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SASyLF: An Educational Proof Assistant for Language Theory
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SASyLF: An Educational Proof Assistant for Language Theory


Teaching and learning formal programming language theory is hard, in part because it's easy to make mistakes and hard to find them.  Proof assistants can help check proofs, but their learning curve is too steep to use in most classes, and is a barrier to researchers too.

SASyLF (pronounced "Sassy Elf") is an LF-based proof assistant specialized to checking theorems about programming languages and logics.  SASyLF has a simple design philosophy: language and logic syntax, semantics, and meta-theory should be written as closely as possible to the way it is done on paper.  SASyLF can express proofs typical of an introductory graduate type theory course.  SASyLF proofs are generally very explicit, but its built-in support for variable binding provides substitution properties for free and avoids awkward variable encodings.  We have some preliminary experience teaching with SASyLF in a graduate Analysis course at Carnegie Mellon University.

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