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APAL
2006
66views more  APAL 2006»
13 years 7 months ago
The Skolemization of existential quantifiers in intuitionistic logic
In this paper an alternative Skolemization method is introduced that for a large class of formulas is sound and complete with respect to intuitionistic logic. This class extends t...
Matthias Baaz, Rosalie Iemhoff
TABLEAUX
1995
Springer
13 years 11 months ago
A Connection Based Proof Method for Intuitionistic Logic
We present a proof method for intuitionistic logic based on Wallen’s matrix characterization. Our approach combines the connection calculus and the sequent calculus. The search t...
Jens Otten
CORR
2010
Springer
165views Education» more  CORR 2010»
13 years 7 months ago
Cut-Elimination and Proof Search for Bi-Intuitionistic Tense Logic
We consider an extension of bi-intuitionistic logic with the traditional modalities , , and from tense logic Kt. Proof theoretically, this extension is obtained simply by extendin...
Rajeev Goré, Linda Postniece, Alwen Tiu
FROCOS
2000
Springer
13 years 11 months ago
Structured Sequent Calculi for Combining Intuitionistic and Classical First-Order Logic
We define a sound and complete logic, called FO , which extends classical first-order predicate logic with intuitionistic implication. As expected, to allow the interpretation of i...
Paqui Lucio
FROCOS
2009
Springer
14 years 2 months ago
Automating Theories in Intuitionistic Logic
Deduction modulo consists in applying the inference rules of a deductive system modulo a rewrite system over terms and formulæ. This is equivalent to proving within a so-called co...
Guillaume Burel