q $ abs_expand a |
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213 |
| expand ((q as Const (@{const_name All}, T)) $ t) = q $ exp T t |
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214 |
| expand (q as Const (@{const_name All}, T)) = exp2 T q |
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215 |
| expand ((q as Const (@{const_name Ex}, _)) $ Abs a) = q $ abs_expand a |
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216 |
| expand ((q as Const (@{const_name Ex}, T)) $ t) = q $ exp T t |
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217 |
| expand (q as Const (@{const_name Ex}, T)) = exp2 T q |
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218 |
| expand ((l as Const (@{const_name Let}, _)) $ t $ Abs a) = |
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219 |
l $ expand t $ abs_expand a |
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220 |
| expand ((l as Const (@{const_name Let}, T)) $ t $ u) = |
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221 |
l $ expand t $ exp (Term.range_type T) u |
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222 |
| expand ((l as Const (@{const_name Let}, T)) $ t) = exp2 T (l $ expand t) |
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223 |
| expand (l as Const (@{const_name Let}, T)) = exp2' T l |
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224 |
| expand (Abs a) = abs_expand a |
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225 |
| expand t = |
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226 |
(case Term.strip_comb t of |
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227 |
(u as Const (@{const_name If}, T), ts) => expf u 3 T (map expand ts) |
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228 |
| (u as Var ((_, i), T), ts) => expf u i T (map expand ts) |
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229 |
| (u, ts) => Term.list_comb (u, map expand ts)) |
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230 |
|
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231 |
and abs_expand (n, T, t) = Abs (n, T, expand t) |
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232 |
in |
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233 |
|
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234 |
val eta_expand = map expand |
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235 |
|
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236 |
end |
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237 |
|
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238 |
|
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239 |
(** lambda-lifting **) |
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240 |
|
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241 |
local |
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242 |
fun mk_def Ts T lhs rhs = |
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243 |
let |
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244 |
val eq = HOLogic.eq_const T $ lhs $ rhs |
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245 |
val trigger = |
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246 |
[[Const (@{const_name SMT.pat}, T --> @{typ SMT.pattern}) $ lhs]] |
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247 |
|> map (HOLogic.mk_list @{typ SMT.pattern}) |
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248 |
|> HOLogic.mk_list @{typ "SMT.pattern list"} |
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249 |
fun mk_all T t = HOLogic.all_const T $ Abs (Name.uu, T, t) |
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250 |
in fold mk_all Ts (@{const SMT.trigger} $ trigger $ eq) end |
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251 |
|
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252 |
fun replace_lambda Us Ts t (cx as (defs, ctxt)) = |
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253 |
let |
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val T = Term.fastype_of1 (Us @ Ts, t) |
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val lev = length Us |
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val bs = sort int_ord (Term.add_loose_bnos (t, lev, [])) |
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val bss = map_index (fn (i, j) => (j + lev, i + lev)) bs |
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val norm = perhaps (AList.lookup (op =) bss) |
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val t' = Term.map_aterms (fn Bound i => Bound (norm i) | t => t) t |
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val Ts' = map (nth Ts) bs |
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|
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fun mk_abs U u = Abs (Name.uu, U, u) |
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val abs_rhs = fold mk_abs Ts' (fold mk_abs Us t') |
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|
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fun app f = Term.list_comb (f, map Bound bs) |
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266 |
in |
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(case Termtab.lookup defs abs_rhs of |
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SOME (f, _) => (app f, cx) |
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| NONE => |
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270 |
let |
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val (n, ctxt') = |
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yield_singleton Variable.variant_fixes Name.uu ctxt |
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val f = Free (n, rev Ts' ---> (rev Us ---> T)) |
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fun mk_bapp i t = t $ Bound i |
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val lhs = |
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276 |
f |
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277 |
|> fold_rev (mk_bapp o snd) bss |
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|> fold_rev mk_bapp (0 upto (length Us - 1)) |
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val def = mk_def (Us @ Ts') T lhs t' |
