diff --git a/supernova/src/circuits/nova/mod.rs b/supernova/src/circuits/nova/mod.rs
index 6f51b419..e5bece43 100644
--- a/supernova/src/circuits/nova/mod.rs
+++ b/supernova/src/circuits/nova/mod.rs
@@ -4,4 +4,4 @@ pub mod sequential;
 pub mod public_params;
 
 pub use super::{NovaConstraintSynthesizer, StepCircuit};
-pub use crate::multifold::Error;
+pub use crate::folding::nova::cyclefold::Error;
diff --git a/supernova/src/circuits/nova/pcd/augmented.rs b/supernova/src/circuits/nova/pcd/augmented.rs
index efa35fe6..b9ea9729 100644
--- a/supernova/src/circuits/nova/pcd/augmented.rs
+++ b/supernova/src/circuits/nova/pcd/augmented.rs
@@ -22,14 +22,14 @@ use ark_std::Zero;
 use crate::{
     circuits::{NovaConstraintSynthesizer, StepCircuit},
     commitment::CommitmentScheme,
-    gadgets::multifold::{
-        multifold, multifold_with_relaxed, primary, secondary, NonNativeAffineVar,
-    },
-    multifold::{
+    folding::nova::cyclefold::{
         self,
         nimfs::{NIMFSProof, R1CSInstance, R1CSShape, RelaxedR1CSInstance},
         secondary::Circuit as SecondaryCircuit,
     },
+    gadgets::cyclefold::{
+        multifold, multifold_with_relaxed, primary, secondary, NonNativeAffineVar,
+    },
 };
 
 pub const SQUEEZE_NATIVE_ELEMENTS_NUM: usize = 1;
@@ -298,7 +298,7 @@ where
             NovaAugmentedCircuitInput::Base { vk, i, z_i } => {
                 let shape =
                     R1CSShape::<G1>::new(0, 0, AUGMENTED_CIRCUIT_NUM_IO, &[], &[], &[]).unwrap();
-                let shape_secondary = multifold::secondary::setup_shape::<G1, G2>()?;
+                let shape_secondary = cyclefold::secondary::setup_shape::<G1, G2>()?;
 
                 let U = RelaxedR1CSInstance::<G1, C1>::new(&shape);
                 let U_secondary = RelaxedR1CSInstance::<G2, C2>::new(&shape_secondary);
diff --git a/supernova/src/circuits/nova/pcd/compression/conversion.rs b/supernova/src/circuits/nova/pcd/compression/conversion.rs
index 407478bf..0baee1c1 100644
--- a/supernova/src/circuits/nova/pcd/compression/conversion.rs
+++ b/supernova/src/circuits/nova/pcd/compression/conversion.rs
@@ -8,7 +8,7 @@ use ark_spartan::{
 
 use super::PolyVectorCommitment;
 use crate::{
-    multifold::nimfs::{R1CSShape, RelaxedR1CSInstance, RelaxedR1CSWitness},
+    folding::nova::cyclefold::nimfs::{R1CSShape, RelaxedR1CSInstance, RelaxedR1CSWitness},
     r1cs::SparseMatrix,
 };
 
diff --git a/supernova/src/circuits/nova/pcd/compression/error.rs b/supernova/src/circuits/nova/pcd/compression/error.rs
index a330286c..247fd189 100644
--- a/supernova/src/circuits/nova/pcd/compression/error.rs
+++ b/supernova/src/circuits/nova/pcd/compression/error.rs
@@ -2,7 +2,7 @@ use ark_relations::r1cs::SynthesisError;
 use ark_spartan::errors::ProofVerifyError;
 
 use super::conversion::ConversionError;
-pub use crate::multifold::Error as NovaError;
+pub use crate::folding::nova::cyclefold::Error as NovaError;
 
