diff --git a/TruePath.Tests/AbsolutePathEqualsTests.cs b/TruePath.Tests/AbsolutePathEqualsTests.cs
new file mode 100644
index 0000000..3f35947
--- /dev/null
+++ b/TruePath.Tests/AbsolutePathEqualsTests.cs
@@ -0,0 +1,99 @@
+namespace TruePath.Tests;
+
+public partial class AbsolutePathTests
+{
+    [Fact]
+    public void EqualsUseStrictStringPathComparer_SamePaths_True()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = currentDirectory;
+
+        var path1 = new AbsolutePath(currentDirectory);
+        var path2 = new AbsolutePath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, StrictStringPathComparer.Comparer);
+
+        // Assert
+        Assert.True(equals);
+    }
+
+    [Fact]
+    public void EqualsUseStrictStringPathComparer_NotSamePaths_False()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new AbsolutePath(currentDirectory);
+        var path2 = new AbsolutePath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, StrictStringPathComparer.Comparer);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void OnLinux_EqualsDefault_CaseSensitive_False()
+    {
+        // Arrange
+        if (RuntimeInformation.IsOSPlatform(OSPlatform.Windows) || RuntimeInformation.IsOSPlatform(OSPlatform.OSX))
+        {
+            return;
+        }
+
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new AbsolutePath(currentDirectory);
+        var path2 = new AbsolutePath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void EqualsNull_False()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = currentDirectory;
+
+        var path1 = new AbsolutePath(currentDirectory);
+        var path2 = new AbsolutePath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, null);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void OnWindowsOrOsx_EqualsDefault_CaseInsensitive_True()
+    {
+        // Arrange
+        if (!RuntimeInformation.IsOSPlatform(OSPlatform.Windows) && !RuntimeInformation.IsOSPlatform(OSPlatform.OSX))
+        {
+            return;
+        }
+
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new AbsolutePath(currentDirectory);
+        var path2 = new AbsolutePath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2);
+
+        // Assert
+        Assert.True(equals);
+    }
+}
diff --git a/TruePath.Tests/AbsolutePathTests.cs b/TruePath.Tests/AbsolutePathTests.cs
index efd7520..b907402 100644
--- a/TruePath.Tests/AbsolutePathTests.cs
+++ b/TruePath.Tests/AbsolutePathTests.cs
@@ -4,7 +4,7 @@
 
 namespace TruePath.Tests;
 
-public class AbsolutePathTests
+public partial class AbsolutePathTests
 {
     [Theory]
     [InlineData("/home/user", "/home/user/documents")]
diff --git a/TruePath.Tests/DiskUtilsTests.cs b/TruePath.Tests/DiskUtilsTests.cs
index b999aac..2714323 100644
--- a/TruePath.Tests/DiskUtilsTests.cs
+++ b/TruePath.Tests/DiskUtilsTests.cs
@@ -35,7 +35,7 @@ public void DiskUtils_OnWindows_PassNonCanonicalPath_ReturnCanonicalPath()
         if (!RuntimeInformation.IsOSPlatform(OSPlatform.Windows)) return;
 
         var expected = Environment.CurrentDirectory;
-        var nonCanonicalPath = new string(MakeNonCanonicalPath(expected).ToArray());
+        var nonCanonicalPath = new string(expected.MakeNonCanonicalPath().ToArray());
 
         // Act
         var actual = DiskUtils.GetRealPath(nonCanonicalPath);
@@ -76,18 +76,4 @@ private static string Back(List<string> folders, int stepsBack, string delimiter
 
