theorem proving and combinatorics

... be described in a proper format ~ and ~ are defined as Prolog operators and denote respectively derivability in the calculus and inference during theorem proving So, for instance with respect ... Principle (CAP) and the HFC, the F F P ensures t h a t agreement between the demanded antecedent and the reflexive pronoun is obtained Inclusion of a principle similar to FFP, and the use of category-valued ... antecedent, and T, the suceedent, are finite sequences of category specifications: P : K1 K,, and T : L In LTP P and T are required to be non-empty; notice that the suceedent contains one and only...

Ngày tải lên: 22/02/2014, 10:20

... hướng tiếp cận SPIN [5], SMV [6], NuSMV [7] Khác với kiểm chứng mô hình, chứng minh tự động (Theorem Proving) kiểm chứng hệ thống với mô hình vô hạn trạng thái; CafeOBJ [2] ngôn ngữ hỗ trợ đặc ... and L.Silva, Using CafeOBJ to implement a reduction strategy in the context of hardware/software partitioning., Electronic Notes in Theoretical Computer Science 95 (2004) [9] Kazuhiro Ogata and ... Distributed Systems (FMOODS 2003) Springer (2003) [10] P N Hung, T Aoki and T Katayama: ``Modular Conformance Testing and Assume-Guarantee Verification for Evolving Component-Based Software'',...

Ngày tải lên: 19/09/2013, 11:47

... called the antecedent, and T, the succedent, are finite sequences of signs The calculus is presented in (1) In what follows, X and ¥ are categories; T and Z, are signs; R, U and V are possibly e ... grammar and two separate algorithms for analysis and generation (Jacobs, 1985; Calder et el., 1989) However, apart from the desirability to make use of one and the same grammar for generation and ... Linden, E van der, and Minnen, G., (submitted) An account of Non-monotonous phenomena in bidirectional Lambek Theorem Proving Moortgat, M., 1988 Categorial Inueatigetions Logical and Hnguistic ¢apects...

Ngày tải lên: 24/03/2014, 02:20

... Workshop "Physics and Combinatorics, Nagoya 2000" appeared to be successful, and we hope both respective researchers and graduate students can find many interesting and useful facts and results in ... Using our earlier result and a recent result of Bridgeland, King and Reid,4 we prove vanishing theorems for tautological bundles on the Hilbert scheme We apply the vanishing theorems to establish ... Bridgeland-KingReid theorem applies in the case M = C2™, G = Sn Let us describe the relevant set-up and state their theorem In general, M is a non-singular complex projective variety and G is...

Ngày tải lên: 28/03/2014, 10:20

... Half of a Herbrand-like Theorem for Sentences in NNF, 360 7.6.5 Skolem-Herbrand-G¨del’s Theorem (Sentences in NNF), o 361 7.6.6 Comparison of Herbrand and Skolem-Herbrand-G¨del o Theorems, 365 ... constructive versions of Herbrand’s Theorem are proved, as well as Andrews’s version of the Skolem-Herbrand-G¨del Theorem o (Andrews 1981) The class of primitive recursive functions and the class of recursive ... previous Chapters Chapter is devoted to Gentzen’s “Sharpened Hauptsatz”, Herbrand’s Theorem, and the Skolem-Herbrand-G¨del Theorem As Chapter 6, this o Chapter contains more advanced material Gentzen’s...

Ngày tải lên: 29/03/2014, 09:20

... eigenvalues of φE which are if and only if L( f ) = 8 Duan’s fixed point theorem: proof and generalization Using this theorem, we now prove Theorem 3.1 Proof We fix l, ≤ l ≤ s, and write φ(zl ) as a linear ... out of the way, we state an obvious lemma and proceed with Duan’s theorem and its proof Martin Arkowitz Lemma 2.1 If A is an n × n matrix of rationals and B is a diagonal n × n matrix of rationals, ... = −uv, and so L( f ) = 6 Duan’s fixed point theorem: proof and generalization Theta spaces In this section we will use Theorem 3.1 to extend Duan’s theorem to spaces X which satisfy (3.2) In order...

Ngày tải lên: 22/06/2014, 22:20

... 58 the electronic journal of combinatorics 2001, #A1 28 [30] I Gessel and R Stanley, “Algebraic enumeration” in R L Graham, M Gr¨tschel, o and L Lovasz, Handbook of Combinatorics, Vol 2, Wiley, ... from G and the additional edges connecting A and B to G as described in (3.4) Observe that any permutation σ on {0, , n − 1} besides the identity would yield some j and l with σ(j) > j and σ(l) ... electronic journal of combinatorics 2001, #A1 rj j−m x um−1 (x) rm 24 Here rm and rj are different from and rm+1 = = rj−1 = 0, which means that in (5.7) δm+1 = = δj−1 = and δj = 1, such that...

Ngày tải lên: 07/08/2014, 06:22

... and B) xor (A xor true), A implies B = false A=true va B=false - Đầu tiên kiểm chứng cho trạng thái init inv1(init,i,j) = (( pc(init,i) = cs and pc(init,j) = cs) implies i=j) 24 = ( ( l1=cs and ... tiếp cận nhƣ SPIN [5], SMV [6], NuSMV [7] Khác với kiểm chứng mô hình, chứng minh tự động (Theorem Proving) kiểm chứng hệ thống với mô hình vô hạn trạng thái; CafeOBJ [2] ngôn ngữ hỗ trợ đặc ... -> Bool CafeOBJ variables var S : Sys vars I J : Pid define invariant candidates eq inv1(S,I,J) = (pc(S,I) = cs and pc(S,J) = cs implies I = J) eq inv2(S,I) = (pc(S,I) = cs implies top(queue(S))...