 #[derive(Debug)]
 pub enum ProofError {
diff --git a/supernova/src/circuits/nova/pcd/compression/mod.rs b/supernova/src/circuits/nova/pcd/compression/mod.rs
index a5c6af7a..9571517c 100644
--- a/supernova/src/circuits/nova/pcd/compression/mod.rs
+++ b/supernova/src/circuits/nova/pcd/compression/mod.rs
@@ -20,7 +20,9 @@ use super::PublicParams;
 use crate::{
     absorb::CryptographicSpongeExt,
     commitment::CommitmentScheme,
-    multifold::nimfs::{NIMFSProof, R1CSInstance, RelaxedR1CSInstance, RelaxedR1CSWitness},
+    folding::nova::cyclefold::nimfs::{
+        NIMFSProof, R1CSInstance, RelaxedR1CSInstance, RelaxedR1CSWitness,
+    },
     nova::pcd::{augmented::SQUEEZE_NATIVE_ELEMENTS_NUM, PCDNode},
     StepCircuit, LOG_TARGET,
 };
diff --git a/supernova/src/circuits/nova/pcd/mod.rs b/supernova/src/circuits/nova/pcd/mod.rs
index 069c5e40..e90ecb7d 100644
--- a/supernova/src/circuits/nova/pcd/mod.rs
+++ b/supernova/src/circuits/nova/pcd/mod.rs
@@ -14,7 +14,7 @@ use super::{public_params, NovaConstraintSynthesizer, StepCircuit};
 use crate::{
     absorb::CryptographicSpongeExt,
     commitment::CommitmentScheme,
-    multifold::{
+    folding::nova::cyclefold::{
         self,
         nimfs::{
             NIMFSProof, R1CSInstance, R1CSShape, R1CSWitness, RelaxedR1CSInstance,
@@ -56,7 +56,7 @@ where
         step_circuit: &SC,
         aux1: &C1::SetupAux,
         aux2: &C2::SetupAux,
-    ) -> Result<public_params::PublicParams<G1, G2, C1, C2, RO, SC, Self>, multifold::Error> {
+    ) -> Result<public_params::PublicParams<G1, G2, C1, C2, RO, SC, Self>, cyclefold::Error> {
         let _span = tracing::debug_span!(target: LOG_TARGET, "setup").entered();
 
         let i = G1::ScalarField::ZERO;
@@ -76,7 +76,7 @@ where
         cs.finalize();
 
         let shape = R1CSShape::from(cs);
-        let shape_secondary = multifold::secondary::setup_shape::<G1, G2>()?;
+        let shape_secondary = cyclefold::secondary::setup_shape::<G1, G2>()?;
 
         let pp = C1::setup(shape.num_vars.max(shape.num_constraints), aux1);
         let pp_secondary = C2::setup(
@@ -169,7 +169,7 @@ where
         step_circuit: &SC,
         i: usize,
         z_i: &[G1::ScalarField],
-    ) -> Result<Self, multifold::Error> {
+    ) -> Result<Self, cyclefold::Error> {
         Self::prove_step_with_commit_fn(params, step_circuit, i, z_i, |pp, w| w.commit::<C1>(pp))
     }
 
@@ -181,7 +181,7 @@ where
         i: usize,
         z_i: &[G1::ScalarField],
         mut commit_fn: impl FnMut(&C1::PP, &R1CSWitness<G1>) -> C1::Commitment,
-    ) -> Result<Self, multifold::Error> {
+    ) -> Result<Self, cyclefold::Error> {
         let _span = tracing::debug_span!(
             target: LOG_TARGET,
             "prove_step",
@@ -249,7 +249,7 @@ where
         step_circuit: &SC,
         left_node: &Self,
         right_node: &Self,
-    ) -> Result<Self, multifold::Error> {
+    ) -> Result<Self, cyclefold::Error> {
         Self::prove_from_with_commit_fn(params, step_circuit, left_node, right_node, |pp, w| {
             w.commit::<C1>(pp)
         })
@@ -261,7 +261,7 @@ where
         left_node: &Self,
         right_node: &Self,
         mut commit_fn: impl FnMut(&C1::PP, &R1CSWitness<G1>) -> C1::Commitment,
-    ) -> Result<Self, multifold::Error> {
+    ) -> Result<Self, cyclefold::Error> {
         let _span = tracing::debug_span!(
             target: LOG_TARGET,
             "prove_from",
@@ -378,7 +378,7 @@ where
     pub fn verify(
         &self,
         params: &PublicParams<G1, G2, C1, C2, RO, SC>,
-    ) -> Result<(), multifold::Error> {
+    ) -> Result<(), cyclefold::Error> {
         let _span = tracing::debug_span!(
             target: LOG_TARGET,
             "verify",
@@ -387,8 +387,8 @@ where
         )
         .entered();
 
