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+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "09041cd90cf85f7f8b2df60c646f853b7f535ce68f85244eb6731cf89fa498ec"
+
+[[package]]
+name = "zeroize"
+version = "1.6.0"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "2a0956f1ba7c7909bfb66c2e9e4124ab6f6482560f6628b5aaeba39207c9aad9"
+
+[[package]]
+name = "zip"
+version = "0.6.6"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "760394e246e4c28189f19d488c058bf16f564016aefac5d32bb1f3b51d5e9261"
+dependencies = [
+ "aes",
+ "byteorder",
+ "bzip2",
+ "constant_time_eq",
+ "crc32fast",
+ "crossbeam-utils",
+ "flate2",
+ "hmac",
+ "pbkdf2 0.11.0",
+ "sha1",
+ "time",
+ "zstd",
+]
+
+[[package]]
+name = "zstd"
+version = "0.11.2+zstd.1.5.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "20cc960326ece64f010d2d2107537f26dc589a6573a316bd5b1dba685fa5fde4"
+dependencies = [
+ "zstd-safe",
+]
+
+[[package]]
+name = "zstd-safe"
+version = "5.0.2+zstd.1.5.2"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "1d2a5585e04f9eea4b2a3d1eca508c4dee9592a89ef6f450c11719da0726f4db"
+dependencies = [
+ "libc",
+ "zstd-sys",
+]
+
+[[package]]
+name = "zstd-sys"
+version = "2.0.8+zstd.1.5.5"
+source = "registry+https://github.com/rust-lang/crates.io-index"
+checksum = "5556e6ee25d32df2586c098bbfa278803692a20d0ab9565e049480d52707ec8c"
+dependencies = [
+ "cc",
+ "libc",
+ "pkg-config",
+]
diff --git a/casper-finality-proofs/Cargo.toml b/casper-finality-proofs/Cargo.toml
new file mode 100644
index 000000000..6c122343e
--- /dev/null
+++ b/casper-finality-proofs/Cargo.toml
@@ -0,0 +1,18 @@
+[package]
+name = "casper-finality-proofs"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[[bin]]
+name = "weigh_justification_and_finalization"
+path = "bin/weigh_justification_and_finalization.rs"
+
+[dependencies]
+plonky2 = { git = "https://github.com/mir-protocol/plonky2.git", default-features = false}
+plonky2x = { git = "https://github.com/succinctlabs/succinctx.git", branch = "main" }
+serde = { version = "1.0.187", features = ["derive"] }
+serde_json = "1.0.103"
+ethers = { version = "2.0" }
+itertools = { version = "0.10.0", default-features = false }
diff --git a/casper-finality-proofs/bin/weigh_justification_and_finalization.rs b/casper-finality-proofs/bin/weigh_justification_and_finalization.rs
new file mode 100644
index 000000000..e7a11a969
--- /dev/null
+++ b/casper-finality-proofs/bin/weigh_justification_and_finalization.rs
@@ -0,0 +1,3 @@
+fn main() {
+    println!("Hello, world!");
+}
diff --git a/casper-finality-proofs/js_helpers/tsconfig.json b/casper-finality-proofs/js_helpers/tsconfig.json
new file mode 100644
index 000000000..39c290523
--- /dev/null
+++ b/casper-finality-proofs/js_helpers/tsconfig.json
@@ -0,0 +1,6 @@
+{
+  "extends": "../../tsconfig.json",
+  "compilerOptions": {
+    "moduleResolution": "nodenext",
+  }
+}
diff --git a/casper-finality-proofs/js_helpers/weigh_justification_and_finalization.ts b/casper-finality-proofs/js_helpers/weigh_justification_and_finalization.ts
new file mode 100644
index 000000000..6e58be0fc
--- /dev/null
+++ b/casper-finality-proofs/js_helpers/weigh_justification_and_finalization.ts
@@ -0,0 +1,99 @@
+import { Tree } from '@chainsafe/persistent-merkle-tree';
+import { BeaconApi } from '../../relay/implementations/beacon-api';
+import { bytesToHex } from '../../libs/typescript/ts-utils/bls';
+import { hexToBits } from '../../libs/typescript/ts-utils/hex-utils';
+
+(async () => {
+  const beaconApi = new BeaconApi([
+    'http://unstable.mainnet.beacon-api.nimbus.team',
+  ]);
+  const { beaconState } = await beaconApi.getBeaconState(6953401);
+
+  console.log(beaconState.justificationBits.get(0));
+  console.log(beaconState.justificationBits.get(1));
+  console.log(beaconState.justificationBits.get(2));
+  console.log(beaconState.justificationBits.get(3));
+
+  const { ssz } = await import('@lodestar/types');
+
+  console.log(
+    'justification bits index',
+    ssz.capella.BeaconState.getPathInfo(['justification_bits']).gindex,
+  );
+
+  console.log(
+    'previous justified checkpoint index',
+    ssz.capella.BeaconState.getPathInfo(['previous_justified_checkpoint'])
+      .gindex,
+  );
+
+  console.log(
