diff --git a/.gitignore b/.gitignore
index 658ebb6f80..d148072ea7 100644
--- a/.gitignore
+++ b/.gitignore
@@ -60,3 +60,6 @@ tools/profiler/tmp/
 tools/profiler/logs
 
 temp/
+
+# for running a venv
+.venv
\ No newline at end of file
diff --git a/calyx-py/calyx/binheap_oracle.py b/calyx-py/calyx/binheap_oracle.py
index c0112e0c19..3ff238a081 100644
--- a/calyx-py/calyx/binheap_oracle.py
+++ b/calyx-py/calyx/binheap_oracle.py
@@ -7,7 +7,7 @@
 if __name__ == "__main__":
     max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, ranks = queue_util.parse_json()
+    commands, values, ranks, _ = queue_util.parse_json(True)
     binheap = queues.Binheap(len)
     ans = queues.operate_queue(binheap, max_cmds, commands, values, ranks=ranks, keepgoing=keepgoing)
-    queue_util.dump_json(ans, commands, values, ranks=ranks)
+    queue_util.dump_json(commands, values, ans, ranks=ranks)
diff --git a/calyx-py/calyx/fifo_oracle.py b/calyx-py/calyx/fifo_oracle.py
index 6c4e0c549c..d7a0fe7f2f 100644
--- a/calyx-py/calyx/fifo_oracle.py
+++ b/calyx-py/calyx/fifo_oracle.py
@@ -7,7 +7,7 @@
 if __name__ == "__main__":
     max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, _ = queue_util.parse_json()
+    commands, values, _, _ = queue_util.parse_json()
     fifo = queues.Fifo(len)
     ans = queues.operate_queue(fifo, max_cmds, commands, values, keepgoing=keepgoing)
-    queue_util.dump_json(ans, commands, values)
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/calyx/gen_queue_data_expect.sh b/calyx-py/calyx/gen_queue_data_expect.sh
index 4e944ed2f7..3f17323330 100755
--- a/calyx-py/calyx/gen_queue_data_expect.sh
+++ b/calyx-py/calyx/gen_queue_data_expect.sh
@@ -21,6 +21,15 @@ for queue_kind in fifo pifo pifo_tree; do
     [[ "$queue_kind" != "pifo_tree" ]] && cp ../test/correctness/queues/$queue_kind.expect ../test/correctness/queues/binheap/$queue_kind.expect
 done
 
+# Here, we test the queues for non-work-conserving algorithms,
+# which are the following:
+# - pieo_oracle.py
+# - pcq_oracle.py
+
+for queue_kind in pieo pcq nwc_simple; do
+    python3 queue_data_gen.py $num_cmds --nwc-en > ../test/correctness/queues/$queue_kind.data
+    cat ../test/correctness/queues/$queue_kind.data | python3 ${queue_kind}_oracle.py $num_cmds $queue_size --keepgoing > ../test/correctness/queues/$queue_kind.expect
+done  
 
 # For the Binary Heap, we drop piezo mode and enable ranks for data gen and
 # use binheap_oracle to generate the expected output
@@ -31,8 +40,8 @@ cat ../test/correctness/queues/binheap/stable_binheap.data | python3 binheap_ora
 # generate the expected output for queues with 2..7 flows. This generates 6 data expect file pairs.
 
 for n in {2..7}; do
-    python3 queue_data_gen.py $num_cmds > ../test/correctness/queues/rr_queues/rr_queue_${n}flows.data
-    cat ../test/correctness/queues/rr_queues/rr_queue_${n}flows.data | python3 rrqueue_oracle.py $num_cmds $queue_size $n --keepgoing > ../test/correctness/queues/rr_queues/rr_queue_${n}flows.expect
+    python3 queue_data_gen.py $num_cmds > ../test/correctness/queues/strict_and_rr_queues/rr_queues/rr_queue_${n}flows.data
+    cat ../test/correctness/queues/strict_and_rr_queues/rr_queues/rr_queue_${n}flows.data | python3 rr_queue_oracle.py $num_cmds $queue_size $n --keepgoing > ../test/correctness/queues/strict_and_rr_queues/rr_queues/rr_queue_${n}flows.expect
 done
 
 # For Strict queues, we use strict_queue_oracle.py to generate the expected output
@@ -40,6 +49,6 @@ done
 # expect file pairs.
 
