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LICS
2006
IEEE
14 years 4 months ago
Obsessional Cliques: A Semantic Characterization of Bounded Time Complexity
We give a semantic characterization of bounded complexity proofs. We introduce the notion of obsessional clique in the relational model of linear logic and show that restricting t...
Olivier Laurent, Lorenzo Tortora de Falco
AAAI
1990
13 years 11 months ago
Probabilistic Semantics for Cost Based Abduction
Cost-based abduction attempts to find the best explanation for a set of facts by finding a minimal cost proof for the facts. The costs are computed by summing the costs of the ass...
Eugene Charniak, Solomon Eyal Shimony
CSL
2007
Springer
14 years 4 months ago
Unbounded Proof-Length Speed-Up in Deduction Modulo
In 1973, Parikh proved a speed-up theorem conjectured by G¨odel 37 years before: there exist arithmetical formulæ that are provable in first order arithmetic, but whose shorter ...
Guillaume Burel
FOCS
1998
IEEE
14 years 1 months ago
Exponential Separations between Restricted Resolution and Cutting Planes Proof Systems
We prove an exponential lower bound for tree-like Cutting Planes refutations of a set of clauses which has polynomial size resolution refutations. This implies an exponential sepa...
Maria Luisa Bonet, Juan Luis Esteban, Nicola Gales...
COCO
1999
Springer
79views Algorithms» more  COCO 1999»
14 years 2 months ago
Non-Automatizability of Bounded-Depth Frege Proofs
In this paper, we show how to extend the argument due to Bonet, Pitassi and Raz to show that bounded-depth Frege proofs do not have feasible interpolation, assuming that factoring...
Maria Luisa Bonet, Carlos Domingo, Ricard Gavald&a...