         return string.Join(delimiter, finalFolders);
     }
-
-    private static IEnumerable<char> MakeNonCanonicalPath(string path)
-    {
-        foreach (var @char in path)
-        {
-            if (char.IsLetter(@char) && Random.Shared.NextSingle() >= 0.5)
-            {
-                yield return char.ToUpper(@char);
-                continue;
-            }
-
-            yield return @char;
-        }
-    }
 }
diff --git a/TruePath.Tests/LocalPathEqualsTests.cs b/TruePath.Tests/LocalPathEqualsTests.cs
new file mode 100644
index 0000000..391fd41
--- /dev/null
+++ b/TruePath.Tests/LocalPathEqualsTests.cs
@@ -0,0 +1,99 @@
+namespace TruePath.Tests;
+
+public partial class LocalPathTests
+{
+    [Fact]
+    public void EqualsUseStrictStringPathComparer_SamePaths_True()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = currentDirectory;
+
+        var path1 = new LocalPath(currentDirectory);
+        var path2 = new LocalPath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, StrictStringPathComparer.Comparer);
+
+        // Assert
+        Assert.True(equals);
+    }
+
+    [Fact]
+    public void EqualsUseStrictStringPathComparer_NotSamePaths_False()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new LocalPath(currentDirectory);
+        var path2 = new LocalPath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, StrictStringPathComparer.Comparer);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void OnLinux_EqualsDefault_CaseSensitive_False()
+    {
+        // Arrange
+        if (RuntimeInformation.IsOSPlatform(OSPlatform.Windows) || RuntimeInformation.IsOSPlatform(OSPlatform.OSX))
+        {
+            return;
+        }
+
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new LocalPath(currentDirectory);
+        var path2 = new LocalPath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void EqualsNull_False()
+    {
+        // Arrange
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = currentDirectory;
+
+        var path1 = new LocalPath(currentDirectory);
+        var path2 = new LocalPath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2, null);
+
+        // Assert
+        Assert.False(equals);
+    }
+
+    [Fact]
+    public void OnWindowsOrOsx_EqualsDefault_CaseInsensitive_True()
+    {
+        // Arrange
+        if (!RuntimeInformation.IsOSPlatform(OSPlatform.Windows) && !RuntimeInformation.IsOSPlatform(OSPlatform.OSX))
+        {
+            return;
+        }
+
+        var currentDirectory = Environment.CurrentDirectory;
+        var nonCanonicalPath = new string(currentDirectory.MakeNonCanonicalPath().ToArray());
+
+        var path1 = new LocalPath(currentDirectory);
+        var path2 = new LocalPath(nonCanonicalPath);
+
+        // Act
+        var equals = path1.Equals(path2);
+
+        // Assert
+        Assert.True(equals);
+    }
+}
diff --git a/TruePath.Tests/LocalPathTests.cs b/TruePath.Tests/LocalPathTests.cs
index 458ea5f..6877ae0 100644
--- a/TruePath.Tests/LocalPathTests.cs
+++ b/TruePath.Tests/LocalPathTests.cs
@@ -4,7 +4,7 @@
 
 namespace TruePath.Tests;
 
-public class LocalPathTests
+public partial class LocalPathTests
 {
     [Theory]
     [InlineData("user", "user/documents")]
diff --git a/TruePath.Tests/Utils.cs b/TruePath.Tests/Utils.cs
new file mode 100644
index 0000000..c1f934d
--- /dev/null
+++ b/TruePath.Tests/Utils.cs
@@ -0,0 +1,18 @@
+namespace TruePath.Tests;
+
+public static class Utils
+{
+    internal static IEnumerable<char> MakeNonCanonicalPath(this string path)
+    {
+        foreach (var @char in path)
+        {
+            if (char.IsLetter(@char) && Random.Shared.NextSingle() >= 0.5)
+            {
+                yield return char.ToUpper(@char);
+                continue;
+            }
+
+            yield return @char;
+        }
+    }
+}
diff --git a/TruePath/AbsolutePath.cs b/TruePath/AbsolutePath.cs
index 1f174c9..111b3af 100644
--- a/TruePath/AbsolutePath.cs
+++ b/TruePath/AbsolutePath.cs
@@ -103,7 +103,29 @@ public bool IsPrefixOf(AbsolutePath other)
     /// <remarks>Note that currently this comparison is case-sensitive.</remarks>
     public bool Equals(AbsolutePath other)
     {
-        return Underlying.Equals(other.Underlying);
+        var comparer = PlatformDefaultPathComparer.Comparer;
+        return comparer.Compare(Underlying.Value, other.Underlying.Value) == 0;
+    }
+
+    /// <summary>
+    /// Determines whether the specified <see cref="AbsolutePath"/> is equal to the current <see cref="AbsolutePath"/> using the specified string comparer.
+    /// </summary>
+    /// <param name="other">The <see cref="AbsolutePath"/> to compare with the current <see cref="AbsolutePath"/>.</param>
+    /// <param name="comparer">The comparer to use for comparing the paths.</param>
+    /// <returns>
+    /// <see langword="true"/> if the specified <see cref="AbsolutePath"/> is equal to the current <see cref="AbsolutePath"/> using the specified string comparer; otherwise, <see langword="false"/>.
+    /// </returns>
+    /// <remarks>
+    /// If the comparer is null, this method returns <see langword="false"/>.
+    /// </remarks>
+    public bool Equals(AbsolutePath other, IComparer<string>? comparer)
+    {
+        if (comparer is null)
+        {
+            return false;
+        }
+
+        return comparer.Compare(Value, other.Value) == 0;
     }
 
