Unifiability and Structural Completeness in Relation Algebras and in Products of Modal Logic S5

• Autorzy: Dzik, Wojciech , Wróbel, Beniamin

Abstrakty

EN

Unifiability of terms (and formulas) and structural completeness in the variety of relation algebras RA and in the products of modal logic S5 is investigated. Nonunifiable terms (formulas) which are satisfiable in varieties (in logics) are exhibited. Consequently, RA and products of S5 as well as representable diagonal-free n-dimensional cylindric algebras, RDfn, are almost structurally complete but not structurally complete. In case of S5n a basis for admissible rules and the form of all passive rules are provided.

Słowa kluczowe

EN

admissible rules; passive rules; unification; projective unification; almost structural completeness; n-modal logic S5n; relation algebras; representable diagonal-free cylindric algebras

• Wydawca: Wydawnictwo Uniwersytetu Łódzkiego
• Czasopismo: Bulletin of the Section of Logic
• Rocznik: 2015
• Tom: 44
• Numer: 1-2

Daty

wydano

2015

Twórcy

autor

Dzik, Wojciech

autor

Wróbel, Beniamin

other

University of Silesia Institute of Mathematics, Bankowa 12, 40 007 Katowice, Poland

other

[e-mail]

other

[e-mail]

Identyfikatory

URI

http://hdl.handle.net/11089/17394