This is a preview. Log in through your library . Abstract We prove the following surprising property of Heyting's intuitionistic propositional calculus, IpC. Consider the collection of formulas, φ, ...
This is a preview. Log in through your library . Abstract We prove that the problem of determining the minimum propositional proof length is NP- hard to approximate within a factor of 2 log 1 - o(1) n ...
This week we discuss the completeness theorem for the propositional calculus. Details can be found in this handout. You should also read Lemmon Chapter 4 during the next two weeks.