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in (app f, (Termtab.update (abs_rhs, (f, def)) defs, ctxt')) end) |
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281 |
end |
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|
282 |
|
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283 |
fun dest_abs Ts (Abs (_, T, t)) = dest_abs (T :: Ts) t |
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|
284 |
| dest_abs Ts t = (Ts, t) |
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|
285 |
|
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|
286 |
fun traverse Ts t = |
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287 |
(case t of |
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(q as Const (@{const_name All}, _)) $ Abs a => |
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289 |
abs_traverse Ts a #>> (fn a' => q $ Abs a') |
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290 |
| (q as Const (@{const_name Ex}, _)) $ Abs a => |
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|
291 |
abs_traverse Ts a #>> (fn a' => q $ Abs a') |
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292 |
| (l as Const (@{const_name Let}, _)) $ u $ Abs a => |
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293 |
traverse Ts u ##>> abs_traverse Ts a #>> |
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294 |
(fn (u', a') => l $ u' $ Abs a') |
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295 |
| Abs _ => |
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296 |
let val (Us, u) = dest_abs [] t |
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297 |
in traverse (Us @ Ts) u #-> replace_lambda Us Ts end |
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298 |
| u1 $ u2 => traverse Ts u1 ##>> traverse Ts u2 #>> (op $) |
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299 |
| _ => pair t) |
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300 |
|
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301 |
and abs_traverse Ts (n, T, t) = traverse (T::Ts) t #>> (fn t' => (n, T, t')) |
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|
302 |
in |
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|
303 |
|
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|
304 |
fun lift_lambdas ctxt ts = |
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|
305 |
(Termtab.empty, ctxt) |
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306 |
|> fold_map (traverse []) ts |
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|
307 |
|> (fn (us, (defs, ctxt')) => |
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|
308 |
(ctxt', Termtab.fold (cons o snd o snd) defs us)) |
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|
309 |
|
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|
310 |
end |
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|
311 |
|
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|
312 |
|
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|
313 |
(** introduce explicit applications **) |
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|
314 |
|
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|
315 |
local |
2ea84c8535c6
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|
316 |
(* |
2ea84c8535c6
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|
317 |
Make application explicit for functions with varying number of arguments. |
2ea84c8535c6
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|
318 |
*) |
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|
319 |
|
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|
320 |
fun add t ts = |
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|
321 |
Termtab.map_default (t, []) (Ord_List.insert int_ord (length ts)) |
2ea84c8535c6
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|
322 |
|
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|
323 |
fun collect t = |
2ea84c8535c6
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|
324 |
(case Term.strip_comb t of |
2ea84c8535c6
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|
325 |
(u as Const _, ts) => add u ts #> fold collect ts |
2ea84c8535c6
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|
326 |
| (u as Free _, ts) => add u ts #> fold collect ts |
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|
327 |
| (Abs (_, _, u), ts) => collect u #> fold collect ts |
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|
328 |
| (_, ts) => fold collect ts) |
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|
329 |
|
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|
330 |
fun app ts (t, T) = |
2ea84c8535c6
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|
331 |
let val f = Const (@{const_name SMT.fun_app}, T --> T) |
2ea84c8535c6
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|
332 |
in (Term.list_comb (f $ t, ts), snd (U.dest_funT (length ts) T)) end |
2ea84c8535c6
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|
333 |
|
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|
334 |
fun appl _ _ [] = fst |
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|
335 |
| appl _ [] ts = fst o app ts |
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|
336 |
| appl i (k :: ks) ts = |
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|
337 |
let val (ts1, ts2) = chop (k - i) ts |
2ea84c8535c6
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|
338 |
in appl k ks ts2 o app ts1 end |
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|
339 |
|
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|
340 |
fun appl0 [_] ts (t, _) = Term.list_comb (t, ts) |
2ea84c8535c6
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|
341 |
| appl0 (0 :: ks) ts tT = appl 0 ks ts tT |
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|
342 |
| appl0 ks ts tT = appl 0 ks ts tT |
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|
343 |
|
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|
344 |
fun apply terms T t ts = appl0 (Termtab.lookup_list terms t) ts (t, T) |
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|
345 |
|
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|
346 |
fun get_arities i t = |
