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Abstract Trees are a natural representation for countable ordinals. In particular, finite trees provide a convenient notation for the predicative ones. Processes that transform trees or terms can often be proved terminating by viewing the tree or the tree representation of the term as an ordinal.
May 28, 2005 · Trees are a natural representation for countable ordinals. In particular, finite trees provide a convenient notation the predicative ones.
Finite trees provide a convenient notation the predicative ones and can often be proved terminating by viewing the tree or the tree representation of the ...
Trees are a natural representation for countable ordinals. In particular, finite trees provide a convenient notation the predicative ones.
Tarau P(2012)A declarative specification of tree-based symbolic arithmetic computationsProceedings of the 14th international conference on Practical Aspects ...
Dec 12, 2023 · Abstract:Ordinals can help prove termination for dependently typed programs. Brouwer trees are a particular ordinal notation that make it ...
In this work, we explore how this can be expressed and which statements can be proved internally in homotopy type theory. Brouwer ordinal trees. Of course, how ...
A terminating process · if the ordinal is a successor, subtract one (that is, replace it with its predecessor), · if it is a limit, replace it by some element of ...