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authordos-reis <gdr@axiomatics.org>2013-05-17 10:50:09 +0000
committerdos-reis <gdr@axiomatics.org>2013-05-17 10:50:09 +0000
commitfd52eb1ee7ab42be1fdc73d9fc91d79abd0abd25 (patch)
tree8826031bbc15074f25d2d3c50b2696f494d7868f /src/algebra/aggcat.spad.pamphlet
parent1e6db8d4424e63a8992d7fc04917ddfd6ce94378 (diff)
downloadopen-axiom-fd52eb1ee7ab42be1fdc73d9fc91d79abd0abd25.tar.gz
* algebra/aggcat.spad.pamphlet (FiniteAggregate): More defaults.
(Aggregate): Remove default implementation of empty?
Diffstat (limited to 'src/algebra/aggcat.spad.pamphlet')
-rw-r--r--src/algebra/aggcat.spad.pamphlet10
1 files changed, 8 insertions, 2 deletions
diff --git a/src/algebra/aggcat.spad.pamphlet b/src/algebra/aggcat.spad.pamphlet
index ebbf2f97..2d539d44 100644
--- a/src/algebra/aggcat.spad.pamphlet
+++ b/src/algebra/aggcat.spad.pamphlet
@@ -56,8 +56,6 @@ Aggregate: Category == Type with
add
eq?(a,b) == %peq(a,b)$Foreign(Builtin)
sample() == empty()
- if % has finiteAggregate then
- empty? a == #a = 0
@
@@ -199,6 +197,14 @@ FiniteAggregate(S: Type): Category == Exports where
++ \axiom{member?(x,u) = reduce(or,[x=y for y in u],false)}.
add
empty? x == #x = 0
+ #x == # members x
+ any?(f, x) == or/[f e for e in members x]
+ every?(f, x) == and/[f e for e in members x]
+ count(f:S -> Boolean, x:%) == +/[1 for e in parts x | f e]
+ if S has BasicType then
+ count(s:S, x:%) == count(s = #1, x)
+ member?(e, x) == any?(e = #1,x)
+
@