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(* title: ProgLang/Prog_Expr.thy
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functions for expressions (which do NOT contain Prog_Tac and Tactical, by definition))
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author: Walther Neuper, Aug.2019
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(c) copyright due to lincense terms.
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*)
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theory Prog_Expr
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imports Calculate ListC Program
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begin
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text \<open>Abstract:
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Specific constants are defined for pre-conditions of programs and for program-expressions.
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The constants are connected with ML functions for evaluation of respective expressions
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(all named eval_*), such that Isac's rewrite engine can handle it.
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\<close>
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subsection \<open>consts of functions in pre-conditions and program-expressions\<close>
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consts
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lhs :: "bool => real" (*of an equality*)
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rhs :: "bool => real" (*of an equality*)
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Vars :: "'a => real list" (*get the variables of a term *)
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matches :: "['a, 'a] => bool"
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matchsub :: "['a, 'a] => bool"
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some_occur_in :: "[real list, 'a] => bool" ("some'_of _ occur'_in _")
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occurs_in :: "[real , 'a] => bool" ("_ occurs'_in _")
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abs :: "real => real" ("(|| _ ||)")
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(* ~~~ FIXXXME Isabelle2002 has abs already !!!*)
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absset :: "real set => real" ("(||| _ |||)")
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is_atom :: "real => bool" ("_ is'_atom" 10)
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is_num :: "real => bool" ("_ is'_num" 10)
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is_even :: "real => bool" ("_ is'_even" 10)
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(* identity on term level*)
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ident :: "['a, 'a] => bool" ("(_ =!=/ _)" [51, 51] 50)
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argument_in :: "real => real" ("argument'_in _" 10)
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sameFunId :: "[real, bool] => bool" (* "same_funid _ _" 10
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WN0609 changed the id, because ".. _ _" inhibits currying *)
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filter_sameFunId:: "[real, bool list] => bool list" ("filter'_sameFunId _ _" 10)
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boollist2sum :: "bool list => real"
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lastI :: "'a list \<Rightarrow> 'a"
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subsection \<open>ML code for functions in pre-conditions and program-expressions\<close>
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ML \<open>
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signature PROG_EXPR =
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sig
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val eval_lhs: 'a -> string -> term -> 'b -> (string * term) option
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val eval_matches: string -> string -> term -> Proof.context -> (string * term) option
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val matchsub: theory -> term -> term -> bool
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val eval_matchsub: string -> string -> term -> Proof.context -> (string * term) option
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val eval_rhs: 'a -> string -> term -> 'b -> (string * term) option
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val eval_var: string -> string -> term -> Proof.context -> (string * term) option
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val or2list: term -> term
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val occurs_in: term -> term -> bool
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val eval_occurs_in: 'a -> string -> term -> 'b -> (string * term) option
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val some_occur_in: term list -> term -> bool
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val eval_some_occur_in: 'a -> string -> term -> 'b -> (string * term) option
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val eval_is_atom: string -> string -> term -> 'a -> (string * term) option
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val eval_is_num: string -> string -> term -> 'a -> (string * term) option
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val even: int -> bool
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val eval_is_even: string -> string -> term -> 'a -> (string * term) option
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val eval_equ: string -> string -> term -> 'a -> (string * term) option
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val eval_ident: string -> string -> term -> Proof.context -> (string * term) option
