On elementary equivalence in Fuzzy Predicate Logics
Publication Type:
Journal ArticleSource:
Archive for Mathematical Logic, Springer-Verlag (In Press)Keywords:
Mathematical Logic and Foundations; Model Theory; Fuzzy Predicate Logics; Elementary Extensions; Witnessed Models; Quasi-witnessed ModelsAbstract:
Our work is a contribution to the model theory of fuzzy predicate logics. In
this paper we characterize elementary equivalence between models of fuzzy predicate
logic using elementary mappings. Re ning the method of diagrams we give a solution
to an open problem of P. Hajek and P. Cintula (Conjectures 1 and 2 of [HaCi06]).
We investigate also the properties of elementary extensions in witnessed and quasiwitnessed
theories, generalizing some results of Section 7 of [HaCi06] and of Section 4
of [CeEs11] to non-exhaustive models.
An abstract study of disjunction connectives in non-classical logics
First-order SMTL Logic and quasi-witnessed models
Towards a logical model of induction from examples and communication
Publication Type:
Conference PaperSource:
Artificial Intelligence Research and Development, CCIA'10, IOS Press, p.259-268 (2010)Keywords:
Induction; Logic; Argumentation; Machine LearningAbstract:
This paper focuses on a logical model of induction, and specifically of
the common machine learning task of inductive concept learning (ICL). We define
an inductive derivation relation, which characterizes which hypothesis can be
induced from sets of examples, and show its properties. Moreover, we will also
consider the problem of communicating inductive inferences between two agents,
which corresponds to the multi-agent ICL problem. Thanks to the introduced logical
model of induction, we will show that this communication can be modeled
using computational argumentation.
From Classical Description Logic to n-graded Fuzzy Description logics
