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A New Proof of a Classical Theorem in Design Theory

G.B. Khosrovshahi, B. Tayfeh-Rezaie
2001 Journal of combinatorial theory. Series A  
We present a new proof of the well known theorem on the existence of signed (integral) t-designs due to Wilson and Graver and Jurkat.  ...  When applied to a constant vector a, it results in Theorem 1. Later, Wilson published a nicer proof of his result in [9] .  ...  By utilizing this basis, a flexible algorithm for generating signed designs based on the proof of Graver and Jurkat has been presented in [4] .  ... 
doi:10.1006/jcta.2000.3116 fatcat:tj6idggllbeqhn2ukq67uz452y


2000 Theoretical Computer Science  
There is a long history of work in proof-search in a variety of systems of logic, including classical, intuitionistic, relevant, linear and modal systems, at the propositional, ÿrst-and higher-order levels  ...  Recently, there has been a great deal of work on proof-search in type-theoretic lan-0304-3975/00/$ -see front matter c 2000 Elsevier Science B.V. All rights reserved.  ...  The design of programming languages and theorem provers based on linear logic opens new implementation challenges not present in more traditional languages.  ... 
doi:10.1016/s0304-3975(99)00168-1 fatcat:pw6ussamo5dobmb6ebviodz7gu

Design theory

1989 Discrete Mathematics  
differences Some more special block designs Proof of Wilson's Theorem 6.6 VIU.  ...  An Algebra of Statements Theorems and Direct Proofs Indirect Proofs The Natural Numbers Mathematical Induction 2.  ... 
doi:10.1016/0012-365x(89)90278-1 fatcat:7q2q7kduingu7omzvsv6jgzv2a

Page 5422 of Mathematical Reviews Vol. , Issue 87j [page]

1987 Mathematical Reviews  
Chapter 5 includes a new section containing topics on perma- nents and the proof of van der Waerden’s conjecture. In Chapter 7 a new proof of P.  ...  In the final section, called Geometric calculus, the authors start a program of expressing classical invariant theory in their language of double algebras.  ... 

Page 2761 of Mathematical Reviews Vol. , Issue 85g [page]

1985 Mathematical Reviews  
The author gives a new proof of the fact that a locally finite theory with the amalgamation property has a model companion.  ...  In Kozen’s section we find: an equational theory of dynamic algebras, a proof sketch of the completeness of the Segerberg axioms for PDL, a representa- tion theorem for separable dynamic algebras, and  ... 

Page 829 of American Society of Civil Engineers. Collected Journals Vol. 127, Issue 7 [page]

2001 American Society of Civil Engineers. Collected Journals  
The idea of applying the plastic methods in situations of fire is not new.  ...  After World War II, Baker, Horne, and others at Cambridge Uni- versity continued to establish the plastic theory as a practical tool in steelwork design (Heyman 1983).  ... 

Higher order Fourier analysis of multiplicative functions and applications

Nikos Frantzikinakis, Bernard Host
2016 Journal of The American Mathematical Society  
It was initiated by a seminal paper of Gowers [37] on a new proof for Szemerédi's theorem, and has been developed by several mathematicians over the past few decades in order to study problems in an  ...  Later Furstenberg [31] developed an ergodic-theoretic framework and gave a new proof for Szemerédi's theorem, but his proof was still qualitative.  ... 
doi:10.1090/jams/857 fatcat:a4g5hq5njbe5letm6wks3b2q6a

A Single Proof of Classical Behaviour in da Costa's Cn Systems

Mauricio Osorio, José Abel Castellanos
2015 Electronical Notes in Theoretical Computer Science  
In the following paper we present a proof that all logics in the Cn herarchy also behave classically as C 1 .  ...  In [6] Newton da Costa proved the connectives {→, ∧, ∨, ¬ * } in C 1 satisfy all schemas and inference rules of classical logic.  ...  Finally, a theory T is explosive if and only if T is trivial in the presence of a contradiction.  ... 
doi:10.1016/j.entcs.2015.06.002 fatcat:xdngqyxckzcmvnyhboptpf57x4

Page 4729 of Mathematical Reviews Vol. , Issue 87i [page]

1987 Mathematical Reviews  
Gentzen’s works for the pure number theory, G. Takeuti gave consistency proofs of some im- predicative subsystems of classical analysis.  ...  The first part contains an elegant proof, using a minimum of topos theory, of the special case of Funayama’s theorem which the author needs for his application.  ... 

Page 3039 of Mathematical Reviews Vol. , Issue 89F [page]

1989 Mathematical Reviews  
This leads to a short and very elegant proof of the theorem. Laurent Habsieger (Montreal, PQ) 89f:05023 05A99 26B10 Labelle, Gilbert (3-PQ) Some new computational methods in the theory of species.  ...  Finally a new proof of an old theorem concerning the case n = 4 of M. Lotan [Amer. Math. Monthly 56 (1949), 535-541; MR 11, 306] and Z.  ... 

Basic proof theory

Lev Gordeev
1998 Science of Computer Programming  
In fact, Herbrand initiated a more general proof theory -with a kind of cut elimination combined with normal form expansion.  ...  The book is carefully organized, and it provides a compact overview of various trends in "descriptive" proof theory.  ... 
doi:10.1016/s0167-6423(98)00002-1 fatcat:zaujpt3oybegxplm2wqphdgchq

Page 334 of Mathematical Reviews Vol. , Issue 99a [page]

1991 Mathematical Reviews  
some respects a significant improvement on the classical theorem—if equality in the classical  ...  In Chapter 3, the emphasis is on refinements of classical theorems in nonlinear analysis, as well as new types of results, obtain- able with the help of nonsmooth analysis.  ... 

Two remarks on affine designs with classical parameters

Dieter Jungnickel, Hanfried Lenz
1985 Journal of combinatorial theory. Series A  
Simple proofs are given for Dembowski's theorem characterizing the classical atline designs and for the existence of afflne designs with classical parameters but not isomorphic to any afIine space. (  ...  Note added in proof Using symmetric nets, one may in fact show that the number of afiine designs with classical parameters grows exponentially.  ...  Mavron for providing them with useful information relevant to the problem of constructing non-isomorphic afiine designs with classical parameters.  ... 
doi:10.1016/0097-3165(85)90031-7 fatcat:ej546kvm2febjkx34jysqw27ue

Saturation-based theorem proving: Past successes and future potential [chapter]

Harald Ganzinger
1996 Lecture Notes in Computer Science  
Used with permission. 121 ABSFOL: a proof checker with abstraction p. 136 SPASS and FLOTTER version 0.42 p. 141 The design of the CADE-13 ATP system competition p. 146 SCAN -Elimination of predicate  ...  combinations of theories p. 463 Ground resolution with group computations on semantic symmetries p. 478 A new method for knowledge compilation: the achievement by cycle search p. 493 Rewrite  ... 
doi:10.1007/3-540-61511-3_64 fatcat:iizfu32trnfadmj4z7xcvwds5y

Comparison of Two Theorem Provers: Isabelle/HOL and Coq [article]

Artem Yushkovskiy
2018 arXiv   pre-print
features of the selected theorem provers with support of illustrative proof examples.  ...  time, it gave rise to rather practical areas of logic, such as the theory of automated theorem proving.  ...  Stavros Tripakis for letting me dive into the exciting world of Logic, for providing feedback on my paper at all stages of the work, for answering all my countless questions and supporting me.  ... 
arXiv:1808.09701v2 fatcat:ffesxt4esffgjottsxmwjykjri
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