- Tytuł:
- Preserving Filtering Unification by Adding Compatible Operations to Some Heyting Algebras
- Autorzy:
-
Dzik, Wojciech
Radeleczki, Sándor - Powiązania:
- https://bibliotekanauki.pl/articles/749994.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Łódzki. Wydawnictwo Uniwersytetu Łódzkiego
- Tematy:
-
filtering unification
compatible operation
intuitionistic logic
Heyting algebra
residuated lattice - Opis:
- We show that adding compatible operations to Heyting algebras and to commutative residuated lattices, both satisfying the Stone law ¬x ⋁ ¬¬x = 1, preserves filtering (or directed) unification, that is, the property that for every two unifiers there is a unifier more general then both of them. Contrary to that, often adding new operations to algebras results in changing the unification type. To prove the results we apply the theorems of [9] on direct products of l-algebras and filtering unification. We consider examples of frontal Heyting algebras, in particular Heyting algebras with the successor, γ and G operations as well as expansions of some commutative integral residuated lattices with successor operations.
- Źródło:
-
Bulletin of the Section of Logic; 2016, 45, 3/4
0138-0680
2449-836X - Pojawia się w:
- Bulletin of the Section of Logic
- Dostawca treści:
- Biblioteka Nauki
Artykuł