For the language L = anbn+1 , (1)Give the CFG that generates L. (2)Construct a NPDA that accepts L. Draw the transition diagram.

Question

For the language L = n > 0,

(1)Give the CFG that generates L.
(2)Construct a NPDA that accepts L. Draw the transition
diagram.

Answer 1

The question asks for a CFG and NPDA for the language L = anbn+1 . The CFG is S -> aSb | ab. The NPDA involves pushing 'a's and popping 'a's for each 'b' read, ensuring one additional 'b' is there before accepting the input.

Step-by-step explanation:

The question involves designing a Context-Free Grammar (CFG) and constructing a Non-deterministic Pushdown Automaton (NPDA) for the language L = anbn+1 . The CFG that generates this language can be represented as follows:

• S → aSb | ab

For the NPDA, the transitions would be along the lines of:

• Pushing a's onto the stack for each 'a' read.
• For every 'b' read, popping an 'a' from the stack.
• The additional 'b' would be accounted for by transitioning to an accept state after the stack is empty.

A detailed NPDA construction requires knowledge of state diagrams and the operation of pushdown automata, which is beyond the scope of this short answer.