Abstract
We present the linear type theory λ Π⊸&⊤ as the formal basis for LLF , a conservative extension of the logical framework LF . LLF combines the expressive power of dependent types with linear logic to permit the natural and concise representation of a whole new class of deductive systems, namely those dealing with state. As an example we encode a version of Mini-ML with mutable references including its type system and its operational semantics and describe how to take practical advantage of the representation of its computations.
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