What does conjunction of formulas mean?

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The conjunction of formulas M(a,b,c,d,e,f) means that it is true only when all individual formulas are true. This can be expressed syntactically as M(a,b,c,d,e,f) = (F_1) ∧ (F_2) ∧ (F_3) ∧ ... ∧ (F_k). Each formula F_i represents a condition involving the variables a, b, c, d, e, and f. Therefore, the conjunction combines these conditions into a single logical statement. Understanding conjunction is essential for evaluating the overall truth of multiple related formulas.
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Suppose we have a number of formulas involving variables a,b,c,d,e,f. What does it mean when the text says let M(a,b,c,d,e,f) be the conjunction of the formulas?
 
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tgt said:
Suppose we have a number of formulas involving variables a,b,c,d,e,f. What does it mean when the text says let M(a,b,c,d,e,f) be the conjunction of the formulas?

Hi tgt! :smile:

Can you give us the background context?
 
tgt said:
Suppose we have a number of formulas involving variables a,b,c,d,e,f. What does it mean when the text says let M(a,b,c,d,e,f) be the conjunction of the formulas?

That M(a,b,c,d,e,f) is true if and only if all of the formulas are true. Syntactically, you can take it as
M(a,b,c,d,e,f) = (F_1)\wedge(F_2)\wedge(F_3)\wedge\cdots\wedge(F_k)
 

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