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» Automating Proofs in Category Theory
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LICS
2002
IEEE
14 years 9 days ago
The Proof Complexity of Linear Algebra
We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We...
Michael Soltys, Stephen A. Cook
STOC
1999
ACM
101views Algorithms» more  STOC 1999»
13 years 11 months ago
Short Proofs are Narrow - Resolution Made Simple
The width of a Resolution proof is defined to be the maximal number of literals in any clause of the proof. In this paper, we relate proof width to proof length (ϭsize), in both g...
Eli Ben-Sasson, Avi Wigderson
DAC
2007
ACM
14 years 8 months ago
On Resolution Proofs for Combinational Equivalence
Modern combinational equivalence checking (CEC) engines are complicated programs which are difficult to verify. In this paper we show how a modern CEC engine can be modified to pr...
Satrajit Chatterjee, Alan Mishchenko, Robert K. Br...
TLCA
2009
Springer
14 years 1 months ago
Some Observations on the Proof Theory of Second Order Propositional Multiplicative Linear Logic
Abstract. We investigate the question of what constitutes a proof when quantifiers and multiplicative units are both present. On the technical level this paper provides two new as...
Lutz Straßburger
LOPSTR
2001
Springer
13 years 12 months ago
Proof Theory, Transformations, and Logic Programming for Debugging Security Protocols
In this paper we define a sequent calculus to formally specify, simulate, debug and verify security protocols. In our sequents we distinguish between the current knowledge of prin...
Giorgio Delzanno, Sandro Etalle