133 search results - page 1 / 27 » The basic intuitionistic logic of proofs |
JSYML
2007
14 years 10 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
14 years 10 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
15 years 4 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
15 years 4 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
14 years 10 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...