Problem Detail: I do not have any argument opposing why we need only a single universal class. However why not we have two universal classes, say an Object and an AntiObject Class. In nature and in science we find the concept Read More …
Author: ignougroup
[Solved]: Quantum Computing – Relationship between Hamiltonian and Unitary model
Problem Detail: When developing algorithms in quantum computing, I’ve noticed that there are two primary models in which this is done. Some algorithms – such as for the Hamiltonian NAND tree problem (Farhi, Goldstone, Guttman) – work by designing a Hamiltonian Read More …
[Solved]: Why should we study all the three forms of representation of finite automata?
Problem Detail: DFA, NFA and epsilon NFA all the three allow us to represent a particular regular language. With any of those representations we can arrive to the same regular expression, then why do we need to study all the three Read More …
[Solved]: Who are the legislators of Paxos?
Problem Detail: In the seminal distributed systems paper The Part Time Parliament (the Paxos protocol), Leslie Lamport names fictional legislators who are involved in the Paxon parliament protocol. According to this writing, he notes that: I gave the Greek legislators the Read More …
[Solved]: Showing that the set of TMs which visit the starting state twice on the empty input is undecidable
Problem Detail: I’m trying to prove that $L_1={langle Mrangle mid M text{ is a Turing machine and visits } q_0 text{ at least twice on } varepsilon} notin R$. I’m not sure whether to reduce the halting problem to it or Read More …
[Solved]: Partition partition with constraint of equal size
Problem Detail: I see the problem here which is the well know partition problem but with constraint that the size of both sets must be equal. I look at the answer and I don’t understand that why Colin said add max(S)⋅length(S), Read More …
[Solved]: What is wrong with this seeming contradiction with a paper about AND-compression of SAT?
Problem Detail: Got a simple construction seemingly contradicting a paper assuming plausible conjecture. Since it is unlikely the conjecture to be false, what is wrong with the argument? From a paper An AND-compression is a deterministic polynomial-time algorithm that maps a Read More …
[Solved]: Unification vs. SAT solver
Problem Detail: I read on Wikipedia that unification is a process of solving the satisfability problem. At the same time, I know that such solvers are called “SAT solvers” or “SMT solvers”. So, are they different names for the same thing? Read More …
[Solved]: Wheel subgraph problem
Problem Detail: In the following two threads I specified the question in the wrong way (easier to solve that way). Proving that finding wheel subgraphs is NP-complete Reducing from Hamiltonian Cycle problem to the Graph Wheel problem My sincere apologies.. I Read More …
[Solved]: Randomized Rounding of Solutions to Linear Programs
Problem Detail: Integer linear programming (ILP) is an incredibly powerful tool in combinatorial optimization. If we can formulate some problem as an instance of an ILP then solvers are guaranteed to find the global optimum. However, enforcing integral solutions has runtime Read More …
