BIRTHDAY
2007
Springer
14 years 5 months ago
2007
Springer
Superdeduction is a systematic way to extend a deduction system like the sequent calculus by new deduction rules computed from the user theory. We show how this could be done in a ...
LICS
2007
IEEE
14 years 5 months ago
2007
IEEE
In predicate logic, the proof that a theorem P holds in a theory Th is typically conducted in natural deduction or in the sequent calculus using all the information contained in t...
TLCA
2009
Springer
14 years 6 months ago
2009
Springer
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
LPNMR
2009
Springer
14 years 6 months ago
2009
Springer
Abstract. The logic FO(ID) uses ideas from the field of logic programming to extend first order logic with non-monotone inductive definitions. The goal of this paper is to exten...
WOLLIC
2009
Springer
14 years 6 months ago
2009
Springer
Bi-intuitionistic logic is the extension of intuitionistic logic with exclusion, a connective dual to implication. Cut-elimination in biintuitionistic logic is complicated due to t...
CADE
2006
Springer
14 years 11 months ago
2006
Springer
Abstract. We investigate cut-elimination and cut-simulation in impredicative (higher-order) logics. We illustrate that adding simple axioms such as Leibniz equations to a calculus ...