Traditional physics assumes that space and time are continuous. However, this reasonable model leads to some serious problems. One the approaches that physicists follow to solve these problems is to assume that the space-time is actually discrete. In this paper, we analyze possible computational consequences of this discreteness. It turns out that in a discrete space-time, we may be able to solve NP-hard problems in polynomial time
AbstractLog space reducibility allows a meaningful study of complexity and completeness for the clas...
We discuss open questions around worst case time and space bounds for NP-hard problems. We are inter...
AbstractWe give the first nontrivial model-independent time–space tradeoffs for satisfiability. Name...
For some problems, we know feasible algorithms for solving them. Other computational problems (such ...
Can NP-complete problems be solved efficiently in the physical universe? I survey proposals includin...
Recent developments in the theory of computational complexity as applied to combinatorial problems h...
Recent developments in the theory of computational complexity as applied to combinatorial problems h...
We analyze the possible implications of the discreteness of spacetime, which is defined here as the ...
Best Paper AwardInternational audienceWe prove that functions over the reals computable in polynomia...
Estimating the computational complexity of discrete problems constitutes one of the central and clas...
A discrete temporal constraint satisfaction problem is a constraint satisfaction problem (CSP) over ...
AbstractWe show that discretization of spacetime naturally suggests discretization of Hilbert space ...
In the existing literature on infinite time Turing machines, which were originally defined in [HaLe]...
This dissertation presents several results in fine-grained complexity. Fine-grained complexity aims ...
While closed timelike curves (CTCs) are not known to exist, studying their consequences has led to n...
AbstractLog space reducibility allows a meaningful study of complexity and completeness for the clas...
We discuss open questions around worst case time and space bounds for NP-hard problems. We are inter...
AbstractWe give the first nontrivial model-independent time–space tradeoffs for satisfiability. Name...
For some problems, we know feasible algorithms for solving them. Other computational problems (such ...
Can NP-complete problems be solved efficiently in the physical universe? I survey proposals includin...
Recent developments in the theory of computational complexity as applied to combinatorial problems h...
Recent developments in the theory of computational complexity as applied to combinatorial problems h...
We analyze the possible implications of the discreteness of spacetime, which is defined here as the ...
Best Paper AwardInternational audienceWe prove that functions over the reals computable in polynomia...
Estimating the computational complexity of discrete problems constitutes one of the central and clas...
A discrete temporal constraint satisfaction problem is a constraint satisfaction problem (CSP) over ...
AbstractWe show that discretization of spacetime naturally suggests discretization of Hilbert space ...
In the existing literature on infinite time Turing machines, which were originally defined in [HaLe]...
This dissertation presents several results in fine-grained complexity. Fine-grained complexity aims ...
While closed timelike curves (CTCs) are not known to exist, studying their consequences has led to n...
AbstractLog space reducibility allows a meaningful study of complexity and completeness for the clas...
We discuss open questions around worst case time and space bounds for NP-hard problems. We are inter...
AbstractWe give the first nontrivial model-independent time–space tradeoffs for satisfiability. Name...