Substructural logics
著者
書誌事項
Substructural logics
（Studies in logic and computation, 2）
Clarendon Press , Oxford University Press, 1993
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内容説明・目次
内容説明
Substructural logics are nonclassical logics, which arose in response to problems in foundations of mathematics and logic, theoretical computer science, mathematical linguistics, and category theory. They include intuitionistic logic, relevant logic, BCK logic, linear logic, and Lambek's calculus of syntactic categories.
Substructural logics differ from classical logics, and from each other, in their presuppositions about Gentzen's structural rules, although their presuppositions about the deductive role of logic constants are invariant.
Substructural logics have been a subject of study for logicians during the last sixty years. Specialists have often worked in isolation, however, largely unaware of the contributions of others. This book brings together new papers by some of the most eminent authorities in these various traditions to produce a unified view of substructural logics.
目次
- A historical introduction to substructural logics
- Life in the undistributed middle
- Theorems in classical logic are instances of theorems in condensed BCI logic
- Partial gaggles applied to logics with restricted structural rules
- A general theory of structured consequence relations
- Decidability and interpolation for a first-order relevance logic
- Logic without structural rules (another look at cut elimination)
- From categorial grammar to bilinear logic
- The semantics of entailment O
- Lambda terms with functional symbols and decidability in certain closed categories
- Tutorial on linear logic
- The landscape of deduction
- Index
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