arXiv Analytics

Sign in

arXiv:1504.05728 [math.LO]AbstractReferencesReviewsResources

Undecidable iterative propositional calculus

Grigoriy V. Bokov

Published 2015-04-22Version 1

In this paper, we consider iterative propositional calculi, which are finite sets of propositional formulas together with the rules of modus ponens and weak substitution (when formula being substituted must be already inferred). We construct an undecidable iterative propositional calculus using axioms in 3 variables. Particulary, we show that the general problem of derivability for these calculi is undecidable.

Related articles: Most relevant | Search more
arXiv:math/0404148 [math.LO] (Published 2004-04-07)
On topological properties of ultraproducts of finite sets
arXiv:1005.4924 [math.LO] (Published 2010-05-26)
On uniform definability of types over finite sets
arXiv:math/9607204 [math.LO] (Published 1996-07-05)
Making proofs without Modus Ponens: An introduction to the combinatorics and complexity of cut elimination