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» Proofs as Polynomials
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TPHOL
2003
IEEE
14 years 19 days ago
Program Extraction from Large Proof Developments
Abstract. It is well known that mathematical proofs often contain (abstract) algorithms, but although these algorithms can be understood by a human, it still takes a lot of time an...
Luís Cruz-Filipe, Bas Spitters
CP
2004
Springer
14 years 23 days ago
Constraint Propagation as a Proof System
Abstract. Refutation proofs can be viewed as a special case of constraint propagation, which is a fundamental technique in solving constraint-satisfaction problems. The generalizat...
Albert Atserias, Phokion G. Kolaitis, Moshe Y. Var...
FOCS
1998
IEEE
13 years 11 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...
CSL
2006
Springer
13 years 11 months ago
Logical Omniscience Via Proof Complexity
The Hintikka-style modal logic approach to knowledge has a well-known defect of logical omniscience, i.e., an unrealistic feature that an agent knows all logical consequences of he...
Sergei N. Artëmov, Roman Kuznets
CSFW
2007
IEEE
14 years 1 months ago
Approximated Computationally Bounded Simulation Relations for Probabilistic Automata
We study simulation relations for Probabilistic Automata that require transitions to be matched up to negligible sets provided that computation lengths are polynomially bounded. T...
Roberto Segala, Andrea Turrini