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Remark: We consider only the next-free fragment of LTL.
CTL formula:
CtlFormula: |
AtomicProposition |
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| UnOp CtlFormula |
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| CtlFormula BinOp CtlFormula |
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| PathQuantifier TempOp CtlFormula (not for U)
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| PathQuantifier [ CtlFormula U CtlFormula ]
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| ( CtlFormula ) |
LTL formula:
LtlFormula: |
AtomicProposition |
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| UnOp LtlFormula |
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| LtlFormula BinOp LtlFormula |
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| TempOp LtlFormula (not for U) |
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| LtlFormula U LtlFormula |
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| ( LtlFormula ) |
Logical operators:
UnOp: |
!
(negation) |
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| -
(negation) |
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BinOp: |
&
(conjunction) |
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| *
(conjunction) |
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| |
(disjunction) |
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| +
(disjunction) |
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| =>
(implication) |
Temporal operators:
TempOp: |
G
(globally) |
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| F
(eventually) |
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| U
(until) |
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| X
(next) |
Path quantifiers (only CTL):
PathQuantifier: |
A
(On all paths ...) |
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| E
(There exists a path ...)
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Atomic propositions:
The atomic propositions are different for each input language.
See
APNN,
B(PN)^2,
CFA,
IF,
PEP,
SENIL.
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