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val eval_equal: string -> string -> term -> Proof.context -> (string * term) option
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val eval_cancel: string -> string -> term -> 'a -> (string * term) option
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val eval_argument_in: string -> string -> term -> 'a -> (string * term) option
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val same_funid: term -> term -> bool
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val eval_sameFunId: string -> string -> term -> 'a -> (string * term) option
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val eval_filter_sameFunId: string -> string -> term -> 'a -> (string * term) option
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val list2sum: term list -> term
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val eval_boollist2sum: string -> string -> term -> 'a -> (string * term) option
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val mk_thmid_f: string -> (int * int) * (int * int) -> (int * int) * (int * int) -> string
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end
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(**)
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structure Prog_Expr(**): PROG_EXPR(**) =
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struct
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(**)
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(*+ for Or_to_List +*)
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fun or2list (Const (\<^const_name>\<open>True\<close>,_)) = ((*tracing"### or2list True";*) UniversalList)
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| or2list (Const (\<^const_name>\<open>False\<close>,_)) = ((*tracing"### or2list False";*) EmptyList)
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| or2list (t as Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ _) = TermC.list2isalist HOLogic.boolT [t]
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| or2list ors =
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let
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fun get ls (Const (\<^const_name>\<open>disj\<close>,_) $ o1 $ o2) =
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(case o2 of
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Const (\<^const_name>\<open>disj\<close>,_) $ _ $ _ => get (ls @ [o1]) o2
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| _ => ls @ [o1, o2])
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| get _ t = raise TERM ("or2list: missing pattern in fun.def", [t])
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in (((TermC.list2isalist HOLogic.boolT) o (get [])) ors) end
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(** evaluation on the meta-level **)
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(*. evaluate the predicate matches (match on whole term only) .*)
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(*("matches",("Prog_Expr.matches", eval_matches "#matches_")):calc*)
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fun eval_matches (_:string) "Prog_Expr.matches"
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(t as Const (\<^const_name>\<open>Prog_Expr.matches\<close>, _) $ pat $ tst) ctxt =
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if TermC.matches (Proof_Context.theory_of ctxt) tst pat
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then
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let
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val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True}))
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in SOME (UnparseC.term_in_ctxt ctxt prop, prop) end
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else
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let
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val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False}))
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in SOME (UnparseC.term_in_ctxt ctxt prop, prop) end
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| eval_matches _ _ _ _ = NONE;
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(*.does a pattern match some subterm ?.*)
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fun matchsub thy t pat =
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let
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fun matchs (t as Const _) = TermC.matches thy t pat
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| matchs (t as Free _) = TermC.matches thy t pat
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| matchs (t as Var _) = TermC.matches thy t pat
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| matchs (Bound _) = false
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| matchs (t as Abs (_, _, body)) =
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if TermC.matches thy t pat then true else TermC.matches thy body pat
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| matchs (t as f1 $ f2) =
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if TermC.matches thy t pat then true
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else if matchs f1 then true else matchs f2
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in matchs t end;
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(*("matchsub",("Prog_Expr.matchsub", eval_matchsub "#matchsub_")):calc*)
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fun eval_matchsub (_:string) "Prog_Expr.matchsub"
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(t as Const (\<^const_name>\<open>Prog_Expr.matchsub\<close>, _) $ pat $ tst) ctxt =
