Search results for "Rewriting system"

showing 2 items of 2 documents

Incremental termination proofs and the length of derivations

1991

Incremental termination proofs, a concept similar to termination proofs by quasi-commuting orderings, are investigated. In particular, we show how an incremental termination proof for a term rewriting system T can be used to derive upper bounds on the length of derivations in T. A number of examples show that our results can be applied to yield (sharp) low-degree polynomial complexity bounds.

Discrete mathematicsCombinatoricsTermination proofPolynomial complexityRewriting systemWord problem (mathematics)Mathematical proofComputer Science::DatabasesMathematics
researchProduct

Splicing Systems from Past to Future: Old and New Challenges

2014

A splicing system is a formal model of a recombinant behaviour of sets of double stranded DNA molecules when acted on by restriction enzymes and ligase. In this survey we will concentrate on a specific behaviour of a type of splicing systems, introduced by P\u{a}un and subsequently developed by many researchers in both linear and circular case of splicing definition. In particular, we will present recent results on this topic and how they stimulate new challenging investigations.

FOS: Computer and information sciencesDiscrete Mathematics (cs.DM)[INFO.INFO-FL]Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]Formal Languages and Automata Theory (cs.FL)Splicing Systems Formal Languages.ACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.3: Formal LanguagesACM: F.: Theory of Computation/F.4: MATHEMATICAL LOGIC AND FORMAL LANGUAGES/F.4.2: Grammars and Other Rewriting SystemsComputer Science - Formal Languages and Automata TheorySplicing Systems Formal languages Regular languages DNA computingComputingMilieux_MISCELLANEOUS[INFO.INFO-FL] Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]Computer Science - Discrete Mathematics
researchProduct