The Foundations of Intuitionistic Mathematics: Especially in Relation to Recursive FunctionsNorth-Holland Publishing Company, 1965 - 206 strani |
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Zadetki 1–3 od 34
Stran 10
... term ' and ' functor ' inductively , as follows . The terms are to be the formal expressions in the role of nouns ... term . 3. For each i ( i = 0 , ... , þ ) , if t1 , ... , t . are terms , and u1 , u are functors , fi ( t1 , ... , t ...
... term ' and ' functor ' inductively , as follows . The terms are to be the formal expressions in the role of nouns ... term . 3. For each i ( i = 0 , ... , þ ) , if t1 , ... , t . are terms , and u1 , u are functors , fi ( t1 , ... , t ...
Stran 12
... term ( functor ) [ formula ] , then E ( t1 , tk , u1 , ... , u ) is a term ( functor ) [ formula ] . .... PROOF is by induction corresponding to the inductive definitions of ' term ' , ' functor ' and ' formula ' . 3.5 . A term u ( t ) ...
... term ( functor ) [ formula ] , then E ( t1 , tk , u1 , ... , u ) is a term ( functor ) [ formula ] . .... PROOF is by induction corresponding to the inductive definitions of ' term ' , ' functor ' and ' formula ' . 3.5 . A term u ( t ) ...
Stran 18
... terms or functors ( E ~ F if E , F are formulas ) . A term , functor or formula is ( lambda ) normal if it contains no part of the form { ^ xs } ( t ) where x is a variable , s is a term , and t is a term ( not necessarily free for x in ...
... terms or functors ( E ~ F if E , F are formulas ) . A term , functor or formula is ( lambda ) normal if it contains no part of the form { ^ xs } ( t ) where x is a variable , s is a term , and t is a term ( not necessarily free for x in ...
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The Foundations of Intuitionistic Mathematics: Especially in Relation to ... Stephen Cole Kleene,Richard Eugene Vesley Prikaz kratkega opisa - 1965 |
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2x+p a₁ abbreviate Amsterdam apply Assume for 3-elim Assume Seq(a Axiom Schema B₁ bar theorem Brouwer's principle choice sequences classical Clause consistency proof containing free continuum contradicting Corollary deduce elim equivalent finite follows function symbols function variables functor Gödel Hence Heyting inductive definition interpretation introd introduced intuitionism intuitionistic analysis intuitionistic formal system intuitionistic logic intuitionistic mathematics intuitionistic predicate calculus intuitionistic system Kleene Kreisel Lemma metamathematical natural numbers notation number-theoretic functions numeralwise express omitting one-place number-theoretic functions Ɔ A(a partial recursive function past secured Postulate Group preparatory to 3-elim prime formula primitive recursive function prior to 3-elim proof propositional prove quantifiers real numbers realization function realizes-Y recursive predicate reductio ad absurdum refute Remark result sequence numbers Similarly special recursive Spr(o ẞER SUBCASE 1.1 substitution term Thence unprovable V-elim V-introd Va[Seq(a vertex VxA(x αεσ αι