diff --git a/cpp/src/barretenberg/dsl/acir_format/acir_format.cpp b/cpp/src/barretenberg/dsl/acir_format/acir_format.cpp
index 0e2e510f4..8f2c4d17f 100644
--- a/cpp/src/barretenberg/dsl/acir_format/acir_format.cpp
+++ b/cpp/src/barretenberg/dsl/acir_format/acir_format.cpp
@@ -88,6 +88,11 @@ void create_circuit(Composer& composer, const acir_format& constraint_system)
     for (const auto& constraint : constraint_system.hash_to_field_constraints) {
         create_hash_to_field_constraints(composer, constraint);
     }
+
+    // Add block constraints
+    for (const auto& constraint : constraint_system.block_constraints) {
+        create_block_constraints(composer, constraint);
+    }
 }
 
 Composer create_circuit(const acir_format& constraint_system,
@@ -172,6 +177,11 @@ Composer create_circuit(const acir_format& constraint_system,
         create_hash_to_field_constraints(composer, constraint);
     }
 
+    // Add block constraints
+    for (const auto& constraint : constraint_system.block_constraints) {
+        create_block_constraints(composer, constraint);
+    }
+
     return composer;
 }
 
@@ -261,6 +271,11 @@ Composer create_circuit_with_witness(const acir_format& constraint_system,
         create_hash_to_field_constraints(composer, constraint);
     }
 
+    // Add block constraints
+    for (const auto& constraint : constraint_system.block_constraints) {
+        create_block_constraints(composer, constraint);
+    }
+
     return composer;
 }
 Composer create_circuit_with_witness(const acir_format& constraint_system, std::vector<fr> witness)
@@ -347,6 +362,11 @@ Composer create_circuit_with_witness(const acir_format& constraint_system, std::
         create_hash_to_field_constraints(composer, constraint);
     }
 
+    // Add block constraints
+    for (const auto& constraint : constraint_system.block_constraints) {
+        create_block_constraints(composer, constraint);
+    }
+
     return composer;
 }
 void create_circuit_with_witness(Composer& composer, const acir_format& constraint_system, std::vector<fr> witness)
@@ -430,6 +450,11 @@ void create_circuit_with_witness(Composer& composer, const acir_format& constrai
     for (const auto& constraint : constraint_system.hash_to_field_constraints) {
         create_hash_to_field_constraints(composer, constraint);
     }
+
+    // Add block constraints
+    for (const auto& constraint : constraint_system.block_constraints) {
+        create_block_constraints(composer, constraint);
+    }
 }
 
 } // namespace acir_format
diff --git a/cpp/src/barretenberg/dsl/acir_format/acir_format.hpp b/cpp/src/barretenberg/dsl/acir_format/acir_format.hpp
index a6e6a9534..cf14558c3 100644
--- a/cpp/src/barretenberg/dsl/acir_format/acir_format.hpp
+++ b/cpp/src/barretenberg/dsl/acir_format/acir_format.hpp
@@ -8,6 +8,7 @@
 #include "schnorr_verify.hpp"
 #include "ecdsa_secp256k1.hpp"
 #include "compute_merkle_root_constraint.hpp"
+#include "block_constraint.hpp"
 #include "pedersen.hpp"
 #include "hash_to_field.hpp"
 #include "barretenberg/dsl/types.hpp"
@@ -31,6 +32,7 @@ struct acir_format {
     std::vector<HashToFieldConstraint> hash_to_field_constraints;
     std::vector<PedersenConstraint> pedersen_constraints;
     std::vector<ComputeMerkleRootConstraint> compute_merkle_root_constraints;
+    std::vector<BlockConstraint> block_constraints;
     // A standard plonk arithmetic constraint, as defined in the poly_triple struct, consists of selector values
     // for q_M,q_L,q_R,q_O,q_C and indices of three variables taking the role of left, right and output wire
     std::vector<poly_triple> constraints;
@@ -71,6 +73,7 @@ template <typename B> inline void read(B& buf, acir_format& data)
     read(buf, data.hash_to_field_constraints);
     read(buf, data.fixed_base_scalar_mul_constraints);
     read(buf, data.constraints);
+    read(buf, data.block_constraints);
 }
 
 template <typename B> inline void write(B& buf, acir_format const& data)
@@ -90,6 +93,7 @@ template <typename B> inline void write(B& buf, acir_format const& data)
     write(buf, data.hash_to_field_constraints);
     write(buf, data.fixed_base_scalar_mul_constraints);
     write(buf, data.constraints);
+    write(buf, data.block_constraints);
 }
 