 for n in {2..6}; do
-    python3 queue_data_gen.py $num_cmds > ../test/correctness/queues/strict_queues/strict_${n}flows.data
-    cat ../test/correctness/queues/strict_queues/strict_${n}flows.data | python3 strict_queue_oracle.py $num_cmds $queue_size $n --keepgoing > ../test/correctness/queues/strict_queues/strict_${n}flows.expect
-done
+    python3 queue_data_gen.py $num_cmds > ../test/correctness/queues/strict_and_rr_queues/strict_queues/strict_${n}flows.data
+    cat ../test/correctness/queues/strict_and_rr_queues/strict_queues/strict_${n}flows.data | python3 strict_queue_oracle.py $num_cmds $queue_size $n --keepgoing > ../test/correctness/queues/strict_and_rr_queues/strict_queues/strict_${n}flows.expect
+done
\ No newline at end of file
diff --git a/calyx-py/calyx/nwc_simple_oracle.py b/calyx-py/calyx/nwc_simple_oracle.py
new file mode 100644
index 0000000000..3b1e3e9823
--- /dev/null
+++ b/calyx-py/calyx/nwc_simple_oracle.py
@@ -0,0 +1,11 @@
+import sys
+import calyx.queues as queues
+from calyx import queue_util
+
+if __name__ == "__main__":
+    commands, values, ranks, times = queue_util.parse_json(True, True)
+    max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
+    keepgoing = "--keepgoing" in sys.argv
+    queue = queues.NWCSimple(len)
+    ans = queues.operate_queue(queue, max_cmds, commands, values, ranks, times=times, keepgoing=keepgoing)
+    queue_util.dump_json(commands, values, ans, ranks, times)
\ No newline at end of file
diff --git a/calyx-py/calyx/pcq_oracle.py b/calyx-py/calyx/pcq_oracle.py
new file mode 100644
index 0000000000..1030c9e53a
--- /dev/null
+++ b/calyx-py/calyx/pcq_oracle.py
@@ -0,0 +1,11 @@
+import sys
+import calyx.queues as queues
+from calyx import queue_util
+
+if __name__ == "__main__":
+    commands, values, ranks, times = queue_util.parse_json(True, True)
+    max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
+    keepgoing = "--keepgoing" in sys.argv
+    pcq = queues.PCQ(len)
+    ans = queues.operate_queue(pcq, max_cmds, commands, values, ranks, times=times, keepgoing=keepgoing)
+    queue_util.dump_json(commands, values, ans, ranks, times)
\ No newline at end of file
diff --git a/calyx-py/calyx/pieo_oracle.py b/calyx-py/calyx/pieo_oracle.py
new file mode 100644
index 0000000000..e703aee340
--- /dev/null
+++ b/calyx-py/calyx/pieo_oracle.py
@@ -0,0 +1,11 @@
+import sys
+import calyx.queues as queues
+from calyx import queue_util
+
+if __name__ == "__main__":
+    commands, values, ranks, times = queue_util.parse_json(True, True)
+    max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
+    keepgoing = "--keepgoing" in sys.argv
+    pieo = queues.Pieo(len)
+    ans = queues.operate_queue(pieo, max_cmds, commands, values, ranks, times=times, keepgoing=keepgoing)
+    queue_util.dump_json(commands, values, ans, ranks, times)
\ No newline at end of file
diff --git a/calyx-py/calyx/pifo_oracle.py b/calyx-py/calyx/pifo_oracle.py
index 3f5fb61862..fc7fd47784 100644
--- a/calyx-py/calyx/pifo_oracle.py
+++ b/calyx-py/calyx/pifo_oracle.py
@@ -7,10 +7,10 @@
 if __name__ == "__main__":
     max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, _ = queue_util.parse_json()
+    commands, values, _, _ = queue_util.parse_json()
 
     # Our PIFO is simple: it just orchestrates two FIFOs. The boundary is 200.
     pifo = queues.Pifo(queues.Fifo(len), queues.Fifo(len), 200, len)
 
     ans = queues.operate_queue(pifo, max_cmds, commands, values, keepgoing=keepgoing)
-    queue_util.dump_json(ans, commands, values)
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/calyx/pifo_tree_oracle.py b/calyx-py/calyx/pifo_tree_oracle.py
index 3ad3130111..d613788452 100644
--- a/calyx-py/calyx/pifo_tree_oracle.py
+++ b/calyx-py/calyx/pifo_tree_oracle.py
@@ -8,7 +8,7 @@
 if __name__ == "__main__":
     max_cmds, len = int(sys.argv[1]), int(sys.argv[2])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, _ = queue_util.parse_json()
+    commands, values, _, _ = queue_util.parse_json()
 
     # Our PIFO is a little complicated: it is a tree of queues.
     # The root has two children, which are PIFOs.
@@ -28,4 +28,4 @@
     )
 
     ans = queues.operate_queue(pifo, max_cmds, commands, values, keepgoing=keepgoing)
-    queue_util.dump_json(ans, commands, values)
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/calyx/queue_data_gen.py b/calyx-py/calyx/queue_data_gen.py
index f2ec45eb39..e3b81985fa 100644
--- a/calyx-py/calyx/queue_data_gen.py
+++ b/calyx-py/calyx/queue_data_gen.py
@@ -21,6 +21,8 @@ def no_err_cmds_list(queue_size, num_cmds):
     - No underflows.
     - `num_cmds`/2 pushes and `num_cmds`/2 pops.
     A combination of the above means that no packet is left unpopped.
+    This is specifically catered for work-conserving algorithms,
+    and not for non-work-conserving algorithms.
     """
     running_count = 0  # The current size of the queue.
     push_goal = int(num_cmds / 2)  # How many pushes we want overall.
@@ -63,29 +65,58 @@ def no_err_cmds_list(queue_size, num_cmds):
     return commands
 
 
-def dump_json(num_cmds, use_rank: bool, no_err: bool, queue_size: Optional[int] = None):
+def dump_json(num_cmds, no_err: bool, queue_size: Optional[int]=None, nwc=False, use_ranks=False):
     """Prints a JSON representation of the data to stdout.
     The data itself is populated randomly, following certain rules:
     - It has three "memories": `commands`, `values`, and `ans_mem`.
-    - The `commands` memory has `num_cmds` items, which are 0, 1, or 2.
-      0: pop, 1: peek, 2: push
-      If the `no_err` flag is set, then items are chosen from 0 and 2 using a helper.
+    - Optional memories `ranks` and `times` are included for queues primed for non-work-conserving algorithms.
+    - The `commands` memory has `num_cmds` items, which range from 0-2 for work-conserving policies,
+        and from 0-4 for non-work-conserving. They are as follows:
+
+    FOR WORK-CONSERVING POLICIES
+        0 : pop
+        1 : peek
+        2 : push
+    
+    FOR NON-WORK-CONSERVING POLICIES
+        0 : pop by predicate
+        1 : peek by predicate
+        2 : push
+        3 : pop by value
+        4 : peek by value
+
+    If the `no_err` flag is set and the policy is work-conserving,
+    then items are chosen from 0 and 2 using a helper.
+
+    If the `nwc` flag is set to False (marking the policy as work-conserving),
+    then the predicate is treated as though always true.
+
     - The `values` memory has `num_cmds` items:
     random values between 0 and 400.
+    - The `ranks` memory has `num_cmds` items:
+    random values between 0 and 400.
+    - The `times` memory has `num_cmds` items:
+    random values between 0 and 50.
     - The `ans_mem` memory has `num_cmds` items, all zeroes.
     - Each memory has a `format` field, which is a format object for a bitvector.
     """
+        
     commands = {
         "commands": {
             "data": (
-                # The `commands` memory has `num_cmds` items, which are all 0, 1, or 2
+                # The `commands` memory has `num_cmds` items, which are all 0, 1, or 2 (or 3 and 4, for nwc policies)
                 no_err_cmds_list(queue_size, num_cmds)
+                if no_err
                 # If the `no_err` flag is set, then we use the special helper
                 # that ensures no overflow or overflow will occur.
-                if no_err
-                else [random.randint(0, 2) for _ in range(num_cmds)]
+                else (
+                    [random.randint(0, 4) for _ in range(num_cmds)]
+                    if nwc
+                    else
+                    [random.randint(0, 2) for _ in range(num_cmds)]
+                )
             ),
-            "format": format_gen(2),
+            "format": format_gen(3 if nwc else 2),
         }
     }
     values = {
@@ -104,6 +135,14 @@ def dump_json(num_cmds, use_rank: bool, no_err: bool, queue_size: Optional[int]
             "format": format_gen(32),
         }
     }
+    times = {
+        "times": {
+            "data": [0 if not nwc else random.randint(0, 50) for _ in range(num_cmds)],
+            # The `times` memory has `num_cmds` items, which are all
+            # random values between 0 and 50.
+            "format": format_gen(32),
+        }        
+    }
     ans_mem = {
         "ans_mem": {
             "data": [0] * num_cmds,
@@ -112,7 +151,9 @@ def dump_json(num_cmds, use_rank: bool, no_err: bool, queue_size: Optional[int]
         }
     }
 