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if matchsub (Proof_Context.theory_of ctxt) tst pat
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then
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let val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True}))
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in SOME (UnparseC.term_in_ctxt ctxt prop, prop) end
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else
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let val prop = HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False}))
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in SOME (UnparseC.term_in_ctxt ctxt prop, prop) end
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| eval_matchsub _ _ _ _ = NONE;
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(*get the variables in an isabelle-term*)
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(*("Vars" ,("Prog_Expr.Vars" , eval_var "#Vars_")):calc*)
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fun eval_var (thmid:string) "Prog_Expr.Vars" (t as (Const _ $ arg)) ctxt =
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let
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val t' = ((TermC.list2isalist HOLogic.realT) o TermC.vars) t;
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val thmId = thmid ^ UnparseC.term_in_ctxt ctxt arg;
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in SOME (thmId, HOLogic.Trueprop $ (TermC.mk_equality (t, t'))) end
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| eval_var _ _ _ _ = NONE;
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(*("lhs" ,("Prog_Expr.lhs" , eval_lhs "")):calc*)
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fun eval_lhs _ "Prog_Expr.lhs" (t as (Const (\<^const_name>\<open>lhs\<close>,_) $ (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ l $ _))) _ =
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SOME ((UnparseC.term t) ^ " = " ^ (UnparseC.term l),
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HOLogic.Trueprop $ (TermC.mk_equality (t, l)))
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| eval_lhs _ _ _ _ = NONE;
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fun rhs (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ r) = r
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| rhs t = raise ERROR("rhs called with (" ^ UnparseC.term t ^ ")");
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(*("rhs" ,("Prog_Expr.rhs" , eval_rhs "")):calc*)
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fun eval_rhs _ "Prog_Expr.rhs" (t as (Const (\<^const_name>\<open>rhs\<close>,_) $ (Const (\<^const_name>\<open>HOL.eq\<close>,_) $ _ $ r))) _ =
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SOME (UnparseC.term t ^ " = " ^ UnparseC.term r,
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HOLogic.Trueprop $ (TermC.mk_equality (t, r)))
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| eval_rhs _ _ _ _ = NONE;
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fun occurs_in v t = member op = (((map strip_thy) o TermC.ids2str) t) (Term.term_name v);
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(*("occurs_in", ("Prog_Expr.occurs_in", Prog_Expr.eval_occurs_in ""))*)
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fun eval_occurs_in _ "Prog_Expr.occurs_in" (p as (Const (\<^const_name>\<open>occurs_in\<close>, _) $ v $ t)) _ =
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((*tracing("#>@ eval_occurs_in: v= "^(UnparseC.term v));
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tracing("#>@ eval_occurs_in: t= "^(UnparseC.term t));*)
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if occurs_in v t
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then SOME ((UnparseC.term p) ^ " = True",
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HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
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else SOME ((UnparseC.term p) ^ " = False",
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HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False}))))
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| eval_occurs_in _ _ _ _ = NONE;
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(*some of the (bound) variables (eg. in an eqsys) "vs" occur in term "t"*)
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fun some_occur_in vs t =
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let fun occurs_in' a b = occurs_in b a
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in foldl or_ (false, map (occurs_in' t) vs) end;
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(*("some_occur_in", ("Prog_Expr.some_occur_in",
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eval_some_occur_in "#eval_some_occur_in_"))*)
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fun eval_some_occur_in _ "Prog_Expr.some_occur_in"
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(p as (Const (\<^const_name>\<open>some_occur_in\<close>,_) $ vs $ t)) _ =
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if some_occur_in (TermC.isalist2list vs) t
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then SOME ((UnparseC.term p) ^ " = True",
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HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
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else SOME ((UnparseC.term p) ^ " = False",
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HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False})))
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| eval_some_occur_in _ _ _ _ = NONE;
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(*("is_atom",("Prog_Expr.is_atom", Prog_Expr.eval_is_atom "#is_atom_"))*)
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walther@60320
