Words and Languages Everywhere

algorithmic alphabet ambiguity appears approach aspects associated Assume basic belongs called Chomsky complete concept concerning condition considered constructions contains context-free contextual grammars continuous contradiction corresponding defined denote dependent derivation desires developed different elements equal equivalent example exists fact field finite first formal language function give given hand hence human idea important includes independent infinite word instance interesting introduced lead learning least length linguistics logical mapping Marcus Math mathematical maximal means multisets natural languages needs observe obtained occurrences operation P˘aun pair periodic positive possible present problem production programming proof proposed Proposition proved question random reading refers regular relation respect result rules selectors sequence similar simple situation starting step string structure symbols symmetric Theorem theory universal various