Lambda-calculus, types and models
Lambda-calculus, types and models
Handbook of formal languages, vol. 3
P systems with active membranes: attacking NP-complete problems
Journal of Automata, Languages and Combinatorics
Membrane Computing: An Introduction
Membrane Computing: An Introduction
Theoretical Computer Science - Natural computing
Forbidding and enforcing in membrane computing
Natural Computing: an international journal
Tissue-like P Systems with Active Membranes for Picture Generation
Fundamenta Informaticae
λP systems and typed λ-calculus
WMC'04 Proceedings of the 5th international conference on Membrane Computing
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In this paper we introduce a membrane system (named λP systems) in which the computation is performed through certain operations on the tree structure of the membranes. The objects within the membranes play the role of catalysts for the operations. The result of the computation is the final configuration of the system. We show that λP systems can simulate pure λ-calculus and so they have universal computational power. We also show that NP-complete problems can be solved in polynomial time in this way by showing that 3SAT is solvable in linear time with linear input.