spot  0.8.1
Typedefs | Functions
Miscellaneous algorithms for LTL formulae
Algorithms for LTL formulae

Typedefs

typedef std::set< atomic_prop
*, formula_ptr_less_than > 
spot::ltl::atomic_prop_set
 Set of atomic propositions.

Functions

atomic_prop_set * spot::ltl::atomic_prop_collect (const formula *f, atomic_prop_set *s=0)
 Return the set of atomic propositions occurring in a formula.
bool spot::ltl::is_GF (const formula *f)
 Whether a formula starts with GF.
bool spot::ltl::is_FG (const formula *f)
 Whether a formula starts with FG.
int spot::ltl::length (const formula *f)
 Compute the length of a formula.The length of a formula is the number of atomic properties, constants, and operators (logical and temporal) occurring in the formula. spot::ltl::multops count only for 1, even if they have more than two operands (e.g. a | b | c has length 4, because | is represented once internally).
bool spot::ltl::is_eventual (const formula *f)
 Check whether a formula is a pure eventuality.Pure eventuality formulae are defined in.
bool spot::ltl::is_universal (const formula *f)
 Check whether a formula is purely universal.Purely universal formulae are defined in.
bool spot::ltl::syntactic_implication (const formula *f1, const formula *f2)
 Syntactic implication.This comes from.
bool spot::ltl::syntactic_implication_neg (const formula *f1, const formula *f2, bool right)
 Syntactic implication.If right==false, true if !f1 < f2, false otherwise. If right==true, true if f1 < !f2, false otherwise.

Typedef Documentation

typedef std::set<atomic_prop*, formula_ptr_less_than> spot::ltl::atomic_prop_set

Set of atomic propositions.


Function Documentation

atomic_prop_set* spot::ltl::atomic_prop_collect ( const formula *  f,
atomic_prop_set *  s = 0 
)

Return the set of atomic propositions occurring in a formula.

Parameters:
fthe formula to inspect
san existing set to fill with atomic_propositions discovered, or 0 if the set should be allocated by the function.
Returns:
A pointer to the supplied set, s, augmented with atomic propositions occurring in f; or a newly allocated set containing all these atomic propositions if s is 0.
bool spot::ltl::is_eventual ( const formula *  f)

Check whether a formula is a pure eventuality.Pure eventuality formulae are defined in.

    /// @InProceedings{	  etessami.00.concur,
    /// author  	= {Kousha Etessami and Gerard J. Holzmann},
    /// title		= {Optimizing {B\"u}chi Automata},
    /// booktitle	= {Proceedings of the 11th International Conference on
    /// 		  Concurrency Theory (Concur'2000)},
    /// pages		= {153--167},
    /// year		= {2000},
    /// editor  	= {C. Palamidessi},
    /// volume  	= {1877},
    /// series  	= {Lecture Notes in Computer Science},
    /// publisher	= {Springer-Verlag}
    /// }
    /// 

A word that satisfies a pure eventuality can be prefixed by anything and still satisfies the formula.

bool spot::ltl::is_FG ( const formula *  f)

Whether a formula starts with FG.

bool spot::ltl::is_GF ( const formula *  f)

Whether a formula starts with GF.

bool spot::ltl::is_universal ( const formula *  f)

Check whether a formula is purely universal.Purely universal formulae are defined in.

    /// @InProceedings{	  etessami.00.concur,
    /// author  	= {Kousha Etessami and Gerard J. Holzmann},
    /// title		= {Optimizing {B\"u}chi Automata},
    /// booktitle	= {Proceedings of the 11th International Conference on
    /// 		  Concurrency Theory (Concur'2000)},
    /// pages		= {153--167},
    /// year		= {2000},
    /// editor  	= {C. Palamidessi},
    /// volume  	= {1877},
    /// series  	= {Lecture Notes in Computer Science},
    /// publisher	= {Springer-Verlag}
    /// }
    /// 

Any (non-empty) suffix of a word that satisfies if purely universal formula also satisfies the formula.

int spot::ltl::length ( const formula *  f)

Compute the length of a formula.The length of a formula is the number of atomic properties, constants, and operators (logical and temporal) occurring in the formula. spot::ltl::multops count only for 1, even if they have more than two operands (e.g. a | b | c has length 4, because | is represented once internally).

bool spot::ltl::syntactic_implication ( const formula *  f1,
const formula *  f2 
)

Syntactic implication.This comes from.

    /// @InProceedings{	  somenzi.00.cav,
    /// author  	= {Fabio Somenzi and Roderick Bloem},
    /// title		= {Efficient {B\"u}chi Automata for {LTL} Formulae},
    /// booktitle	= {Proceedings of the 12th International Conference on
    /// 		  Computer Aided Verification (CAV'00)},
    /// pages		= {247--263},
    /// year		= {2000},
    /// volume  	= {1855},
    /// series  	= {Lecture Notes in Computer Science},
    /// publisher	= {Springer-Verlag}
    /// }
    /// 
bool spot::ltl::syntactic_implication_neg ( const formula *  f1,
const formula *  f2,
bool  right 
)

Syntactic implication.If right==false, true if !f1 < f2, false otherwise. If right==true, true if f1 < !f2, false otherwise.

See also:
syntactic_implication

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