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347 |
(case Term.strip_comb t of |
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348 |
(Bound j, ts) => |
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|
349 |
(if i = j then Ord_List.insert int_ord (length ts) else I) #> |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
350 |
fold (get_arities i) ts |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
351 |
| (Abs (_, _, u), ts) => get_arities (i+1) u #> fold (get_arities i) ts |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
352 |
| (_, ts) => fold (get_arities i) ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
353 |
in |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
354 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
355 |
fun intro_explicit_application ts = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
356 |
let |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
357 |
val terms = fold collect ts Termtab.empty |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
358 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
359 |
fun traverse (env as (arities, Ts)) t = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
360 |
(case Term.strip_comb t of |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
361 |
(u as Const (_, T), ts) => apply terms T u (map (traverse env) ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
362 |
| (u as Free (_, T), ts) => apply terms T u (map (traverse env) ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
363 |
| (u as Bound i, ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
364 |
appl0 (nth arities i) (map (traverse env) ts) (u, nth Ts i) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
365 |
| (Abs (n, T, u), ts) => |
41196
d23af676f9f8
fixed introduction of explicit application function: bound variables always need explicit application if they are applied to some term
boehmes
parents:
41195
diff
changeset
|
366 |
let val env' = (get_arities 0 u [0] :: arities, T :: Ts) |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
367 |
in traverses env (Abs (n, T, traverse env' u)) ts end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
368 |
| (u, ts) => traverses env u ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
369 |
and traverses env t ts = Term.list_comb (t, map (traverse env) ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
370 |
in map (traverse ([], [])) ts end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
371 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
372 |
val fun_app_eq = mk_meta_eq @{thm SMT.fun_app_def} |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
373 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
374 |
end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
375 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
376 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
377 |
(** map HOL formulas to FOL formulas (i.e., separate formulas froms terms) **) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
378 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
379 |
val tboolT = @{typ SMT.term_bool} |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
380 |
val term_true = Const (@{const_name True}, tboolT) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
381 |
val term_false = Const (@{const_name False}, tboolT) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
382 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
383 |
val term_bool = @{lemma "True ~= False" by simp} |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
384 |
val term_bool_prop = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
385 |
let |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
386 |
fun replace @{const HOL.eq (bool)} = @{const HOL.eq (SMT.term_bool)} |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
387 |
| replace @{const True} = term_true |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
388 |
| replace @{const False} = term_false |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
389 |
| replace t = t |
41172
a17c2d669c40
the functions term_of and prop_of are also needed in earlier stages, not only for Z3 proof reconstruction, so they really belong in SMT_Utils
boehmes
parents:
41165
diff
changeset
|
390 |
in Term.map_aterms replace (U.prop_of term_bool) end |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
391 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
392 |
val fol_rules = [ |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
393 |
Let_def, |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
394 |
@{lemma "P = True == P" by (rule eq_reflection) simp}, |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
395 |
@{lemma "if P then True else False == P" by (rule eq_reflection) simp}] |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
396 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
397 |
fun reduce_let (Const (@{const_name Let}, _) $ t $ u) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
398 |
reduce_let (Term.betapply (u, t)) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
399 |
| reduce_let (t $ u) = reduce_let t $ reduce_let u |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
400 |
| reduce_let (Abs (n, T, t)) = Abs (n, T, reduce_let t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
401 |
| reduce_let t = t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
402 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
403 |
fun is_pred_type NONE = false |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
404 |
| is_pred_type (SOME T) = (Term.body_type T = @{typ bool}) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
405 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
406 |
fun is_conn_type NONE = false |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
407 |
| is_conn_type (SOME T) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
408 |
forall (equal @{typ bool}) (Term.body_type T :: Term.binder_types T) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
409 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
410 |
fun revert_typ @{typ SMT.term_bool} = @{typ bool} |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