-    if use_rank:
+    if nwc:
+        print(json.dumps(commands | values | ranks | times | ans_mem, indent=2))
+    elif use_ranks:
         print(json.dumps(commands | values | ranks | ans_mem, indent=2))
     else:
         print(json.dumps(commands | values | ans_mem, indent=2))
@@ -123,8 +164,9 @@ def dump_json(num_cmds, use_rank: bool, no_err: bool, queue_size: Optional[int]
     # This says whether we should use the special no_err helper.
     random.seed(5)
     num_cmds = int(sys.argv[1])
+    nwc = "--nwc-en" in sys.argv
     no_err = "--no-err" in sys.argv
     use_rank = "--use-rank" in sys.argv
     if no_err:
         queue_size = int(sys.argv[3])
-    dump_json(num_cmds, use_rank, no_err, queue_size if no_err else None)
+    dump_json(num_cmds, no_err, queue_size if no_err else None, nwc, use_rank)
diff --git a/calyx-py/calyx/queue_util.py b/calyx-py/calyx/queue_util.py
index a885ef9073..7fefa8fee1 100644
--- a/calyx-py/calyx/queue_util.py
+++ b/calyx-py/calyx/queue_util.py
@@ -2,7 +2,7 @@
 import sys
 
 
-def parse_json():
+def parse_json(parse_ranks=False, parse_times=False):
     """Effectively the opposite of `data_gen`:
     Given a JSON file formatted for Calyx purposes, parses it into two lists:
     - The `commands` list.
@@ -12,28 +12,30 @@ def parse_json():
     data = json.load(sys.stdin)
     commands = data["commands"]["data"]
     values = data["values"]["data"]
-    ranks = None
-    try:
+
+    if parse_ranks:
         ranks = data["ranks"]["data"]
-    except KeyError:
-        pass
-    return commands, values, ranks
+    if parse_times:
+        times = data["times"]["data"]
+
+    #Return tuple of data
+    return commands, values, (ranks if parse_ranks else None), (times if parse_times else None)
 
 
-def dump_json(ans_mem, commands, values, ranks=None):
+def dump_json(commands, values, ans_mem, ranks=None, times=None):
     """Prints a JSON representation of the data to stdout."""
-    payload = {}
-    if ranks == None:
-        payload = {
-            "ans_mem": ans_mem,
-            "commands": commands,
-            "values": values
-        }
-    else:
-        payload = {
-            "ans_mem": ans_mem,
-            "commands": commands,
-            "ranks": ranks,
-            "values": values
-        }
+
+    payload = {
+        "ans_mem": ans_mem,
+        "commands": commands
+    }
+
+    if ranks:
+        payload["ranks"] = ranks
+
+    payload["values"] = values
+
+    if times:
+        payload["times"] = times
+        
     print(json.dumps(payload, indent=2))
diff --git a/calyx-py/calyx/queues.py b/calyx-py/calyx/queues.py
index 6ec6cf54a1..a174e786b9 100644
--- a/calyx-py/calyx/queues.py
+++ b/calyx-py/calyx/queues.py
@@ -6,6 +6,9 @@
 class QueueError(Exception):
     """An error that occurs when we try to pop/peek from an empty queue,"""
 
+class CmdError(Exception):
+    """An error that occurs if an undefined command is passed"""
+
 
 @dataclass
 class Fifo:
@@ -19,19 +22,19 @@ def __init__(self, max_len: int):
         self.data = []
         self.max_len = max_len
 
-    def push(self, val: int) -> None:
+    def push(self, val: int, *_) -> None:
         """Pushes `val` to the FIFO."""
         if len(self.data) == self.max_len:
             raise QueueError("Cannot push to full FIFO.")
         self.data.append(val)
 
-    def pop(self) -> Optional[int]:
+    def pop(self, *_) -> Optional[int]:
         """Pops the FIFO."""
         if len(self.data) == 0:
             raise QueueError("Cannot pop from empty FIFO.")
         return self.data.pop(0)
 
-    def peek(self) -> Optional[int]:
+    def peek(self, *_) -> Optional[int]:
         """Peeks into the FIFO."""
         if len(self.data) == 0:
             raise QueueError("Cannot peek into empty FIFO.")
@@ -62,10 +65,6 @@ class Pifo:
     Inherent to the queue is its `max_len`, which is given to us at initialization
     and we cannot exceed.
 
