diff --git a/docs/build_system.md b/docs/build_system.md
index 0b771d202f..98581f3898 100644
--- a/docs/build_system.md
+++ b/docs/build_system.md
@@ -16,9 +16,9 @@ The main solution for the second point seems a Makefile, otherwise many of the u
 ## General Design
 
 1. Templates are generated by `templates/template.rb`
-4. The `Makefile` compiles both `libprism.a` and `libprism.{so,dylib,dll}` from the `src/**/*.c` and `include/**/*.h` files
-5. The `Rakefile` `:compile` task ensures the above prerequisites are done, then calls `make`,
-  and uses `Rake::ExtensionTask` to compile the C extension (using its `extconf.rb`), which uses `libprism.a`
+2. The `Makefile` compiles both `libprism.a` and `libprism.{so,dylib,dll}` from the `src/**/*.c` and `include/**/*.h` files
+3. The `Rakefile` `:compile` task ensures the above prerequisites are done, then calls `make`,
+   and uses `Rake::ExtensionTask` to compile the C extension (using its `extconf.rb`)
 
 This way there is minimal duplication, and each layer builds on the previous one and has its own responsibilities.
 
@@ -35,14 +35,11 @@ loaded per process (i.e., at most one version of the prism *gem* loaded in a pro
 ### Building the prism gem by `gem install/bundle install`
 
 The gem contains the pre-generated templates.
-When installing the gem, `extconf.rb` is used and that:
-* runs `make build/libprism.a`
-* compiles the C extension with mkmf
 
-When installing the gem on JRuby and TruffleRuby, no C extension is built, so instead of the last step,
-there is Ruby code using FFI which uses `libprism.{so,dylib,dll}`
-to implement the same methods as the C extension, but using serialization instead of many native calls/accesses
-(JRuby does not support C extensions, serialization is faster on TruffleRuby than the C extension).
+When installing the gem on CRuby, `extconf.rb` is used and that compiles the C extension with mkmf, including both the extension files and the sources of prism itself.
+
+When installing the gem on JRuby and TruffleRuby, no C extension is built, so instead the `extconf.rb` runs `make build/libprism.{so,dylib,dll}`.
+There is Ruby code using FFI which uses `libprism.{so,dylib,dll}` to implement the same methods as the C extension, but using serialization instead of many native calls/accesses (JRuby does not support C extensions, serialization is faster on TruffleRuby than the C extension).
 
 ### Building the prism gem from git, e.g. `gem "prism", github: "ruby/prism"`
 
@@ -66,7 +63,7 @@ The script generates the templates when importing.
 
 Then when `mx build` builds TruffleRuby and the `prism` mx project inside, it runs `make`.
 
-Then the `prism bindings` mx project is built, which contains the [bindings](https://github.com/oracle/truffleruby/blob/master/src/main/c/prism_bindings/src/prism_bindings.c)
+Then the `prism bindings` mx project is built, which contains the [bindings](https://github.com/oracle/truffleruby/blob/vm-24.1.1/src/main/c/yarp_bindings/src/yarp_bindings.c)
 and links to `libprism.a` (to avoid exporting symbols, so no conflict when installing the prism gem).
 
 ### Building prism as part of JRuby
diff --git a/ext/prism/extconf.rb b/ext/prism/extconf.rb
index 682fdcf982..20ba28fe46 100644
--- a/ext/prism/extconf.rb
+++ b/ext/prism/extconf.rb
@@ -107,12 +107,6 @@ def make(env, target)
 # By default, all symbols are hidden in the shared library.
 append_cflags("-fvisibility=hidden")
 
-# We need to link against the libprism.a archive, which is built by the
-# project's `Makefile`. We'll build it if it doesn't exist yet, and then add it
-# to `mkmf`'s list of local libraries.
-archive_target = "build/libprism.a"
-archive_path = File.expand_path("../../#{archive_target}", __dir__)
-
 def src_list(path)
   srcdir = path.dup
   RbConfig.expand(srcdir) # mutates srcdir :-/