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» A Formalization of Polytime Functions
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CSR
2008
Springer
13 years 6 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
RTA
2010
Springer
13 years 8 months ago
Closing the Gap Between Runtime Complexity and Polytime Computability
In earlier work, we have shown that for confluent term rewrite systems (TRSs for short), innermost polynomial runtime complexity induces polytime computability of the functions de...
Martin Avanzini, Georg Moser
SAT
2009
Springer
153views Hardware» more  SAT 2009»
13 years 11 months ago
Does Advice Help to Prove Propositional Tautologies?
One of the starting points of propositional proof complexity is the seminal paper by Cook and Reckhow [6], where they defined propositional proof systems as poly-time computable f...
Olaf Beyersdorff, Sebastian Müller
FSTTCS
2005
Springer
13 years 10 months ago
Quantitative Models and Implicit Complexity
We give new proofs of soundness (all representable functions on base types lies in certain complexity classes) for Light Affine Logic, Elementary Affine Logic, LFPL and Soft Af...
Ugo Dal Lago, Martin Hofmann
RTA
2009
Springer
13 years 11 months ago
Dependency Pairs and Polynomial Path Orders
Abstract. We show how polynomial path orders can be employed efficiently in conjunction with weak innermost dependency pairs to automatically certify the polynomial runtime comple...
Martin Avanzini, Georg Moser