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RTA
2005
Springer
15 years 8 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
15 years 7 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
15 years 6 months 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
15 years 9 days 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
15 years 9 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