We discuss some claims that certain UCOMP devices can perform hypercomputation (compute Turing-uncomputable functions) or perform super-Turing computation (solve NP-complete problems in polynomial time). We discover that all these claims rely on the provision of one or more unphysical resources
It is now more than 15 years since Copeland and Proudfoot introduced the term hypercomputation. Alth...
Complexity theorists routinely compare—via the pre-ordering induced by asymptotic notation—the effic...
We show in this article that uncomputability is also a relative property of subrecursive classes bui...
Unconventional computers—which may, for example, exploit chemical/analogue/quantum phenomena in orde...
Due to common misconceptions about the Church-Turing thesis, it has been widely assumed that the Tur...
\u3cp\u3eThis paper investigates the view that digital hypercomputing is a good reason for rejection...
Physics sets certain limits on what is and is not computable. These limits are very far from having ...
Computer science is based on classical, discreet models of computation such as the Turing machine or...
This paper investigates the view that digital hypercomputing is a good reason for rejection or re-in...
The field of computational complexity theory--which chiefly aims to quantify the difficulty encounte...
The field of computational complexity theory--which chiefly aims to quantify the difficulty encounte...
Physics sets certain limits on what is and is not computable. These limits are very far from having ...
AbstractMany attempts to transcend the fundamental limitations to computability implied by the Halti...
Abstract. We describe a possible physical device that computes a function that cannot be computed by...
Complexity theorists routinely compare—via the pre-ordering induced by asymptotic notation—the effic...
It is now more than 15 years since Copeland and Proudfoot introduced the term hypercomputation. Alth...
Complexity theorists routinely compare—via the pre-ordering induced by asymptotic notation—the effic...
We show in this article that uncomputability is also a relative property of subrecursive classes bui...
Unconventional computers—which may, for example, exploit chemical/analogue/quantum phenomena in orde...
Due to common misconceptions about the Church-Turing thesis, it has been widely assumed that the Tur...
\u3cp\u3eThis paper investigates the view that digital hypercomputing is a good reason for rejection...
Physics sets certain limits on what is and is not computable. These limits are very far from having ...
Computer science is based on classical, discreet models of computation such as the Turing machine or...
This paper investigates the view that digital hypercomputing is a good reason for rejection or re-in...
The field of computational complexity theory--which chiefly aims to quantify the difficulty encounte...
The field of computational complexity theory--which chiefly aims to quantify the difficulty encounte...
Physics sets certain limits on what is and is not computable. These limits are very far from having ...
AbstractMany attempts to transcend the fundamental limitations to computability implied by the Halti...
Abstract. We describe a possible physical device that computes a function that cannot be computed by...
Complexity theorists routinely compare—via the pre-ordering induced by asymptotic notation—the effic...
It is now more than 15 years since Copeland and Proudfoot introduced the term hypercomputation. Alth...
Complexity theorists routinely compare—via the pre-ordering induced by asymptotic notation—the effic...
We show in this article that uncomputability is also a relative property of subrecursive classes bui...