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Titlebook: Category Theory and Computer Science; Paris, France, Septe David H. Pitt,Pierre-Louis Curien,David E. Rydehea Conference proceedings 1991 S

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书目名称Category Theory and Computer Science
副标题Paris, France, Septe
编辑David H. Pitt,Pierre-Louis Curien,David E. Rydehea
视频video
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Category Theory and Computer Science; Paris, France, Septe David H. Pitt,Pierre-Louis Curien,David E. Rydehea Conference proceedings 1991 S
描述The papers in this volume were presented at the fourthbiennial SummerConference on Category Theory and ComputerScience, held in Paris, September3-6, 1991. Category theorycontinues to be an important tool in foundationalstudies incomputer science. It has been widely applied by logicianstoget concise interpretations of many logical concepts. Linksbetweenlogic and computer science have been developed nowfor over twenty years, notably via the Curry-Howardisomorphism which identifies programs with proofs and typeswith propositions. The triangle category theory - logic-programming presents a rich world of interconnections.Topics covered in this volume include the following. Typetheory: stratification of typesand propositions can bediscussed in a categorical setting. Domain theory:syntheticdomain theory develops domain theory internally intheconstructive universe of the effective topos. Linear logic:the reconstruction of logic based on propositions asresources leads to alternatives to traditional syntaxes. Theproceedings of the previous three category theoryconferences appear as Lecture Notes in Computer ScienceVolumes 240, 283 and 389.
出版日期Conference proceedings 1991
关键词Category Theory; Domain Theory; Linear Logic; Lineare Logic; Programming Languages; Semantics; Semantik vo
版次1
doihttps://doi.org/10.1007/BFb0013452
isbn_softcover978-3-540-54495-1
isbn_ebook978-3-540-38413-7Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer-Verlag Berlin Heidelberg 1991
The information of publication is updating

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Two results on set-theoretic polymorphism, topos..The second is the . applicable to reflective subcategories of .. It clarifies the way in which they can be regarded as PER models, and has applications to the interpretation of subtyping and bounded quantification.
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Eduardo F. D’Azevedo,Neena Imame coherence theorem. Thus the result extends the theorem with respect to implicational formulas. The set of relevantly balanced formulas is characterized as the set of irrelevant substitution instances of principal type-schemes of BCK-λ-terms.
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Constructions and predicates,modular approach to programming..Our main result tells that, despite (2), the theory of predicates is as powerful as the theory of constructions: the constructions obstructed by (2) can be recovered in another form using (1). In fact, the theory of constructions is equivalent with a special case of the theory of predicates.
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0302-9743 mber3-6, 1991. Category theorycontinues to be an important tool in foundationalstudies incomputer science. It has been widely applied by logicianstoget concise interpretations of many logical concepts. Linksbetweenlogic and computer science have been developed nowfor over twenty years, notably via t
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