diff --git a/src/TracedRArray.jl b/src/TracedRArray.jl
index 9e46f567e4..2780179098 100644
--- a/src/TracedRArray.jl
+++ b/src/TracedRArray.jl
@@ -761,32 +761,87 @@ function _copyto!(dest::TracedRArray, bc::Broadcasted)
     return dest
 end
 
-function Base._cat(dims::Val{D}, A::TracedRArray{T,N}, Bs::TracedRArray...) where {T,N,D}
-    @assert D isa Integer "Support for non-integer dimensions is not implemented yet."
+dispatch_val(x) = x
+dispatch_val(::Val{D}) where {D} = D
 
-    # MLIR expects the dimension `D` to be ≤ the rank of the input tensors
-    A = maybe_expand_dims(A, dims)
-    Bs = maybe_expand_dims.(Bs, (dims,))
+@inline function Base._typed_vcat(
+    ::Type{T}, X::Base.AbstractVecOrTuple{<:TracedRArray}
+) where {T}
+    return Base._cat_t(Val(1), T, X...)
+end
+@inline function Base._typed_hcat(
+    ::Type{T}, X::Base.AbstractVecOrTuple{<:TracedRArray}
+) where {T}
+    return Base._cat_t(Val(2), T, X...)
+end
+
+# `Base.typed_hvcat` is overloaded for `AbstractVecOrMat` using `setindex!` that breaks Reactant
+# generic implementation uses `typed_hcat` and `typed_vcat` which is alright
+@inline function Base.typed_hvcat(
+    ::Type{T}, rows::Tuple{Vararg{Int}}, as::TracedRArray...
+) where {T}
+    return invoke(
+        Base.typed_hvcat, Tuple{Type{T},Tuple{Vararg{Int}},Vararg{Any}}, T, rows, as...
+    )
+end
+
+function Base._typed_hvncat(
+    T::Type, dims::NTuple{N,Int}, row_first::Bool, as::TracedRArray...
+) where {N}
+    As = if row_first
+        perm = [2, 1, 3:N...]
+        dims = [dims[2], dims[1], dims[3:end]...]
+        permutedims(reshape(collect(as), dims...), perm)
+    else
+        reshape(collect(as), dims)
+    end
+
+    for d in 1:N
+        Bs = Array{Any,N - d}(undef, size(As)[2:end]...)
+
+        for (i, col) in
+            zip(eachindex(Bs), eachslice(As; dims=Tuple(2:ndims(As)), drop=true))
+            # TODO row_first affects the flattening?
+            Bs[i] = Base._cat_t(d, T, col...)
+        end
+
+        As = Bs
+    end
+
+    return only(As)
+end
+
+function Base._cat_t(dims, ::Type{T}, X::TracedRArray...) where {T}
+    dims = dispatch_val(dims)
+    @assert dims isa Integer "Support for non-integer dimensions is not implemented yet."
+
+    # MLIR expects the dimension `dims` to be ≤ the rank of the input tensors
+    X = maybe_expand_dims.(X, (dims,))
 
     catdims = Base.dims2cat(dims)
-    shape = Base.cat_size_shape(catdims, A, Bs...)
-    RT = Base.promote_eltype(A, Bs...)
-    Res = TracedRArray{RT,length(shape)}(
+    shape = Base.cat_size_shape(catdims, X...)
+    RT = Base.promote_eltype(T, X...)
+
+    # convert to the target eltype
+    X = map(Base.Fix1(promote_to, TracedRArray{RT,length(shape)}), X)
+
+    return TracedRArray{RT,length(shape)}(
         (),
         MLIR.IR.result(
+            # TODO maybe we should do some conversion?
             MLIR.Dialects.stablehlo.concatenate(
-                [A.mlir_data, [B.mlir_data for B in Bs]...];
+                collect(get_mlir_data.(X));
                 result_0=MLIR.IR.TensorType(shape, MLIR.IR.Type(RT)),
-                dimension=D - 1, # stablehlo expects this to be zero-indexed
+                dimension=dims - 1, # stablehlo expects this to be zero-indexed
             ),
             1,
         ),
         shape,
     )
-    return Res
 end
 
