Negative Modal Operators in Intuitionistic Logic
Kosta Došen (1984)
Publications de l'Institut Mathématique
Došen, Kosta (1984)
Publications de l'Institut Mathématique. Nouvelle Série
Jan Jaspars (1993)
Banach Center Publications
A "partial" generalization of Fine's definition [Fin] of normal forms in normal minimal modal logic is given. This means quick access to complete axiomatizations and decidability proofs for partial modal logic [Thi].
Petr Hájek, Pavel Kalášek, Petr Kůrka (1980)
Kybernetika
Loredana Afanasiev, Balder Ten Cate (2013)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
We prove the undecidability of Core XPath 1.0 (CXP) [G. Gottlob and C. Koch, in Proc. of 17th Ann. IEEE Symp. on Logic in Computer Science, LICS ’02 (Copenhagen, July 2002). IEEE CS Press (2002) 189–202.] extended with an Inflationary Fixed Point (IFP) operator. More specifically, we prove that the satisfiability problem of this language is undecidable. In fact, the fragment of CXP+IFP containing only the self and descendant axes is already undecidable.
Petr Hájek (1981)
Commentationes Mathematicae Universitatis Carolinae
E.G.K. López-Escobar (1985)
Revista colombiana de matematicas
Susanne Graf (1984)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
Radoslaw Katarzyniak (2006)
International Journal of Applied Mathematics and Computer Science
A language grounding problem is considered for nonuniform sets of modal conjunctions consisting of conjunctions extended with more than one modal operator of knowledge, belief or possibility. The grounding is considered in the context of semiotic triangles built from language symbols, communicative cognitive agents and external objects. The communicative cognitive agents are assumed to be able to observe external worlds and store the results of observations in internal knowledge bases. It is assumed...
Goubault-Larrecq, Jean, Goubault, Éric (2003)
Homology, Homotopy and Applications
Kamila Bendová (1981)
Commentationes Mathematicae Universitatis Carolinae
Mijajlović, Žarko (1987)
Publications de l'Institut Mathématique. Nouvelle Série
Don Pigozzi, Antonino Salibra (1993)
Banach Center Publications
The polyadic algebras that arise from the algebraization of the first-order extensions of a SIC are characterized and a representation theorem is proved. Standard implicational calculi (SIC)'s were considered by H. Rasiowa [19] and include classical and intuitionistic logic and their various weakenings and fragments, the many-valued logics of Post and Łukasiewicz, modal logics that admit the rule of necessitation, BCK logic, etc.
Milan Božić (1984)
Publications de l'Institut Mathématique
Božić, Milan (1984)
Publications de l'Institut Mathématique. Nouvelle Série
Rybakov, V.V., Rimatskij, V.V. (2002)
Sibirskij Matematicheskij Zhurnal
Tinko Tinchev, Dimiter Vakarelov (1988)
Banach Center Publications
George Boolos (1980)
Fundamenta Mathematicae
Celani, Sergio (2001)
Divulgaciones Matemáticas
E. Marchioni (2008)
Mathware and Soft Computing