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» On the Proof Theory of the Existence Predicate
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LPAR
2010
Springer
13 years 6 months ago
How to Universally Close the Existential Rule
This paper introduces a nested sequent system for predicate logic. The system features a structural universal quantifier and a universally closed existential rule. One nice conseq...
Kai Brünnler
LICS
2007
IEEE
14 years 1 months ago
Principles of Superdeduction
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...
Paul Brauner, Clément Houtmann, Claude Kirc...
APAL
2010
141views more  APAL 2010»
13 years 7 months ago
Locatedness and overt sublocales
Locatedness is one of the fundamental notions in constructive mathematics. The existence of a positivity predicate on a locale, i.e. the locale being overt, or open, has proved to ...
Bas Spitters
CADE
2009
Springer
14 years 8 months ago
Ground Interpolation for Combined Theories
Abstract. We give a method for modular generation of ground interpolants in modern SMT solvers supporting multiple theories. Our method uses a novel algorithm to modify the proof t...
Amit Goel, Sava Krstic, Cesare Tinelli
APAL
2007
78views more  APAL 2007»
13 years 7 months ago
Partial Horn logic and cartesian categories
A logic is developed in which function symbols are allowed to represent partial functions. It has the usual rules of logic (in the form of a sequent calculus) except that the subs...
Erik Palmgren, Steven J. Vickers