+    'current justified checkpoint index',
+    ssz.capella.BeaconState.getPathInfo(['current_justified_checkpoint'])
+      .gindex,
+  );
+
+  console.log(
+    'blocks roots index',
+    ssz.capella.BeaconState.getPathInfo(['block_roots']).gindex,
+  );
+
+  console.log(
+    'index in the block roots of 123',
+    ssz.capella.BeaconState.fields.blockRoots.getPathInfo([123]).gindex,
+  );
+
+  let blocks_root_index = ssz.capella.BeaconState.getPathInfo([
+    'block_roots',
+  ]).gindex;
+
+  let epoch_index = ssz.capella.BeaconState.fields.blockRoots.getPathInfo([
+    123,
+  ]).gindex;
+
+  console.log(
+    'combined index',
+    BigInt('0b' + blocks_root_index.toString(2) + epoch_index.toString(2)),
+  );
+
+  const beaconStateViewDU = ssz.capella.BeaconState.toViewDU(beaconState);
+
+  const tree = new Tree(beaconStateViewDU.node);
+
+  console.log(tree.getSingleProof(blocks_root_index).map(bytesToHex));
+
+  const blocksRootViewDU = ssz.capella.BeaconState.fields.blockRoots.toViewDU(
+    beaconState.blockRoots,
+  );
+  const blocksRootTree = new Tree(blocksRootViewDU.node);
+
+  console.log(blocksRootTree.getSingleProof(epoch_index).map(bytesToHex));
+
+  console.log(
+    'combined proof',
+    [
+      ...tree.getSingleProof(blocks_root_index),
+      ...blocksRootTree.getSingleProof(epoch_index),
+    ].map(bytesToHex),
+  );
+
+  // beaconState.slot = 12;
+  // beaconState.balances = [1234];
+
+  // const { ssz } = await import('@lodestar/types');
+  // const pathInfo = ssz.capella.BeaconState.getPathInfo(['historical_summaries']);
+
+  // console.log(pathInfo.gindex);
+
+  // console.log(beaconState.slot);
+
+  // console.log(bytesToHex(ssz.capella.BeaconState.fields.slot.hashTreeRoot(beaconState.slot)));
+
+  // const beaconStateViewDU = ssz.capella.BeaconState.toViewDU(beaconState);
+
+  // const tree = new Tree(beaconStateViewDU.node);
+
+  // const proof = tree.getSingleProof(pathInfo.gindex);
+
+  // console.log(proof.map(bytesToHex));
+})();
diff --git a/casper-finality-proofs/src/checkpoint.rs b/casper-finality-proofs/src/checkpoint.rs
new file mode 100644
index 000000000..869dc264b
--- /dev/null
+++ b/casper-finality-proofs/src/checkpoint.rs
@@ -0,0 +1,145 @@
+use plonky2x::{
+    frontend::vars::SSZVariable,
+    prelude::{Bytes32Variable, CircuitVariable, U64Variable},
+};
+use serde::Deserialize;
+use itertools::Itertools;
+
+#[derive(Debug, Clone, Copy)]
+pub struct CheckpointVariable {
+    pub epoch: U64Variable,
+    pub root: Bytes32Variable,
+}
+
+#[derive(Debug, Clone, Deserialize)]
+pub struct Checkpoint {
+    pub epoch: u64,
+    pub root: String,
+}
+
+// TODO: implement
+impl CircuitVariable for CheckpointVariable {
+    type ValueType<F: plonky2x::prelude::RichField> = Checkpoint;
+
+    fn init_unsafe<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+    ) -> Self {
+        todo!()
+    }
+
+    fn variables(&self) -> Vec<plonky2x::prelude::Variable> {
+        todo!()
+    }
+
+    fn from_variables_unsafe(variables: &[plonky2x::prelude::Variable]) -> Self {
+        todo!()
+    }
+
+    fn assert_is_valid<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        &self,
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+    ) {
+        todo!()
+    }
+
+    fn elements<F: plonky2x::prelude::RichField>(value: Self::ValueType<F>) -> Vec<F> {
+        todo!()
+    }
+
+    fn from_elements<F: plonky2x::prelude::RichField>(elements: &[F]) -> Self::ValueType<F> {
+        todo!()
+    }
+
+    fn init<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+    ) -> Self {
+        let variable = Self::init_unsafe(builder);
+        variable.assert_is_valid(builder);
+        variable
+    }
+
+    fn constant<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+        value: Self::ValueType<L::Field>,
+    ) -> Self {
+        let field_elements = Self::elements::<L::Field>(value);
+        let variables = field_elements
+            .into_iter()
+            .map(|element| builder.constant::<plonky2x::prelude::Variable>(element))
+            .collect_vec();
+        // Because this is a constant, we do not need to add constraints to ensure validity
+        // as it is assumed that the value is valid.
