Del 2 - Studies in Logic and Computation

Substructural Logics

Inbunden, Engelska, 1993

Av Dosen Schroeder-Heister, Kosta Dosen, P. Schroeder-Heister, Kosta Dosen, Peter Schroder-Heister, Belgrade) Dosen, Kosta (Professor of Mathematical Logic, Professor of Mathematical Logic, Mathematical Institute, Universitat Tubingen) Schroder-Heister, Peter (Professor of Logic and Philosophy of Language, Professor of Logic and Philosophy of Language

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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

Utgivningsdatum1993-12-16
Mått163 x 241 x 27 mm
Vikt805 g
FormatInbunden
SpråkEngelska
SerieStudies in Logic and Computation
Antal sidor396
FörlagClarendon Press
ISBN9780198537779

Tillhör följande kategorier

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