theorem proving/ verified real number calculationstheorem proverproof assistantelementary functionsrational interval arithmeticinterval splitting... M Daumas,D Lester,C Muoz - 《IEEE Transactions on Computers》 被引量: 79发表: 2008年 Asymptotic behavior of the transition density for jump type processes in...
Randomized Xero Testing of Radical Expressions and Elementary Geometry Theorem ProvingWe develop a probabilistic test for the vanishing of radical expressions, that is, expressions involving the four rational operations (+,-,×,÷) and square root extraction. This extends the well-known Schwartz's ...
[15]weconsideronlythecasewhennandmarenon-negativeintegerpointsdeterminedby:n≥1isthemultiplicityoftherootx=a,otherwisen=0ifx=aisnottheroot;andm≥1isthemultiplicityoftherootx=b,otherwisem=0ifx=bisnottheroot.Inthiscase,ifforthefunctionf(x)atthepointx=athereisanapproximationofthefunctionbyTaylor...
·Z)orelsedisplayafactorofnoratleastaproofofitscompositeness.Inthesimplestcases,theconstructionsrestricttosimpleverifications.Fermat’s“smallTheorem”statingthatap−1≡1modpforrationalprimespandbasesanotdivisiblebyp,isthefirstingredientusedforfastverificationofprimalityofintegersn.Inthesimplestversionof...
As it turns out, TM-resolution reflects thetheorem provingside of LP: rules of Definition2can be used to semi-decide whether a given termtis entailed byP. In contrast, SLD-resolution reflects theproblem solvingaspect of LP: using the SLD-resolution rule, one asks whether, for a givent, ...
Randomized Zero Testing of Radical Expressions and Elementary Geometry Theorem ProvingWe develop a probabilistic test for the vanishing of radical expressions, that is, expressions involving the four rational operations (+,-,×,÷) and square root extraction. This extends the well-known Schwartz's ...
The formal result expressed in Theorem 1 for unlabelled graphs is a starting point on the enumeration of regular graphs because it allows for enumerating those unlabelled graphs that have some number of edges. In fact, the author of [36] proved that, if a graph with |𝐸|=𝐸(𝑛) edge...