+        Self::from_variables_unsafe(&variables)
+    }
+
+    fn from_variables<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+        variables: &[plonky2x::prelude::Variable],
+    ) -> Self {
+        let variable = Self::from_variables_unsafe(variables);
+        variable.assert_is_valid(builder);
+        variable
+    }
+
+    fn get<F: plonky2x::prelude::RichField, W: plonky2x::prelude::Witness<F>>(
+        &self,
+        witness: &W,
+    ) -> Self::ValueType<F> {
+        let target_values = self
+            .targets()
+            .into_iter()
+            .map(|t| witness.get_target(t))
+            .collect::<Vec<F>>();
+        Self::from_elements::<F>(&target_values)
+    }
+
+    fn set<F: plonky2x::prelude::RichField, W: plonky2x::prelude::WitnessWrite<F>>(
+        &self,
+        witness: &mut W,
+        value: Self::ValueType<F>,
+    ) {
+        let elements = Self::elements::<F>(value);
+        let targets = self.targets();
+        assert_eq!(elements.len(), targets.len());
+        for (element, target) in elements.into_iter().zip(targets.into_iter()) {
+            witness.set_target(target, element);
+        }
+    }
+
+    fn targets(&self) -> Vec<plonky2x::prelude::Target> {
+        self.variables().into_iter().map(|v| v.0).collect()
+    }
+
+    fn from_targets(targets: &[plonky2x::prelude::Target]) -> Self {
+        Self::from_variables_unsafe(
+            &targets
+                .iter()
+                .map(|t| plonky2x::prelude::Variable(*t))
+                .collect_vec(),
+        )
+    }
+
+    fn nb_elements() -> usize {
+        type L = plonky2x::prelude::DefaultParameters;
+        const D: usize = 2;
+        plonky2x::utils::disable_logging();
+        let mut builder = plonky2x::prelude::CircuitBuilder::<L, D>::new();
+        let variable = builder.init_unsafe::<Self>();
+        plonky2x::utils::enable_logging();
+        variable.variables().len()
+    }
+}
+
+impl SSZVariable for CheckpointVariable {
+    fn hash_tree_root<L: plonky2x::prelude::PlonkParameters<D>, const D: usize>(
+        &self,
+        builder: &mut plonky2x::prelude::CircuitBuilder<L, D>,
+    ) -> Bytes32Variable {
+        let epoch_leaf = self.epoch.hash_tree_root(builder);
+        let root_leaf = self.root.hash_tree_root(builder);
+
+        builder.sha256_pair(epoch_leaf, root_leaf)
+    }
+}
+
+// TODO: test
diff --git a/casper-finality-proofs/src/lib.rs b/casper-finality-proofs/src/lib.rs
new file mode 100644
index 000000000..0d8203cc0
--- /dev/null
+++ b/casper-finality-proofs/src/lib.rs
@@ -0,0 +1,2 @@
+pub mod weigh_justification_and_finalization;
+pub mod checkpoint;
diff --git a/casper-finality-proofs/src/weigh_justification_and_finalization.rs b/casper-finality-proofs/src/weigh_justification_and_finalization.rs
new file mode 100644
index 000000000..1f4e105c5
--- /dev/null
+++ b/casper-finality-proofs/src/weigh_justification_and_finalization.rs
@@ -0,0 +1,150 @@
+use std::io::Bytes;
+
+use plonky2x::{
+    backend::circuit::Circuit,
+    frontend::vars::SSZVariable,
+    prelude::{
+        ArrayVariable, BoolVariable, ByteVariable, Bytes32Variable, CircuitBuilder,
+        CircuitVariable, Div, PlonkParameters, Sub, U64Variable, Rem,
+    },
+    utils::bytes32,
+};
+
+use crate::checkpoint::CheckpointVariable;
+
+#[derive(Debug, Clone)]
+struct WeighJustificationAndFinalization;
+
+impl Circuit for WeighJustificationAndFinalization {
+    fn define<L: PlonkParameters<D>, const D: usize>(builder: &mut CircuitBuilder<L, D>) {
+        let beacon_state = builder.read::<Bytes32Variable>();