-        const NOT_SATISFIED_ERROR: multifold::Error =
-            multifold::Error::R1CS(crate::r1cs::Error::NotSatisfied);
+        const NOT_SATISFIED_ERROR: cyclefold::Error =
+            cyclefold::Error::R1CS(crate::r1cs::Error::NotSatisfied);
         let PCDNode {
             i,
             j,
@@ -456,7 +456,7 @@ mod tests {
         .unwrap()
     }
 
-    fn ivc_base_step_with_cycle<G1, G2, C1, C2>() -> Result<(), multifold::Error>
+    fn ivc_base_step_with_cycle<G1, G2, C1, C2>() -> Result<(), cyclefold::Error>
     where
         G1: SWCurveConfig,
         G2: SWCurveConfig<BaseField = G1::ScalarField, ScalarField = G1::BaseField>,
@@ -499,7 +499,7 @@ mod tests {
         .unwrap()
     }
 
-    fn ivc_multiple_steps_with_cycle<G1, G2, C1, C2>() -> Result<(), multifold::Error>
+    fn ivc_multiple_steps_with_cycle<G1, G2, C1, C2>() -> Result<(), cyclefold::Error>
     where
         G1: SWCurveConfig,
         G2: SWCurveConfig<BaseField = G1::ScalarField, ScalarField = G1::BaseField>,
diff --git a/supernova/src/circuits/nova/public_params.rs b/supernova/src/circuits/nova/public_params.rs
index 537939e7..b731582d 100644
--- a/supernova/src/circuits/nova/public_params.rs
+++ b/supernova/src/circuits/nova/public_params.rs
@@ -8,7 +8,7 @@ use ark_serialize::{CanonicalDeserialize, CanonicalSerialize, CanonicalSerialize
 use super::{Error, StepCircuit};
 use crate::{
     commitment::CommitmentScheme,
-    multifold::nimfs::{R1CSShape, SQUEEZE_ELEMENTS_BIT_SIZE},
+    folding::nova::cyclefold::nimfs::{R1CSShape, SQUEEZE_ELEMENTS_BIT_SIZE},
     utils,
 };
 
diff --git a/supernova/src/circuits/nova/sequential/augmented.rs b/supernova/src/circuits/nova/sequential/augmented.rs
index b04769f5..8d997f16 100644
--- a/supernova/src/circuits/nova/sequential/augmented.rs
+++ b/supernova/src/circuits/nova/sequential/augmented.rs
@@ -21,12 +21,12 @@ use ark_std::Zero;
 use crate::{
     circuits::{NovaConstraintSynthesizer, StepCircuit},
     commitment::CommitmentScheme,
-    gadgets::multifold::{multifold, primary, secondary, NonNativeAffineVar},
-    multifold::{
+    folding::nova::cyclefold::{
         self,
         nimfs::{NIMFSProof, R1CSInstance, R1CSShape, RelaxedR1CSInstance},
         secondary::Circuit as SecondaryCircuit,
     },
+    gadgets::cyclefold::{multifold, primary, secondary, NonNativeAffineVar},
 };
 
 pub const SQUEEZE_NATIVE_ELEMENTS_NUM: usize = 1;
@@ -138,7 +138,7 @@ where
             NovaAugmentedCircuitInput::Base { vk, z_0 } => {
                 let shape =
                     R1CSShape::<G1>::new(0, 0, AUGMENTED_CIRCUIT_NUM_IO, &[], &[], &[]).unwrap();
-                let shape_secondary = multifold::secondary::setup_shape::<G1, G2>()?;
+                let shape_secondary = cyclefold::secondary::setup_shape::<G1, G2>()?;
 
