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arXiv · 2411.13412

Complete Test Suites for Automata in Monoidal Closed Categories

Bálint Kocsis·Jurriaan Rot
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Abstract

Conformance testing of automata is about checking the equivalence of a known specification and a black-box implementation. An important notion in conformance testing is that of a complete test suite, which guarantees that if an implementation satisfying certain conditions passes all tests, then it is equivalent to the specification. We introduce a framework for proving completeness of test suites at the general level of automata in monoidal closed categories. Moreover, we provide a generalization of a classical conformance testing technique, the W-method. We demonstrate the applicability of our results by recovering the W-method for deterministic finite automata, Moore machines, and Mealy machines, and by deriving new instances of complete test suites for weighted automata and deterministic nominal automata.

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Bálint Kocsis, Jurriaan Rot. 2024-11-20. Complete Test Suites for Automata in Monoidal Closed Categories. https://arxiv.org/abs/2411.13412

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