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» Proof Complexity of Non-classical Logics
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CSL
2005
Springer
14 years 28 days ago
Permutative Logic
Recent work establishes a direct link between the complexity of a linear logic proof in terms of the exchange rule and the topological complexity of its corresponding proof net, ex...
Jean-Marc Andreoli, Gabriele Pulcini, Paul Ruet
JACM
2002
122views more  JACM 2002»
13 years 7 months ago
Cosmological lower bound on the circuit complexity of a small problem in logic
An exponential lower bound on the circuit complexity of deciding the weak monadic second-order theory of one successor (WS1S) is proved. Circuits are built from binary operations, ...
Larry J. Stockmeyer, Albert R. Meyer
FM
2003
Springer
109views Formal Methods» more  FM 2003»
14 years 19 days ago
Certifying and Synthesizing Membership Equational Proofs
As the systems we have to specify and verify become larger and more complex, there is a mounting need to combine different tools and decision procedures to accomplish large proof ...
Grigore Rosu, Steven Eker, Patrick Lincoln, Jos&ea...
CSR
2008
Springer
13 years 9 months ago
A Semantic Proof of Polytime Soundness of Light Affine Logic
We define a denotational semantics for Light Affine Logic (LAL) which has the property that denotations of functions are polynomial time computable by construction of the model. Th...
Ugo Dal Lago, Martin Hofmann
CSL
2007
Springer
14 years 1 months ago
Proofs, Programs and Abstract Complexity
Programs and Abstract Complexity A. Beckmann University of Wales Swansea Swansea, UK Axiom systems are ubiquitous in mathematical logic, one famous and well studied example being ï...
Arnold Beckmann