                 let U = RelaxedR1CSInstance::<G1, C1>::new(&shape);
                 let U_secondary = RelaxedR1CSInstance::<G2, C2>::new(&shape_secondary);
diff --git a/supernova/src/circuits/nova/sequential/mod.rs b/supernova/src/circuits/nova/sequential/mod.rs
index 7ea0a9a2..42b12eca 100644
--- a/supernova/src/circuits/nova/sequential/mod.rs
+++ b/supernova/src/circuits/nova/sequential/mod.rs
@@ -13,7 +13,7 @@ use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
 use crate::{
     absorb::CryptographicSpongeExt,
     commitment::CommitmentScheme,
-    multifold::{
+    folding::nova::cyclefold::{
         self,
         nimfs::{
             NIMFSProof, R1CSInstance, R1CSShape, R1CSWitness, RelaxedR1CSInstance,
@@ -53,7 +53,7 @@ where
         step_circuit: &SC,
         aux1: &C1::SetupAux,
         aux2: &C2::SetupAux,
-    ) -> Result<public_params::PublicParams<G1, G2, C1, C2, RO, SC, Self>, multifold::Error> {
+    ) -> Result<public_params::PublicParams<G1, G2, C1, C2, RO, SC, Self>, cyclefold::Error> {
         let _span = tracing::debug_span!(target: LOG_TARGET, "setup").entered();
 
         let z_0 = vec![G1::ScalarField::ZERO; SC::ARITY];
@@ -71,7 +71,7 @@ where
         cs.finalize();
 
         let shape = R1CSShape::from(cs);
-        let shape_secondary = multifold::secondary::setup_shape::<G1, G2>()?;
+        let shape_secondary = cyclefold::secondary::setup_shape::<G1, G2>()?;
 
         let pp = C1::setup(shape.num_vars.max(shape.num_constraints), aux1);
         let pp_secondary = C2::setup(
@@ -221,7 +221,7 @@ where
             .unwrap_or(0)
     }
 
-    pub fn prove_step(self, step_circuit: &SC) -> Result<Self, multifold::Error> {
+    pub fn prove_step(self, step_circuit: &SC) -> Result<Self, cyclefold::Error> {
         let _span = tracing::debug_span!(
             target: LOG_TARGET,
             "prove_step",
@@ -330,11 +330,11 @@ where
         })
     }
 
-    pub fn verify(&self, num_steps: usize) -> Result<(), multifold::Error> {
+    pub fn verify(&self, num_steps: usize) -> Result<(), cyclefold::Error> {
         let _span = tracing::debug_span!(target: LOG_TARGET, "verify", %num_steps).entered();
 
-        const NOT_SATISFIED_ERROR: multifold::Error =
-            multifold::Error::R1CS(crate::r1cs::Error::NotSatisfied);
+        const NOT_SATISFIED_ERROR: cyclefold::Error =
+            cyclefold::Error::R1CS(crate::r1cs::Error::NotSatisfied);
 
         let Some(non_base) = &self.non_base else {
             return Err(NOT_SATISFIED_ERROR);
@@ -436,7 +436,7 @@ pub(crate) mod tests {
         .unwrap()
     }
 
-    fn ivc_base_step_with_cycle<G1, G2, C1, C2>() -> Result<(), multifold::Error>
+    fn ivc_base_step_with_cycle<G1, G2, C1, C2>() -> Result<(), cyclefold::Error>
     where
         G1: SWCurveConfig,
         G2: SWCurveConfig<BaseField = G1::ScalarField, ScalarField = G1::BaseField>,
@@ -480,7 +480,7 @@ pub(crate) mod tests {
         .unwrap()
     }
 