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fun eval_is_atom (thmid:string) "Prog_Expr.is_atom" (t as (Const _ $ arg)) _ =
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walther@60320
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if TermC.is_atom arg
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then SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
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else SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
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| eval_is_atom _ _ _ _ = NONE;
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(*("is_num",("Prog_Expr.is_num", Prog_Expr.eval_is_num "#is_num_"))*)
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fun eval_is_num (thmid:string) "Prog_Expr.is_num" (t as (Const _ $ arg)) _ =
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if TermC.is_num arg
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then SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
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else SOME (TermC.mk_thmid thmid (TermC.string_of_atom arg) "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
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| eval_is_num _ _ _ _ = NONE;
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fun even i = (i div 2) * 2 = i;
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(*("is_even",("Prog_Expr.is_even", eval_is_even "#is_even_"))*)
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fun eval_is_even (thmid:string) "Prog_Expr.is_even" (t as (Const _ $ arg)) _ =
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if TermC.is_num arg
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then
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let
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val i = arg |> HOLogic.dest_number |> snd
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in
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if even i
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then SOME (TermC.mk_thmid thmid (string_of_int i) "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
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else SOME (TermC.mk_thmid thmid "" "",
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HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
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end
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else NONE
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| eval_is_even _ _ _ _ = NONE;
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(*. evaluate binary, associative, commutative operators: *,+,^ .*)
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(*("PLUS" ,(\<^const_name>\<open>plus\<close> , (**)eval_binop "#add_")),
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wenzelm@60309
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("TIMES" ,(\<^const_name>\<open>times\<close> , (**)eval_binop "#mult_")),
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wenzelm@60405
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("POWER" ,(\<^const_name>\<open>realpow\<close> , (**)eval_binop "#power_"))*)
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(* val (thmid,op_,t as(Const (op0,t0) $ Free (n1,t1) $ Free(n2,t2)),thy) =
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("xxxxxx",op_,t,thy);
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*)
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fun mk_thmid_f thmid ((v11, v12), (p11, p12)) ((v21, v22), (p21, p22)) = (* dropped *)
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thmid ^ "Float ((" ^
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|
237 |
(string_of_int v11)^", "^(string_of_int v12)^"), ("^
|
walther@59997
|
238 |
(string_of_int p11)^", "^(string_of_int p12)^")) __ (("^
|
walther@59997
|
239 |
(string_of_int v21)^", "^(string_of_int v22)^"), ("^
|
walther@59997
|
240 |
(string_of_int p21)^", "^(string_of_int p22)^"))";
|
walther@59603
|
241 |
|
walther@59603
|
242 |
(*.evaluate < and <= for numerals.*)
|
wenzelm@60309
|
243 |
(*("le" ,(\<^const_name>\<open>less\<close> , Prog_Expr.eval_equ "#less_")),
|
wenzelm@60309
|
244 |
("leq" ,(\<^const_name>\<open>less_eq\<close> , Prog_Expr.eval_equ "#less_equal_"))*)
|
walther@60331
|
245 |
|
walther@60317
|
246 |
fun eval_equ (thmid:string) (_(*op_*)) (t as (Const (op0, _)) $ t1 $ t2) _ =
|
walther@60317
|
247 |
if TermC.is_num t1 andalso TermC.is_num t2 then
|
walther@60317
|
248 |
let
|
walther@60317
|
249 |
val n1 = t1 |> HOLogic.dest_number |> snd
|
walther@60317
|
250 |
val n2 = t2 |> HOLogic.dest_number |> snd
|
walther@60317
|
251 |
in
|
walther@60317
|
252 |
if Eval.calc_equ (strip_thy op0) (n1, n2)
|
walther@60317
|
253 |
then SOME (TermC.mk_thmid thmid (string_of_int n1) (string_of_int n2),
|
walther@60317
|
254 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
|
walther@60317
|
255 |
else SOME (TermC.mk_thmid thmid (string_of_int n1) (string_of_int n2),
|
walther@60317
|
256 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
|
walther@60317
|
257 |
end
|
walther@60317
|
258 |
else NONE
|
walther@59603
|
259 |
| eval_equ _ _ _ _ = NONE;
|
walther@59603
|
260 |
|
walther@59603
|
261 |
|
walther@59603
|
262 |
(*evaluate identity
|
walther@59603
|
263 |
> reflI;
|
walther@59603
|
264 |
val it = "(?t = ?t) = True"
|
walther@59603
|
265 |
> val t = str2term "x = 0";
|
Walther@60509
|
266 |
> val NONE = rewrite_ thy Rewrite_Ord.function_empty Rule_Set.empty false reflI t;
|
walther@59603
|
267 |
|
walther@59603
|
268 |
> val t = str2term "1 = 0";
|
Walther@60509
|
269 |
> val NONE = rewrite_ thy Rewrite_Ord.function_empty Rule_Set.empty false reflI t;
|
walther@59878
|
270 |
----------- thus needs Rule.Eval !
