Visualising CTL Witnesses and Counterexamples -- Extended Version

Fuente: arXiv
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Autore principale: Rensink, Arend
Natura: Preprint
Pubblicazione: 2026
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author Rensink, Arend
author_facet Rensink, Arend
contents One of the advantages of LTL over CTL is that the notion of a counterexample is easy to grasp, visualise and process: it is a trace that violates the property at hand. In this paper we propose a notion of evidence for CTL properties on explicit-state models -- which equally serves as witness for satisfied properties and counterexample for violated ones -- and how to visualise it, with the main aim of (human) comprehension. The main contribution consists of a formal model of evidence, a characterisation of minimal evidence per temporal operator, and a concrete, implemented proposal for its visualisation. This is the extended version of a paper published in SPIN 2026, containing the proofs of all results.
format Preprint
id arxiv_https___arxiv_org_abs_2604_20253
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Visualising CTL Witnesses and Counterexamples -- Extended Version
Rensink, Arend
Logic in Computer Science
Formal Languages and Automata Theory
F.3.1
One of the advantages of LTL over CTL is that the notion of a counterexample is easy to grasp, visualise and process: it is a trace that violates the property at hand. In this paper we propose a notion of evidence for CTL properties on explicit-state models -- which equally serves as witness for satisfied properties and counterexample for violated ones -- and how to visualise it, with the main aim of (human) comprehension. The main contribution consists of a formal model of evidence, a characterisation of minimal evidence per temporal operator, and a concrete, implemented proposal for its visualisation. This is the extended version of a paper published in SPIN 2026, containing the proofs of all results.
title Visualising CTL Witnesses and Counterexamples -- Extended Version
topic Logic in Computer Science
Formal Languages and Automata Theory
F.3.1
url https://arxiv.org/abs/2604.20253