 } // namespace acir_format
diff --git a/cpp/src/barretenberg/dsl/acir_format/acir_format.test.cpp b/cpp/src/barretenberg/dsl/acir_format/acir_format.test.cpp
index 48debb4db..3c10153ce 100644
--- a/cpp/src/barretenberg/dsl/acir_format/acir_format.test.cpp
+++ b/cpp/src/barretenberg/dsl/acir_format/acir_format.test.cpp
@@ -91,6 +91,7 @@ TEST(acir_format, test_logic_gate_from_noir_circuit)
         .hash_to_field_constraints = {},
         .pedersen_constraints = {},
         .compute_merkle_root_constraints = {},
+        .block_constraints = {},
         .constraints = { expr_a, expr_b, expr_c, expr_d },
     };
 
@@ -156,6 +157,7 @@ TEST(acir_format, test_schnorr_verify_pass)
         .hash_to_field_constraints = {},
         .pedersen_constraints = {},
         .compute_merkle_root_constraints = {},
+        .block_constraints = {},
         .constraints = { poly_triple{
             .a = schnorr_constraint.result,
             .b = schnorr_constraint.result,
@@ -226,6 +228,7 @@ TEST(acir_format, test_schnorr_verify_small_range)
         .hash_to_field_constraints = {},
         .pedersen_constraints = {},
         .compute_merkle_root_constraints = {},
+        .block_constraints = {},
         .constraints = { poly_triple{
             .a = schnorr_constraint.result,
             .b = schnorr_constraint.result,
diff --git a/cpp/src/barretenberg/dsl/acir_format/block_constraint.cpp b/cpp/src/barretenberg/dsl/acir_format/block_constraint.cpp
new file mode 100644
index 000000000..406574fa5
--- /dev/null
+++ b/cpp/src/barretenberg/dsl/acir_format/block_constraint.cpp
@@ -0,0 +1,60 @@
+#include "block_constraint.hpp"
+#include "barretenberg/stdlib/primitives/memory/rom_table.hpp"
+#include "barretenberg/stdlib/primitives/memory/ram_table.hpp"
+
+using namespace proof_system::plonk;
+
+namespace acir_format {
+field_ct poly_to_field_ct(const poly_triple poly, Composer& composer)
+{
+    ASSERT(poly.q_m == 0);
+    ASSERT(poly.q_r == 0);
+    ASSERT(poly.q_o == 0);
+    if (poly.q_l == 0) {
+        return field_ct(poly.q_c);
+    }
+    field_ct x = field_ct::from_witness_index(&composer, poly.a);
+    x.additive_constant = poly.q_c;
+    x.multiplicative_constant = poly.q_l;
+    return x;
+}
+
+void create_block_constraints(Composer& composer, const BlockConstraint constraint)
+{
+    std::vector<field_ct> init;
+    for (auto i : constraint.init) {
+        field_ct value = poly_to_field_ct(i, composer);
+        init.push_back(value);
+    }
+
+    switch (constraint.type) {
+    case BlockType::ROM: {
+
+        rom_table_ct table(init);
+        for (auto& op : constraint.trace) {
+            ASSERT(op.access_type == 0);
+            field_ct value = poly_to_field_ct(op.value, composer);
+            field_ct index = poly_to_field_ct(op.index, composer);
+            value.assert_equal(table[index]);
+        }
+    } break;
+    case BlockType::RAM: {
+        ram_table_ct table(init);
+        for (auto& op : constraint.trace) {
+            field_ct value = poly_to_field_ct(op.value, composer);
+            field_ct index = poly_to_field_ct(op.index, composer);
+            if (op.access_type == 0) {
+                value.assert_equal(table.read(index));
+            } else {
+                ASSERT(op.access_type == 1);
+                table.write(index, value);
+            }
+        }
+    } break;
+    default:
+        ASSERT(false);
+        break;
+    }
+}
+
+} // namespace acir_format
\ No newline at end of file
diff --git a/cpp/src/barretenberg/dsl/acir_format/block_constraint.hpp b/cpp/src/barretenberg/dsl/acir_format/block_constraint.hpp
new file mode 100644
index 000000000..7f0cc1f07
--- /dev/null
+++ b/cpp/src/barretenberg/dsl/acir_format/block_constraint.hpp
@@ -0,0 +1,62 @@
+#pragma once
+#include <cstdint>
+#include <vector>
+#include "barretenberg/plonk/composer/ultra_composer.hpp"
+#include "barretenberg/stdlib/primitives/field/field.hpp"
+#include "barretenberg/dsl/types.hpp"
+
+namespace acir_format {
+
+struct MemOp {
+    uint8_t access_type;
+    poly_triple index;
+    poly_triple value;
+};
+
+enum BlockType {
+    ROM = 0,
+    RAM = 1,
+};
+
+struct BlockConstraint {
+    std::vector<poly_triple> init;
+    std::vector<MemOp> trace;
+    BlockType type;
+};
+
+void create_block_constraints(Composer& composer, const BlockConstraint constraint);
+
+template <typename B> inline void read(B& buf, MemOp& mem_op)
+{
+    using serialize::read;
+    read(buf, mem_op.access_type);
+    read(buf, mem_op.index);
+    read(buf, mem_op.value);
+}
+
+template <typename B> inline void write(B& buf, MemOp const& mem_op)
+{
+    using serialize::write;
+    write(buf, mem_op.access_type);
+    write(buf, mem_op.index);
+    write(buf, mem_op.value);
