Talk:Sequent calculus

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(Dealing with quantifiers)
 
(Quantifiers: subformula of <math>\forall X A</math>)
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* Why a distinction between atomic formulas and propositional variables?
 
* Why a distinction between atomic formulas and propositional variables?
 
* Some mixing between <math>\forall x A</math> and <math>\forall X A</math>. I tried to propose a [[notations#formulas|convention]] on that point, but it does not match here with the use of <math>\alpha</math> for atoms.
 
* Some mixing between <math>\forall x A</math> and <math>\forall X A</math>. I tried to propose a [[notations#formulas|convention]] on that point, but it does not match here with the use of <math>\alpha</math> for atoms.
  +
* Define immediate subformula of <math>\forall X A</math> as <math>A</math>?
 
-- [[User:Olivier Laurent|Olivier Laurent]] 18:37, 14 January 2009 (UTC)
 
-- [[User:Olivier Laurent|Olivier Laurent]] 18:37, 14 January 2009 (UTC)

Revision as of 00:04, 15 January 2009

Quantifiers

The presentation does not seem to be completely uniform concerning quantifiers: are first-order quantifiers taken into account? It would be nice.

A few related points:

  • Why a distinction between atomic formulas and propositional variables?
  • Some mixing between \forall x A and \forall X A. I tried to propose a convention on that point, but it does not match here with the use of α for atoms.
  • Define immediate subformula of \forall X A as A?

-- Olivier Laurent 18:37, 14 January 2009 (UTC)

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