diff --git a/lib/src/sparql/eval.rs b/lib/src/sparql/eval.rs
index 72c730c5..2d299719 100644
--- a/lib/src/sparql/eval.rs
+++ b/lib/src/sparql/eval.rs
@@ -20,6 +20,7 @@ use rio_api::model as rio;
 use rust_decimal::{Decimal, RoundingStrategy};
 use sha1::Sha1;
 use sha2::{Sha256, Sha384, Sha512};
+use std::cmp::min;
 use std::cmp::Ordering;
 use std::collections::BTreeMap;
 use std::collections::HashSet;
@@ -207,6 +208,17 @@ impl<'a, S: StoreConnection + 'a> SimpleEvaluator<S> {
                     buffered_results: errors,
                 })
             }
+            PlanNode::AntiJoin { left, right } => {
+                //TODO: dumb implementation
+                let right: Vec<_> = self
+                    .eval_plan(&*right, from.clone())
+                    .filter_map(|result| result.ok())
+                    .collect();
+                Box::new(AntiJoinIterator {
+                    left_iter: self.eval_plan(&*left, from),
+                    right,
+                })
+            }
             PlanNode::LeftJoin {
                 left,
                 right,
@@ -1713,6 +1725,22 @@ fn combine_tuples(a: &[Option<EncodedTerm>], b: &[Option<EncodedTerm>]) -> Optio
     }
 }
 
+fn are_tuples_compatible_and_not_disjointed(
+    a: &[Option<EncodedTerm>],
+    b: &[Option<EncodedTerm>],
+) -> bool {
+    let mut found_intersection = false;
+    for i in 0..min(a.len(), b.len()) {
+        if let (Some(a_value), Some(b_value)) = (a[i], b[i]) {
+            if a_value != b_value {
+                return false;
+            }
+            found_intersection = true;
+        }
+    }
+    found_intersection
+}
+
 struct JoinIterator<'a> {
     left: Vec<EncodedTuple>,
     right_iter: EncodedTuplesIterator<'a>,
@@ -1739,6 +1767,31 @@ impl<'a> Iterator for JoinIterator<'a> {
     }
 }
 
+struct AntiJoinIterator<'a> {
+    left_iter: EncodedTuplesIterator<'a>,
+    right: Vec<EncodedTuple>,
+}
+
+impl<'a> Iterator for AntiJoinIterator<'a> {
+    type Item = Result<EncodedTuple>;
+
+    fn next(&mut self) -> Option<Result<EncodedTuple>> {
+        loop {
+            match self.left_iter.next()? {
+                Ok(left_tuple) => {
+                    let exists_compatible_right = self.right.iter().any(|right_tuple| {
+                        are_tuples_compatible_and_not_disjointed(&left_tuple, right_tuple)
+                    });
+                    if !exists_compatible_right {
+                        return Some(Ok(left_tuple));
+                    }
+                }
+                Err(error) => return Some(Err(error)),
+            }
+        }
+    }
+}
+
 struct LeftJoinIterator<'a, S: StoreConnection + 'a> {
     eval: SimpleEvaluator<S>,
     right_plan: &'a PlanNode,
diff --git a/lib/src/sparql/plan.rs b/lib/src/sparql/plan.rs
index 91ff9ea9..663a8faf 100644
--- a/lib/src/sparql/plan.rs
+++ b/lib/src/sparql/plan.rs
@@ -20,6 +20,10 @@ pub enum PlanNode {
         left: Box<PlanNode>,
         right: Box<PlanNode>,
     },
+    AntiJoin {
+        left: Box<PlanNode>,
+        right: Box<PlanNode>,
+    },
     Filter {
         child: Box<PlanNode>,
         expression: PlanExpression,
@@ -109,11 +113,9 @@ impl PlanNode {
                     child.add_variables(set);
                 }
             }
-            PlanNode::Join { left, right } => {
-                left.add_variables(set);
-                right.add_variables(set);
-            }
-            PlanNode::LeftJoin { left, right, .. } => {
+            PlanNode::Join { left, right }
+            | PlanNode::AntiJoin { left, right }
+            | PlanNode::LeftJoin { left, right, .. } => {
                 left.add_variables(set);
                 right.add_variables(set);
             }
diff --git a/lib/src/sparql/plan_builder.rs b/lib/src/sparql/plan_builder.rs
index 64841fd6..8f43c5fb 100644
--- a/lib/src/sparql/plan_builder.rs
+++ b/lib/src/sparql/plan_builder.rs
@@ -113,7 +113,15 @@ impl<'a, S: StoreConnection> PlanBuilder<'a, S> {
                 position: variable_key(variables, &v),
                 expression: self.build_for_expression(e, variables, graph_name)?,
             },
-            GraphPattern::Minus(_a, _b) => unimplemented!(),
+            GraphPattern::Minus(a, b) => PlanNode::AntiJoin {
+                left: Box::new(self.build_for_graph_pattern(
+                    a,
+                    input.clone(),
+                    variables,
+                    graph_name,
+                )?),
+                right: Box::new(self.build_for_graph_pattern(b, input, variables, graph_name)?),
+            },
             GraphPattern::Service(_n, _p, _s) => unimplemented!(),
             GraphPattern::AggregateJoin(_g, _a) => unimplemented!(),
             GraphPattern::Data(bs) => PlanNode::StaticBindings {
diff --git a/lib/tests/sparql_test_cases.rs b/lib/tests/sparql_test_cases.rs
index d8ece42b..dd2b2662 100644
--- a/lib/tests/sparql_test_cases.rs
+++ b/lib/tests/sparql_test_cases.rs
@@ -91,6 +91,7 @@ fn sparql_w3c_query_evaluation_testsuite() -> Result<()> {
         "http://www.w3.org/2009/sparql/docs/tests/data-sparql11/construct/manifest.ttl",
         "http://www.w3.org/2009/sparql/docs/tests/data-sparql11/exists/manifest.ttl",
         "http://www.w3.org/2009/sparql/docs/tests/data-sparql11/functions/manifest.ttl",
+        "http://www.w3.org/2009/sparql/docs/tests/data-sparql11/negation/manifest.ttl",
     ];
 
     let test_blacklist = vec![