-    If initialized with "error mode" turned on, the queue raises errors in case
-    of underflow or overflow and stops the simulation.
-    Otherwise, it allows those commands to fail silently but continues the simulation.
-
     When asked to pop:
     - If `pifo_len` is 0, we fail silently or raise an error.
     - Else, if `hot` is 0, we try to pop from queue_0.
@@ -87,13 +86,7 @@ class Pifo:
     - We increment `pifo_len` by 1.
     """
 
-    def __init__(
-        self,
-        queue_1,
-        queue_2,
-        boundary,
-        max_len: int,
-    ):
+    def __init__(self, queue_1, queue_2, boundary, max_len):
         self.data = (queue_1, queue_2)
         self.hot = 0
         self.pifo_len = len(queue_1) + len(queue_2)
@@ -103,7 +96,7 @@ def __init__(
             self.pifo_len <= self.max_len
         )  # We can't be initialized with a PIFO that is too long.
 
-    def push(self, val: int):
+    def push(self, val: int, *_) -> None:
         """Pushes `val` to the PIFO."""
         if self.pifo_len == self.max_len:
             raise QueueError("Cannot push to full PIFO.")
@@ -113,7 +106,7 @@ def push(self, val: int):
             self.data[1].push(val)
         self.pifo_len += 1
 
-    def pop(self) -> Optional[int]:
+    def pop(self, *_) -> Optional[int]:
         """Pops the PIFO."""
         if self.pifo_len == 0:
             raise QueueError("Cannot pop from empty PIFO.")
@@ -133,7 +126,7 @@ def pop(self) -> Optional[int]:
                 self.hot = 1
                 return self.data[0].pop()
 
-    def peek(self) -> Optional[int]:
+    def peek(self, *_) -> Optional[int]:
         """Peeks into the PIFO."""
         if self.pifo_len == 0:
             raise QueueError("Cannot peek into empty PIFO.")
@@ -151,12 +144,369 @@ def peek(self) -> Optional[int]:
     def __len__(self) -> int:
         return self.pifo_len
 
-
 @dataclass(order=True)
 class RankValue:
     priority: int
     value: Any = field(compare=False)
 