411 |
| revert_typ (Type (n, Ts)) = Type (n, map revert_typ Ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
412 |
| revert_typ T = T |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
413 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
414 |
val revert_types = Term.map_types revert_typ |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
415 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
416 |
fun folify ctxt builtins = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
417 |
let |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
418 |
fun as_term t = @{const HOL.eq (SMT.term_bool)} $ t $ term_true |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
419 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
420 |
fun as_tbool @{typ bool} = tboolT |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
421 |
| as_tbool (Type (n, Ts)) = Type (n, map as_tbool Ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
422 |
| as_tbool T = T |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
423 |
fun mapTs f g i = U.dest_funT i #> (fn (Ts, T) => map f Ts ---> g T) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
424 |
fun predT i = mapTs as_tbool I i |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
425 |
fun funcT i = mapTs as_tbool as_tbool i |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
426 |
fun func i (n, T) = (n, funcT i T) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
427 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
428 |
fun map_ifT T = T |> Term.dest_funT ||> funcT 2 |> (op -->) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
429 |
val if_term = @{const If (bool)} |> Term.dest_Const ||> map_ifT |> Const |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
430 |
fun wrap_in_if t = if_term $ t $ term_true $ term_false |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
431 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
432 |
fun in_list T f t = HOLogic.mk_list T (map f (HOLogic.dest_list t)) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
433 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
434 |
fun in_term t = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
435 |
(case Term.strip_comb t of |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
436 |
(Const (n as @{const_name If}, T), [t1, t2, t3]) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
437 |
Const (n, map_ifT T) $ in_form t1 $ in_term t2 $ in_term t3 |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
438 |
| (Const (@{const_name HOL.eq}, _), _) => wrap_in_if (in_form t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
439 |
| (Var (ni as (_, i), T), ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
440 |
let val U = Vartab.lookup builtins ni |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
441 |
in |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
442 |
if is_conn_type U orelse is_pred_type U then wrap_in_if (in_form t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
443 |
else Term.list_comb (Var (ni, funcT i T), map in_term ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
444 |
end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
445 |
| (Const c, ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
446 |
Term.list_comb (Const (func (length ts) c), map in_term ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
447 |
| (Free c, ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
448 |
Term.list_comb (Free (func (length ts) c), map in_term ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
449 |
| _ => t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
450 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
451 |
and in_weight ((c as @{const SMT.weight}) $ w $ t) = c $ w $ in_form t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
452 |
| in_weight t = in_form t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
453 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
454 |
and in_pat (Const (c as (@{const_name pat}, _)) $ t) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
455 |
Const (func 1 c) $ in_term t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
456 |
| in_pat (Const (c as (@{const_name nopat}, _)) $ t) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
457 |
Const (func 1 c) $ in_term t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
458 |
| in_pat t = raise TERM ("bad pattern", [t]) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
459 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
460 |
and in_pats ps = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
461 |
in_list @{typ "pattern list"} (in_list @{typ pattern} in_pat) ps |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
462 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
463 |
and in_trig ((c as @{const trigger}) $ p $ t) = c $ in_pats p $ in_weight t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
464 |
| in_trig t = in_weight t |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
465 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
466 |
and in_form t = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
467 |
(case Term.strip_comb t of |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
468 |
(q as Const (qn, _), [Abs (n, T, u)]) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
469 |
if member (op =) [@{const_name All}, @{const_name Ex}] qn then |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
470 |
q $ Abs (n, as_tbool T, in_trig u) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
471 |
else as_term (in_term t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
472 |
| (u as Const (@{const_name If}, _), ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
473 |
Term.list_comb (u, map in_form ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
474 |
| (b as @{const HOL.eq (bool)}, ts) => Term.list_comb (b, map in_form ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
475 |
| (Const (n as @{const_name HOL.eq}, T), ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
476 |
Term.list_comb (Const (n, predT 2 T), map in_term ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
