Substructural Logics

Inbunden, Engelska, 1993

Del 2 i serien Studies in Logic and Computation

2 164 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:1993-12-16
Mått:163 x 241 x 27 mm
Vikt:805 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Logic and Computation
Antal sidor:396
Förlag:Clarendon Press
ISBN:9780198537779

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Recensioner i media

It unites a number of research papers from the various traditions with some admirable survey articles ... this is a good collection of papers that would be useful to beginners in the field; it admirably fulfils the editors' ambition to bring together researchers from the different traditions in peaceful and fruitful collaboration.

Innehållsförteckning

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