     /// <inheritdoc cref="Equals(AbsolutePath)"/>
diff --git a/TruePath/LocalPath.cs b/TruePath/LocalPath.cs
index 9cb3522..393b490 100644
--- a/TruePath/LocalPath.cs
+++ b/TruePath/LocalPath.cs
@@ -42,7 +42,29 @@ public readonly struct LocalPath(string value) : IEquatable<LocalPath>, IPath, I
     /// <remarks>Note that currently this comparison is case-sensitive.</remarks>
     public bool Equals(LocalPath other)
     {
-        return Value == other.Value;
+        var comparer = PlatformDefaultPathComparer.Comparer;
+        return comparer.Compare(Value, other.Value) == 0;
+    }
+
+    /// <summary>
+    /// Determines whether the specified <see cref="LocalPath"/> is equal to the current <see cref="LocalPath"/> using the specified string comparer.
+    /// </summary>
+    /// <param name="other">The <see cref="LocalPath"/> to compare with the current <see cref="LocalPath"/>.</param>
+    /// <param name="comparer">The comparer to use for comparing the paths.</param>
+    /// <returns>
+    /// <see langword="true"/> if the specified <see cref="LocalPath"/> is equal to the current <see cref="LocalPath"/> using the specified string comparer; otherwise, <see langword="false"/>.
+    /// </returns>
+    /// <remarks>
+    /// If the comparer is null, this method returns <see langword="false"/>.
+    /// </remarks>
+    public bool Equals(LocalPath other, IComparer<string>? comparer)
+    {
+        if (comparer is null)
+        {
+            return false;
+        }
+
+        return comparer.Compare(Value, other.Value) == 0;
     }
 
     /// <inheritdoc cref="Equals(LocalPath)"/>
diff --git a/TruePath/PlatformDefaultPathComparer.cs b/TruePath/PlatformDefaultPathComparer.cs
new file mode 100644
index 0000000..ee6f6fe
--- /dev/null
+++ b/TruePath/PlatformDefaultPathComparer.cs
@@ -0,0 +1,45 @@
+using System.Runtime.InteropServices;
+
+namespace TruePath;
+
+/// <summary>
+/// Provides a platform-specific string comparer for comparing file paths.
+/// </summary>
+public class PlatformDefaultPathComparer : IComparer<string>
+{
+    /// <summary>
+    /// Gets the singleton instance of the <see cref="PlatformDefaultPathComparer"/> class.
+    /// </summary>
+    public static readonly PlatformDefaultPathComparer Comparer = new();
+
+    private readonly StringComparer comparisonType;
+
+    /// <summary>
+    /// Initializes a new instance of the <see cref="PlatformDefaultPathComparer"/> class.
+    /// </summary>
+    public PlatformDefaultPathComparer()
+    {
+        // Определяем тип сравнения в зависимости от платформы
+        if (RuntimeInformation.IsOSPlatform(OSPlatform.Windows) || RuntimeInformation.IsOSPlatform(OSPlatform.OSX))
+        {
+            comparisonType = StringComparer.OrdinalIgnoreCase;
+        }
+        else
+        {
+            comparisonType = StringComparer.Ordinal;
+        }
+    }
+
+    /// <summary>
+    /// Compares two strings and returns an integer that indicates their relative position in the sort order.
+    /// </summary>
+    /// <param name="x">The first string to compare.</param>
+    /// <param name="y">The second string to compare.</param>
+    /// <returns>
+    /// A value less than zero if <paramref name="x"/> is less than <paramref name="y"/>; zero if <paramref name="x"/> equals <paramref name="y"/>; a value greater than zero if <paramref name="x"/> is greater than <paramref name="y"/>.
+    /// </returns>
+    public int Compare(string? x, string? y)
+    {
+        return comparisonType.Compare(x, y);
+    }
+}
diff --git a/TruePath/StrictStringPathComparer.cs b/TruePath/StrictStringPathComparer.cs
new file mode 100644
index 0000000..51ace22
--- /dev/null
+++ b/TruePath/StrictStringPathComparer.cs
@@ -0,0 +1,25 @@
+namespace TruePath;
+
+/// <summary>
+/// Provides a strict string comparer for comparing file paths using ordinal comparison.
+/// </summary>
+public class StrictStringPathComparer : IComparer<string>
+{
+    /// <summary>
+    /// Gets the singleton instance of the <see cref="StrictStringPathComparer"/> class.
+    /// </summary>
+    public static readonly StrictStringPathComparer Comparer = new();
+
+    /// <summary>
+    /// Compares two strings and returns an integer that indicates their relative position in the sort order using ordinal comparison.
+    /// </summary>
+    /// <param name="x">The first string to compare.</param>
+    /// <param name="y">The second string to compare.</param>
+    /// <returns>
+    /// A value less than zero if <paramref name="x"/> is less than <paramref name="y"/>; zero if <paramref name="x"/> equals <paramref name="y"/>; a value greater than zero if <paramref name="x"/> is greater than <paramref name="y"/>.
+    /// </returns>
+    public int Compare(string? x, string? y)
+    {
+        return StringComparer.Ordinal.Compare(x, y);
+    }
+}