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A Non Context-Free Language

A Non Context-Free Language

A Non Context-Free Language. (We will prove it at the next class). Non Context-free languages. Context-free languages. Regular languages. Deterministic PDAs DPDAs. DPDAs. Allowed:. Not allowed:. Allowed:. Something must be matched from the stack. Not allowed:. DPDA example.

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Converting NPDAs to Context-Free Grammars

Converting NPDAs to Context-Free Grammars

Converting NPDAs to Context-Free Grammars. For any NPDA. we will construct a context-free grammar with. Intuition:. The grammar simulates the machine. A derivation in Grammar :. Current configuration in NPDA. A derivation in Grammar :. terminals. variables.

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DPDA Deterministic PDA

DPDA Deterministic PDA

DPDA Deterministic PDA. Deterministic PDA: DPDA. Allowed transitions:. (deterministic choices). Allowed transitions:. (deterministic choices). Not allowed:. (non deterministic choices). DPDA example. Definition:. A language is deterministic context-free

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DPDA Deterministic PDA

DPDA Deterministic PDA

DPDA Deterministic PDA. Deterministic PDA: DPDA. Allowed transitions:. (deterministic choices). Allowed transitions:. (deterministic choices). Not allowed:. (non deterministic choices). DPDA example. Definition:. A language is deterministic context-free

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DPDA Deterministic PDA

DPDA Deterministic PDA

DPDA Deterministic PDA. Deterministic PDA: DPDA. Allowed transitions:. (deterministic choices). Allowed transitions:. (deterministic choices). Not allowed:. (non deterministic choices). DPDA example. Definition:. A language is deterministic context-free

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DPDA Deterministic PDA

DPDA Deterministic PDA

DPDA Deterministic PDA. Deterministic PDA: DPDA. Allowed transitions:. (deterministic choices). Allowed transitions:. (deterministic choices). Not allowed:. (non deterministic choices). DPDA example. Definition:. A language is deterministic context-free

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Section 12.3 Context-Free Parsing

Section 12.3 Context-Free Parsing

Section 12.3 Context-Free Parsing We know (via a theorem) that the context-free languages are exactly those languages that are accepted by PDAs. When a context-free language can be recognized by a deterministic final-state PDA, it is called a deterministic context-free language .

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