diff --git a/rumur/CMakeLists.txt b/rumur/CMakeLists.txt
index 4c9c9c10..92262561 100644
--- a/rumur/CMakeLists.txt
+++ b/rumur/CMakeLists.txt
@@ -52,6 +52,7 @@ add_executable(rumur
   src/output.cc
   src/process.cc
   src/smt/solver.cc
+  src/smt/translate.cc
   src/symmetry-reduction.cc
   src/utils.cc
   src/ValueType.cc)
diff --git a/rumur/src/smt/translate.cc b/rumur/src/smt/translate.cc
new file mode 100644
index 00000000..c7f4c812
--- /dev/null
+++ b/rumur/src/smt/translate.cc
@@ -0,0 +1,139 @@
+#include <cstddef>
+#include <rumur/rumur.h>
+#include "except.h"
+#include "translate.h"
+#include <sstream>
+#include <string>
+
+using namespace rumur;
+
+namespace smt {
+
+namespace { class Translator : public ConstExprTraversal {
+
+ private:
+  std::ostringstream buffer;
+
+ public:
+  std::string str() const {
+    return buffer.str();
+  }
+
+  Translator &operator<<(const std::string &s) {
+    buffer << s;
+    return *this;
+  }
+
+  Translator &operator<<(const Expr &e) {
+    dispatch(e);
+    return *this;
+  }
+
+  void visit_add(const Add &n) {
+    *this << "(+ " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_and(const And &n) {
+    *this << "(and " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_element(const Element&) {
+    throw Unsupported();
+  }
+
+  void visit_exprid(const ExprID &n) {
+    *this << n.id;
+  }
+
+  void visit_eq(const Eq &n) {
+    *this << "(= " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_exists(const Exists&) {
+    throw Unsupported();
+  }
+
+  void visit_div(const Div &n) {
+    *this << "(div " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_field(const Field&) {
+    throw Unsupported();
+  }
+
+  void visit_forall(const Forall&) {
+    throw Unsupported();
+  }
+
+  void visit_functioncall(const FunctionCall&) {
+    throw Unsupported();
+  }
+
+  void visit_geq(const Geq &n) {
+    *this << "(>= " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_gt(const Gt &n) {
+    *this << "(> " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_implication(const Implication &n) {
+    *this << "(=> " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_isundefined(const IsUndefined&) {
+    throw Unsupported();
+  }
+
+  void visit_leq(const Leq &n) {
+    *this << "(<= " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_lt(const Lt &n) {
+    *this << "(< " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_mod(const Mod &n) {
+    *this << "(mod " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_mul(const Mul &n) {
+    *this << "(* " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_negative(const Negative &n) {
+    *this << "(- " << *n.rhs << ")";
+  }
+
+  void visit_neq(const Neq &n) {
+    *this << "(not (= " << *n.lhs << " " << *n.rhs << "))";
+  }
+
+  void visit_number(const Number &n) {
+    *this << n.value.get_str();
+  }
+
+  void visit_not(const Not &n) {
+    *this << "(not " << *n.rhs << ")";
+  }
+
+  void visit_or(const Or &n) {
+    *this << "(or " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_sub(const Sub &n) {
+    *this << "(sub " << *n.lhs << " " << *n.rhs << ")";
+  }
+
+  void visit_ternary(const Ternary &n) {
+    *this << "(ite " << *n.cond << " " << *n.lhs << " " << *n.rhs << ")";
+  }
+}; }
+
+std::string translate(const Expr &expr) {
+  Translator t;
+  t.dispatch(expr);
+  return t.str();
+}
+
+}
diff --git a/rumur/src/smt/translate.h b/rumur/src/smt/translate.h
new file mode 100644
index 00000000..44ed7a55
--- /dev/null
+++ b/rumur/src/smt/translate.h
@@ -0,0 +1,12 @@
+#pragma once
+
+#include <cstddef>
+#include <rumur/rumur.h>
+#include <string>
+
+namespace smt {
+
+// translate an expression to its SMTLIB equivalent
+std::string translate(const rumur::Expr &expr);
+
+}