The Euclid Abstract Machine: Trisection of the Angle and the Halting Problem. Conference paper. pp 195–206; Cite this conference paper. Download book PDF.

We built an abstract machine based on the historic concept of compass and ruler construction which reveals the existence of non-computable functions not related ...

An abstract machine based on the historic concept of compass and ruler construction is built which reveals the existence of non-computable functions not ...

Title: The euclid abstract machine: Trisection of the angle and the halting problem. Authors: Coelho, Francisco · Costa, José Félix

Oct 22, 2024 · In this paper we show how to explore the classical theory of computability using the tools of Analysis: A differential scheme is substituted for ...

Concrete non-computable functions always hide the halting problem as far as we know. Even the construction of a function that grows faster than any recursive ...

Jun 26, 2023 · Jerzy Mycka, Francisco Coelho , José Félix Costa: The Euclid Abstract Machine: Trisection of the Angle and the Halting Problem.

The objective of this paper is to provide a provable solution of the ancient Greek problem of trisecting an arbitrary angle employing only compass and ...

The duplication and trisection problems are closely related: (a) they can both be solved by using conic sections (known to the Greeks), (b) when ex- pressed ...

The Euclid Abstract Machine: Trisection of the Angle and the Halting Problem ; Document Type. Article ; Year published. 2006 ; Published. in UNCONVENTIONAL ...