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Equality and Monodic First-Order Temporal Logic

✍ Scribed by Anatoli Degtyarev; Michael Fisher; Alexei Lisitsa


Book ID
110407612
Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
516 KB
Volume
72
Category
Article
ISSN
0039-3215

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πŸ“œ SIMILAR VOLUMES


Axiomatizing the monodic fragment of fir
✍ Frank Wolter; Michael Zakharyaschev πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 141 KB

It is known that even seemingly small fragments of the ΓΏrst-order temporal logic over the natural numbers are not recursively enumerable. In this paper we show that the monodic (not monadic, where this result does not hold) fragment is an exception by constructing its ΓΏnite Hilbert-style axiomatizat

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In this paper, we introduce a new fragment of the ΓΏrst-order temporal language, called the monodic fragment, in which all formulas beginning with a temporal operator (Since or Until) have at most one free variable. We show that the satisΓΏability problem for monodic formulas in various linear time st