diff --git a/src/pragma.rs b/src/pragma.rs
index b115f8f..b1dc77f 100644
--- a/src/pragma.rs
+++ b/src/pragma.rs
@@ -256,7 +256,8 @@ impl Connection {
         // The two syntaxes yield identical results.
         sql.push_equal_sign();
         sql.push_value(pragma_value)?;
-        self.execute_batch(&sql)
+        self.execute(&sql, NO_PARAMS)?;
+        Ok(())
     }
 
     /// Set a new value to `pragma_name` and return the updated value.
diff --git a/src/statement.rs b/src/statement.rs
index 68d39da..9133dda 100644
--- a/src/statement.rs
+++ b/src/statement.rs
@@ -646,7 +646,7 @@ impl Statement<'_> {
     #[inline]
     fn check_update(&self) -> Result<()> {
         // sqlite3_column_count works for DML but not for DDL (ie ALTER)
-        if self.column_count() > 0 || self.stmt.readonly() {
+        if self.column_count() > 0 && self.stmt.readonly() {
             return Err(Error::ExecuteReturnedResults);
         }
         Ok(())
diff --git a/src/transaction.rs b/src/transaction.rs
index 5e649b7..6d4ef26 100644
--- a/src/transaction.rs
+++ b/src/transaction.rs
@@ -1,4 +1,4 @@
-use crate::{Connection, Result};
+use crate::{Connection, Result, NO_PARAMS};
 use std::ops::Deref;
 
 /// Options for transaction behavior. See [BEGIN
@@ -120,7 +120,7 @@ impl Transaction<'_> {
             TransactionBehavior::Immediate => "BEGIN IMMEDIATE",
             TransactionBehavior::Exclusive => "BEGIN EXCLUSIVE",
         };
-        conn.execute_batch(query).map(move |_| Transaction {
+        conn.execute(query, NO_PARAMS).map(move |_| Transaction {
             conn,
             drop_behavior: DropBehavior::Rollback,
         })
@@ -180,7 +180,7 @@ impl Transaction<'_> {
     }
 
     fn commit_(&mut self) -> Result<()> {
-        self.conn.execute_batch("COMMIT")?;
+        self.conn.execute("COMMIT", NO_PARAMS)?;
         Ok(())
     }
 
@@ -190,7 +190,7 @@ impl Transaction<'_> {
     }
 
     fn rollback_(&mut self) -> Result<()> {
-        self.conn.execute_batch("ROLLBACK")?;
+        self.conn.execute("ROLLBACK", NO_PARAMS)?;
         Ok(())
     }
 
@@ -238,7 +238,7 @@ impl Savepoint<'_> {
         name: T,
     ) -> Result<Savepoint<'_>> {
         let name = name.into();
-        conn.execute_batch(&format!("SAVEPOINT {}", name))
+        conn.execute(&format!("SAVEPOINT {}", name), NO_PARAMS)
             .map(|_| Savepoint {
                 conn,
                 name,
@@ -291,7 +291,7 @@ impl Savepoint<'_> {
     }
 
     fn commit_(&mut self) -> Result<()> {
-        self.conn.execute_batch(&format!("RELEASE {}", self.name))?;
+        self.conn.execute(&format!("RELEASE {}", self.name), NO_PARAMS)?;
         self.committed = true;
         Ok(())
     }
@@ -304,7 +304,8 @@ impl Savepoint<'_> {
     /// rolled back, and can be rolled back again or committed.
     pub fn rollback(&mut self) -> Result<()> {
         self.conn
-            .execute_batch(&format!("ROLLBACK TO {}", self.name))
+            .execute(&format!("ROLLBACK TO {}", self.name), NO_PARAMS)?;
+        Ok(())
     }
 
     /// Consumes the savepoint, committing or rolling back according to the