I put up some old notes by Illusie here for you; they're very detailed and treat log smoothness, the log de Rham complex, and other topics in their second exposé. They're my favourite first reference.

There is also Ogus's book, the latest draft of which is on Ogus's page.

I put up some old notes by Illusie here for you; they're very detailed and treat log smoothness, the log de Rham complex, and other topics in their second exposé. They're my favourite first reference.

There is also Ogus's book, the latest draft of which is here.

I put up some very useful old notes by Illusie here for you; they're very detailed and treat log smoothness, the log de Rham complex, and other topics in their second exposé. They're my favourite first reference.

The latest draft of Ogus's book, mentioned by Emerton above, is on Ogus's page.

I put up some old notes by Illusie here for you; they're very detailed and treat log smoothness, the log de Rham complex, and other topics in their second exposé. They're my favourite first reference.

There is also Ogus's book, the latest draft of which is on Ogus's page.