This hand-out provides a proof (according to the one presented in [Pap94]) that the problem MAX2SAT is a NP-complete problem. To do attain such result we start by giving some previous account on satisfiability and motivating the problem of MAX2SAT . In the sequel we present the required...
In this paper we show that a small modification of the 2-dimensional Matchingand Assignment Problems in which for each $i \\leq n/2$ it is required thateither $\\pi(2i-1)=2i-1$ or $\\pi(2i)=2i$, is a NP-complete problem. The proof isby linear reduction from SAT (or NAE...
We investigate the 2-SAT problem in signed CNF formulas, as well as in two relevant subclasses known as regular and monosigned CNF formulas. First, we prove that the signed 2-SAT problem is NP-complete, contrary to what happens with the ... F Manyà - Multiple-Valued Logic 被引量: 81...
We also have B/4<ni<B/2 for each i, but shall not use this fact. Without loss of generality, the values ni are given in non-increasing order, since 3-Partition remains strongly NP-complete with the ni's sorted. The many-one reduction to Square constructs a string wS over the ...
–The subset sum problem is a good problem to use when proving NP- completeness for problems defined on sets of integers.–We will show that 3-SAT <P SUBSET-SUM.•So: We are given an arbitrary 3-SAT formula and we wish to derive a set S of integers and a target integer t.–Then...
Given a CNF-formula where each clause has width $w$ and the guarantee that there exists an assignment satisfying at least $g = \\lceil \\frac{w}{2}ceil -1$ literals in each clause, it is NP-hard to find a satisfying assignment to the formula (that sets at least one literal to ...
The main idea of our proof is similar to the strategies adopted by [18,19,39]. We embed the computation of a verifier of solutions for anNP-complete problem (in our case, a variant ofSat, which we callM-Sat) in an assembly, which is relatively straightforward in Winfree’s aTAM. One...
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Our main result is that coverability in 2-VASS with one unary counter is in NP. Coverability in binary encoded k-VASS is PSPACE-complete, for k ≥ 2. The lower bound limits the practicality of applications. Therefore, it is sensible to consider restricted variations and quantify their ...
I would like to extract the latest excel file based on the current month from the filepath.if based on the current month, if there is no file, the file...