Abstract:We propose a logic for temporal properties of higher-order programs that handle infinite objects like streams or infinite trees, represented via coinductive types. Specifications of programs use safety and liveness properties. Programs can then be proven to satisfy their specification in a compositional way, our logic being based on a type system.The logic is presented as a refinement type system over the guarded $$\lambda $$
λ
-calculus, a $$\lambda $$
λ
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