-    fn ivc_multiple_steps_with_cycle<G1, G2, C1, C2>() -> Result<(), multifold::Error>
+    fn ivc_multiple_steps_with_cycle<G1, G2, C1, C2>() -> Result<(), cyclefold::Error>
     where
         G1: SWCurveConfig,
         G2: SWCurveConfig<BaseField = G1::ScalarField, ScalarField = G1::BaseField>,
diff --git a/supernova/src/ml_sumcheck/data_structures.rs b/supernova/src/folding/hypernova/ml_sumcheck/data_structures.rs
similarity index 100%
rename from supernova/src/ml_sumcheck/data_structures.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/data_structures.rs
diff --git a/supernova/src/ml_sumcheck/mod.rs b/supernova/src/folding/hypernova/ml_sumcheck/mod.rs
similarity index 100%
rename from supernova/src/ml_sumcheck/mod.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/mod.rs
diff --git a/supernova/src/ml_sumcheck/protocol/mod.rs b/supernova/src/folding/hypernova/ml_sumcheck/protocol/mod.rs
similarity index 100%
rename from supernova/src/ml_sumcheck/protocol/mod.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/protocol/mod.rs
diff --git a/supernova/src/ml_sumcheck/protocol/prover.rs b/supernova/src/folding/hypernova/ml_sumcheck/protocol/prover.rs
similarity index 99%
rename from supernova/src/ml_sumcheck/protocol/prover.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/protocol/prover.rs
index 7ebc2091..db51deb7 100644
--- a/supernova/src/ml_sumcheck/protocol/prover.rs
+++ b/supernova/src/folding/hypernova/ml_sumcheck/protocol/prover.rs
@@ -7,7 +7,7 @@ use ark_std::{cfg_iter_mut, vec::Vec};
 #[cfg(feature = "parallel")]
 use rayon::prelude::*;
 
-use crate::ml_sumcheck::{
+use super::super::{
     data_structures::ListOfProductsOfPolynomials,
     protocol::{verifier::VerifierMsg, IPForMLSumcheck},
 };
diff --git a/supernova/src/ml_sumcheck/protocol/verifier.rs b/supernova/src/folding/hypernova/ml_sumcheck/protocol/verifier.rs
similarity index 99%
rename from supernova/src/ml_sumcheck/protocol/verifier.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/protocol/verifier.rs
index 088cd6cb..b4c4b8f5 100644
--- a/supernova/src/ml_sumcheck/protocol/verifier.rs
+++ b/supernova/src/folding/hypernova/ml_sumcheck/protocol/verifier.rs
@@ -4,7 +4,7 @@ use ark_ff::{Field, PrimeField};
 use ark_serialize::{CanonicalDeserialize, CanonicalSerialize};
 use ark_std::vec::Vec;
 
-use crate::ml_sumcheck::{
+use super::super::{
     data_structures::PolynomialInfo,
     protocol::{prover::ProverMsg, IPForMLSumcheck},
     Error,
diff --git a/supernova/src/ml_sumcheck/tests.rs b/supernova/src/folding/hypernova/ml_sumcheck/tests.rs
similarity index 100%
rename from supernova/src/ml_sumcheck/tests.rs
rename to supernova/src/folding/hypernova/ml_sumcheck/tests.rs
diff --git a/supernova/src/folding/hypernova/mod.rs b/supernova/src/folding/hypernova/mod.rs
new file mode 100644
index 00000000..76c750ad
--- /dev/null
+++ b/supernova/src/folding/hypernova/mod.rs
@@ -0,0 +1 @@
+pub mod ml_sumcheck;
diff --git a/supernova/src/folding/mod.rs b/supernova/src/folding/mod.rs
new file mode 100644
index 00000000..d82a952b
--- /dev/null
+++ b/supernova/src/folding/mod.rs
@@ -0,0 +1,2 @@
+pub mod hypernova;
+pub mod nova;
diff --git a/supernova/src/multifold/mod.rs b/supernova/src/folding/nova/cyclefold/mod.rs
similarity index 76%
rename from supernova/src/multifold/mod.rs
rename to supernova/src/folding/nova/cyclefold/mod.rs
index a427ca91..c9fa4629 100644
--- a/supernova/src/multifold/mod.rs
+++ b/supernova/src/folding/nova/cyclefold/mod.rs
@@ -1,17 +1,19 @@
 pub(crate) mod nimfs;
 pub(crate) mod secondary;
 