+@dataclass
+class NWCSimple:
+    """A simple test oracle structure for non-work-conserving queues.
+    
+    This serves the same purpose as PIEOs and Calendar Queues (see Python implementation below),
+    representing an abstract implementation for any non-work-conserving, time-dependent structure.
+    
+    In our implementation, we support time-based 'ripeness' predicates,
+    which check that an element's encoded 'readiness time' is earlier than the specified current time.
+
+    The term 'ripe', as defined above, takes in an element (which has some encoded readiness time),
+    and a specified 'current time'. It checks that the element's readiness time is <= the current time.
+
+    Supports the operations `push`, `pop`, and `peek`.
+
+    Stores elements in the form of a heap (using the `heapq` library).
+    
+    At initialization, we take a `max_len` value to store the maximum possible
+    length of a queue.
+
+    When asked to push:
+    - If the queue is at length `max_len`, we raise an error.
+    - Otherwise, we insert the element into the PIEO such that the rank order stays increasing.
+    - To avoid ties between ranks, we left-shift the rank and then add either a custom buffer,
+        or an internal element count tracker.
+
+    When asked to pop:
+    - If the length of `data` is 0, we raise an error .
+
+    - We can either pop based on value or based on eligibility.
+    - This implementation supports the most common readiness predicate - whether an element is 'ripe', 
+        or time-ready (the inputted time is >= the element's specified readiness time).
+
+    - If a value is passed in, we pop the first (lowest-rank) instance of that value which is 'ripe'.
+    - If no value is passed in but a time is,
+        we pop the first (lowest-rank) value that passes the predicate.
+
+    When asked to peek:
+    We do the same thing as `pop`, except:
+    - We peek instead of popping - i.e. we don't remove any elements.
+
+    We compactly represent these similar operations through `query`, which takes in an additional
+    optional `remove` parameter (defaulted to False) to determine whether to pop or peek.
+    """
+
+    def __init__(self, max_len: int):
+        self.data = []
+        self.max_len = max_len
+        self.insertion_count = 0
+    
+    def push(self, val, rank=0, time=0) -> None:
+        if len(self.data) >= self.max_len:
+            raise QueueError("Overflow")
+
+        # Left-shift the rank by 32 and add in the insertion count.
+        # With every push, we modify the insertion count as to reduce any possible duplicate ranks.
+
+        heapq.heappush(self.data, RankValue(((rank << 32) + self.insertion_count), (val, time)))
+        self.insertion_count += 1
+    
+    def is_ripe(self, time) -> bool:
+        return self.data[0].value[1] <= time
+
+    def query(self, time=0, val=None, remove=False) -> Optional[int]:
+        if len(self.data) == 0:
+            raise QueueError("Underflow")
+    
+        #Cache popped values from heap while searching for the first eligible one
+        temp = []
+
+        while len(self.data) > 0:
+            #Check for eligibility
+            if self.is_ripe(time) and (val is None or self.data[0].value[0] == val):
+                
+                #If eligible, we pop the element and push all cached elements back into the heap
+                result = heapq.heappop(self.data) if remove else self.data[0]
+
+                for elem in temp:
+                    heapq.heappush(self.data, elem)
+
+                return result.value[0]
+            
+            #After each iteration, pop the current element so we can scan down the heap
+            temp.append(heapq.heappop(self.data))
+
+        #If no eligible elements are found, repopulate the data heap with cached elements
+        for elem in temp:
+            heapq.heappush(self.data, elem)
+        raise QueueError("Underflow")
+    
+    def peek(self, time=0, val=None) -> Optional[int]:
+        return self.query(time, val)
+
+    def pop(self, time=0, val=None) -> Optional[int]:
+        return self.query(time, val, True)
+
+
+@dataclass
+class Pieo:
+    """A PIEO data structure.
+    PIEOs function as generalized PIFOs, but popping and pushing supports the 'extract-out' idea
+    rather than exclusively a 'first-out' operation. Elements can either be extracted by value
+    (pass in a value and obtain the lowest-rank element matching it), or by an eligibility predicate
+    (find the lowest-rank element matching the predicate).
+    
+    In our implementation, we support time-based 'ripeness' predicates,
+    which check that an element's encoded 'readiness time' is earlier than the specified current time.
+
+    The term 'ripe', as defined above, takes in an element (which has some encoded readiness time),
+    and a specified 'current time'. It checks that the element's readiness time is <= the current time.
+    
+    For more info, consult https://dl.acm.org/doi/pdf/10.1145/3341302.3342090.
+
+    Supports the operations `push`, `pop`, and `peek`.
+
+    Stores elements ordered increasingly by a totally ordered `rank` attribute (for
+    simplicitly, our implementation is just using integers).
+    
+    At initialization, we take a `max_len` value to store the maximum possible
+    length of a queue.
+
+    When asked to push:
+    - If the PIEO is at length `max_len`, we raise an error.
+    - Otherwise, we insert the element into the PIEO such that the rank order stays increasing.
+    - To avoid ties between ranks, we left-shift the rank and then add either a custom buffer,
+        or an internal element count tracker.
+
+    When asked to pop:
+    - If the length of `data` is 0, we raise an error .
+
+    - We can either pop based on value or based on eligibility.
+    - This implementation supports the most common readiness predicate - whether an element is 'ripe', 
+        or time-ready (the inputted time is >= the element's specified readiness time).
+
+    - If a value is passed in, we pop the first (lowest-rank) instance of that value which is 'ripe'.
+    - If no value is passed in but a time is,
+        we pop the first (lowest-rank) value that passes the predicate.
+
+    When asked to peek:
+    We do the same thing as `pop`, except:
+    - We peek into the PIEO instead of popping it - i.e. we don't remove any elements.
+
+    We compactly represent these similar operations through `query`, which takes in an additional
+    optional `remove` parameter (defaulted to False) to determine whether to pop or peek.
+    """
+    
+    def __init__(self, max_len: int):
+        """Initialize structure."""
+        self.max_len = max_len
+        self.data = []
+        self.insertion_count = 0
+
+    def is_ripe(self, element, time):
+        """Check that an element is 'ripe' - i.e. its ready time has passed"""
+        return element["time"] <= time
+    
+    def binsert(self, val, time, rank, l, r):
+        """Inserts element into list such that rank ordering is preserved
+        Uses variant of binary search algorithm.
+        """
+        if l == r:
+            return self.data.insert(l, {"val": val, "time": time, "rank": rank})
+
+        mid = (l + r) // 2
+
+        if rank == self.data[mid]["rank"]:
+            return self.data.insert(mid, {"val": val, "time": time, "rank": rank})
+
+        if rank > self.data[mid]["rank"]:
+            return self.binsert(val, time, rank, mid+1, r)
+
+        if rank < self.data[mid]["rank"]:
+            return self.binsert(val, time, rank, l, mid)
+        
+    def push(self, val, rank=0, time=0, insertion_count=None) -> None:
+        """Pushes to a PIEO.
+        Inserts element such that rank ordering is preserved
+        """
+        
+        # Breaks ties and maintains FIFO order (can pass either custom insertion order or use PIEO internal one).
+        # Left-shifts the rank 32 bits, before adding either a passed in `insertion_count` parameter or the internal one.
+        rank = (rank << 32) + (insertion_count or self.insertion_count)
+
+        #If there is no room left in the queue, raise an Overflow error
+        if len(self.data) == self.max_len:
+            raise QueueError("Overflow")
+        
+        #If there are no elements in the queue, or the latest rank is higher than all others, append to the end
+        if len(self.data) == 0 or rank >= self.data[len(self.data)-1]["rank"]:
+            self.data.append({"val": val, "time": time, "rank": rank})
+
+        #If the latest rank is lower than all others, insert to the front
+        elif rank <= self.data[0]["rank"]:
+            self.data.insert(0, {"val": val, "time": time, "rank": rank})
+
+        #Otherwise, use the log-time insertion function
+        else:
+            self.binsert(val, time, rank, 0, len(self.data))
+        
+        self.insertion_count += 1
+     
+    def query(self, time=0, val=None, remove=False, return_rank=False) -> Optional[int]:
+        """Queries a PIEO. Returns matching value and rank.
+        Pops the PIEO if remove is True. Peeks otherwise.
+        
+        Takes in a time (default 0), and possibly a value. Uses the time for
+        the eligibility predicate. If the value is passed in, returns the first
+        eligible (ripe) value which matches the passed value parameter.
+        """
+
+        if len(self.data) == 0:
+            raise QueueError("Underflow")
+        
+        #If there is only a time predicate
+        if val is None:
+            #Iterate until we find the first 'ripe' (time-ready) element
+            for x in range(len(self.data)):
+                if self.is_ripe(self.data[x], time):
+                    if return_rank:
+                        return self.data.pop(x) if remove else self.data[x]
+                    return self.data.pop(x)["val"] if remove else self.data[x]["val"]
+
+            #No ripe elements
+            raise QueueError("Underflow")
+            
+        #Otherwise, the first element that matches the queried value & is 'ripe'
+        for x in range(len(self.data)):
+            if self.data[x]["val"] == val and self.is_ripe(self.data[x], time):
+                if return_rank:
+                    return self.data.pop(x) if remove else self.data[x]
+                return self.data.pop(x)["val"] if remove else self.data[x]["val"]
+        
+        #No ripe elements matching value
+        raise QueueError("Underflow")
+    
+    def pop(self, time=0, val=None, return_rank=False) -> Optional[int]:
+        """Pops a PIEO. See query() for specifics."""
+
+        return self.query(time, val, True, return_rank)
+
+    def peek(self, time=0, val=None, return_rank=False) -> Optional[int]:
+        """Peeks a PIEO. See query() for specifics."""
+
+        return self.query(time, val, False, return_rank)
+
+@dataclass
+class PCQ:
+    """A Programmable Calendar Queue (PCQ) data structure.
+    Supports the operations `push`, `pop`, and `peek`, by time predicate and value.
+
+    See the papers https://www.usenix.org/system/files/nsdi20-paper-sharma.pdf and 
+    https://dl.acm.org/doi/pdf/10.1145/63039.63045 for details.
+
+    Elements are stored in buckets within which they are ordered by priority. For our implementation,
+    each bucket takes on the form of a PIEO. Bucket priority is determined by the 'day pointer',
+    which points to the current bucket with highest priority. 
+
+    At initialization we initialize `data` to be a list of empty buckets, each of which
+    has the form of a PIEO with max length 16.
+
+    We store the number of elements that have already been inserted into the queue, initialized at 0.
+    With each iteration, we increment this.
+    
+    When inserting elements into the queue, we pass in this parameter along with the specified rank,
+    so that it is factored into a modified rank calculation that removes all ties between ranks.
+    (See PIEO documentation for details of this modified rank calculation.)
+
+    When asked to push:
+    - We compute the bucket to push to as the rank of the new element multiplied by bucket width,
+    wrapped around to be within the size of the queue.
+    - We then insert said new element into its assigned bucket such that the rank order is preserved.
+
+    When asked to pop:
+    - If the length of `data` is 0, we raise an error .
+    - Otherwise, we pop the lowest-rank element in the queue.
+    - If, following our pop, the bucket is empty, we rotate to the next bucket.
+
+    When asked to peek:
+    We do the same thing as `pop`, except:
+    - We peek into the PCQ instead of popping it - i.e. we don't remove any elements.
+
+    We compactly represent these similar operations through `query`, which takes in an additional
+    optional `remove` parameter (defaulted to False) to determine whether to pop or peek.
+    """
+
+    def __init__(self, max_len: int, num_buckets=200, width=10, initial_day=0):
+        self.width = width
+        self.day = initial_day
+        self.max_len = max_len
+        self.num_elements = 0
+        self.data = []
+        self.bucket_ranges = []
+        self.insertion_count = 0
+        for i in range(num_buckets):
+            self.data.append(Pieo(16))
+            self.bucket_ranges.append((i*width, (i+1)*width))
+    
+    def rotate(self) -> None:
+        """Rotates a PCQ and changes the 'top' parameter of the previous bucket."""
+        buckettop = self.bucket_ranges[self.day][1]
+        self.bucket_ranges[self.day] = (buckettop, buckettop + self.width)
+        self.day = (self.day + 1) % len(self.data)
+
+    def push(self, val: int, rank=0, time=0) -> None:
+        """Pushes a value with some rank/priority to a PCQ"""
+
+        if self.num_elements == self.max_len:
+            raise QueueError("Overflow")
+
+        location = (rank * self.width) % len(self.data)
+
+        try:
+            self.data[location].push(val, rank, time, self.insertion_count)
+            self.num_elements += 1
+            self.insertion_count += 1
+        except QueueError:
+            raise QueueError("Overflow")
+
+    
+    def query(self, remove=False, time=0, val=None) -> Optional[int]:
+        """Queries a PCQ."""
+
+        if self.num_elements == 0:
+            raise QueueError("Underflow")
+    
+        possible_values = []
+
+        for bucket in self.data:
+            try:
+                peeked = bucket.peek(time, val, True)
+                possible_values.append((bucket, peeked))
+            except QueueError:
+                continue
+        if len(possible_values) > 0:
+            possible_values.sort(key = lambda x : x[1]["rank"])
+            bucket, element  = possible_values[0]
+            time, val = element["time"], element["val"]
+            if remove:
+                result = bucket.pop(time, val, False)
+                self.num_elements -= 1
+                if len(bucket.data) == 0:
+                    self.rotate()
+                return result
+            else:
+                return val
+    
+        raise QueueError(str(self.data) + "Underflow")
+    
+    def pop(self, time=0, val=None) -> Optional[int]:
+        """Pops a PCQ. If we iterate through every bucket and can't find a value, raise underflow."""
+
+        return self.query(True, time, val)
+    
+    def peek(self, time=0, val=None) -> Optional[int]:
+        """Peeks a PCQ. If we iterate through every bucket and can't find a value, raise underflow."""
+
+        return self.query(False, time, val)
+
 
