summaryrefslogtreecommitdiff
path: root/examples/systemS/ex2.txt
diff options
context:
space:
mode:
authoraarne <aarne@cs.chalmers.se>2005-12-20 14:20:42 +0000
committeraarne <aarne@cs.chalmers.se>2005-12-20 14:20:42 +0000
commit25b31684378d3b0668b65939fc7b30b0c1e8d130 (patch)
tree7ed3e007a8847096087a3593504aec526fedd455 /examples/systemS/ex2.txt
parent774abf612d5cc3a099f229c9cc649c7c51979f2d (diff)
CS's system S
Diffstat (limited to 'examples/systemS/ex2.txt')
-rw-r--r--examples/systemS/ex2.txt13
1 files changed, 13 insertions, 0 deletions
diff --git a/examples/systemS/ex2.txt b/examples/systemS/ex2.txt
new file mode 100644
index 000000000..1dffb6bf9
--- /dev/null
+++ b/examples/systemS/ex2.txt
@@ -0,0 +1,13 @@
+[ A -> B |- ~ B -> ~ A ]
+------------------------------ Implication strategy
+[ A -> B , ~ B |- ~ A ]
+------------------------------ Negation rewrite
+[ A -> B , ~ B |- A -> _|_ ]
+------------------------------ Implication strategy
+[ A , A -> B , ~ B |- _|_ ]
+------------------------------ Modus ponens
+[ A , A -> B , B , ~ B |- _|_ ]
+------------------------------ Forgetting
+[ B , ~ B |- _|_ ]
+------------------------------ Ex falso quodlibet _|_