A structured decomposition theorem for Turing machines is given. The nature of the building blocks and the form of the connections allowed suggest a parallel to the Bohm-Jacopini theorem on structured flowcharts. Thus in a broadest sense, there is obtained an independent machine-theoretic restatement of the fundamental precepts of structured programming. At the same time, the characteristics of the decomposition offer several obvious advantages over known results of this type. In particular, the building blocks (the “simple” machines) are seen to perform total and regular word functions. Furthermore, the connections themselves should prove to be useful as pedagogical tools in the Turing machine theory and as a theoretical framework for top-...
The control units of large digital systems can use up to 80% of the entire hardware implementing the...
Turing machines have been well studided in the context of Computability theory, looking at computati...
We introduce a new type of generalized Turing machines (GTMs), which areintended as a tool for the m...
A structured decomposition theorem for Turing machines is given. The nature of the building blocks a...
In an effort to eliminate some inconveniences connected with Dijkstra's method of Structured Program...
The concept of a computable function is quite a well-studied one, however, it is possible to capture...
AbstractThe principal ideas of a universal computer are gradually introduced into a functional model...
AbstractGraph theory is used to model program control structures rigorously as flowgraphs. Formal me...
Indexed monoidal algebras are introduced as an equivalent structure for self-dual compact closed cat...
Despite having advanced a reaction-diffusion model of ODE’s in his 1952 paper on morphogenesis, refl...
Based on an empirical study of more than 10,000 lines of program text written in a GOTO-less languag...
AbstractWe give an introduction to Turing categories, which are a convenient setting for the categor...
We employ an algebraic method for comparing the structural simplicity of families of abstract machin...
AbstractWe present Persistent Turing Machines (PTMs), a new way of interpreting Turing-machine compu...
The structure of the Turing degrees was introduced by Kleene and Post in 1954 [KP54]. Since then, it...
The control units of large digital systems can use up to 80% of the entire hardware implementing the...
Turing machines have been well studided in the context of Computability theory, looking at computati...
We introduce a new type of generalized Turing machines (GTMs), which areintended as a tool for the m...
A structured decomposition theorem for Turing machines is given. The nature of the building blocks a...
In an effort to eliminate some inconveniences connected with Dijkstra's method of Structured Program...
The concept of a computable function is quite a well-studied one, however, it is possible to capture...
AbstractThe principal ideas of a universal computer are gradually introduced into a functional model...
AbstractGraph theory is used to model program control structures rigorously as flowgraphs. Formal me...
Indexed monoidal algebras are introduced as an equivalent structure for self-dual compact closed cat...
Despite having advanced a reaction-diffusion model of ODE’s in his 1952 paper on morphogenesis, refl...
Based on an empirical study of more than 10,000 lines of program text written in a GOTO-less languag...
AbstractWe give an introduction to Turing categories, which are a convenient setting for the categor...
We employ an algebraic method for comparing the structural simplicity of families of abstract machin...
AbstractWe present Persistent Turing Machines (PTMs), a new way of interpreting Turing-machine compu...
The structure of the Turing degrees was introduced by Kleene and Post in 1954 [KP54]. Since then, it...
The control units of large digital systems can use up to 80% of the entire hardware implementing the...
Turing machines have been well studided in the context of Computability theory, looking at computati...
We introduce a new type of generalized Turing machines (GTMs), which areintended as a tool for the m...