 @dataclass
 class Binheap:
@@ -170,22 +520,23 @@ def __init__(self, max_len):
         self.counter = 0
         self.max_len = max_len
 
-    def push(self, rnk, val):
+
+    def push(self, val: int, rank, *_) -> None:
         """Pushes `(rnk, val)` to the Binary Heap."""
         if self.len == self.max_len:
             raise QueueError("Cannot push to full Binary Heap.")
         self.counter += 1
         self.len += 1
-        heapq.heappush(self.heap, RankValue((rnk << 32) + self.counter, val))
+        heapq.heappush(self.heap, RankValue((rank << 32) + self.counter, val))
 
-    def pop(self) -> Optional[int]:
+    def pop(self, *_) -> Optional[int]:
         """Pops the Binary Heap."""
         if self.len == 0:
             raise QueueError("Cannot pop from empty Binary Heap.")
         self.len -= 1
         return heapq.heappop(self.heap).value
 
-    def peek(self) -> Optional[int]:
+    def peek(self, *_) -> Optional[int]:
         """Peeks into the Binary Heap."""
         if self.len == 0:
             raise QueueError("Cannot peek from empty Binary Heap.")
@@ -233,7 +584,7 @@ def __init__(self, n, boundaries, max_len: int):
             self.pifo_len <= self.max_len
         )  # We can't be initialized with a PIFO that is too long.
 
