منابع مشابه
A Higher-Order Calculus for Categories
A calculus for a fragment of category theory is presented. The types in the language denote categories and the expressions functors. The judgements of the calculus systematise categorical arguments such as: an expression is functorial in its free variables; two expressions are naturally isomorphic in their free variables. There are special binders for limits and more general ends. The rules for...
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Introduction The following text arose from the desire to establish a rm relationship between higher order categories and topological spaces. Our approach combines the algebraic features of Michael Batanin's !-operads 1] with the geometric features of Andr e Joyal's cellular sets 15] and tries to mimick as far as possible the classical construction of the simplicial nerve of a category. Higher o...
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The π-calculus is not a closed theory, but rather a theory dependent upon some theory of names. Taking an operational view, one may think of the π-calculus as a procedure that when handed a theory of names provides a theory of processes that communicate over those names. This openness of the theory has been exploited in π-calculus implementations, where ancillary mechanisms provide a means of i...
متن کاملA Higher-order Calculus of Computational Fields
The complexity of large-scale distributed systems, particularly when deployed in physical space, calls for new mechanisms to address composability and reusability of collective adaptive behaviour. Computational fields have been proposed as an effective abstraction to fill the gap between the macro-level of such systems (specifying a system’s collective behaviour) and the micro-level (individual...
متن کاملA Higher-Order Calculus and Theory Abstraction
We present a higher-order calculus ECC which naturally combines Coquand-Huet's calculus of constructions and Martin-LL of's type theory with universes. ECC is very expressive, both for structured abstract reasoning and for program speciication and construction. In particular , the strong sum types together with the type universes provide a useful module mechanism for abstract description of mat...
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ژورنال
عنوان ژورنال: BRICS Report Series
سال: 2001
ISSN: 1601-5355,0909-0878
DOI: 10.7146/brics.v8i27.21687