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A fully equational proof of Parikh’s theorem

Luca AcetoZoltán ÉsikAnna Ingólfsdóttir — 2002

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications

We show that the validity of Parikh’s theorem for context-free languages depends only on a few equational properties of least pre-fixed points. Moreover, we exhibit an infinite basis of μ -term equations of continuous commutative idempotent semirings.

Characteristic Formulae for Timed Automata

Luca AcetoAnna IngólfsdóttirMikkel Lykke PedersenJan Poulsen — 2010

RAIRO - Theoretical Informatics and Applications

This paper offers characteristic formula constructions in the real-time logic for several behavioural relations between (states of) timed automata. The behavioural relations studied in this work are timed (bi)similarity, timed ready simulation, faster-than bisimilarity and timed trace inclusion. The characteristic formulae delivered by our constructions have size which is linear in that of the timed automaton they logically describe. This also applies to the characteristic formula for...

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