-    def push(self, val: int):
+    def push(self, val: int, *_):
         """Pushes `val` to the PIFO."""
         if self.pifo_len == self.max_len:
             raise QueueError("Cannot push to full PIFO.")
@@ -247,7 +598,7 @@ def increment_hot(self):
         """Increments `hot`, taking into account wraparound."""
         self.hot = 0 if self.hot == (self.n - 1) else self.hot + 1
 
-    def pop(self) -> Optional[int]:
+    def pop(self, *_) -> Optional[int]:
         """Pops the PIFO by popping some internal FIFO.
         Updates `hot` to be one more than the index of the internal FIFO that
         we did pop.
@@ -266,7 +617,7 @@ def pop(self) -> Optional[int]:
             except QueueError:
                 self.increment_hot()
 
-    def peek(self) -> Optional[int]:
+    def peek(self, *_) -> Optional[int]:
         """Peeks into the PIFO. Does not affect what `hot` is."""
         if self.pifo_len == 0:
             raise QueueError("Cannot peek into empty PIFO.")
@@ -285,7 +636,6 @@ def peek(self) -> Optional[int]:
     def __len__(self) -> int:
         return self.pifo_len
 
-
 @dataclass
 class StrictPifo:
     """
@@ -329,7 +679,7 @@ def __init__(self, n, boundaries, order, max_len: int):
 
         self.max_len = max_len
 
-    def push(self, val: int):
+    def push(self, val: int, *_):
         """Works the same as in RRQueue. Pushes `val` to the PIFO."""
         if self.pifo_len == self.max_len:
             raise QueueError("Cannot push to full PIFO.")
@@ -344,7 +694,7 @@ def next_priority(self):
         """Increments priority, taking into account wrap around."""
         self.priority = 0 if self.priority == (self.n - 1) else self.priority + 1
 
-    def pop(self):
+    def pop(self,  *_):
         """Pops the PIFO."""
         if self.pifo_len == 0:
             raise QueueError("Cannot pop from empty PIFO.")
@@ -363,7 +713,7 @@ def pop(self):
             except QueueError:
                 self.next_priority()
 
-    def peek(self) -> Optional[int]:
+    def peek(self,  *_) -> Optional[int]:
         """Peeks into the PIFO."""
         if self.pifo_len == 0:
             raise QueueError("Cannot peek into empty PIFO.")
@@ -384,41 +734,68 @@ def __len__(self) -> int:
         return self.pifo_len
 
 
-def operate_queue(queue, max_cmds, commands, values, ranks=None, keepgoing=False):
-    """Given the two lists, one of commands and one of values.
-    Feed these into our queue, and return the answer memory.
+def operate_queue(queue, max_cmds, commands, values, ranks=None, times=None, keepgoing=None):
+    """Given the four lists
+    (One of commands, one of values, one of ranks, one of times):
+    - Note that `commands` and `values` are required,
+      while `ranks` and `times` are optional lists depending on the queue type.
+    - Feed these into our queue, and return the answer memory.
+    - Commands correspond to:
+        0 : pop (for non-work-conserving queues, pop by predicate)
+        1 : peek (for non-work-conserving queues, peek by predicate)
+        2 : push
+        3 : pop by value (only for non-work-conserving queues)
+        4 : peek by value (only for non-work-conserving queues)
     """
-
     ans = []
-    ranks_or_values = values if ranks is None else ranks
-    for cmd, val, rnk in zip(commands, values, ranks_or_values):
-        if cmd == 0:
+    ranks = ranks or [0] * len(values)
+    times = times or [0] * len(values)
+
+    for cmd, val, rank, time in zip(commands, values, ranks, times):
+ 
+        if cmd == 0: #Pop (with possible time predicate)
             try:
-                ans.append(queue.pop())
+                ans.append(queue.pop(time))
+            except QueueError:
+                if keepgoing:
+                    continue
+                break
+            
+        elif cmd == 1: #Peek (with possible time predicate)
+            try:
+                ans.append(queue.peek(time))
             except QueueError:
                 if keepgoing:
                     continue
                 break
 
-        elif cmd == 1:
+        elif cmd == 2: #Push
             try:
-                ans.append(queue.peek())
+                queue.push(val, rank, time)
             except QueueError:
                 if keepgoing:
                     continue
                 break
 
-        elif cmd == 2:
+        elif cmd == 3: #Pop with value parameter
             try:
-                if ranks is None:
-                    queue.push(val)
-                else:
-                    queue.push(rnk, val)
+                ans.append(queue.pop(time, val))
             except QueueError:
                 if keepgoing:
                     continue
                 break
 
-    # Pad the answer memory with zeroes until it is of length `max_cmds`.
+        elif cmd == 4: #Peek with value parameter
+            try:
+                ans.append(queue.peek(time, val))
+            except QueueError:
+                if keepgoing:
+                    continue
+                break
+        
+        else:
+            raise CmdError("Unrecognized command.")
+
+    # Pad the answer memory with zeroes until it is of length MAX_CMDS.
     ans += [0] * (max_cmds - len(ans))
-    return ans
+    return ans
\ No newline at end of file
diff --git a/calyx-py/calyx/rrqueue_oracle.py b/calyx-py/calyx/rr_queue_oracle.py
similarity index 92%
rename from calyx-py/calyx/rrqueue_oracle.py
rename to calyx-py/calyx/rr_queue_oracle.py
index de7c5da463..2985b5ef6c 100644
--- a/calyx-py/calyx/rrqueue_oracle.py
+++ b/calyx-py/calyx/rr_queue_oracle.py
@@ -6,7 +6,7 @@
 if __name__ == "__main__":
     num_cmds, len, numflows = int(sys.argv[1]), int(sys.argv[2]), int(sys.argv[3])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, _ = queue_util.parse_json()
+    commands, values, _, _ = queue_util.parse_json()
 
     # In reality, we would allow the user to specify the boundaries via
     # command line arguments or a configuration file. For now, we hardcode them
@@ -32,4 +32,4 @@
 
     ans = queues.operate_queue(pifo, num_cmds, commands, values, keepgoing=keepgoing)
 
