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Who Cites sm a rename?
sm_a_renameDef (f o M) == mk_sm(M.da o f, M.ds, M.init, s1,a,s2. l:Label. kind(a) = f(l) & M.trans(s1, < l,value(a) > ,s2))
value Def value(a) == 2of(a)
Thm* d:Decl, a:(d). value(a) d(kind(a))
sm_trans Def t.trans == 2of(2of(2of(t)))
Thm* M:sm{i:l}(). M.trans M.stateM.actionM.stateProp
kind Def kind(a) == 1of(a)
Thm* d:Decl, a:(d). kind(a) Label
Thm* M:sm{i:l}(), a:M.action. kind(a) Label & kind(a) Pattern
rename_decl Def d o f(x) == y:Label. if x = f(y) d(y) else Top fi
Thm* d:Decl, f:(LabelLabel). d o f Decl
lbl Def Label == {p:Pattern| ground_ptn(p) }
Thm* Label Type
sm_init Def t.init == 1of(2of(2of(t)))
Thm* M:sm{i:l}(). M.init M.stateProp
sm_ds Def t.ds == 1of(2of(t))
Thm* t:sm{i:l}(). t.ds Decl
sm_da Def t.da == 1of(t)
Thm* t:sm{i:l}(). t.da Decl
mk_sm Def mk_sm(da, ds, init, trans) == < da,ds,init,trans >
Thm* da,ds:Decl, init:({ds}Prop), trans:({ds}(da){ds}Prop). mk_sm(da, ds, init, trans) sm{i:l}()
pi2 Def 2of(t) == t.2
Thm* A:Type, B:(AType), p:(a:AB(a)). 2of(p) B(1of(p))
pi1 Def 1of(t) == t.1
Thm* A:Type, B:(AType), p:(a:AB(a)). 1of(p) A
ground_ptn Def ground_ptn(p) == Case(p) Case ptn_var(v) = > false Case ptn_pr( < x, y > ) = > ground_ptn(x)ground_ptn(y) Default = > true (recursive)
Thm* p:Pattern. ground_ptn(p)
assert Def b == if b True else False fi
Thm* b:. b Prop
ptn Def Pattern == rec(T.ptn_con(T))
Thm* Pattern Type
top Def Top == Void given Void
Thm* Top Type
eq_lbl Def l1 = l2 == Case(l1) Case ptn_atom(x) = > Case(l2) Case ptn_atom(y) = > x=yAtom Default = > false Case ptn_int(x) = > Case(l2) Case ptn_int(y) = > x=y Default = > false Case ptn_var(x) = > Case(l2) Case ptn_var(y) = > x=yAtom Default = > false Case ptn_pr( < x, y > ) = > Case(l2) Case ptn_pr( < u, v > ) = > x = uy = v Default = > false Default = > false (recursive)
Thm* l1,l2:Pattern. l1 = l2
case_default Def Default = > body(value,value) == body
band Def pq == if p q else false fi
Thm* p,q:. (pq)
case_lbl_pair Def Case ptn_pr( < x, y > ) = > body(x;y) cont(x1,z) == InjCase(x1; _. cont(z,z); x2. InjCase(x2; _. cont(z,z); x2@0. InjCase(x2@0; _. cont(z,z); x2@1. x2@1/x3,x2@2. body(x3;x2@2))))
case_ptn_var Def Case ptn_var(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inr(x2) = > (x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont (hd(x1) ,z)) ([x2 / tl(x1)]) cont (hd(x1) ,z)) ([x1])
case Def Case(value) body == body(value,value)
ptn_con Def ptn_con(T) == Atom++Atom+(TT)
Thm* T:Type. ptn_con(T) Type
eq_atom Def x=yAtom == if x=yAtomtrue; false fi
Thm* x,y:Atom. x=yAtom
eq_int Def i=j == if i=j true ; false fi
Thm* i,j:. (i=j)
case_ptn_int Def Case ptn_int(x) = > body(x) cont(x1,z) == (x1.inr(x2) = > (x1.inl(x2) = > body(hd([x2 / tl(x1)])) cont(hd(x1),z))([x2 / tl(x1)]) cont (hd(x1) ,z)) ([x1])
case_ptn_atom Def Case ptn_atom(x) = > body(x) cont(x1,z) == InjCase(x1; x2. body(x2); _. cont(z,z))
hd Def hd(l) == Case of l; nil "?" ; h.t h
Thm* A:Type, l:A List. ||l||1 hd(l) A
Thm* A:Type, l:A List. hd(l) A
tl Def tl(l) == Case of l; nil nil ; h.t t
Thm* A:Type, l:A List. tl(l) A List
case_inl Def inl(x) = > body(x) cont(value,contvalue) == InjCase(value; x. body(x); _. cont(contvalue,contvalue))
case_inr Def inr(x) = > body(x) cont(value,contvalue) == InjCase(value; _. cont(contvalue,contvalue); x. body(x))

Syntax:(f o M) has structure: sm_a_rename(f; M)

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WhoCites Definitions mb state machine Sections GenAutomata Doc