-function maybe_expand_dims(x::AbstractArray{T,N}, ::Val{D}) where {T,N,D}
-    D ≤ N && return x
-    return reshape(x, ntuple(i -> i ≤ N ? size(x, i) : 1, Val(D)))
+function maybe_expand_dims(x::AbstractArray{T,N}, dims) where {T,N}
+    dims = dispatch_val(dims)
+    dims ≤ N && return x
+    return reshape(x, ntuple(i -> i ≤ N ? size(x, i) : 1, dims))
 end
diff --git a/src/Tracing.jl b/src/Tracing.jl
index ae4f3b4c66..b3233a6447 100644
--- a/src/Tracing.jl
+++ b/src/Tracing.jl
@@ -380,7 +380,7 @@ function make_tracer(
     if haskey(seen, prev)
         return seen[prev]
     end
-    if mode == ArrayToConcrete && eltype(RT) <: AbstractFloat
+    if mode == ArrayToConcrete && eltype(RT) <: Union{AbstractFloat,Integer}
         return seen[prev] = ConcreteRArray(prev)
     end
     TT = traced_type(eltype(RT), (), Val(mode))
diff --git a/test/basic.jl b/test/basic.jl
index 4467adf8f4..368f22d728 100644
--- a/test/basic.jl
+++ b/test/basic.jl
@@ -210,20 +210,73 @@ end
 end
 
 @testset "concatenation" begin
-    x = ones(2, 4, 3)
-    x_concrete = Reactant.to_rarray(x)
-
-    cat1(x) = vcat(x, x, x)
-    cat2(x) = hcat(x, x, x)
-    cat3(x) = cat(x, x, x; dims=Val(3))
-
-    cat1_compiled = @compile cat1(x_concrete)
-    cat2_compiled = @compile cat2(x_concrete)
-    cat3_compiled = @compile cat3(x_concrete)
-
-    @test cat1(x) ≈ cat1_compiled(x_concrete)
-    @test cat2(x) ≈ cat2_compiled(x_concrete)
-    @test cat3(x) ≈ cat3_compiled(x_concrete)
+    @testset "$(ndims(x))-dim" for x in [
+        fill(true),
+        [true, false],
+        [true false],
+        [true true; true false],
+        [
+            true true true true; true true true false;;;
+            true true false true; true true false false;;;
+            true false true true; true false true false
+        ],
+    ]
+        x_concrete = Reactant.to_rarray(x)
+
+        # NOTE [,,,] is a call to `vect`, not `*cat`
+        # f = Reactant.compile((x_concrete,)) do x
+        #     return [x, x, x]
+        # end
+        # @test f(x_concrete) ≈ ones(3)
+
+        # vcat
+        test_vcat(x) = [x; x; x]
+        f = @compile test_vcat(x_concrete)
+        @test f(x_concrete) == test_vcat(x)
+        @test eltype(f(x_concrete)) === Bool
+
+        # hcat
+        test_hcat(x) = [x x x]
+        f = @compile test_hcat(x_concrete)
+        @test f(x_concrete) == test_hcat(x)
+        @test eltype(f(x_concrete)) === Bool
+
+        # hvcat
+        test_hvcat(x) = [x x x; x x x]
+        f = @compile test_hvcat(x_concrete)
+        @test f(x_concrete) == test_hvcat(x)
+        @test eltype(f(x_concrete)) === Bool
+
+        # hvncat
+        test_hvncat(x) = [x x x; x x x;;; x x x; x x x]
+        f = @compile test_hvncat(x_concrete)
+        @test f(x_concrete) == test_hvncat(x)
+        @test eltype(f(x_concrete)) === Bool
+
+        # typed_vcat
+        test_typed_vcat(x) = Int[x; x; x]
+        f = @compile test_typed_vcat(x_concrete)
+        @test f(x_concrete) == test_typed_vcat(x)
+        @test eltype(f(x_concrete)) === Int
+
+        # typed_hcat
+        test_typed_hcat(x) = Int[x x x]
+        f = @compile test_typed_hcat(x_concrete)
+        @test f(x_concrete) == test_typed_hcat(x)
+        @test eltype(f(x_concrete)) === Int
+
+        # typed_hvcat
+        test_typed_hvcat(x) = Int[x x x; x x x]
+        f = @compile test_typed_hvcat(x_concrete)
+        @test f(x_concrete) == test_typed_hvcat(x)
+        @test eltype(f(x_concrete)) === Int
+
+        # typed_hvncat
+        test_typed_hvncat(x) = Int[x x x; x x x;;; x x x; x x x]
+        f = @compile test_typed_hvncat(x_concrete)
+        @test f(x_concrete) == test_typed_hvncat(x)
+        @test eltype(f(x_concrete)) === Int
+    end
 end
 
 function update_on_copy(x)