## Which airlines accept Virtual Accounts (VAN) for payment?

Do you know which airlines accept Virtual Accounts (VAN) as form of payment, either by a corporate customer or a travel agent.

## propositional calculus – Understanding \$PROP\$ set in the book Logic and Structure (Van Dalen).

Working on the book: Dirk van Dalen. “Logic and Structure (Universitext)” (p. 18)

Definition 1.1.2 The set PROP of propositions is the smallest set X with the properties

$$begin{array}{rl} rm(i)&p_iin X(iin N),botin X,\ rm(ii)&varphi,psiin XRightarrow(varphiwedgepsi),(varphiveepsi),(varphitopsi),(varphileftrightarrowpsi)in X,\ rm(iii)&varphiin XRightarrow(negvarphi)in X.\ end{array}$$

I would like to know:

$$p_iin X(iin N),botin X$$

• How can I instantiate this statement when verifiyng a string of symbols belongs to PROP ?
• Is the comma an and connective ?
• What is $$N$$?
• Why is bottom symbol there ?

$$((p land q) to p)$$

• How can I show this statement belongs to PROP ?

P.S.: I am already aware of similar questions but they do not address my questions, I think.

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