Logic TK: Algebraic Notions from Tarski’s Consequence Operator
Tarski presented his definition of consequence operator to explain the most important notions which any logical consequence concept must contemplate. A Tarski space is a pair constituted by a nonempty set and a consequence operator. This structure characterizes an almost topological space. This pape...
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Universidade Federal de Santa Catarina
2010-01-01
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| Series: | Principia: An International Journal of Epistemology |
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| Online Access: | https://periodicos.ufsc.br/index.php/principia/article/view/19662 |
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doaj-03f85575bf874c7f92a26bbdcd74b0402020-11-25T01:41:52ZengUniversidade Federal de Santa CatarinaPrincipia: An International Journal of Epistemology1414-42471808-17112010-01-01141477010.5007/1808-1711.2010v14n1p4715168Logic TK: Algebraic Notions from Tarski’s Consequence OperatorHércules A. Feitosa0Mauri C. do Nascimento1Maria Claudia C. Grácio2São Pauko State University – UNESP/FCSão Pauko State University - UNESP/FCSão Pauko State University - UNESP/FCTarski presented his definition of consequence operator to explain the most important notions which any logical consequence concept must contemplate. A Tarski space is a pair constituted by a nonempty set and a consequence operator. This structure characterizes an almost topological space. This paper presents an algebraic view of the Tarski spaces and introduces a modal propositional logic which has as a model exactly the closed sets of a Tarski space.https://periodicos.ufsc.br/index.php/principia/article/view/19662espaço de tarskiespaço quase topológicooperador de consequêncialógica modalmodelo algébrico. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hércules A. Feitosa Mauri C. do Nascimento Maria Claudia C. Grácio |
| spellingShingle |
Hércules A. Feitosa Mauri C. do Nascimento Maria Claudia C. Grácio Logic TK: Algebraic Notions from Tarski’s Consequence Operator Principia: An International Journal of Epistemology espaço de tarski espaço quase topológico operador de consequência lógica modal modelo algébrico. |
| author_facet |
Hércules A. Feitosa Mauri C. do Nascimento Maria Claudia C. Grácio |
| author_sort |
Hércules A. Feitosa |
| title |
Logic TK: Algebraic Notions from Tarski’s Consequence Operator |
| title_short |
Logic TK: Algebraic Notions from Tarski’s Consequence Operator |
| title_full |
Logic TK: Algebraic Notions from Tarski’s Consequence Operator |
| title_fullStr |
Logic TK: Algebraic Notions from Tarski’s Consequence Operator |
| title_full_unstemmed |
Logic TK: Algebraic Notions from Tarski’s Consequence Operator |
| title_sort |
logic tk: algebraic notions from tarski’s consequence operator |
| publisher |
Universidade Federal de Santa Catarina |
| series |
Principia: An International Journal of Epistemology |
| issn |
1414-4247 1808-1711 |
| publishDate |
2010-01-01 |
| description |
Tarski presented his definition of consequence operator to explain the most important notions which any logical consequence concept must contemplate. A Tarski space is a pair constituted by a nonempty set and a consequence operator. This structure characterizes an almost topological space. This paper presents an algebraic view of the Tarski spaces and introduces a modal propositional logic which has as a model exactly the closed sets of a Tarski space. |
| topic |
espaço de tarski espaço quase topológico operador de consequência lógica modal modelo algébrico. |
| url |
https://periodicos.ufsc.br/index.php/principia/article/view/19662 |
| work_keys_str_mv |
AT herculesafeitosa logictkalgebraicnotionsfromtarskisconsequenceoperator AT mauricdonascimento logictkalgebraicnotionsfromtarskisconsequenceoperator AT mariaclaudiacgracio logictkalgebraicnotionsfromtarskisconsequenceoperator |
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