Generalized Galois Logics: Relational Semantics of Nonclassical Logical Calculi

Generalized Galois Logics: Relational Semantics of Nonclassical Logical Calculi
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广义伽罗瓦逻辑:非经典逻辑演算的关系语义

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发表时间:
2008
期刊:
影响因子:
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通讯作者:
J. Dunn
J. Dunn
中科院分区:
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文献类型:
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作者:
K. Bimbó;J. Dunn

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近年来,非经典逻辑在数学、计算机科学、语言学和哲学等学科中扮演着越来越重要的角色。“广义伽罗瓦逻辑”发展了一种统一的关系语义框架,通过代数在逻辑演算及其语义之间进行中介。本卷地址正常模态逻辑,如K和S5,和子结构逻辑,包括相关逻辑,线性逻辑和Lambek演算。两位作者同样巧妙地处理了不太熟悉的和新的逻辑系统。
Nonclassical logics have recently played an increasing role in disciplines ranging from mathematics and computer science to linguistics and philosophy. "Generalized Galois Logics" develops a uniform framework of relational semantics to mediate between logical calculi and their semantics through algebra. This volume addresses normal modal logics such as K and S5, and substructural logics, including relevance logics, linear logic, and Lambek calculi. The authors also treat less-familiar and new logical systems with equal deftness.