0
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0answers
21 views

Weighted partial MaxSAT (and MinSAT) with real-valued weights?

Consider the following optimization problem ($\min$-version also of interest): $$ \max_{β\in\{0,1\}^m}\{c'φ(β): ψ(β)=1\} = \max_{\phi\in\{0,1\}^n}\{c'\phi: β\in\{0,1\}^m, \phi=φ(β), ψ(β)=1\},$$ ...
0
votes
1answer
49 views

How to give an assignment of boolean values such that this expression is evaluated to true?

Given the expression $E$, is there an assignment of boolean values ($true$ or $false$) that we can give to our variables such that this is evaluated to $true$? $E = (¬x + z + ¬v) · (¬v + w) ·(¬z + ...
0
votes
0answers
20 views

How to solve statements which satisfies and statements which are valid? [duplicate]

I know i've posted this one time before, but I didn't get a lot of help so i'm trying again since i'm still stuck at this task. I need to decide whether the statements are true or false. F stands for ...
1
vote
1answer
58 views

How to find if a valuation satisfies a statement?

I'm working on a task which i'm a bit stuck at. I need to decide whether the statements are true or fale. F stands for the statement logical formulas, and also if the claim is true I need to give a ...
2
votes
1answer
588 views

In Satisfiability, what is the difference between the empty clause and the empty set?

The empty clause is a clause containing no literals and by definition is false. c = {} = F What then is the empty set, and why does it evaluate to true? Thanks!