1. Tuplix Calculus.
- Author
-
Bergstra, J. A., Ponse, A., and Van Der Zwaag, M. B.
- Subjects
CALCULUS ,MATRICES (Mathematics) ,VECTOR analysis ,PHYSICAL constants ,MATHEMATICAL analysis ,ABSTRACT algebra ,MATHEMATICAL models ,BUDGET ,FINANCIAL management - Abstract
We introduce a calculus for tuplices, which are expressions that generalize matrices and vectors. Tuplices have an underlying data type for quantities that are taken from a zero-totalized field. We start with the core tuplix calculus CTC for entries and tests, which are combined using conjunctive composition. We define a standard model and prove that CTC is relatively complete with respect to it. The core calculus is extended with operators for choice, information hiding, scalar multiplication, clearing and encapsulation. We provide two examples of applications; one on incremental financial budgeting, and one on modular financial budget design. [ABSTRACT FROM AUTHOR]
- Published
- 2008