diff -r 69d815b0e1eb -r 21291189b51e Subst/unifier.ML --- a/Subst/unifier.ML Thu Feb 24 14:45:57 1994 +0100 +++ b/Subst/unifier.ML Wed Mar 02 12:26:55 1994 +0100 @@ -25,7 +25,7 @@ goal Unifier.thy "~v : vars_of(t) --> ~v : vars_of(u) -->Unifier(s,t,u) --> \ -\ Unifier(Cons(,s),t,u)"; +\ Unifier(#s,t,u)"; by (simp_tac (subst_ss addsimps [Unifier_iff,repl_invariance]) 1); val Cons_Unifier = result() RS mp RS mp RS mp; @@ -49,7 +49,7 @@ val MGU_iff = result(); val [prem] = goal Unifier.thy - "~ Var(v) <: t ==> MGUnifier(Cons(,Nil),Var(v),t)"; + "~ Var(v) <: t ==> MGUnifier(#Nil,Var(v),t)"; by (simp_tac (subst_ss addsimps [MGU_iff,MoreGen_iff,Unifier_iff]) 1); by (REPEAT_SOME (step_tac set_cs)); by (etac subst 1); @@ -85,7 +85,7 @@ by (simp_tac (subst_ss addsimps [raw_Idem_iff,refl RS subst_refl]) 1); val Idem_Nil = result(); -goal Unifier.thy "~ (Var(v) <: t) --> Idem(Cons(,Nil))"; +goal Unifier.thy "~ (Var(v) <: t) --> Idem(#Nil)"; by (simp_tac (subst_ss addsimps [Var_subst,vars_iff_occseq,Idem_iff,srange_iff] setloop (split_tac [expand_if])) 1); by (fast_tac set_cs 1); @@ -114,8 +114,8 @@ val prems = goal Unifier.thy "x : sdom(s) --> ~x : srange(s) --> \ -\ ~vars_of(Var(x) <| s<>Cons(,s)) = \ -\ vars_of(Var(x) <| Cons(,s))"; +\ ~vars_of(Var(x) <| s<> #s) = \ +\ vars_of(Var(x) <| #s)"; by (simp_tac (subst_ss addsimps [not_equal_iff]) 1); by (REPEAT (resolve_tac [impI,disjI2] 1)); by(res_inst_tac [("x","x")] exI 1); @@ -141,8 +141,8 @@ val prems = goal Unifier.thy "~w=x --> x : vars_of(Var(w) <| s) --> w : sdom(s) --> ~w : srange(s) --> \ -\ ~vars_of(Var(w) <| s<>Cons(,s)) = \ -\ vars_of(Var(w) <| Cons(,s))"; +\ ~vars_of(Var(w) <| s<> #s) = \ +\ vars_of(Var(w) <| #s)"; by (simp_tac (subst_ss addsimps [not_equal_iff]) 1); by (REPEAT (resolve_tac [impI,disjI1] 1)); by(res_inst_tac [("x","w")] exI 1); @@ -167,10 +167,10 @@ (* *) (* fun unify Const(m) Const(n) = if m=n then Nil else Fail *) (* | unify Const(m) _ = Fail *) -(* | unify Var(v) t = if Var(v)<:t then Fail else Cons(,Nil)*) +(* | unify Var(v) t = if Var(v)<:t then Fail else #Nil *) (* | unify Comb(t,u) Const(n) = Fail *) (* | unify Comb(t,u) Var(v) = if Var(v) <: Comb(t,u) then Fail *) -(* else Cons(,Nil) *) +(* else #Nil *) (* | unify Comb(t,u) Comb(v,w) = let s = unify t v *) (* in if s=Fail then Fail *) (* else unify (u<|s) (w<|s); *) @@ -191,7 +191,7 @@ val Unify2 = result() RS mp; val [prem] = goalw Unifier.thy [MGIUnifier_def] - "~Var(v) <: t ==> MGIUnifier(Cons(,Nil),Var(v),t)"; + "~Var(v) <: t ==> MGIUnifier(#Nil,Var(v),t)"; by (fast_tac (HOL_cs addSIs [prem RS MGUnifier_Var,prem RS Var_Idem]) 1); val Unify3 = result();