Passage from at least m in n in propositional logic to a MILP formula
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Would anyone have the kindness to show me the steps which permit through the CNF form to transform "at least m proposals on n" are true in an inequality about binaries variables the same for "at most" and for "exactly". In all publications about that I find only the results and I fail to demonstrate the formula.
"at least m P_i on n" <=> p_1 + ....+ p_n >= m
where p_i is the boolean variable associate to the proposition P_i
propositional-calculus
asked Nov 24 at 8:30
cyrille.piatecki
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Would anyone have the kindness to show me the steps which permit through the CNF form to transform "at least m proposals on n" are true in an inequality about binaries variables the same for "at most" and for "exactly". In all publications about that I find only the results and I fail to demonstrate the formula.
"at least m P_i on n" <=> p_1 + ....+ p_n >= m
where p_i is the boolean variable associate to the proposition P_i
propositional-calculus
asked Nov 24 at 8:30
cyrille.piatecki
1112
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Would anyone have the kindness to show me the steps which permit through the CNF form to transform "at least m proposals on n" are true in an inequality about binaries variables the same for "at most" and for "exactly". In all publications about that I find only the results and I fail to demonstrate the formula.
"at least m P_i on n" <=> p_1 + ....+ p_n >= m
where p_i is the boolean variable associate to the proposition P_i
propositional-calculus
asked Nov 24 at 8:30
cyrille.piatecki
1112
Would anyone have the kindness to show me the steps which permit through the CNF form to transform "at least m proposals on n" are true in an inequality about binaries variables the same for "at most" and for "exactly". In all publications about that I find only the results and I fail to demonstrate the formula.
"at least m P_i on n" <=> p_1 + ....+ p_n >= m
where p_i is the boolean variable associate to the proposition P_i
propositional-calculus
propositional-calculus
asked Nov 24 at 8:30
cyrille.piatecki
1112
asked Nov 24 at 8:30
cyrille.piatecki
1112
asked Nov 24 at 8:30
cyrille.piatecki
1112
asked Nov 24 at 8:30
cyrille.piatecki
1112
asked Nov 24 at 8:30
cyrille.piatecki
1112
1112
add a comment |
add a comment |
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