Quantcast What does conjunction of formulas mean? Text - Physics Forums Library

PDA

View Full Version : What does conjunction of formulas mean?


tgt
Sep18-08, 02:52 AM
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?

tiny-tim
Sep18-08, 07:49 AM
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?

CRGreathouse
Sep18-08, 09:00 AM
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)