Decomposition of Decidable First-Order Logics over Integers and Reals

Details Decomposition of Decidable First-Order Logics over Integers and Reals Decomposition of Decidable First-Order Logics over Integers and Reals

2008-12-10

arxiv.org/abs/0812.1967v1

Temporal Representation and Reasoning, 2008. TIME '08. 15th International Symposium on, Montreal, QC : Canada (2008)

Computer Science

Logic in Computer Science

Scientific paper

10.1109/TIME.2008.22

We tackle the issue of representing infinite sets of real- valued vectors. This paper introduces an operator for combining integer and real sets. Using this operator, we decompose three well-known logics extending Presburger with reals. Our decomposition splits a logic into two parts : one integer, and one decimal (i.e. on the interval [0,1]). We also give a basis for an implementation of our representation.

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