Ngày tải lên: 25/03/2015, 10:01

... Williams’ “standard machine” f IP and IP Z The intuition behind the formula f IP A = is that we want to have A Z T  dIP 8A F f IP ! = Z T; !IP !; f f but since IP !  = and I ! = ... T  is normal with mean zero and variance P mean T and variance T e T Under IP , B T  is normal with Means change, variances don’t When we use the Girsanov Theorem to change the probability ... proved Lemmas 1.53 and 1.54, we have not proved Girsanov’s Theorem We will not prove it completely, but here is the beginning of the proof Lemma 1.55 Using the notation of Girsanov’s Theorem, we have...

Ngày tải lên: 18/10/2013, 03:20

Ngày tải lên: 24/01/2014, 00:20

... Statements and are equivalent QED Discussion In this section, I discuss several aspects of Theorem A Equivalences Theorem establishes two kinds of equivalences The first is between private issue and ... economies and bond economies Consider a public-bond economy in which the equilibrium rate of return is constant at r > 0, and the value of outstanding public debt is constant at B pub Theorem ... out that the proof of Theorem establishes a stronger result than Theorem itself The statement of Theorem is that the equilibrium outcomes across the It is possible to extend Theorem to include model...

Ngày tải lên: 15/02/2014, 13:20

... [HT], [Hn3] (see Theorem 6.2) THE LOCAL CONVERSE THEOREM 747 Note that by Theorem 1.2, each local L-packet Π(ρ) has at most one generic member Theorem 1.4 establishes the Langlands conjecture ... gamma factors and related properties This leads us to reduce the proof of Theorem 1.2 to the case where both σ and σ are supercuspidal (Theorem 5.1) To prove the local converse theorem for the ... Sp2n (k) The main theorem of this section is: Theorem 2.2 Let σ and π be irreducible, supercuspidal representations of SO2n+1 (k) and Sp2n (k) respectively Assume that σ is generic and that π is...

Ngày tải lên: 22/03/2014, 15:21

... integral; see Theorem 6.5 below Theorem 1.1 follows from Theorem 6.1 as explained in the introduction The gap between the sufficient and the necessary conditions in Theorem 1.1 is 636 M RUDELSON AND R ... AND R VERSHYNIN theorem uniformly over all f ∈ F and over all underlying probability distribu1 tions µ, i.e whether the random variable √n n (f (Xi ) − f (X1 )) converges i=1 to a Gaussian random ... classes Talagrand proved Theorem 1.1 with an extra factor of logM (1/t) in the integrand and asked about the optimal value of the absolute constant exponent M [T 92], [T 03] Talagrand’s proof was...

Ngày tải lên: 22/03/2014, 20:20

... as V and K as K, we may and shall assume that W = Spec (K) and that C is a constant sheaf Let V1 be the projective and smooth completion of V , and Z := V1 \ V Extending scalars, we may and shall ... pointing out an error in the proof of Theorem 1.1 in the first version of the article, and the referee for forcing and helping us to restore the whole strength of Theorem 1.1 in the corrected version ... Q ) is injective, and G -equivariant [k :k] Thus Theorem 1.5 for Φ is Φ -equivariant for a lifting Φ ∈ G of F implies Theorem 1.5 for Φ By de Jong’s fundamental alteration theorem ([5, Th 6.5]),...

Ngày tải lên: 22/03/2014, 20:20

... y), (x + d, y) and (x, y + d) Then the three numbers x + 2y, x + d + 2y and x + 2(y + d) belong to A and form an arithmetic progression And now the programme for proving Szemer´di’s theorem in general ... as fairly sparse and very quasirandom), and try to obtain an upper bound for our expression in terms of fx,x ,y,y ,z,z and G Only later we use the fact that we can handle quasirandom graphs In ... by k − 1, J by K, and εk−j by θk−1−j It follows that H is (εk−1 , K, k − 1)-quasirandom, as claimed In the next theorem and its proof, we shall discuss two chains J and H, and borrow notation...

Ngày tải lên: 22/03/2014, 20:21

... that |x1 | < r and |x2 | > 1/r Then from Theorem 25 we get maps f and g which map onto two sides of a Jordan curve γ and so that f and g approximate F and G to within ε/C for |z| < r and |z| > 1/r ... Lemma 16 we are done CONFORMAL WELDING AND KOEBE’S THEOREM 637 Proof of Theorem Suppose {fn } and {gn } are the normalized circle pairs given by Theorem and replace them (if necessary) by a subsequence ... Wn 633 CONFORMAL WELDING AND KOEBE’S THEOREM Hn Gn Π Π gn H Figure 7: Lifting the maps H and gn Passing to the limit: proof of Theorem In this section we will prove Theorem The idea is to take...

Ngày tải lên: 22/03/2014, 20:21

... Viète’s Theorem3 : The complex numbers and are the roots of the equation if and only if and Indeed, if and are roots of the equation then Eq (3) is satisfied, from which and Conversely, if and then, ... two equations for and satisfy and By Viète’s theorem, for any such and (which may be complex) indeed exist, and they are the roots of the equation If we take such (still unknown) and then Eq (7) ... substituting and in the equation by their expressions in terms of and we obtain and therefore and are roots of the equation The quadratic trinomial is a perfect square, i.e., for some complex number if and...

Ngày tải lên: 31/03/2014, 14:57

Ngày tải lên: 31/03/2014, 16:22

Ngày tải lên: 31/03/2014, 16:22