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FUZZIEEE
2007
IEEE
16 years 28 days ago
A Fuzzy Description Logic with Product T-norm
— Fuzzy Description Logics (fuzzy DLs) have been proposed as a language to describe structured knowledge with vague concepts. It is well known that the choice of the fuzzy operat...
Fernando Bobillo, Umberto Straccia
LICS
2007
IEEE
16 years 26 days ago
Separating DAG-Like and Tree-Like Proof Systems
We show that tree-like (Gentzen’s calculus) PK where all cut formulas have depth at most a constant d does not simulate cut-free PK. Generally, we exhibit a family of sequents t...
Phuong Nguyen
TPHOL
2007
IEEE
16 years 26 days ago
Mizar's Soft Type System
In Mizar, unlike in most other proof assistants, the types are not part of the foundations of the system. Mizar is based on untyped set theory, which means that in Mizar expression...
Freek Wiedijk
CSL
2007
Springer
16 years 23 days ago
Focusing and Polarization in Intuitionistic Logic
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
Chuck Liang, Dale Miller
ICLP
2007
Springer
16 years 23 days ago
Minimal Logic Programs
aa We consider the problem of obtaining a minimal logic program strongly equivalent (under the stable models semantics) to a given arbitrary propositional theory. We propose a meth...
Pedro Cabalar, David Pearce, Agustín Valver...