133 search results - page 1 / 27 » The basic intuitionistic logic of proofs |
JSYML
2007
13 years 4 months ago
2007
The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete ...
CORR
2010
Springer
13 years 5 months ago
2010
Springer
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...
WOLLIC
2009
Springer
13 years 11 months ago
2009
Springer
We give a simple intuitionistic completeness proof of Kripke semantics with constant domain for intuitionistic logic with implication and universal quantification. We use a cut-fr...
CSL
2007
Springer
13 years 11 months ago
2007
Springer
A focused proof system provides a normal form to cut-free proofs that structures the application of invertible and non-invertible inference rules. The focused proof system of Andre...
JOLLI
2008
13 years 5 months ago
2008
In this paper, consistency is understood in the standard way, i.e. as the absence of a contradiction. The basic constructive logic BK c4 , which is adequate to this sense of consis...