+}
+
+template <typename B> inline void read(B& buf, BlockConstraint& constraint)
+{
+    using serialize::read;
+    read(buf, constraint.init);
+    read(buf, constraint.trace);
+    uint8_t type;
+    read(buf, type);
+    constraint.type = static_cast<BlockType>(type);
+}
+
+template <typename B> inline void write(B& buf, BlockConstraint const& constraint)
+{
+    using serialize::write;
+    write(buf, constraint.init);
+    write(buf, constraint.trace);
+    write(buf, static_cast<uint8_t>(constraint.type));
+}
+} // namespace acir_format
diff --git a/cpp/src/barretenberg/dsl/acir_format/block_constraint.test.cpp b/cpp/src/barretenberg/dsl/acir_format/block_constraint.test.cpp
new file mode 100644
index 000000000..66ab73e84
--- /dev/null
+++ b/cpp/src/barretenberg/dsl/acir_format/block_constraint.test.cpp
@@ -0,0 +1,130 @@
+#include "acir_format.hpp"
+#include "block_constraint.hpp"
+#include "barretenberg/plonk/proof_system/types/proof.hpp"
+#include "barretenberg/plonk/proof_system/verification_key/verification_key.hpp"
+
+#include <gtest/gtest.h>
+#include <vector>
+
+size_t generate_block_constraint(acir_format::BlockConstraint& constraint, std::vector<fr>& witness_values)
+{
+    size_t witness_len = 1;
+    witness_values.emplace_back(1);
+    witness_len++;
+
+    fr two = fr::one() + fr::one();
+    poly_triple a0 = poly_triple{
+        .a = 1,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = two,
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = 0,
+    };
+    fr three = fr::one() + two;
+    poly_triple a1 = poly_triple{
+        .a = 0,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = 0,
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = three,
+    };
+    poly_triple r1 = poly_triple{
+        .a = 1,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = fr::one(),
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = fr::neg_one(),
+    };
+    poly_triple r2 = poly_triple{
+        .a = 1,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = two,
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = fr::neg_one(),
+    };
+    poly_triple y = poly_triple{
+        .a = 2,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = fr::one(),
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = 0,
+    };
+    witness_values.emplace_back(2);
+    witness_len++;
+    poly_triple z = poly_triple{
+        .a = 3,
+        .b = 0,
+        .c = 0,
+        .q_m = 0,
+        .q_l = fr::one(),
+        .q_r = 0,
+        .q_o = 0,
+        .q_c = 0,
+    };
+    witness_values.emplace_back(3);
+    witness_len++;
+    acir_format::MemOp op1 = acir_format::MemOp{
+        .access_type = 0,
+        .index = r1,
+        .value = y,
+    };
+    acir_format::MemOp op2 = acir_format::MemOp{
+        .access_type = 0,
+        .index = r2,
+        .value = z,
+    };
+    constraint = acir_format::BlockConstraint{
+        .init = { a0, a1 },
+        .trace = { op1, op2 },
+        .type = acir_format::BlockType::ROM,
+    };
+
+    return witness_len;
+}
+
+TEST(up_ram, TestBlockConstraint)
+{
+    acir_format::BlockConstraint block;
+    std::vector<fr> witness_values;
+    size_t num_variables = generate_block_constraint(block, witness_values);
+    acir_format::acir_format constraint_system{
+        .varnum = static_cast<uint32_t>(num_variables),
+        .public_inputs = {},
+        .fixed_base_scalar_mul_constraints = {},
+        .logic_constraints = {},
+        .range_constraints = {},
+        .schnorr_constraints = {},
+        .ecdsa_constraints = {},
+        .sha256_constraints = {},
+        .blake2s_constraints = {},
+        .keccak_constraints = {},
+        .hash_to_field_constraints = {},
+        .pedersen_constraints = {},
+        .compute_merkle_root_constraints = {},
+        .block_constraints = { block },
+        .constraints = {},
+    };
+
+    auto composer = acir_format::create_circuit_with_witness(constraint_system, witness_values);
+
+    auto prover = composer.create_prover();
+
+    auto proof = prover.construct_proof();
+    auto verifier = composer.create_verifier();
+    EXPECT_EQ(verifier.verify_proof(proof), true);
+}
diff --git a/cpp/src/barretenberg/dsl/acir_format/ecdsa_secp256k1.test.cpp b/cpp/src/barretenberg/dsl/acir_format/ecdsa_secp256k1.test.cpp
index 4e2e25174..60613b321 100644
--- a/cpp/src/barretenberg/dsl/acir_format/ecdsa_secp256k1.test.cpp
+++ b/cpp/src/barretenberg/dsl/acir_format/ecdsa_secp256k1.test.cpp
@@ -97,6 +97,7 @@ TEST(ECDSASecp256k1, TestECDSAConstraintSucceed)
         .hash_to_field_constraints = {},
         .pedersen_constraints = {},
         .compute_merkle_root_constraints = {},
+        .block_constraints = {},
         .constraints = {},
     };
 
