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JSYML
2008
73views more  JSYML 2008»
13 years 10 months ago
Examining fragments of the quantified propositional calculus
When restricted to proving q i formulas, the quantified propositional proof system G i is closely related to the b i theorems of Buss's theory Si 2. Namely, G i has polynomial...
Steven Perron
JSYML
2000
66views more  JSYML 2000»
13 years 9 months ago
A Finite Basis Theorem for Residually Finite, Congruence Meet-Semidistributive Varieties
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...
Ross Willard
COMBINATORICS
1998
88views more  COMBINATORICS 1998»
13 years 9 months ago
A Bijective Proof of Garsia's q-Lagrange Inversion Theorem
A q-Lagrange inversion theorem due to A. M. Garsia is proved by means of two sign-reversing, weight-preserving involutions on Catalan trees.
Dan W. Singer
JCT
2008
91views more  JCT 2008»
13 years 8 months ago
A chain theorem for matroids
Tutte's Wheels-and-Whirls Theorem proves that if M is a 3-connected matroid other than a wheel or a whirl, then M has a
James G. Oxley, Charles Semple, Geoff Whittle
AAECC
1997
Springer
99views Algorithms» more  AAECC 1997»
14 years 2 months ago
Extension Theorems for Linear Codes over Finite Rings
Various forms of the extension problem are discussed for linear codes de ned over nite rings. The extension theorem for symmetrized weight compositions over nite Frobenius rings is...
Jay A. Wood