logic formulaの例文

• For instance, consider the first-order logic formula obtained as the constants:
• Different logic formulas that traditionally are equivalent in propositional logic do not necessarily have equal opinions.
• That first-order logic formula or sentence makes the meaning of the boxes and diamonds in modal logic explicit.
• Instead a temporal logic formula can talk about two unrelated parts of a system, which because they are unrelated tacitly evolve in parallel.
• The root of the MetateM concept is Gabbay's separation theorem; any arbitrary temporal logic formula can be rewritten in a antecedents are satisfied.
• Both model-finders essentially translate a model expressed in relational logic into a corresponding boolean logic formula, and then invoke an off-the-shelf SAT-solver on the boolean formula.
• Reasoning that it is this alternate vision of Mars to which their foe has fled with the girl, they determine to travel there themselves by means of the symbolic logic formulas originally devised by Chalmers.
• When the modal depth of a formula is " k ", then the first-order logic formula contains a'chain'of " k " transitions from the starting world x.
• Given a first-order logic formula T containing a predicate P, circumscribing this predicate amounts to selecting only the models of T in which P is assigned to true on a minimal set of tuples of values.
• This class of logic formulas is also sometimes referred as "'effectively propositional "'( EPR ) since it can be " effectively " translated into propositional logic formulas by a process of grounding or instantiation.
• This class of logic formulas is also sometimes referred as "'effectively propositional "'( EPR ) since it can be " effectively " translated into propositional logic formulas by a process of grounding or instantiation.
• Formally, the problem can be stated as follows : given a desired property, expressed as a temporal logic formula " p ", and a structure " M " with initial state " s ", decide if M, s \ models p.
• It turns out that because the formulas in the condition column of a c-table can be arbitrary propositional logic formulas, an algorithm for the problem whether a c-table represents some concrete relation has a co-NP-complete complexity, thus is of little practical worth.
• As for open formulas, dependence logic corresponds to the downwards monotone fragment of existential second-order logic, in the sense that a nonempty class of teams is definable by a dependence logic formula if and only if the corresponding class of relations is downwards monotone and definable by an existential second-order formula.
• Both the compactness theorem and the Craig's interpolation theorem also holds, but, due to the nature of negation in dependence logic, in a slightly modified formulation : if two dependence logic formulas \ phi and \ psi are " contradictory ", that is, it is never the case that both \ ! \ phi and \ ! \ psi hold in the same model, then there exists a " first order " sentence \ ! \ theta in the common language of the two sentences such that \ ! \ phi implies \ ! \ theta and \ ! \ theta is contradictory with \ ! \ psi.