-    queue_util.dump_json(ans, commands, values)
+    queue_util.dump_json(commands, values, ans)
diff --git a/calyx-py/calyx/strict_queue_oracle.py b/calyx-py/calyx/strict_queue_oracle.py
index 040dc99f5d..61aa4a85e8 100644
--- a/calyx-py/calyx/strict_queue_oracle.py
+++ b/calyx-py/calyx/strict_queue_oracle.py
@@ -5,7 +5,7 @@
 if __name__ == "__main__":
     num_cmds, len, numflows = int(sys.argv[1]), int(sys.argv[2]), int(sys.argv[3])
     keepgoing = "--keepgoing" in sys.argv
-    commands, values, _ = queue_util.parse_json()
+    commands, values, _, _ = queue_util.parse_json()
 
     if numflows == 2:
         boundaries = [200, 400]
@@ -32,4 +32,4 @@
 
     ans = queues.operate_queue(pifo, num_cmds, commands, values, keepgoing=keepgoing)
 
-    queue_util.dump_json(ans, commands, values)
\ No newline at end of file
+    queue_util.dump_json(commands, values, ans)
\ No newline at end of file
diff --git a/calyx-py/test/correctness/queues/nwc_simple.data b/calyx-py/test/correctness/queues/nwc_simple.data
new file mode 100644
index 0000000000..33ecad70f4
--- /dev/null
+++ b/calyx-py/test/correctness/queues/nwc_simple.data
@@ -0,0 +1,100047 @@
+{
+  "commands": {
+    "data": [
+      4,
+      2,
+      2,
+      4,
+      0,
+      3,
+      1,
+      0,
+      1,
+      0,
+      2,
+      3,
+      1,
+      3,
+      4,
+      0,
+      4,
+      1,
+      0,
+      1,
+      3,
+      2,
+      1,
+      3,
+      1,
+      0,
+      1,
+      4,
+      4,
+      3,
+      1,
+      1,
+      0,
+      0,
+      1,
+      1,
+      1,
+      1,
+      2,
+      2,
+      1,
+      4,
+      1,
+      1,
+      1,
+      3,
+      2,
+      0,
+      2,
+      3,
+      1,
+      1,
+      2,
+      0,
+      2,
+      2,
+      4,
+      4,
+      0,
+      4,
+      2,
+      0,
+      2,
+      2,
+      2,
+      3,
+      2,
+      1,
+      3,
+      3,
+      1,
+      0,
+      2,
+      0,
+      2,
+      3,
+      0,
+      4,
+      3,
+      2,
+      3,
+      4,
+      0,
+      3,
+      0,
+      1,
+      4,
+      1,
+      0,
+      1,
+      3,
+      2,
+      4,
+      2,
+      4,
+      2,
+      3,
+      0,
+      4,
+      2,
+      2,
+      0,
+      3,
+      0,
+      1,
+      2,
+      4,
+      4,
+      2,
+      1,
+      2,
+      2,
+      4,
+      0,
+      2,
+      2,
+      2,
+      1,
+      0,
+      1,
+      2,
+      3,
+      1,
+      0,
+      0,
+      4,
+      4,
+      3,
+      0,
+      1,
+      4,
+      2,
+      2,
+      3,
+      3,
+      1,
+      0,
+      0,
+      3,
+      2,
+      1,
+      1,
+      4,
+      1,
+      3,
+      0,
+      1,
+      3,
+      2,
+      1,
+      0,
+      3,
+      2,
+      1,
+      3,
+      4,
+      1,
+      4,
+      3,
+      3,
+      2,
+      3,
+      2,
+      2,
+      3,
+      3,
+      1,
+      0,
+      3,
+      4,
+      1,
+      3,
+      2,
+      1,
+      0,
+      3,
+      2,
+      4,
+      4,
+      4,
+      2,
+      0,
+      2,
+      4,
+      0,
+      2,
+      2,
+      4,
+      2,
+      3,
+      2,
+      2,
+      2,
+      1,
+      4,
+      0,
+      3,
+      4,
+      2,
+      2,
+      2,
+      3,
+      2,
+      4,
+      2,
+      2,
+      2,
+      2,
+      3,
+      2,
+      1,
+      3,
+      2,
+      2,
+      4,
+      1,
+      4,
+      1,
+      1,
+      2,
+      3,
+      2,
+      0,
+      3,
+      1,
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+      4,
+      4,
+      3,
+      2,
+      4,
+      4,
+      2,
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+      1,
+      1,
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+      3,
+      4,
+      1,
+      1,
+      1,
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+      3,
+      1,
+      1,
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diff --git a/calyx-py/test/correctness/queues/nwc_simple.expect b/calyx-py/test/correctness/queues/nwc_simple.expect
new file mode 100644
index 0000000000..df7febcf61
--- /dev/null
+++ b/calyx-py/test/correctness/queues/nwc_simple.expect
@@ -0,0 +1,100012 @@
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diff --git a/calyx-py/test/correctness/queues/pcq.data b/calyx-py/test/correctness/queues/pcq.data
new file mode 100644
index 0000000000..33ecad70f4
--- /dev/null
+++ b/calyx-py/test/correctness/queues/pcq.data
@@ -0,0 +1,100047 @@
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diff --git a/calyx-py/test/correctness/queues/pcq.expect b/calyx-py/test/correctness/queues/pcq.expect
new file mode 100644
index 0000000000..df7febcf61
--- /dev/null
+++ b/calyx-py/test/correctness/queues/pcq.expect
@@ -0,0 +1,100012 @@
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diff --git a/calyx-py/test/correctness/queues/pieo.data b/calyx-py/test/correctness/queues/pieo.data
new file mode 100644
index 0000000000..33ecad70f4
--- /dev/null
+++ b/calyx-py/test/correctness/queues/pieo.data
@@ -0,0 +1,100047 @@
+{
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diff --git a/calyx-py/test/correctness/queues/pieo.expect b/calyx-py/test/correctness/queues/pieo.expect
new file mode 100644
index 0000000000..df7febcf61
--- /dev/null
+++ b/calyx-py/test/correctness/queues/pieo.expect
@@ -0,0 +1,100012 @@
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+}