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» On Computing Backbones of Propositional Theories
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TLCA
2009
Springer
13 years 11 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
CSL
2001
Springer
13 years 9 months ago
Markov's Principle for Propositional Type Theory
Abstract. In this paper we show how to extend a constructive type theory with a principle that captures the spirit of Markov’s principle from constructive recursive mathematics. ...
Alexei Kopylov, Aleksey Nogin
COMBINATORICS
2004
102views more  COMBINATORICS 2004»
13 years 4 months ago
Satisfiability and Computing van der Waerden Numbers
In this paper we bring together the areas of combinatorics and propositional satisfiability. Many combinatorial theorems establish, often constructively, the existence of positive...
Michael R. Dransfield, Lengning Liu, Victor W. Mar...
ECAI
2006
Springer
13 years 8 months ago
Reasoning with Inconsistencies in Propositional Peer-to-Peer Inference Systems
In a peer-to-peer inference system, there is no centralized control or hierarchical organization: each peer is equivalent in functionality and cooperates with other peers in order...
Philippe Chatalic, Gia Hien Nguyen, Marie-Christin...
TLCA
2005
Springer
13 years 10 months ago
Naming Proofs in Classical Propositional Logic
Abstract. We present a theory of proof denotations in classical propologic. The abstract definition is in terms of a semiring of weights, and two concrete instances are explored. ...
François Lamarche, Lutz Straßburger