[README] Fix links, minor edits.
Fix links without breaking g3doc.
Minor stylistic edits.
--
PiperOrigin-RevId: 241846985
diff --git a/README.md b/README.md
index 98c2eb8..db2be30 100644
--- a/README.md
+++ b/README.md
@@ -19,7 +19,7 @@
itself.
* [The MLIR rationale document](g3doc/Rationale.md), covering motivation
behind some decisions.
-* Previous external [talks](#talks).
+* Previous external [talks](#mlir-talks).
Join the [MLIR mailing list](https://groups.google.com/a/tensorflow.org/forum/#!forum/mlir)
to hear about announcements and discussions.
@@ -40,7 +40,7 @@
* Representation of kernels for ML operations in a form suitable for
optimization.
* Ability to host high-performance-computing-style loop optimizations across
- kernels (fusion, loop interchange, tiling, etc), and transform memory
+ kernels (fusion, loop interchange, tiling, etc) and to transform memory
layouts of data.
* Code generation "lowering" transformations such as DMA insertion, explicit
cache management, memory tiling, and vectorization for 1D and 2D register
@@ -60,7 +60,7 @@
would love to see a kernel language happen someday, that will be an independent
project that compiles down to MLIR.
-## Compiler Infrastructure {#compiler-infrastructure}
+## Compiler infrastructure
We benefitted from experience gained from building other IRs (HLO, LLVM and SIL)
when building MLIR. We will directly adopt existing best practices, e.g. writing
@@ -83,19 +83,19 @@
```
git clone https://github.com/llvm/llvm-project.git
-cd llvm-projects/llvm/projects/
+cd llvm-project/llvm/projects/
git clone https://github.com/tensorflow/mlir
-cd ../../
+cd ../..
mkdir build
cd build
-cmake -G Ninja ../llvm/ -DLLVM_BUILD_EXAMPLES=ON
+cmake -G Ninja ../llvm -DLLVM_BUILD_EXAMPLES=ON
ninja check-mlir
```
As a starter, you may try [the tutorial](g3doc/Tutorials/Toy/Ch-1.md) on
building a compiler for a Toy language.
-# MLIR talks {#talks}
+# MLIR talks
* "[MLIR Primer: A Compiler Infrastructure for the End of Moore’s
Law](https://drive.google.com/file/d/1hUeAJXcAXwz82RXA5VtO5ZoH8cVQhrOK/view?usp=sharing)"
