From 72c87a2aafa2bd98952494463353b2a48c1a06f5 Mon Sep 17 00:00:00 2001
From: funemy
Date: Sun, 23 Oct 2022 15:30:17 -0700
Subject: boring one

---
 entries/funemy/agda/fib1.agda | 36 ++++++++++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100644 entries/funemy/agda/fib1.agda

(limited to 'entries/funemy/agda')

diff --git a/entries/funemy/agda/fib1.agda b/entries/funemy/agda/fib1.agda
new file mode 100644
index 0000000..9e7f82a
--- /dev/null
+++ b/entries/funemy/agda/fib1.agda
@@ -0,0 +1,36 @@
+open import Agda.Builtin.Equality
+
+data Nat : Set where
+  zero : Nat
+  suc : Nat -> Nat
+
+{-# BUILTIN NATURAL Nat #-}
+
+z : Nat
+z = zero
+
+one : Nat
+one = suc zero
+
+add : Nat → Nat → Nat
+add zero y = y
+add (suc x) y = suc (add x y)
+
+fib : Nat → Nat
+fib zero = zero
+fib (suc zero) = suc zero
+fib (suc (suc x)) = add (fib x) (fib (suc x))
+
+fib0 : fib 0 ≡ 0
+fib0 = refl
+
+fib1 : fib 1 ≡ 1
+fib1 = refl
+
+fib2 : fib 2 ≡ 1
+fib2 = refl
+
+fib8 : fib 8 ≡ 21
+fib8 = refl
+
+
-- 
cgit v1.2.3-70-g09d2


From 679ee8faf561b6e53f582edef2d93b65615bcea7 Mon Sep 17 00:00:00 2001
From: funemy
Date: Sun, 23 Oct 2022 16:14:40 -0700
Subject: z3 fib impl

---
 entries/funemy/.gitignore     |  2 ++
 entries/funemy/agda/fib1.agda |  2 --
 entries/funemy/z3/z3fib.sh    | 48 +++++++++++++++++++++++++++++++++++++++++++
 3 files changed, 50 insertions(+), 2 deletions(-)
 create mode 100755 entries/funemy/z3/z3fib.sh

(limited to 'entries/funemy/agda')

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
-- 
cgit v1.2.3-70-g09d2