We position Turing's result regarding the undecidability of the halting problem as a result about programs rather than machines. The mere requirement that a program of a certain kind must solve the halting problem for all programs of that kind leads to a contradiction in the case of a recent unsolvability result regarding the halting problem for programs. In this paper, we investigate this autosolvability requirement in a setting in which programs take the form of instruction sequences
The novel concept of a simulating halt decider enables halt decider H to to correctly determine the ...
In this master thesis the hierarchy of automata and related languages is presented. First, the conce...
Turing assemblers are Turing machines which operate on n-dimensional tapes under restrictions which ...
Instruction sequence is a key concept in practice, but it has as yet not come prominently into the p...
In [1], Turing has established the well-known result of the indecidability of the general halting pr...
This is an explanation of a key new insight into the halting problem provided in the language of sof...
AbstractIt has been shown in [J.D. Hamkins, A. Miasnikov, The halting problem is decidable on a set ...
When we understand that every potential halt decider must derive a formal mathematical proof from it...
After Turing proved the halting problem undecidable in 1936, many considered the dream of automatic ...
Abstract Either we leave the definition of the halting function incomplete, not saying its result wh...
The halting theorem counter-examples present infinitely nested simulation (non-halting) behavior to ...
[EN] The halting problem is a prominent example of undecidable problem and its formulation and undec...
AbstractA new criterion, namely, the number of colours used by the instructions of a Turing machine ...
The novel concept of a simulating halt decider enables C function H to correctly determine the halt ...
The halting theorem counter-examples present infinitely nested simulation (non-halting) behavior to ...
The novel concept of a simulating halt decider enables halt decider H to to correctly determine the ...
In this master thesis the hierarchy of automata and related languages is presented. First, the conce...
Turing assemblers are Turing machines which operate on n-dimensional tapes under restrictions which ...
Instruction sequence is a key concept in practice, but it has as yet not come prominently into the p...
In [1], Turing has established the well-known result of the indecidability of the general halting pr...
This is an explanation of a key new insight into the halting problem provided in the language of sof...
AbstractIt has been shown in [J.D. Hamkins, A. Miasnikov, The halting problem is decidable on a set ...
When we understand that every potential halt decider must derive a formal mathematical proof from it...
After Turing proved the halting problem undecidable in 1936, many considered the dream of automatic ...
Abstract Either we leave the definition of the halting function incomplete, not saying its result wh...
The halting theorem counter-examples present infinitely nested simulation (non-halting) behavior to ...
[EN] The halting problem is a prominent example of undecidable problem and its formulation and undec...
AbstractA new criterion, namely, the number of colours used by the instructions of a Turing machine ...
The novel concept of a simulating halt decider enables C function H to correctly determine the halt ...
The halting theorem counter-examples present infinitely nested simulation (non-halting) behavior to ...
The novel concept of a simulating halt decider enables halt decider H to to correctly determine the ...
In this master thesis the hierarchy of automata and related languages is presented. First, the conce...
Turing assemblers are Turing machines which operate on n-dimensional tapes under restrictions which ...