TY - JOUR
A2 - He, Lin
AU - Rogowski, Łukasz
AU - Sosík, Petr
PY - 2014
DA - 2014/07/03
TI - The Laws of Natural Deduction in Inference by DNA Computer
SP - 834237
VL - 2014
AB - We present a DNA-based implementation of reaction system with molecules encoding elements of the propositional logic, that is, propositions and formulas. The protocol can perform inference steps using, for example, modus ponens and modus tollens rules and de Morgan’s laws. The set of the implemented operations allows for inference of formulas using the laws of natural deduction. The system can also detect whether a certain proposition a can be deduced from the basic facts and given rules. The whole protocol is fully autonomous; that is, after introducing the initial set of molecules, no human assistance is needed. Only one restriction enzyme is used throughout the inference process. Unlike some other similar implementations, our improved design allows representing simultaneously a fact a and its negation ~a, including special reactions to detect the inconsistency, that is, a simultaneous occurrence of a fact and its negation. An analysis of correctness, completeness, and complexity is included.
SN - 2356-6140
UR - https://doi.org/10.1155/2014/834237
DO - 10.1155/2014/834237
JF - The Scientific World Journal
PB - Hindawi Publishing Corporation
KW -
ER -