diff --git a/midas/checker/checker.py b/midas/checker/checker.py
index 13b7855..9ed50f0 100644
--- a/midas/checker/checker.py
+++ b/midas/checker/checker.py
@@ -15,6 +15,7 @@ from midas.checker.types import (
     BaseType,
     ComplexType,
     Function,
+    Operation,
     Type,
     UnitType,
     UnknownType,
@@ -490,14 +491,48 @@ class Checker(
         left: Type = self.type_of(expr.left)
         right: Type = self.type_of(expr.right)
 
-        result: Optional[Type] = self.ctx.get_operation_result(left, method, right)
-        if result is None:
+        operations: list[Operation] = self.ctx.get_operations_by_name(method)
+        valid_operations: list[Operation] = []
+        for op in operations:
+            sig: Operation.CallSignature = op.signature
+            if self.is_subtype(left, sig.left) and self.is_subtype(right, sig.right):
+                valid_operations.append(op)
+
+        if len(valid_operations) == 0:
             self.error(
                 expr.location,
                 f"Undefined operation {method} between {left} and {right}",
             )
             return UnknownType()
-        return result
+        elif len(valid_operations) == 1:
+            self.logger.debug(f"Unique operation {method} between {left} and {right}")
+            return valid_operations[0].result
+
+        for i, op1 in enumerate(valid_operations):
+            sig1: Operation.CallSignature = op1.signature
+            best_match: bool = True
+            for j, op2 in enumerate(valid_operations):
+                if i == j:
+                    continue
+                sig2: Operation.CallSignature = op2.signature
+                if not self.is_subtype(sig1.left, sig2.left) or not self.is_subtype(
+                    sig1.right, sig2.right
+                ):
+                    best_match = False
+                    break
+                self.logger.debug(f"{op1} is a full overload of {op2}")
+            if best_match:
+                return op1.result
+
+        overloads: list[str] = [
+            f"({op.signature.left} {op.signature.method} {op.signature.right}) -> {op.result}"
+            for op in valid_operations
+        ]
+        self.error(
+            expr.location,
+            f"Ambiguous operation {method} between {left} and {right}, multiple matching overloads: {', '.join(overloads)}",
+        )
+        return UnknownType()
 
     def visit_compare_expr(self, expr: p.CompareExpr) -> Type:
         method: Optional[str] = COMPARATOR_METHODS.get(expr.operator.__class__)
diff --git a/midas/checker/types.py b/midas/checker/types.py
index c1d4449..83707b6 100644
--- a/midas/checker/types.py
+++ b/midas/checker/types.py
@@ -45,4 +45,16 @@ class ComplexType:
     properties: dict[str, Type]
 
 
+@dataclass(frozen=True, kw_only=True)
+class Operation:
+    signature: CallSignature
+    result: Type
+
+    @dataclass(frozen=True, kw_only=True)
+    class CallSignature:
+        left: Type
+        method: str
+        right: Type
+
+
 Type = BaseType | AliasType | UnknownType | UnitType | Function | ComplexType
diff --git a/midas/resolver/midas.py b/midas/resolver/midas.py
index acbbe96..2962b09 100644
--- a/midas/resolver/midas.py
+++ b/midas/resolver/midas.py
@@ -3,6 +3,7 @@ from typing import Optional
 import midas.ast.midas as m
 from midas.checker.types import (
     AliasType,
+    Operation,
     Type,
     UnknownType,
 )
@@ -14,7 +15,7 @@ class MidasResolver(m.Stmt.Visitor[None], m.Expr.Visitor[None], m.Type.Visitor[T
 
     def __init__(self) -> None:
         self._types: dict[str, Type] = {}
-        self._operations: dict[tuple[Type, str, Type], Type] = {}
+        self._operations: dict[Operation.CallSignature, Type] = {}
 
         define_builtins(self)
 
@@ -48,10 +49,26 @@ class MidasResolver(m.Stmt.Visitor[None], m.Expr.Visitor[None], m.Type.Visitor[T
         Returns:
             Optional[Type]: the result type, or None if no matching operation was found
         """
-        operation: tuple[Type, str, Type] = (left, operator, right)
-        result: Optional[Type] = self._operations.get(operation)
+        signature: Operation.CallSignature = Operation.CallSignature(
+            left=left,
+            method=operator,
+            right=right,
+        )
+        result: Optional[Type] = self._operations.get(signature)
         return result
 
+    def get_operations_by_name(self, name: str) -> list[Operation]:
+        operations: list[Operation] = []
+        for signature, result in self._operations.items():
+            if signature.method == name:
+                operations.append(
+                    Operation(
+                        signature=signature,
+                        result=result,
+                    )
+                )
+        return operations
+
     def define_type(self, name: str, type: Type) -> Type:
         """Define a type in the registry
 
@@ -82,12 +99,16 @@ class MidasResolver(m.Stmt.Visitor[None], m.Expr.Visitor[None], m.Type.Visitor[T
         Raises:
             ValueError: if an operation is already defined with these operands and name
         """
-        operation: tuple[Type, str, Type] = (left, operator, right)
-        if operation in self._operations:
+        signature: Operation.CallSignature = Operation.CallSignature(
+            left=left,
+            method=operator,
+            right=right,
+        )
+        if signature in self._operations:
             raise ValueError(
                 f"Operation {operator} already defined between {left} and {right}"
             )
-        self._operations[operation] = result
+        self._operations[signature] = result
 
     def resolve(self, stmts: list[m.Stmt]):
         """Process a sequence of statements