Примери коришћења Proof theory на Енглеском и њихови преводи на Српски
{-}
-
Colloquial
-
Ecclesiastic
-
Computer
-
Latin
-
Cyrillic
These functions are also important in proof theory.
Ове функције су такође важне у теорији доказа.Modern proof theory treats proofs as inductively defined data structures.
Модерна теорија доказа третира Nevertheless, many results in number theory and in proof theory can be proved in PRA.
Ипак, многи резултати у The expected results are:(a) Representation of logical structures with applications:Coherence results for categories in proof theory.
Očekivani rezultati su:( a) Reprezentacije logičkih stuktura sa primenama:Koherencijski rezultati za kategorije u teoriji dokaza.One is a result from his doctoral thesis in proof theory, and the other one half of the Herbrand-Ribet theorem.
Једна је резултат његове докторске тезе на пољу теорије доказа, а друга је половина Ербран-Рибеове теореме.Purely formal proofs, written in symbolic language instead of natural language,are considered in proof theory.
Чисто формални His main work was on the foundations of mathematics, in proof theory, specifically natural deduction and the sequent calculus.
Главни Генценов рад је био из основа математике, у теорији доказа, посебно у природној дедукцији и рачуну секвената.The field of proof theory includes the study of second-order arithmetic and Peano arithmetic, as well as formal theories of the natural numbers weaker than Peano arithmetic.
Област теорије доказивања обухвата проучавање аритметике другог реда и Пеано аритметике, као и формалне теорије природних бројева слабијих од Пеано аритметике.He made major contributions to the foundations of mathematics, proof theory, especially on natural deduction and sequent calculus.
Главни Генценов рад је био из основа математике, у теорији доказа, посебно у природној дедукцији и рачуну секвената.Related Applied Mathematics- Information processing related mathematical problems where particular research activities include certain problems of the proof theory, topology and algebra.
Matematicki metodi za procesiranje informacija Istrazivacke aktivnosti ukljucuju odredjene probleme teorije dokaza, topologije i resavanja algebarskih jednacina nad koncnim poljima.He submitted his principal study of proof theory and general recursive functions"On the consistency of arithmetic" early in 1931.
Послао је своја основна проучавања на пољима теорије доказа и општих рекурзивних функција,„ О конзистентности аритметике“, почетком 1931. године.Mathematical logic is often divided into the subfields of set theory, model theory, recursion theory, proof theory, and constructive mathematics.
Математичка логика се често дели у следеће подобласти: Recursion theory overlaps with proof theory, effective descriptive set theory, model theory, and abstract algebra.
Рекурзија In classical model theory, work would be pursued on Vaught's Hypothesis, and in infinite combinatorics the compact spaces mentionedabove would be investigated. Originality of researchThe attempt to build within categorial proof theory a geometric categorial proof theory is original.
U okviru klasicne It is required that the Belgrade schools of categorial proof theory, model theory and set theory continue to exist and exert influence in the world.
Trazi se da beogradske skole kategorijske teorije dokaza, In proof theory and set theory, there is an interest in finitistic consistency proofs, that is, consistency proofs that themselves are finitistically acceptable.
У теорији доказа и The fundamental research of all of the subprojects will be in all of the basic areas of mathematical logic: proof theory, model theory, set theory, type theory and systems for formal reasoning.
Fundamentalna istraživanja na ovom i ostalim potprojektima će biti u svim osnovnim oblastima matematičke logike: teoriji dokaza, teoriji modela, Similarly, many of the syntactic results in proof theory can be proved in PRA, which implies that there are primitive recursive functions that carry out the corresponding syntactic transformations of proofs. .
Слично томе, многи од синтаксних резултата у теорији доказа може се доказати у ПРА, што подразумева да постоје примитивни рекурзивне функције које обављају одговарајуће синтаксичке трансформације This is comparable to what analytic geometry achieved in the seventeenth century, but in the opposite direction.State of the Art in Scientific FieldWorld-wide SituationCategorial proof theory is pursued nowadays by a group of algebraists and logicians in Northern America, especially in Montreal, in Quebec, and by a certain number of mathematicians in Scotland, Australia, France, Russia, Italy and Holland.
Time bi bio prevaljen u obrnutom smeru put koji je u sedamnaestom veku izgradjen u analitickoj geometriji.Stanje istraživanja u oblastiStanje istraživanja u svetuKategorijskom teorijom dokaza se trenutno bavi jedna grupa algebrista i logicara u Americi, najvise u Monrealu, u Kebeku, i jos izvestan broj matematicara u Skotskoj, Australiji, Francuskoj, Rusiji, Italiji i Holandiji.These procedures, which have up to now been developed in proof theory and in the lambda calculus in a syntactical manner, are important for computer science, because starting from them one can build methods for the verification of correctness of programs. Verification of programs is a major goal in the semantics of programming languages, since the correctness of many programs cannot be empirically tested.
Ove procedure, koje su do sada razvijane na sintaksnim principima u teoriji dokaza i lambda računu, su značajne u računarstvu jer mogu poslužiti za izgradnju metoda za verifikaciju korektnosti programa, što je jedan od glavnih ciljeva semantike programskih jezika pošto se za većinu programa korektnost ne može ustanoviti empirijski.They are inspired by what are philosophically the most interesting branches of logic and mathematics: proof theory, set theory, category theory etc. Course description: Important philosophical problems arising from logic and the foundations of mathematics and their consequences for philosophy.
Ови проблеми често воде неким од најважнијих питања филозофије језика и филозофије духа, а инспирисани су филозофски најзанимљивијим гранама логике и математике: теоријом доказа, These procedures, which have up to now been developed in proof theory and in the lambda calculus in a syntactical manner, are very important for computer science, because starting from them one can build methods for the verification of correctness of programs.
Te procedure, koje su do sada razvijane u teoriji dokaza i racunu lambda na sintaksicki nacin, su veoma vazne za racunarstvo, zato sto se na osnovu njih prave metode verifikacije korektnosti programa.One proof against the theory of evolution.
