diff --git a/src/main/antlr4/org/s1ck/gdl/GDL.g4 b/src/main/antlr4/org/s1ck/gdl/GDL.g4
index f85aed3..ab4bac6 100644
--- a/src/main/antlr4/org/s1ck/gdl/GDL.g4
+++ b/src/main/antlr4/org/s1ck/gdl/GDL.g4
@@ -197,6 +197,9 @@ intervalFunc
             | precedesOperator
             | succeedsOperator
             | containsOperator
+            | immediatelyPrecedesOperator
+            | immediatelySucceedsOperator
+            | equalsOperator
             ;
 overlapsIntervallOperator
     : 'overlaps(' interval ')'
@@ -224,6 +227,18 @@ containsOperator
     | 'contains(' timePoint ')'
     ;
 
+immediatelyPrecedesOperator
+    : 'immediatelyPrecedes(' interval ')'
+    ;
+
+immediatelySucceedsOperator
+    : 'immediatelySucceeds(' interval ')'
+    ;
+
+equalsOperator
+    : 'equals(' interval ')'
+    ;
+
 stampFunc
     : beforePointOperator
     | afterPointOperator
diff --git a/src/main/java/org/s1ck/gdl/GDLLoader.java b/src/main/java/org/s1ck/gdl/GDLLoader.java
index 7f426bb..acfca34 100644
--- a/src/main/java/org/s1ck/gdl/GDLLoader.java
+++ b/src/main/java/org/s1ck/gdl/GDLLoader.java
@@ -36,8 +36,7 @@
 import java.util.*;
 import java.util.stream.Collectors;
 
-import static org.s1ck.gdl.utils.Comparator.GTE;
-import static org.s1ck.gdl.utils.Comparator.LTE;
+import static org.s1ck.gdl.utils.Comparator.*;
 
 class GDLLoader extends GDLBaseListener {
 
@@ -476,27 +475,34 @@ private Predicate buildIntervalFunction(GDLParser.IntvFContext ctx) {
    *    {@code from} and {@code to}.
    */
   private Predicate createIntervalPredicates(TimePoint from, TimePoint to, GDLParser.IntervalFuncContext intervalFunc) {
-    Predicate predicate = null;
     if(intervalFunc.overlapsIntervallOperator()!=null){
-      predicate = createOverlapsPredicates(from, to, intervalFunc.overlapsIntervallOperator());
+      return createOverlapsPredicates(from, to, intervalFunc.overlapsIntervallOperator());
     }
     else if(intervalFunc.fromToOperator()!=null){
-      predicate = createFromToPredicates(from, to, intervalFunc.fromToOperator());
+      return createFromToPredicates(from, to, intervalFunc.fromToOperator());
     }
     else if(intervalFunc.betweenOperator()!=null){
-      predicate = createBetweenPredicates(from, to, intervalFunc.betweenOperator());
+      return createBetweenPredicates(from, to, intervalFunc.betweenOperator());
     }
     else if(intervalFunc.precedesOperator()!=null){
-      predicate = createPrecedesPredicates(to, intervalFunc.precedesOperator());
+      return createPrecedesPredicates(to, intervalFunc.precedesOperator());
     }
     else if(intervalFunc.succeedsOperator()!=null){
-      predicate = createSucceedsPredicates(from, intervalFunc.succeedsOperator());
+      return createSucceedsPredicates(from, intervalFunc.succeedsOperator());
     }
     else if(intervalFunc.containsOperator()!=null){
-      predicate = createContainsPredicates(from, to, intervalFunc.containsOperator());
+      return createContainsPredicates(from, to, intervalFunc.containsOperator());
     }
-    // additional constraints added during interval processing?
-    return predicate;
+    else if(intervalFunc.immediatelyPrecedesOperator()!=null){
+      return createImmediatelyPrecedesPredicates(to, intervalFunc.immediatelyPrecedesOperator());
+    }
+    else if(intervalFunc.immediatelySucceedsOperator()!=null){
+      return createImmediatelySucceedsPredicates(from, intervalFunc.immediatelySucceedsOperator());
+    }
+    else if(intervalFunc.equalsOperator()!=null){
+      return createEqualsPredicates(from, to, intervalFunc.equalsOperator());
+    }
+    return null;
   }
 
