Büchi Types for Infinite Traces and Liveness

Martin Hofmann; Wei Chen

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arXiv · 1401.5107

Büchi Types for Infinite Traces and Liveness

Martin Hofmann·Wei Chen

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Abstract

We develop a new type and effect system based on Büchi automata to capture finite and infinite traces produced by programs in a small language which allows non-deterministic choices and infinite recursions. There are two key technical contributions: (a) an abstraction based on equivalence relations defined by the policy Büchi automaton, the Büchi abstraction; (b) a novel type and effect system to correctly capture infinite traces. We show how the Büchi abstraction fits into the abstract interpretation framework and show soundness and completeness.

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Martin Hofmann, Wei Chen. 2014-01-20. Büchi Types for Infinite Traces and Liveness. https://arxiv.org/abs/1401.5107

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