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» The basic intuitionistic logic of proofs
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LPAR
2005
Springer
14 years 2 days ago
On Interpolation in Existence Logics
In [2] Gentzen calculi for intuitionistic logic extended with an existence predicate were introduced. Such logics were first introduced by Dana Scott, who provided a proof system ...
Matthias Baaz, Rosalie Iemhoff
LOPSTR
1995
Springer
13 years 10 months ago
Guiding Program Development Systems by a Connection Based Proof Strategy
We present an automated proof method for constructive logic based on Wallen’s matrix characterization for intuitionistic validity. The proof search strategy extends Bibel’s con...
Christoph Kreitz, Jens Otten, Stephan Schmitt
CADE
1997
Springer
13 years 10 months ago
Connection-Based Proof Construction in Linear Logic
We present a matrix characterization of logical validity in the multiplicative fragment of linear logic. On this basis we develop a matrix-based proof search procedure for this fra...
Christoph Kreitz, Heiko Mantel, Jens Otten, Stepha...
JSYML
2000
110views more  JSYML 2000»
13 years 6 months ago
Basic Logic: Reflection, Symmetry, Visibility
We introduce a sequent calculus B for a new logic, named basic logic. The aim of basic logic is to find a structure in the space of logics. Classical, intuitionistic, quantum and ...
Giovanni Sambin, Giulia Battilotti, Claudia Faggia...
IANDC
2010
91views more  IANDC 2010»
13 years 5 months ago
Functional interpretations of linear and intuitionistic logic
This article shows how different functional interpretations can be combined into what we term hybrid functional interpretations. These hybrid interpretations work on the setting o...
Paulo Oliva