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WOLLIC
2009
Springer
14 years 1 months ago
Forcing-Based Cut-Elimination for Gentzen-Style Intuitionistic Sequent Calculus
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...
Hugo Herbelin, Gyesik Lee
ICTAC
2005
Springer
14 years 6 days ago
An SLD-Resolution Calculus for Basic Serial Multimodal Logics
Abstract. We develop semantics for modal logic programs in basic serial multimodal logics, which are parameterized by an arbitrary combination of generalized versions of axioms T, ...
Linh Anh Nguyen
JAIR
2011
166views more  JAIR 2011»
13 years 1 months ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
AAAI
2008
13 years 9 months ago
Credulous Resolution for Answer Set Programming
The paper presents a calculus based on resolution for credulous reasoning in Answer Set Programming. The new approach allows a top-down and goal directed resolution, in the same s...
Piero A. Bonatti, Enrico Pontelli, Tran Cao Son
APAL
2007
78views more  APAL 2007»
13 years 6 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