Hoare logic is a logic used as a way of specifying semantics of programming languages, which has been extended to be a separation logic to reason about mutable heap structure. In a model M of Hoare logic, each program...Hoare logic is a logic used as a way of specifying semantics of programming languages, which has been extended to be a separation logic to reason about mutable heap structure. In a model M of Hoare logic, each program α induces an M-computable function fα M on the universe of M; and the M-recursive functions are defined on M. It will be proved that the class of all the M-computable functions fα M induced by programs is equal to the class of all the M- recursive functions. Moreover, each M-recursive function is ∑ 1 NM -definable in M, where the universal quantifier is a num- ber quantifier ranging over the standard part of a nonstandard model M.展开更多
We construct a non-renormalizable gauge B-L model based on Q_(4)×Z_(4)×Z_(2) symmetry that successfully explains the cobimaximal lepton mixing scheme.Small active neutrino masses and both neutrino mass hiera...We construct a non-renormalizable gauge B-L model based on Q_(4)×Z_(4)×Z_(2) symmetry that successfully explains the cobimaximal lepton mixing scheme.Small active neutrino masses and both neutrino mass hierarchies are produced via the type-I seesaw mechanism at the tree-level.The model is predictive;hence,it reproduces the cobimaximal lepton mixing scheme,and the reactor neutrino mixing angle θ_(13) and the solar neutrino mixing angle θ_(12) can obtain best-fit values from recent experimental data.Our model also predicts the effective neut-rino mass parameters of mβ∈(8.80,9.05)meV and〈m_(ee)〉∈(3.65,3.95)meV for normal ordering(NO)and mβ ∈(49.16,49.2 l)meV and(mce)∈(48.59,48.67)meV for inverted ordering(IO),which are highly consistent with recent experimental constraints.展开更多
文摘Hoare logic is a logic used as a way of specifying semantics of programming languages, which has been extended to be a separation logic to reason about mutable heap structure. In a model M of Hoare logic, each program α induces an M-computable function fα M on the universe of M; and the M-recursive functions are defined on M. It will be proved that the class of all the M-computable functions fα M induced by programs is equal to the class of all the M- recursive functions. Moreover, each M-recursive function is ∑ 1 NM -definable in M, where the universal quantifier is a num- ber quantifier ranging over the standard part of a nonstandard model M.
文摘We construct a non-renormalizable gauge B-L model based on Q_(4)×Z_(4)×Z_(2) symmetry that successfully explains the cobimaximal lepton mixing scheme.Small active neutrino masses and both neutrino mass hierarchies are produced via the type-I seesaw mechanism at the tree-level.The model is predictive;hence,it reproduces the cobimaximal lepton mixing scheme,and the reactor neutrino mixing angle θ_(13) and the solar neutrino mixing angle θ_(12) can obtain best-fit values from recent experimental data.Our model also predicts the effective neut-rino mass parameters of mβ∈(8.80,9.05)meV and〈m_(ee)〉∈(3.65,3.95)meV for normal ordering(NO)and mβ ∈(49.16,49.2 l)meV and(mce)∈(48.59,48.67)meV for inverted ordering(IO),which are highly consistent with recent experimental constraints.
