Atıf İçin Kopyala
Khaled M. K. M. I., Sayed Ahmed T.
Quaestiones Mathematicae, cilt.43, sa.1, ss.81-96, 2020 (SCI-Expanded)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
43
Sayı:
1
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Basım Tarihi:
2020
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Doi Numarası:
10.2989/16073606.2018.1538063
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Dergi Adı:
Quaestiones Mathematicae
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Derginin Tarandığı İndeksler:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
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Sayfa Sayıları:
ss.81-96
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Anahtar Kelimeler:
Cylindric algebras, games and networks, representability
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İstanbul Medipol Üniversitesi Adresli:
Hayır
Özet
In this paper, we give new proofs of the celebrated Andréka-Resek-Thompson representability results of certain axiomatized cylindric-like algebras. Such representability results provide completeness theorems for variants of first order logic, that can also be viewed as multi-modal logics. The proofs herein are combinatorial and we also use some techniques from game theory.