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Description: |
Applicative Theories are the first order part of Feferman's systems of
Explicit Mathematics. They comprise type-free combinatory logic and
axiomatized natural numbers. In contrast to usual logic frameworks,
the underlying logic is partial, i.e., there is a special existence
predicate which can be used to express non-termination of
computations.
It has turned out that Applicative Theories provide a very elegant and
uniform framework for axiomatic systems which are useful in Proof
Theory, Complexity Theory and Computer Science. In our talk we will
give an introduction to Applicative Theories and their main features
and applications. Area(s):
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Date: |
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Start Time: |
14.30 |
Speaker: |
Reinhard Kahle
(Universidade de Coimbra)
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Place: |
5.5
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Research Groups: |
-Algebra, Logic and Topology
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See more:
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