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authorkrasimir <krasimir@chalmers.se>2010-03-21 19:01:57 +0000
committerkrasimir <krasimir@chalmers.se>2010-03-21 19:01:57 +0000
commitf4574a4cfa97e8f501967cf86f33beaf105d0497 (patch)
treeadca1cd0dc2594f947273175ef5e9560aee68687 /examples/nqueens/NQueens.gf
parent68840a3d6a745b0c98ee63e070afce22e10c3ba4 (diff)
the NQueens algorithm written in GF
Diffstat (limited to 'examples/nqueens/NQueens.gf')
-rw-r--r--examples/nqueens/NQueens.gf19
1 files changed, 19 insertions, 0 deletions
diff --git a/examples/nqueens/NQueens.gf b/examples/nqueens/NQueens.gf
new file mode 100644
index 000000000..04aa96a80
--- /dev/null
+++ b/examples/nqueens/NQueens.gf
@@ -0,0 +1,19 @@
+abstract NQueens = Nat ** {
+
+cat Matrix Nat ;
+cat Constr ;
+cat Vec (s,l : Nat) Constr ;
+cat Sat Nat Nat Constr ;
+
+data nilV : (s : Nat) -> (c : Constr) -> Vec s zero c ;
+ consV : (s,l : Nat) -> (j : Nat) -> (c : Constr) -> LT j s -> Sat j (succ zero) c -> Vec s l (consC j c) -> Vec s (succ l) c ;
+
+ nilC : Constr ;
+ consC : (j : Nat) -> Constr -> Constr ;
+
+ nilS : (j,d : Nat) -> Sat j d nilC ;
+ consS : (i,j : Nat) -> (d,dj,di : Nat) -> (c : Constr) -> NE i j -> Plus d j dj -> Plus d i di -> NE i dj -> NE di j -> Sat j (succ d) c -> Sat j d (consC i c) ;
+
+ matrix : (s : Nat) -> Vec s s nilC -> Matrix s ;
+
+} \ No newline at end of file