|
walther@59603
|
271 |
> val t = str2term "0 = 0";
|
Walther@60509
|
272 |
> val SOME (t',_) = rewrite_ thy Rewrite_Ord.function_empty Rule_Set.empty false reflI t;
|
walther@59868
|
273 |
> UnparseC.term t';
|
wenzelm@60309
|
274 |
val it = \<^const_name>\<open>True\<close>
|
walther@59603
|
275 |
|
walther@59603
|
276 |
val t = str2term "Not (x = 0)";
|
walther@59868
|
277 |
atomt t; UnparseC.term t;
|
walther@59603
|
278 |
*** -------------
|
walther@59603
|
279 |
*** Const ( Not)
|
walther@59603
|
280 |
*** . Const ( op =)
|
walther@59603
|
281 |
*** . . Free ( x, )
|
walther@59603
|
282 |
*** . . Free ( 0, )
|
walther@59603
|
283 |
val it = "x ~= 0" : string*)
|
walther@59603
|
284 |
|
walther@59603
|
285 |
(*.evaluate identity on the term-level, =!= ,i.e. without evaluation of
|
walther@59603
|
286 |
the arguments: thus special handling by 'fun eval_binop'*)
|
walther@59603
|
287 |
(*("ident" ,("Prog_Expr.ident", Prog_Expr.eval_ident "#ident_")):calc*)
|
walther@59603
|
288 |
fun eval_ident (thmid:string) "Prog_Expr.ident" (t as
|
Walther@60504
|
289 |
(Const _(*op0, t0*) $ t1 $ t2 )) ctxt =
|
walther@59603
|
290 |
if t1 = t2
|
walther@59603
|
291 |
then SOME (TermC.mk_thmid thmid
|
Walther@60504
|
292 |
("(" ^ (UnparseC.term_in_ctxt ctxt t1) ^ ")")
|
Walther@60504
|
293 |
("(" ^ (UnparseC.term_in_ctxt ctxt t2) ^ ")"),
|
walther@59603
|
294 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
|
walther@59603
|
295 |
else SOME (TermC.mk_thmid thmid
|
Walther@60504
|
296 |
("(" ^ (UnparseC.term_in_ctxt ctxt t1) ^ ")")
|
Walther@60504
|
297 |
("(" ^ (UnparseC.term_in_ctxt ctxt t2) ^ ")"),
|
walther@59603
|
298 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
|
walther@59603
|
299 |
| eval_ident _ _ _ _ = NONE;
|
walther@59603
|
300 |
(* TODO
|
walther@59603
|
301 |
> val t = str2term "x =!= 0";
|
walther@59603
|
302 |
> val SOME (str, t') = eval_ident "ident_" "b" t thy;
|
walther@59868
|
303 |
> UnparseC.term t';
|
walther@59603
|
304 |
val str = "ident_(x)_(0)" : string
|
walther@59603
|
305 |
val it = "(x =!= 0) = False" : string
|
walther@59603
|
306 |
> val t = str2term "1 =!= 0";
|
walther@59603
|
307 |
> val SOME (str, t') = eval_ident "ident_" "b" t thy;
|
walther@59868
|
308 |
> UnparseC.term t';
|
walther@59603
|
309 |
val str = "ident_(1)_(0)" : string
|
walther@59603
|
310 |
val it = "(1 =!= 0) = False" : string
|
walther@59603
|
311 |
> val t = str2term "0 =!= 0";
|
walther@59603
|
312 |
> val SOME (str, t') = eval_ident "ident_" "b" t thy;
|
walther@59868
|
313 |
> UnparseC.term t';
|
walther@59603
|
314 |
val str = "ident_(0)_(0)" : string
|
walther@59603
|
315 |
val it = "(0 =!= 0) = True" : string
|
walther@59603
|
316 |
*)
|
walther@59603
|
317 |
|
walther@59841
|
318 |
|
walther@59841
|
319 |
(* evaluate identity of terms, which stay ready for further evaluation;
|
walther@59841
|
320 |
thus returns False only for atoms *)
|
wenzelm@60309
|
321 |
(*("equal" ,(\<^const_name>\<open>HOL.eq\<close>, Prog_Expr.eval_equal "#equal_")):calc*)