+use crate::r1cs::Error as R1CSError;
+
 #[derive(Debug, Clone, Copy)]
 pub enum Error {
-    R1CS(super::r1cs::Error),
+    R1CS(R1CSError),
     Synthesis(ark_relations::r1cs::SynthesisError),
 
     #[cfg(any(test, feature = "spartan"))]
     InvalidPublicInput,
 }
 
-impl From<super::r1cs::Error> for Error {
-    fn from(error: super::r1cs::Error) -> Self {
+impl From<R1CSError> for Error {
+    fn from(error: R1CSError) -> Self {
         Self::R1CS(error)
     }
 }
diff --git a/supernova/src/multifold/nimfs/mod.rs b/supernova/src/folding/nova/cyclefold/nimfs/mod.rs
similarity index 99%
rename from supernova/src/multifold/nimfs/mod.rs
rename to supernova/src/folding/nova/cyclefold/nimfs/mod.rs
index 640bd9c7..2f60d2ec 100644
--- a/supernova/src/multifold/nimfs/mod.rs
+++ b/supernova/src/folding/nova/cyclefold/nimfs/mod.rs
@@ -13,7 +13,7 @@ use crate::{
 
 pub(crate) mod relaxed;
 
-pub use crate::nifs::{NIFSProof, SQUEEZE_ELEMENTS_BIT_SIZE};
+pub use crate::folding::nova::nifs::{NIFSProof, SQUEEZE_ELEMENTS_BIT_SIZE};
 
 pub(crate) type R1CSShape<G> = r1cs::R1CSShape<Projective<G>>;
 pub(crate) type R1CSInstance<G, C> = r1cs::R1CSInstance<Projective<G>, C>;
diff --git a/supernova/src/multifold/nimfs/relaxed.rs b/supernova/src/folding/nova/cyclefold/nimfs/relaxed.rs
similarity index 99%
rename from supernova/src/multifold/nimfs/relaxed.rs
rename to supernova/src/folding/nova/cyclefold/nimfs/relaxed.rs
index d1e7752a..02ae62c1 100644
--- a/supernova/src/multifold/nimfs/relaxed.rs
+++ b/supernova/src/folding/nova/cyclefold/nimfs/relaxed.rs
@@ -5,7 +5,7 @@ use ark_ff::{Field, PrimeField};
 use crate::{
     absorb::CryptographicSpongeExt,
     commitment::{Commitment, CommitmentScheme},
-    multifold::secondary,
+    folding::nova::cyclefold::secondary,
     r1cs,
     utils::{cast_field_element, cast_field_element_unique},
 };
diff --git a/supernova/src/multifold/secondary/mod.rs b/supernova/src/folding/nova/cyclefold/secondary/mod.rs
similarity index 100%
rename from supernova/src/multifold/secondary/mod.rs
rename to supernova/src/folding/nova/cyclefold/secondary/mod.rs
diff --git a/supernova/src/folding/nova/mod.rs b/supernova/src/folding/nova/mod.rs
new file mode 100644
index 00000000..efa3170f
--- /dev/null
+++ b/supernova/src/folding/nova/mod.rs
@@ -0,0 +1,2 @@
+pub mod cyclefold;
+pub mod nifs;
diff --git a/supernova/src/nifs.rs b/supernova/src/folding/nova/nifs.rs
similarity index 99%
rename from supernova/src/nifs.rs
rename to supernova/src/folding/nova/nifs.rs
index 65e6b8f6..fd34bd12 100644
--- a/supernova/src/nifs.rs
+++ b/supernova/src/folding/nova/nifs.rs
@@ -4,7 +4,7 @@ use ark_crypto_primitives::sponge::{Absorb, CryptographicSponge, FieldElementSiz
 use ark_ec::CurveGroup;
 use ark_ff::{PrimeField, ToConstraintField};
 
