Ishtiaq, S. and D. Pym, Corrections and Remarks, Research Report RR-00-04, Department of Computer Science, Queen Mary and Westeld College, University of London, September 2000, available at URL: http://www.dcs.qmw.ac.uk/pym  Home/Search   Document Not in Database   Summary   Related Articles

....one 3 A CCC is bi cartesian closed if it is also bi cartesian, i.e. has co products as well as products. 4 X Y 6 F (X) X F (Y ) Y ( Fig. 2. Fibred Models of Proofs of which is bi cartesian. At the predicate level, the analysis is less clear. The calculus [14,13,15,16] is a dependently typed calculus which provides a partial analysis, being both in the spirit of BI and yet somewhat reliant on the presence of a form of Dereliction. Nevertheless, can be interpreted in the general bred framework sketched in Figure 2; Classical logic: the and ....

.... t : can be interpreted, subject to various structural conditions. All of these examples, and many more besides, can be seen as tting into 5 a model theoretic framework based on a formulation of Kripke Beth Joyal semantics [19] in a general setting based on bred (or indexed) categories [25,6,15,16]. The basic idea is that a model, M = hStruct; i consists of structure, Struct, together with an interpretation, of the syntax of the logic in the structure. The structure is given by a functor, Struct : W; B op ; V] in which W is a (small) category of worlds, B is ....

Ishtiaq, S. and D. Pym, Corrections and Remarks, Research Report RR-00-04, Department of Computer Science, Queen Mary and Westeld College, University of London, September 2000, available at URL: http://www.dcs.qmw.ac.uk/pym

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