The proof system, based on resolution method, has become quite popular in automatic theorem proving, because this method is simple to implement. At present many kinds of extensions for resolution method are known： Re...The proof system, based on resolution method, has become quite popular in automatic theorem proving, because this method is simple to implement. At present many kinds of extensions for resolution method are known： Resolution with restricted number of variables in disjuncts, resolution over Linear Equations, Cutting planes, etc. For Classical, Intuitionistic and Minimal （Johansson＇s） propositional logics, the authors introduce the family of resolution systems with full substitution rule （SRC, SRI and SRM） and with e-restricted substitution rule （SeRC, SeRf and SeRM）, where the number of substituted formula connectives is bounded by . The authors show that for each of mentioned logic the SR-type system （in tree form） is polynomially equivalent to Frege systems by size, but for every ~＇ 〉 0, Se＋lR-type has exponential speed-up over the SeR-type （in tree form）.展开更多
Both HIV and COVID-19 infections show that the centuries-old scientifically established epidemiological rules are still valid today, but they have to be applied in time and in a correct manner. Furthermore, when incom...Both HIV and COVID-19 infections show that the centuries-old scientifically established epidemiological rules are still valid today, but they have to be applied in time and in a correct manner. Furthermore, when incompetent funded “rights defenders” or political organizations referring to human rights have spread lies and have spoken against the experts-created epidemiological rules as well as the acceptance of vaccination, they have not only cheated everybody but they could also be accused by the crime of endangering of great mass of people which action can cause occasionally death also! It has to be also stated that the interests and rights of the total population are always over that of a single person and also realized that all pathogens live their own life among us according to their determinacy independently from our rights and interests!展开更多
文摘The proof system, based on resolution method, has become quite popular in automatic theorem proving, because this method is simple to implement. At present many kinds of extensions for resolution method are known： Resolution with restricted number of variables in disjuncts, resolution over Linear Equations, Cutting planes, etc. For Classical, Intuitionistic and Minimal （Johansson＇s） propositional logics, the authors introduce the family of resolution systems with full substitution rule （SRC, SRI and SRM） and with e-restricted substitution rule （SeRC, SeRf and SeRM）, where the number of substituted formula connectives is bounded by . The authors show that for each of mentioned logic the SR-type system （in tree form） is polynomially equivalent to Frege systems by size, but for every ~＇ 〉 0, Se＋lR-type has exponential speed-up over the SeR-type （in tree form）.
文摘Both HIV and COVID-19 infections show that the centuries-old scientifically established epidemiological rules are still valid today, but they have to be applied in time and in a correct manner. Furthermore, when incompetent funded “rights defenders” or political organizations referring to human rights have spread lies and have spoken against the experts-created epidemiological rules as well as the acceptance of vaccination, they have not only cheated everybody but they could also be accused by the crime of endangering of great mass of people which action can cause occasionally death also! It has to be also stated that the interests and rights of the total population are always over that of a single person and also realized that all pathogens live their own life among us according to their determinacy independently from our rights and interests!