+        let total_active_balance = builder.read::<U64Variable>();
+        let previous_epoch_target_balance = builder.read::<U64Variable>();
+        let current_epoch_target_balance = builder.read::<U64Variable>();
+
+        let slot = builder.read::<U64Variable>();
+        let slot_proof = builder.read::<ArrayVariable<Bytes32Variable, 5>>();
+
+        let slot_leaf = slot.hash_tree_root(builder);
+
+        let slot_index = U64Variable::constant(builder, 34);
+
+        builder.ssz_verify_proof(beacon_state, slot_leaf, slot_proof.as_slice(), slot_index);
+
+        // Assert we are not in the genesis epoch
+        // Maybe extract to another function get_current_epoch
+        let current_epoch = slot.div(U64Variable::constant(builder, 32), builder);
+
+        let prev_epoch = current_epoch.sub(U64Variable::constant(builder, 1), builder);
+
+        // TODO: move to separate function
+        let old_previous_justified_checkpoint = builder.read::<CheckpointVariable>();
+        let old_previous_justified_checkpoint_proof =
+            builder.read::<ArrayVariable<Bytes32Variable, 5>>();
+
+        let old_previous_leaf = old_previous_justified_checkpoint.hash_tree_root(builder);
+        let old_previous_justified_checkpoint_index = U64Variable::constant(builder, 50);
+
+        builder.ssz_verify_proof(
+            beacon_state,
+            old_previous_leaf,
+            old_previous_justified_checkpoint_proof.as_slice(),
+            old_previous_justified_checkpoint_index,
+        );
+
+        let old_current_justified_checkpoint = builder.read::<U64Variable>();
+        let old_current_justified_checkpoint_proof =
+            builder.read::<ArrayVariable<Bytes32Variable, 5>>();
+
+        let old_current_leaf = old_current_justified_checkpoint.hash_tree_root(builder);
+        let old_current_justified_checkpoint_index = U64Variable::constant(builder, 51);
+
+        builder.ssz_verify_proof(
+            beacon_state,
+            old_current_leaf,
+            old_current_justified_checkpoint_proof.as_slice(),
+            old_current_justified_checkpoint_index,
+        );
+
+        // TODO: implement
+        //
+        //   if previous_epoch_target_balance * 3 >= total_active_balance * 2:
+        //        state.current_justified_checkpoint = Checkpoint(epoch=previous_epoch,
+        //                                                        root=get_block_root(state, previous_epoch))
+        //        state.justification_bits[1] = 0b1
+        //   if current_epoch_target_balance * 3 >= total_active_balance * 2:
+        //          state.current_justified_checkpoint = Checkpoint(epoch=current_epoch,
+        //                                                          root=get_block_root(state, current_epoch))
+        //          state.justification_bits[0] = 0b1
+
+        let previous_epoch_justified_root = builder.read::<Bytes32Variable>();
+        let previous_epoch_justified_root_proof =
+            builder.read::<ArrayVariable<Bytes32Variable, 6>>();
+
+        let previous_epoch_justified_checkpoint = CheckpointVariable {
+            epoch: prev_epoch,
+            root: previous_epoch_justified_root,
+        };
+
+        // let index = prev_epoch.rem(rhs, builder);
+
+        // builder.ssz_verify_proof(root, leaf, branch, gindex)
+
+        let current_epoch_justified_root = builder.read::<Bytes32Variable>();
+        let current_epoch_justified_root_proof =
+            builder.read::<ArrayVariable<Bytes32Variable, 6>>();
+