477 |
| (b as Var (ni as (_, i), T), ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
478 |
if is_conn_type (Vartab.lookup builtins ni) then |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
479 |
Term.list_comb (b, map in_form ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
480 |
else if is_pred_type (Vartab.lookup builtins ni) then |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
481 |
Term.list_comb (Var (ni, predT i T), map in_term ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
482 |
else as_term (in_term t) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
483 |
| _ => as_term (in_term t)) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
484 |
in |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
485 |
map (reduce_let #> in_form) #> |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
486 |
cons (mark_builtins' ctxt term_bool_prop) #> |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
487 |
pair (fol_rules, [term_bool]) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
488 |
end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
489 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
490 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
491 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
492 |
(* translation into intermediate format *) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
493 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
494 |
(** utility functions **) |
36898 | 495 |
|
496 |
val quantifier = (fn |
|
497 |
@{const_name All} => SOME SForall |
|
498 |
| @{const_name Ex} => SOME SExists |
|
499 |
| _ => NONE) |
|
500 |
||
501 |
fun group_quant qname Ts (t as Const (q, _) $ Abs (_, T, u)) = |
|
502 |
if q = qname then group_quant qname (T :: Ts) u else (Ts, t) |
|
503 |
| group_quant _ Ts t = (Ts, t) |
|
504 |
||
40664 | 505 |
fun dest_weight (@{const SMT.weight} $ w $ t) = |
41173
7c6178d45cc8
fixed checking and translation of weights (previously, weights occurring in terms were rejected, and weight numbers were unintended translated into Vars)
boehmes
parents:
41172
diff
changeset
|
506 |
(SOME (snd (HOLogic.dest_number w)), t) |
40664 | 507 |
| dest_weight t = (NONE, t) |
508 |
||
37124 | 509 |
fun dest_pat (Const (@{const_name pat}, _) $ t) = (t, true) |
510 |
| dest_pat (Const (@{const_name nopat}, _) $ t) = (t, false) |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
511 |
| dest_pat t = raise TERM ("bad pattern", [t]) |
37124 | 512 |
|
513 |
fun dest_pats [] = I |
|
514 |
| dest_pats ts = |
|
515 |
(case map dest_pat ts |> split_list ||> distinct (op =) of |
|
516 |
(ps, [true]) => cons (SPat ps) |
|
517 |
| (ps, [false]) => cons (SNoPat ps) |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
518 |
| _ => raise TERM ("bad multi-pattern", ts)) |
36898 | 519 |
|
40579
98ebd2300823
use the const antiquotation for constants (this checks that the constant is declared, whereas the more general term antiquotation treats undeclared names as free variable)
boehmes
parents:
40274
diff
changeset
|
520 |
fun dest_trigger (@{const trigger} $ tl $ t) = |
37124 | 521 |
(rev (fold (dest_pats o HOLogic.dest_list) (HOLogic.dest_list tl) []), t) |
36898 | 522 |
| dest_trigger t = ([], t) |
523 |
||
524 |
fun dest_quant qn T t = quantifier qn |> Option.map (fn q => |
|
525 |
let |
|
526 |
val (Ts, u) = group_quant qn [T] t |
|
40664 | 527 |
val (ps, p) = dest_trigger u |
528 |
val (w, b) = dest_weight p |
|
529 |
in (q, rev Ts, ps, w, b) end) |
|
36898 | 530 |
|
531 |
fun fold_map_pat f (SPat ts) = fold_map f ts #>> SPat |
|
532 |
| fold_map_pat f (SNoPat ts) = fold_map f ts #>> SNoPat |
|
533 |
||
534 |
||
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
535 |
(** translation from Isabelle terms into SMT intermediate terms **) |
36898 | 536 |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
537 |
fun intermediate header dtyps ctxt ts trx = |
41059
d2b1fc1b8e19
centralized handling of built-in types and constants;
boehmes
parents:
41057
diff
changeset
|
538 |
let |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
539 |
fun transT (T as TFree _) = add_typ T true |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
540 |
| transT (T as TVar _) = (fn _ => raise TYPE ("bad SMT type", [T], [])) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
541 |
| transT (T as Type _) = |
41059
d2b1fc1b8e19
centralized handling of built-in types and constants;
boehmes
parents:
41057
diff
changeset
|
542 |
(case B.builtin_typ ctxt T of |
39298
5aefb5bc8a93
added preliminary support for SMT datatypes (for now restricted to tuples and lists); only the Z3 interface (in oracle mode) makes use of it, there is especially no Z3 proof reconstruction support for datatypes yet
boehmes
parents:
37124
diff
changeset
|
543 |
SOME n => pair n |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
544 |
| NONE => add_typ T true) |
36898 | 545 |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
546 |
val unmarked_builtins = [@{const_name If}, @{const_name HOL.eq}] |
36898 | 547 |
|
548 |
fun app n ts = SApp (n, ts) |
|
549 |
||
550 |
fun trans t = |
|
551 |
(case Term.strip_comb t of |
|
552 |
(Const (qn, _), [Abs (_, T, t1)]) => |
|
553 |
(case dest_quant qn T t1 of |
|
40664 | 554 |
SOME (q, Ts, ps, w, b) => |
36898 | 555 |
fold_map transT Ts ##>> fold_map (fold_map_pat trans) ps ##>> |
40664 | 556 |
trans b #>> (fn ((Ts', ps'), b') => SQua (q, Ts', ps', w, b')) |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
557 |
| NONE => raise TERM ("unsupported quantifier", [t])) |
36898 | 558 |
| (Const (@{const_name Let}, _), [t1, Abs (_, T, t2)]) => |
559 |
transT T ##>> trans t1 ##>> trans t2 #>> |
|
560 |
(fn ((U, u1), u2) => SLet (U, u1, u2)) |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
561 |
| (Var ((n, _), _), ts) => fold_map trans ts #>> app n |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
562 |
| (u as Const (c as (n, T)), ts) => |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
563 |
if member (op =) unmarked_builtins n then |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
564 |
(case B.builtin_fun ctxt c ts of |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
