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Abstract: ost with b. The two occurrences are variable independent. In a calculus with universal variables this is easily recognized, but there are cases where a variable is not universal, but still independent of many other occurrences of the same variable. Now, let us reverse the order of rule application such that the -inference is below the -inference. If the calculus introduces a new free variable with every -inference, then the derivations are variable-pure [13]. This is exemplified in (b), where... (Update)
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BibTeX entry: (Update)
@misc{ antonsen-uniform,
author = "Roger Antonsen",
title = "Uniform Variable Splitting",
url = "citeseer.ist.psu.edu/694259.html" }
Citations (may not include all citations):142 Automated Theorem Proving (context) - Bibel - 1987
97 Automated deduction in nonclassical logics (context) - Wallen - 1990
88 Basic Proof Theory (context) - Troelstra, Schwichtenberg - 2000
32 Proof search in the intuitionistic sequent calculus - Shankar - 1992
14 Incremental Closure of Free Variable Tableaux - Giese - 2083
8 volume 43 of Ergebnisse der Mathematik und ihrer Grenzgebiet.. (context) - Smullyan - 1968
8 Analytic and non-analytic proofs (context) - Pfenning - 1984
5 The even more liberalized -rule in free variable semantic t.. (context) - Beckert, Hahnle et al. - 1993
5 rule in free variable semantic tableaux (context) - Hahnle, Schmitt - 1994
3 Model elimination and connection tableau procedures (context) - Letz, Stenz - 2001
3 Matrix-based constructive theorem proving - Kreitz, Otten et al. - 2000
2 Connections in nonclassical logics (context) - Waaler - 2001
1 Free variable sequent calculi (context) - Antonsen - 2003
1 A free variable sequent calculus with uniform variable split.. (context) - Waaler, Antonsen - 2003
1 Incremental proof search in the splitting calculus (context) - Hansen - 2004
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