|
Walther@60504
|
322 |
fun eval_equal (thmid : string) \<^const_name>\<open>HOL.eq\<close> (t as (Const _(*op0,t0*) $ t1 $ t2 )) ctxt =
|
walther@59603
|
323 |
if t1 = t2
|
walther@59841
|
324 |
then
|
walther@59841
|
325 |
SOME (TermC.mk_thmid thmid
|
Walther@60504
|
326 |
("(" ^ UnparseC.term_in_ctxt ctxt t1 ^ ")") ("(" ^ UnparseC.term_in_ctxt ctxt t2 ^ ")"),
|
walther@59841
|
327 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term True})))
|
walther@59841
|
328 |
else
|
walther@59841
|
329 |
(case (TermC.is_atom t1, TermC.is_atom t2) of
|
walther@59841
|
330 |
(true, true) =>
|
walther@59841
|
331 |
if TermC.variable_constant_pair (t1, t2)
|
walther@59841
|
332 |
then NONE
|
walther@59841
|
333 |
else SOME (TermC.mk_thmid thmid
|
Walther@60504
|
334 |
("(" ^ UnparseC.term_in_ctxt ctxt t1 ^ ")") ("(" ^ UnparseC.term_in_ctxt ctxt t2 ^ ")"),
|
walther@59841
|
335 |
HOLogic.Trueprop $ (TermC.mk_equality (t, @{term False})))
|
walther@59841
|
336 |
| _ => NONE) (* NOT is_atom t1,t2 --> rew_sub *)
|
walther@59841
|
337 |
| eval_equal _ _ _ _ = NONE; (* error-exit *)
|
walther@59603
|
338 |
|
walther@59603
|
339 |
(*. evaluate HOL.divide .*)
|
walther@59603
|
340 |
(*("DIVIDE" ,("Rings.divide_class.divide" , eval_cancel "#divide_e"))*)
|
walther@60317
|
341 |
fun eval_cancel thmid "Rings.divide_class.divide" (t as (Const _ $ t1 $ t2)) _ =
|
walther@60317
|
342 |
if TermC.is_num t1 andalso TermC.is_num t2 then
|
walther@60317
|
343 |
let
|
walther@60317
|
344 |
val (T, _) = HOLogic.dest_number t1;
|
walther@60317
|
345 |
val (i1, i2) = (Eval.int_of_numeral t1, Eval.int_of_numeral t2);
|
walther@60392
|
346 |
val res_int as (d, (i1', i2')) = Eval.cancel_int (i1, i2);
|
walther@60317
|
347 |
in
|
walther@60392
|
348 |
if abs d = 1 andalso (abs i1, abs i2) = (abs i1', abs i2') then NONE
|
walther@60317
|
349 |
else
|
walther@60317
|
350 |
let
|
walther@60317
|
351 |
val res = TermC.mk_frac T res_int;
|
walther@60317
|
352 |
val prop = HOLogic.Trueprop $ (HOLogic.mk_eq (t, res));
|
walther@60317
|
353 |
in SOME (TermC.mk_thmid thmid (string_of_int i1) (string_of_int i2), prop) end
|
walther@60317
|
354 |
end
|
walther@60317
|
355 |
else NONE
|
walther@59603
|
356 |
| eval_cancel _ _ _ _ = NONE;
|
walther@59603
|
357 |
|
walther@59603
|
358 |
(* get the argument from a function-definition *)
|
walther@60278
|
359 |
(*("argument_in" ,("Prog_Expr.argument_in", Prog_Expr.eval_argument_in "Prog_Expr.argument_in"))*)
|
walther@60278
|
360 |
fun eval_argument_in _ "Prog_Expr.argument_in"
|
walther@60278
|
361 |
(t as (Const ("Prog_Expr.argument_in", _) $ (_(*f*) $ arg))) _ =
|
walther@60396
|
362 |
if TermC.is_atom arg (*could be something to be simplified before*)
|
walther@59603
|
363 |
then
|
walther@59868
|
364 |
SOME (UnparseC.term t ^ " = " ^ UnparseC.term arg,
|
walther@59603
|
365 |
HOLogic.Trueprop $ (TermC.mk_equality (t, arg)))
|
walther@59603
|
366 |
else NONE
|
walther@59603
|
367 |
| eval_argument_in _ _ _ _ = NONE;
|
