On Linear Information Systems

Details On Linear Information Systems On Linear Information Systems

2010-03-29

arxiv.org/abs/1003.5518v1

EPTCS 22, 2010, pp. 38-48

Computer Science

Logic in Computer Science

Scientific paper

10.4204/EPTCS.22.4

Scott's information systems provide a categorically equivalent, intensional description of Scott domains and continuous functions. Following a well established pattern in denotational semantics, we define a linear version of information systems, providing a model of intuitionistic linear logic (a new-Seely category), with a "set-theoretic" interpretation of exponentials that recovers Scott continuous functions via the co-Kleisli construction. From a domain theoretic point of view, linear information systems are equivalent to prime algebraic Scott domains, which in turn generalize prime algebraic lattices, already known to provide a model of classical linear logic.

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