   /**
@@ -552,14 +558,20 @@ private Predicate createBetweenPredicates(TimePoint from, TimePoint to, GDLParse
    * Creates a predicate a.precedes(b) = a <= b.
    * Function is used for interval and timestamp function {@code precedes}, as they both
    * only compare two time stamps
-   * @param point the time stamp of the caller to compare
+   * @param to the time stamp of the caller to compare
    * @param ctx the context containing the value to be compared
    * @return precedes predicate
    */
-  private Predicate createPrecedesPredicates(TimePoint point, GDLParser.PrecedesOperatorContext ctx){
+  private Predicate createPrecedesPredicates(TimePoint to, GDLParser.PrecedesOperatorContext ctx){
     TimePoint[] arg = buildIntervall(ctx.interval());
     TimePoint arg_from = arg[0];
-    return new Comparison(point, LTE, arg_from);
+    return new Comparison(to, LTE, arg_from);
+  }
+
+  private Predicate createImmediatelyPrecedesPredicates(TimePoint to, GDLParser.ImmediatelyPrecedesOperatorContext ctx){
+    TimePoint[] arg = buildIntervall(ctx.interval());
+    TimePoint arg_from = arg[0];
+    return new Comparison(to, EQ, arg_from);
   }
 
   /**
@@ -576,6 +588,13 @@ private Predicate createSucceedsPredicates(TimePoint point, GDLParser.SucceedsOp
     return new Comparison(point, GTE, arg_to);
   }
 
+  private Predicate createImmediatelySucceedsPredicates(TimePoint from,
+                                                        GDLParser.ImmediatelySucceedsOperatorContext ctx){
+    TimePoint[] arg = buildIntervall(ctx.interval());
+    TimePoint arg_to = arg[1];
+    return new Comparison(from, EQ, arg_to);
+  }
+
   /**
    * Creates a predicate a.contains(b) = a.from<=b.from AND a.to>=b.to
    * @param from from value of the calling interval
@@ -602,6 +621,16 @@ private Predicate createContainsPredicates(TimePoint from, TimePoint to, GDLPars
     }
   }
 
+  private Predicate createEqualsPredicates(TimePoint from, TimePoint to, GDLParser.EqualsOperatorContext ctx){
+    TimePoint[] arg = buildIntervall(ctx.interval());
+    TimePoint arg_from = arg[0];
+    TimePoint arg_to = arg[1];
+    return new And(
+            new Comparison(from, EQ, arg_from),
+            new Comparison(to, EQ, arg_to)
+    );
+  }
+
   /**
    * Creates an array {@code {from, to}} representing an intervall.
    * @param ctx context from which to derive {@code from} and {@code to}
diff --git a/src/test/java/org/s1ck/gdl/GDLLoaderTemporalTest.java b/src/test/java/org/s1ck/gdl/GDLLoaderTemporalTest.java
index e3458be..69bbcb2 100644
--- a/src/test/java/org/s1ck/gdl/GDLLoaderTemporalTest.java
+++ b/src/test/java/org/s1ck/gdl/GDLLoaderTemporalTest.java
@@ -454,6 +454,37 @@ public void comparisonTest(){
         assertPredicateEquals(loader.getPredicates().get(), expected);
     }
 
+    @Test
+    public void immediatelyPrecedesTest(){
+        GDLLoader loader = getLoaderFromGDLString("MATCH (a)-[e]->(b) " +
+                "WHERE a.tx.immediatelyPrecedes(e.val)");
+        Predicate expected = new Comparison(
+                new TimeSelector("a", TX_TO), EQ, new TimeSelector("e", VAL_FROM)
+        );
+        assertPredicateEquals(loader.getPredicates().get(), expected);
+    }
+
+    @Test
+    public void immediatelySucceedsTest(){
+        GDLLoader loader = getLoaderFromGDLString("MATCH (a)-[e]->(b) " +
+                "WHERE a.tx.immediatelySucceeds(e.val)");
+        Predicate expected = new Comparison(
+                new TimeSelector("a", TX_FROM), EQ, new TimeSelector("e", VAL_TO)
+        );
+        assertPredicateEquals(loader.getPredicates().get(), expected);
+    }
+
+    @Test
+    public void equalsTest(){
+        GDLLoader loader = getLoaderFromGDLString("MATCH (a)-[e]->(b) " +
+                "WHERE a.tx.equals(e.val)");
+        Predicate expected = new And(
+                new Comparison(new TimeSelector("a", TX_FROM), EQ, new TimeSelector("e", VAL_FROM)),
+                new Comparison(new TimeSelector("a", TX_TO), EQ, new TimeSelector("e", VAL_TO))
+        );
+        assertPredicateEquals(loader.getPredicates().get(), expected);
+    }
+
     /**
      * Does not fail iff {@code result==expected} or {@code result.switchSides()==expected}
      * @param result    predicate to compare