The Power of Linear Functions
The linear lambda calculus is very weak in terms of expressive power: in particular, all functions terminate in linear time. In this paper we consider a simple extension with Booleans, natural numbers and a linear iterator. We show properties of this linear version of Gödel’s System \documentclass[1...
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| creator | Alves, Sandra Fernández, Maribel Florido, Mário Mackie, Ian |
| description | The linear lambda calculus is very weak in terms of expressive power: in particular, all functions terminate in linear time. In this paper we consider a simple extension with Booleans, natural numbers and a linear iterator. We show properties of this linear version of Gödel’s System \documentclass[12pt]{minimal}
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\begin{document}$\mathcal{T}$\end{document} and study the class of functions that can be represented. Surprisingly, this linear calculus is extremely expressive: it is as powerful as System \documentclass[12pt]{minimal}
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| doi_str_mv | 10.1007/11874683_8 |
| format | Conference Proceeding |
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| fulltext | fulltext |
| identifier | ISSN: 0302-9743 |
| ispartof | Computer Science Logic, 2006, p.119-134 |
| issn | 0302-9743 1611-3349 |
| language | eng |
| recordid | cdi_pascalfrancis_primary_19162562 |
| source | Springer Books |
| subjects | Applied sciences Closed Term Computer science control theory systems Contraction Rule Exact sciences and technology Iterative Type Lambda Calculus Linear Logic Logical, boolean and switching functions Theoretical computing |
| title | The Power of Linear Functions |
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