@@ -164,6 +165,7 @@ TEST(ECDSASecp256k1, TestECDSAConstraintFail)
         .hash_to_field_constraints = {},
         .pedersen_constraints = {},
         .compute_merkle_root_constraints = {},
+        .block_constraints = {},
         .constraints = {},
     };
 
diff --git a/cpp/src/barretenberg/dsl/types.hpp b/cpp/src/barretenberg/dsl/types.hpp
index edb590571..e5277faf2 100644
--- a/cpp/src/barretenberg/dsl/types.hpp
+++ b/cpp/src/barretenberg/dsl/types.hpp
@@ -19,6 +19,7 @@
 #include "barretenberg/stdlib/primitives/curves/bn254.hpp"
 #include "barretenberg/stdlib/primitives/curves/secp256k1.hpp"
 #include "barretenberg/stdlib/primitives/memory/rom_table.hpp"
+#include "barretenberg/stdlib/primitives/memory/ram_table.hpp"
 namespace acir_format {
 
 using Composer = plonk::UltraComposer;
@@ -59,5 +60,6 @@ using schnorr_signature_bits_ct = proof_system::plonk::stdlib::schnorr::signatur
 
 // Ultra-composer specific typesv
 using rom_table_ct = proof_system::plonk::stdlib::rom_table<plonk::UltraComposer>;
+using ram_table_ct = proof_system::plonk::stdlib::ram_table<plonk::UltraComposer>;
 
 } // namespace acir_format