walther@59603
|
368 |
|
walther@59603
|
369 |
(* check if the function-identifier of the first argument matches
|
walther@59603
|
370 |
the function-identifier of the lhs of the second argument *)
|
walther@59603
|
371 |
(*("sameFunId" ,("Prog_Expr.sameFunId", eval_same_funid "Prog_Expr.sameFunId"))*)
|
walther@59603
|
372 |
fun eval_sameFunId _ "Prog_Expr.sameFunId"
|
wenzelm@60309
|
373 |
(p as Const ("Prog_Expr.sameFunId",_) $ (f1 $ _) $ (Const (\<^const_name>\<open>HOL.eq\<close>, _) $ (f2 $ _) $ _)) _ =
|
walther@59603
|
374 |
if f1 = f2
|
walther@59868
|
375 |
then SOME ((UnparseC.term p) ^ " = True",
|
walther@59603
|
376 |
HOLogic.Trueprop $ (TermC.mk_equality (p, @{term True})))
|
walther@59868
|
377 |
else SOME ((UnparseC.term p) ^ " = False",
|
walther@59603
|
378 |
HOLogic.Trueprop $ (TermC.mk_equality (p, @{term False})))
|
walther@59603
|
379 |
| eval_sameFunId _ _ _ _ = NONE;
|
walther@59603
|
380 |
|
walther@59603
|
381 |
|
walther@59603
|
382 |
(*.from a list of fun-definitions "f x = ..." as 2nd argument
|
walther@59603
|
383 |
filter the elements with the same fun-identfier in "f y"
|
walther@59603
|
384 |
as the fst argument;
|
walther@59603
|
385 |
this is, because Isabelles filter takes more than 1 sec.*)
|
wenzelm@60309
|
386 |
fun same_funid f1 (Const (\<^const_name>\<open>HOL.eq\<close>, _) $ (f2 $ _) $ _) = f1 = f2
|
walther@59962
|
387 |
| same_funid f1 t = raise ERROR ("same_funid called with t = ("
|
walther@59868
|
388 |
^ UnparseC.term f1 ^ ") (" ^ UnparseC.term t ^ ")");
|
walther@60278
|
389 |
(*("filter_sameFunId" ,("Prog_Expr.filter_sameFunId",
|
walther@60278
|
390 |
eval_filter_sameFunId "Prog_Expr.filter_sameFunId"))*)
|
walther@60278
|
391 |
fun eval_filter_sameFunId _ "Prog_Expr.filter_sameFunId"
|
walther@60278
|
392 |
(p as Const ("Prog_Expr.filter_sameFunId",_) $
|
walther@59603
|
393 |
(fid $ _) $ fs) _ =
|
walther@59603
|
394 |
let val fs' = ((TermC.list2isalist HOLogic.boolT) o
|
walther@59603
|
395 |
(filter (same_funid fid))) (TermC.isalist2list fs)
|
walther@59868
|
396 |
in SOME (UnparseC.term (TermC.mk_equality (p, fs')),
|
walther@59603
|
397 |
HOLogic.Trueprop $ (TermC.mk_equality (p, fs'))) end
|
walther@59603
|
398 |
| eval_filter_sameFunId _ _ _ _ = NONE;
|
walther@59603
|
399 |
|
walther@59603
|
400 |
(* make a list of terms to a sum *)
|
walther@59962
|
401 |
fun list2sum [] = raise ERROR ("list2sum called with []")
|
walther@59603
|
402 |
| list2sum [s] = s
|
walther@59603
|
403 |
| list2sum (s::ss) =
|
walther@59603
|
404 |
let
|
wenzelm@60309
|
405 |
fun sum su [s'] = Const (\<^const_name>\<open>plus\<close>,
|
walther@59603
|
406 |
[HOLogic.realT,HOLogic.realT] ---> HOLogic.realT) $ su $ s'
|
wenzelm@60309
|
407 |
| sum su (s'::ss') = sum (Const (\<^const_name>\<open>plus\<close>,
|
walther@59603
|
408 |
[HOLogic.realT,HOLogic.realT] ---> HOLogic.realT) $ su $ s') ss'
|
walther@59603
|
409 |
| sum _ _ = raise ERROR "list2sum: pattern in fun.def is missing"
|
walther@59603
|
410 |