-use super::{
+use crate::{
     absorb::{AbsorbNonNative, CryptographicSpongeExt},
     commitment::{Commitment, CommitmentScheme},
     r1cs::{self, R1CSShape, RelaxedR1CSInstance, RelaxedR1CSWitness},
diff --git a/supernova/src/gadgets/multifold/mod.rs b/supernova/src/gadgets/cyclefold/mod.rs
similarity index 99%
rename from supernova/src/gadgets/multifold/mod.rs
rename to supernova/src/gadgets/cyclefold/mod.rs
index c2cce118..7c947f17 100644
--- a/supernova/src/gadgets/multifold/mod.rs
+++ b/supernova/src/gadgets/cyclefold/mod.rs
@@ -16,7 +16,9 @@ pub(crate) mod primary;
 pub(crate) mod secondary;
 
 pub use super::nonnative::{cast_field_element_unique, short_weierstrass::NonNativeAffineVar};
-use crate::{commitment::CommitmentScheme, multifold::nimfs::SQUEEZE_ELEMENTS_BIT_SIZE};
+use crate::{
+    commitment::CommitmentScheme, folding::nova::cyclefold::nimfs::SQUEEZE_ELEMENTS_BIT_SIZE,
+};
 
 pub fn multifold<G1, G2, C1, C2, RO>(
     config: &<RO::Var as CryptographicSpongeVar<G1::ScalarField, RO>>::Parameters,
@@ -326,7 +328,7 @@ where
 mod tests {
     use super::*;
     use crate::{
-        multifold::{
+        folding::nova::cyclefold::{
             nimfs::{NIMFSProof, RelaxedR1CSInstance, RelaxedR1CSWitness},
             secondary as multifold_secondary,
         },
diff --git a/supernova/src/gadgets/multifold/primary.rs b/supernova/src/gadgets/cyclefold/primary.rs
similarity index 99%
rename from supernova/src/gadgets/multifold/primary.rs
rename to supernova/src/gadgets/cyclefold/primary.rs
index cbc5d372..826b4d92 100644
--- a/supernova/src/gadgets/multifold/primary.rs
+++ b/supernova/src/gadgets/cyclefold/primary.rs
@@ -17,7 +17,7 @@ use ark_std::fmt::Debug;
 use super::NonNativeAffineVar;
 use crate::{
     commitment::CommitmentScheme,
-    multifold::nimfs::{R1CSInstance, RelaxedR1CSInstance},
+    folding::nova::cyclefold::nimfs::{R1CSInstance, RelaxedR1CSInstance},
 };
 
 #[must_use]
diff --git a/supernova/src/gadgets/multifold/secondary.rs b/supernova/src/gadgets/cyclefold/secondary.rs
similarity index 99%
rename from supernova/src/gadgets/multifold/secondary.rs
rename to supernova/src/gadgets/cyclefold/secondary.rs
index d1d8e69a..ddc3333f 100644
--- a/supernova/src/gadgets/multifold/secondary.rs
+++ b/supernova/src/gadgets/cyclefold/secondary.rs
@@ -24,7 +24,7 @@ use ark_relations::r1cs::{ConstraintSystemRef, Namespace, SynthesisError};
 use super::{cast_field_element_unique, NonNativeAffineVar};
 use crate::{
     commitment::CommitmentScheme,
-    multifold::{
+    folding::nova::cyclefold::{
         nimfs::{R1CSInstance, RelaxedR1CSInstance},
         secondary::{Circuit as SecondaryCircuit, Proof},
     },
diff --git a/supernova/src/gadgets/mod.rs b/supernova/src/gadgets/mod.rs
index cab1ddb9..0b8b4c7b 100644
--- a/supernova/src/gadgets/mod.rs
+++ b/supernova/src/gadgets/mod.rs
@@ -1,2 +1,2 @@
-pub(crate) mod multifold;
+pub(crate) mod cyclefold;
 pub(crate) mod nonnative;
diff --git a/supernova/src/lib.rs b/supernova/src/lib.rs
index 30acb613..cbb4fb16 100644
--- a/supernova/src/lib.rs
+++ b/supernova/src/lib.rs
@@ -5,13 +5,11 @@
 #![allow(clippy::large_enum_variant)]
 
 mod absorb;
-mod ml_sumcheck;
-mod multifold;
-mod nifs;
 mod provider;
 mod utils;
 
 mod circuits;
+mod folding;
 mod gadgets;
 
 #[cfg(test)]