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RTA
2005
Springer
14 years 2 months ago
The Algebra of Equality Proofs
Proofs of equalities may be built from assumptions using proof rules for reflexivity, symmetry, and transitivity. Reflexivity is an axiom proving x=x for any x; symmetry is a 1-p...
Aaron Stump, Li-Yang Tan
COCOON
2003
Springer
14 years 1 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz
CADE
1992
Springer
14 years 25 days ago
Polynomial Interpretations and the Complexity of Algorithms
The ability to use a polynomial iterpretation to prove termination of a rewrite system naturally prompts the question as to what restriction on complexity this imposes. The main r...
Adam Cichon, Pierre Lescanne
ESSLLI
2009
Springer
13 years 6 months ago
Cdiprover3: A Tool for Proving Derivational Complexities of Term Rewriting Systems
This paper describes cdiprover3 a tool for proving termination of term rewrite systems by polynomial interpretations and context dependent interpretations. The methods used by cdip...
Andreas Schnabl
LICS
2008
IEEE
14 years 3 months ago
On the Computational Complexity of Cut-Reduction
Using appropriate notation systems for proofs, cutreduction can often be rendered feasible on these notations. Explicit bounds can be given. Developing a suitable notation system ...
Klaus Aehlig, Arnold Beckmann