z3 fib impl

3 files changed, 50 insertions, 2 deletions

diff --git a/entries/funemy/.gitignore b/entries/funemy/.gitignore
index 171a389..acb903a 100644
--- a/entries/funemy/.gitignore
+++ b/entries/funemy/.gitignore
@@ -1 +1,3 @@
+.DS_Store
 *.agdai
+*.smt2
diff --git a/entries/funemy/agda/fib1.agda b/entries/funemy/agda/fib1.agda
index 9e7f82a..d8931a0 100644
--- a/entries/funemy/agda/fib1.agda
+++ b/entries/funemy/agda/fib1.agda
@@ -32,5 +32,3 @@ fib2 = refl
 
 fib8 : fib 8 ≡ 21
 fib8 = refl
-
-
diff --git a/entries/funemy/z3/z3fib.sh b/entries/funemy/z3/z3fib.sh
new file mode 100755
index 0000000..fdc8937
--- /dev/null
+++ b/entries/funemy/z3/z3fib.sh
@@ -0,0 +1,48 @@
+#!/bin/bash
+
+# Instruction:
+#  1. having z3 installed and under you $PATH
+#  2. making sure z3fib.sh is executable, by `chmod +x z3fib.sh`
+#  3. run as `./z3fib.sh [length of the fib sequence]`
+#  4. having fun :)
+
+if [ -e fib.smt2 ]
+then
+    rm -f fib.smt2
+    touch fib.smt2
+else
+    touch fib.smt2
+fi
+
+for i in $(seq 0 $1);
+do
+  echo "(declare-const x$i Int)" >> fib.smt2
+done
+
+echo "" >> fib.smt2
+
+echo "(assert" >> fib.smt2
+echo "  (and" >> fib.smt2
+
+for i in $(seq 0 $1);
+do
+  echo "    (>= x$i 0)" >> fib.smt2
+done
+
+echo "    (= x0 0)" >> fib.smt2
+echo "    (= x1 1)" >> fib.smt2
+
+for i in $(seq 2 $1);
+do
+  echo "    (= x$i (+ x$(($i - 2)) x$(($i - 1))))" >> fib.smt2
+done
+
+echo "  )" >> fib.smt2
+echo ")" >> fib.smt2
+
+echo "" >> fib.smt2
+
+echo "(check-sat)" >> fib.smt2
+echo "(get-model)" >> fib.smt2
+
+z3 fib.smt2