On Fork Arrow Logic and Its Expressive Power

Journal of Philosophical Logic 36 (5):489 - 509 (2007)
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We compare fork arrow logic, an extension of arrow logic, and its natural first-order counterpart (the correspondence language) and show that both have the same expressive power. Arrow logic is a modal logic for reasoning about arrow structures, its expressive power is limited to a bounded fragment of first-order logic. Fork arrow logic is obtained by adding to arrow logic the fork modality (related to parallelism and synchronization). As a result, fork arrow logic attains the expressive power of its first-order correspondence language, so both can express the same input-output behavior of processes



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Mathematical logic.Heinz-Dieter Ebbinghaus - 1996 - New York: Springer. Edited by Jörg Flum & Wolfgang Thomas.
Algebraic semantics for modal logics II.E. J. Lemmon - 1966 - Journal of Symbolic Logic 31 (2):191-218.
Arrow Logic and Multi-Modal Logic.Maarten Marx, Laszls Pslos & Michael Masuch - 1996 - Center for the Study of Language and Information Publications.

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