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...
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...
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...
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...
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...