in sum s ss end;
|
walther@59603
|
411 |
|
walther@59603
|
412 |
(* make a list of equalities to the sum of the lhs *)
|
walther@59603
|
413 |
(*("boollist2sum" ,("Prog_Expr.boollist2sum" , eval_boollist2sum "")):calc*)
|
walther@59603
|
414 |
fun eval_boollist2sum _ "Prog_Expr.boollist2sum"
|
wenzelm@60309
|
415 |
(p as Const ("Prog_Expr.boollist2sum", _) $ (l as Const (\<^const_name>\<open>Cons\<close>, _) $ _ $ _)) _ =
|
walther@59603
|
416 |
let
|
walther@59603
|
417 |
val isal = TermC.isalist2list l
|
walther@60391
|
418 |
val lhss = map TermC.lhs isal
|
walther@59603
|
419 |
val sum = list2sum lhss
|
walther@59603
|
420 |
in
|
walther@59868
|
421 |
SOME ((UnparseC.term p) ^ " = " ^ (UnparseC.term sum),
|
walther@59603
|
422 |
HOLogic.Trueprop $ (TermC.mk_equality (p, sum)))
|
walther@59603
|
423 |
end
|
walther@59603
|
424 |
| eval_boollist2sum _ _ _ _ = NONE;
|
walther@59603
|
425 |
|
walther@59603
|
426 |
(**) end (*struct*)
|
walther@59603
|
427 |
\<close> text \<open>
|
walther@59603
|
428 |
open Prog_Expr
|
walther@59603
|
429 |
\<close> ML \<open>
|
walther@59603
|
430 |
\<close> ML \<open>
|
walther@59603
|
431 |
\<close>
|
walther@59603
|
432 |
|
walther@59603
|
433 |
subsection \<open>extend rule-set for evaluating pre-conditions and program-expressions\<close>
|
walther@59603
|
434 |
ML \<open>
|
wenzelm@60294
|
435 |
val prog_expr = Rule_Set.append_rules "prog_expr" prog_expr [\<^rule_eval>\<open>Prog_Expr.rhs\<close> (Prog_Expr.eval_rhs "")];
|
walther@59603
|
436 |
\<close> ML \<open>
|
walther@59603
|
437 |
\<close> ML \<open>
|
walther@59603
|
438 |
\<close>
|
walther@59603
|
439 |
|
walther@59603
|
440 |
subsection \<open>setup for rule-sets and ML-functions\<close>
|
wenzelm@60286
|
441 |
|
wenzelm@60289
|
442 |
rule_set_knowledge prog_expr = prog_expr
|
wenzelm@60313
|
443 |
|
walther@60387
|
444 |
calculation lhs = \<open>Prog_Expr.eval_lhs ""\<close>
|
walther@60387
|
445 |
calculation rhs = \<open>Prog_Expr.eval_rhs ""\<close>
|
walther@60387
|
446 |
calculation Vars = \<open>Prog_Expr.eval_var "#Vars_"\<close>
|
wenzelm@60313
|
447 |
calculation matches = \<open>Prog_Expr.eval_matches "#matches_"\<close>
|
wenzelm@60313
|
448 |
calculation matchsub = \<open>Prog_Expr.eval_matchsub "#matchsub_"\<close>
|
walther@60387
|
449 |
|
walther@60387
|
450 |
calculation some_occur_in = \<open>Prog_Expr.eval_some_occur_in "#some_occur_in_"\<close>
|
walther@60387
|
451 |
calculation occurs_in = \<open>Prog_Expr.eval_occurs_in "#occurs_in_"\<close>
|
walther@60387
|
452 |
calculation is_atom = \<open>Prog_Expr.eval_is_atom "#is_atom_"\<close>
|
walther@60387
|
453 |
calculation is_num = \<open>Prog_Expr.eval_is_num "#is_num_"\<close>
|
walther@60387
|
454 |
calculation is_even = \<open>Prog_Expr.eval_is_even "#is_even_"\<close>
|
walther@59603
|
455 |
ML \<open>
|
walther@59603
|
456 |
\<close> ML \<open>
|
walther@59603
|
457 |
\<close> ML \<open>
|
walther@59603
|
458 |
\<close>
|
walther@59603
|
459 |
|
walther@60275
|
460 |
end
|