+        let current_epoch_justified_checkpoint = CheckpointVariable {
+            epoch: current_epoch,
+            root: current_epoch_justified_root,
+        };
+
+        // Only if the above logic is true
+        builder.write::<Bytes32Variable>(previous_epoch_justified_checkpoint.root);
+
+        let justification_bits = builder.read::<ArrayVariable<BoolVariable, 4>>();
+        let justification_bits_proof = builder.read::<ArrayVariable<Bytes32Variable, 5>>();
+
+        let mut justification_bits_leaf = Bytes32Variable::constant(builder, bytes32!("0x0"));
+        justification_bits_leaf.0.0[0] = ByteVariable([
+            justification_bits[0],
+            justification_bits[1],
+            justification_bits[2],
+            justification_bits[3],
+            BoolVariable::constant(builder, false),
+            BoolVariable::constant(builder, false),
+            BoolVariable::constant(builder, false),
+            BoolVariable::constant(builder, false),
+        ]);
+
+        let justification_bits_index = U64Variable::constant(builder, 49);
+
+        builder.ssz_verify_proof(
+            beacon_state,
+            justification_bits_leaf,
+            justification_bits_proof.as_slice(),
+            justification_bits_index,
+        );
+
+        // TODO: implement
+        // # The 2nd/3rd/4th most recent epochs are justified, the 2nd using the 4th as source
+        // if all(bits[1:4]) and old_previous_justified_checkpoint.epoch + 3 == current_epoch:
+        //     state.finalized_checkpoint = old_previous_justified_checkpoint
+        // # The 2nd/3rd most recent epochs are justified, the 2nd using the 3rd as source
+        // if all(bits[1:3]) and old_previous_justified_checkpoint.epoch + 2 == current_epoch:
+        //     state.finalized_checkpoint = old_previous_justified_checkpoint
+        // # The 1st/2nd/3rd most recent epochs are justified, the 1st using the 3rd as source
+        // if all(bits[0:3]) and old_current_justified_checkpoint.epoch + 2 == current_epoch:
+        //     state.finalized_checkpoint = old_current_justified_checkpoint
+        // # The 1st/2nd most recent epochs are justified, the 1st using the 2nd as source
+        // if all(bits[0:2]) and old_current_justified_checkpoint.epoch + 1 == current_epoch:
+        //     state.finalized_checkpoint = old_current_justified_checkpoint
+
+        builder.write::<Bytes32Variable>(current_epoch_justified_checkpoint.root);
+    }
+}
+
+fn verify_justified_checkpoint<L: PlonkParameters<D>, const D: usize>(
+    builder: &mut CircuitBuilder<L, D>,
+) {
+}
diff --git a/shell.nix b/shell.nix
index a74dbc85e..d9e75e266 100644
--- a/shell.nix
+++ b/shell.nix
@@ -8,6 +8,8 @@ in
   mkShell {
     packages = shell-pkgs;
 
+    nativeBuildInputs = [pkg-config openssl];
+
     shellHook = ''
       set -e
 
diff --git a/yarn.lock b/yarn.lock
index 49993d59e..943d31991 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -1871,7 +1871,14 @@ __metadata:
   languageName: node
   linkType: hard
 
-"@lodestar/params@npm:^1.4.1, @lodestar/params@npm:^1.4.3":
+"@lodestar/params@npm:^1.4.1":
+  version: 1.11.3
+  resolution: "@lodestar/params@npm:1.11.3"
+  checksum: 40cda13be2d90db6fde1313c858abca7f898f600dc75f1cda9b26dddb581e029283e4b10f3c76176baac7742adf26ff3fb664ffc0f1e5fa49735895178636f2d
+  languageName: node
+  linkType: hard
+
+"@lodestar/params@npm:^1.4.3":
   version: 1.4.3
   resolution: "@lodestar/params@npm:1.4.3"
   checksum: c6285dc00dd402e376739198b014c87207b5ce72cea40386ec351d048606dbbed642b1df8557e958ad98e8de1acea80ad206524b4f3e0e4a84b1a7725d248b13