Some definitions of interest.
fair-fifo	Def FairFifo Def == (i:Id, t:, l:IdLnk. source(l) = i  onlnk(l;m(i;t)) = nil  Msg List) Def == & (i:Id, t:. Def == & (isnull(a(i;t)) Def == & ( Def == & ((x:Id. s(i;t+1).x = s(i;t).x  vartype(i;x)) Def == & (& m(i;t) = nil  Msg List) Def == & (i:Id, t:, l:IdLnk. Def == & (isrcv(l;a(i;t)) Def == & ( Def == & (destination(l) = i Def == & (& ||queue(l;t)||1 & hd(queue(l;t)) = msg(a(i;t))  Msg) Def == & (l:IdLnk, t:. Def == & (t':.  Def == & (tt' & isrcv(l;a(destination(l);t'))  queue(l;t') = nil  Msg List)
ma-da	Def M.da(a) == 1of(2of(M))(a)?Top
w-action	Def Action(i) == action(w-action-dec(w.TA;w.M;i))
world	Def World Def == T:IdIdType Def == TA:IdIdType Def == M:IdLnkIdType Def == (i:Id(x:IdT(i,x)))(i:Idaction(w-action-dec(TA;M;i))) Def == (i:Id({m:Msg(M)| source(mlnk(m)) = i } List))Top
	Thm* World  Type{i'}
IdLnk	Def IdLnk == IdId
	Thm* IdLnk  Type
w-causl	Def e <c e' == e e,e'. e <loc e'  isrcv(kind(e')) & e = sender(e')  E^+ e'
w-E	Def E == {p:(Id)| isnull(a(1of(p);2of(p))) }
w-index	Def index(e) Def == ||rcvs(lnk(kind(e));time(e))||-||snds(lnk(kind(e));time(sender(e)))||
w-sender	Def sender(e) == <source(lnk(kind(e))),mu(t.match(lnk(kind(e));t;time(e)))>
w-sends	Def sends(l;e) == onlnk(l;m(loc(e);time(e)))
Id	Def Id == Atom
	Thm* Id  Type
id-deq	Def IdDeq == product-deq(Atom;;AtomDeq;NatDeq)
product-deq	Def product-deq(A;B;a;b) == <proddeq(a;b),prod-deq(A;B;a;b)>
assert	Def b == if b True else False fi
	Thm* b:. b  Prop
deq-member	Def deq-member(eq;x;L) == reduce(a,b. eqof(eq)(a,x)  b;false;L)
bor	Def p  q == if p true else q fi
	Thm* p,q:. (p  q)
eqof	Def eqof(d) == 1of(d)
	Thm* T:Type, d:EqDecider(T). eqof(d)  TT
es-E	Def E == 1of(es)
es-first	Def first(e) Def == 1of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of(2of( Def == 1of(es))))))))))))))) Def == (e)
es-loc	Def loc(e) == 1of(2of(2of(2of(2of(2of(2of(es)))))))(e)
es-when	Def (x when e) == 1of(2of(2of(2of(2of(2of(2of(2of(2of(2of(es))))))))))(x,e)
ma-empty	Def  == mk-ma(; ; ; ; ; ; ; )
fpf-empty	Def  == <nil,x.>
locl	Def locl(a) == inr(a)
	Thm* a:Id. locl(a)  Knd
lsrc	Def source(l) == 1of(l)
	Thm* l:IdLnk. source(l)  Id
nat	Def  == {i:| 0i }
	Thm*   Type
nat-deq	Def NatDeq == <a,b. a=b,nat_DASH_deq_DASH_aux{1:l}>
not	Def A == A  False
	Thm* A:Prop. (A)  Prop
w-valtype	Def valtype(i;a) == kindcase(kind(a);a.w.TA(i,a);l,tg.w.M(l,tg))
w-M	Def w.M == 1of(2of(2of(w)))
w-V	Def V(i;k) == kindcase(k;a.1of(2of(w))(i,a);l,tg.1of(2of(2of(w)))(l,tg))
w-after	Def (x after e) == s(1of(e);2of(e)+1).x
w-ekind	Def kind(e) == kind(act(e))
w-eval	Def val(e) == val(act(e))
w-first	Def first(e) Def == if time(e)=0 true Def == i; isnull(a(loc(e);time(e)-1)) first(<loc(e),time(e)-1>) Def == else false fi Def (recursive)
w-kind	Def kind(a) == 1of(outr(a))
w-pred	Def pred(e) Def == if isnull(a(loc(e);time(e)-1)) pred(<loc(e),time(e)-1>) Def == else <loc(e),time(e)-1> fi Def (recursive)
w-loc	Def loc(e) == 1of(e)
w-when	Def (x when e) == s(1of(e);2of(e)).x
w-s	Def s(i;t).x == 1of(2of(2of(2of(w))))(i,t,x)
w-vartype	Def vartype(i;x) == w.T(i,x)
pi1	Def 1of(t) == t.1
	Thm* A:Type, B:(AType), p:(a:AB(a)). 1of(p)  A
pi2	Def 2of(t) == t.2
	Thm* A:Type, B:(AType), p:(a:AB(a)). 2of(p)  B(1of(p))
rcv	Def rcv(l; tg) == inl(<l,tg>)
	Thm* l:IdLnk, tg:Id. rcv(l; tg)  Knd
top	Def Top == Void given Void
	Thm* Top  Type
w-isnull	Def isnull(a) == isl(a)

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