Prezados colegas,

É com prazer que lhes convido para o nosso primeiro encontro do Lolita/GEL
deste semestre.

Por favor, disseminem a informação para seus alunos/colegas.

Dia: 12/08/2016
Local: Anfiteatro A CCET/UFRN
Horário: 16h

***
Speaker: João Marcos
DIMAp -- UFRN
https://sites.google.com/site/sequiturquodlibet/

Title:
It ain’t necessarily so: Basic sequent systems for negative modalities

Abstract:
We look at non-classical negations and their corresponding adjustment
connectives from a modal viewpoint, over complete distributive
lattices, and apply a very general mechanism in order to offer
adequate analytic proof systems to logics that are based on them.
Defining non-classical negations within usual modal semantics
automatically allows one to treat equivalent formulas as synonymous,
and to have a natural justification for a global version of the
contraposition rule. From that perspective, our study offers a
particularly useful environment in which negative modalities and their
companions may be used for dealing with inconsistency and
indeterminacy. After investigating modal logics based on arbitrary
frames, we extend the results to serial frames, reflexive frames,
functional frames, and symmetric frames. In each case we also
investigate when and how classical negation may thereby be defined.

This is joint work with Ori Lahav and Yoni Zohar.

-- 
Elaine.
-------------------------------------------------
Elaine Pimentel  - DMAT/UFRN

Address: Departamento de Matemática
    Universidade Federal do Rio Grande do Norte
    Campus Universitário - Av. Senador Salgado Filho, s/nº
    Lagoa Nova, CEP: 59.078-970 - Natal - RN

Phone: +55 84 9193-6127 / 3215-3819
Fax:   +55 84 3211-9219

http://sites.google.com/site/elainepimentel/
Lattes: http://lattes.cnpq.br/3298246411086415
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