 Unique leftmost derivation  Unique rightmost derivation num  Unique leftmost derivation  Unique rightmost derivation.

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 Unique leftmost derivation  Unique rightmost derivation num  Unique leftmost derivation  Unique rightmost derivation.
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Presentation transcript:

 Unique leftmost derivation  Unique rightmost derivation num  Unique leftmost derivation  Unique rightmost derivation

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } FOLLOW E { $, ) } E’ { $, ) } T { +, $, ) } T’ { +, $, ) } F { *, +, $, ) }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } F  ( E ) | id FIRST(F) = { (, id } T’  * F T’ | ε FIRST(T’) = { *, ε } E’  + T E’ | ε FIRST(E’) = { +, ε } T  F T’ FIRST(T) = FIRST(F) = { (, id } E  T E’ FIRST(E) = FIRST(T) = { (, id }

FOLLOW(E) E is the start symbol $ ε FOLLOW(E) F  ( E ) ) ε FOLLOW(E) FOLLOW(E) = { $, ) } Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FOLLOW(E’) E  T E’ & E’  + T E’ ………E….…  ………TE’…….. - FOLLOW(E) is contained in FOLLOW(E’) - { $, ) } is contained in FOLLOW(E’) FOLLOW(E’) = { $, ) }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } FOLLOW(T) E  T E’ & E’  + T E’ FIRST(E’) – { ε } is contained in FOLLOW(T)  { + } is contained in FOLLOW(T) ε belongs to FIRST(E’)  FOLLOW(E) is contained in FOLLOW(T)  { $, ) } is contained in FOLLOW(T) FOLLOW(T) = { +, $, ) }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } FOLLOW(T’) T  F T’ & T’  * F T’ FOLLOW(T) is contained in FOLLOW(T’)  { +, $, ) } is contained in FOLLOW(T’) FOLLOW(T’) = { +, $, ) }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } FOLLOW(F) T  F T’ & T’  * F T’ FIRST(T’) – { ε } is contained in FOLLOW(F)  { * } is contained in FOLLOW(F) ε belongs to FIRST(T’)  FOLLOW(T) is contained in FOLLOW(F)  { +, $, ) } is contained in FOLLOW(F) FOLLOW(F) = { *, +, $, ) }

Example: E  T E’ E’  + T E’ | ε T  F T’ T’  Example: E  T E’ E’  + T E’ | ε T  F T’ T’  * F T’ | ε F  ( E ) | id FIRST E { (, id } E’ { +, ε } T { (, id } T’ { *, ε } F { (, id } FOLLOW E { $, ) } E’ { $, ) } T { +, $, ) } T’ { +, $, ) } F { *, +, $, ) }

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