565 |
SOME (((m, _), _), us, _) => fold_map trans us #>> app m |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
566 |
| NONE => raise TERM ("not a built-in symbol", [t])) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
567 |
else transs u T ts |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
568 |
| (u as Free (_, T), ts) => transs u T ts |
36898 | 569 |
| (Bound i, []) => pair (SVar i) |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
570 |
| _ => raise TERM ("bad SMT term", [t])) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
571 |
|
36898 | 572 |
and transs t T ts = |
40663 | 573 |
let val (Us, U) = U.dest_funT (length ts) T |
36898 | 574 |
in |
575 |
fold_map transT Us ##>> transT U #-> (fn Up => |
|
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
576 |
add_fun t (SOME Up) ##>> fold_map trans ts #>> SApp) |
36898 | 577 |
end |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
578 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
579 |
val (us, trx') = fold_map trans ts trx |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
580 |
in ((sign_of (header ts) dtyps trx', us), trx') end |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
581 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
582 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
583 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
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diff
changeset
|
584 |
(* translation *) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
585 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
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diff
changeset
|
586 |
structure Configs = Generic_Data |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
587 |
( |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
588 |
type T = (Proof.context -> config) U.dict |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
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diff
changeset
|
589 |
val empty = [] |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
590 |
val extend = I |
41224 | 591 |
fun merge data = U.dict_merge fst data |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
592 |
) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
593 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
594 |
fun add_config (cs, cfg) = Configs.map (U.dict_update (cs, cfg)) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
595 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
596 |
fun translate ctxt comments ithms = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
597 |
let |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
598 |
val cs = SMT_Config.solver_class_of ctxt |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
599 |
val {prefixes, is_fol, header, has_datatypes, serialize} = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
600 |
(case U.dict_get (Configs.get (Context.Proof ctxt)) cs of |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
601 |
SOME cfg => cfg ctxt |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
602 |
| NONE => error ("SMT: no translation configuration found " ^ |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
603 |
"for solver class " ^ quote (U.string_of_class cs))) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
604 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
605 |
val with_datatypes = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
606 |
has_datatypes andalso Config.get ctxt SMT_Config.datatypes |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
607 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
608 |
fun no_dtyps (tr_context, ctxt) ts = (([], tr_context, ctxt), ts) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
609 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
610 |
val (builtins, ts1) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
611 |
ithms |
41172
a17c2d669c40
the functions term_of and prop_of are also needed in earlier stages, not only for Z3 proof reconstruction, so they really belong in SMT_Utils
boehmes
parents:
41165
diff
changeset
|
612 |
|> map (Envir.beta_eta_contract o U.prop_of o snd) |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
613 |
|> mark_builtins ctxt |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
614 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
615 |
val ((dtyps, tr_context, ctxt1), ts2) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
616 |
((make_tr_context prefixes, ctxt), ts1) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
617 |
|-> (if with_datatypes then collect_datatypes_and_records else no_dtyps) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
618 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
619 |
val (ctxt2, ts3) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
620 |
ts2 |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
621 |
|> eta_expand |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
622 |
|> lift_lambdas ctxt1 |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
623 |
||> intro_explicit_application |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
624 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
625 |
val ((rewrite_rules, extra_thms), ts4) = |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
626 |
(if is_fol then folify ctxt2 builtins else pair ([], [])) ts3 |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
627 |
|
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
628 |
val rewrite_rules' = fun_app_eq :: rewrite_rules |
36898 | 629 |
in |
41127
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
630 |
(ts4, tr_context) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
631 |
|-> intermediate header dtyps ctxt2 |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
632 |
|>> uncurry (serialize comments) |
2ea84c8535c6
re-implemented eta-expansion, lambda-lifting, and explicit application on terms (exploiting the control over the term structure);
boehmes
parents:
41123
diff
changeset
|
633 |
||> recon_of ctxt2 rewrite_rules' extra_thms ithms revert_typ revert_types |
36898 | 634 |
end |
635 |
||
636 |
end |