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P3 problem and Magnolia language: Specializing array computations for emerging architectures
The problem of producing portable high-performance computing (HPC) software that is cheap to develop and maintain is called the P3 (performance, portability, productivity) problem.
Benjamin Chetioui +4 more
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Modular Complexity Analysis for Term Rewriting [PDF]
All current investigations to analyze the derivational complexity of term rewrite systems are based on a single termination method, possibly preceded by transformations. However, the exclusive use of direct criteria is problematic due to their restricted
Harald Zankl, Martin Korp
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Linear Compressed Pattern Matching for Polynomial Rewriting (Extended Abstract) [PDF]
This paper is an extended abstract of an analysis of term rewriting where the terms in the rewrite rules as well as the term to be rewritten are compressed by a singleton tree grammar (STG).
Manfred Schmidt-Schauss
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Convergence in Infinitary Term Graph Rewriting Systems is Simple (Extended Abstract) [PDF]
In this extended abstract, we present a simple approach to convergence on term graphs that allows us to unify term graph rewriting and infinitary term rewriting. This approach is based on a partial order and a metric on term graphs.
Patrick Bahr
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Verifying Temporal Regular Properties of Abstractions of Term Rewriting Systems [PDF]
The tree automaton completion is an algorithm used for proving safety properties of systems that can be modeled by a term rewriting system. This representation and verification technique works well for proving properties of infinite systems like ...
Benoît Boyer, Thomas Genet
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Infinitary rewriting: meta-theory and convergence [PDF]
When infinitary rewriting was introduced by Kaplan et.al. at the beginning of the 1990s, its term universe was explained as the metric completion of a metric on finite terms.
Kahrs, Stefan
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A Reduction-Preserving Completion for Proving Confluence of Non-Terminating Term Rewriting Systems [PDF]
We give a method to prove confluence of term rewriting systems that contain non-terminating rewrite rules such as commutativity and associativity.
Takahito Aoto, Yoshihito Toyama
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Controlled Term Rewriting [PDF]
Motivated by the problem of verification of imperative tree transformation programs, we study the combination, called controlled term rewriting systems (CntTRS), of term rewriting rules with con- straints selecting the possible rewrite positions. These constraints are specified, for each rewrite rule, by a selection automaton which defines a set of ...
Jacquemard, Florent +2 more
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Unfolding of Finite Concurrent Automata [PDF]
We consider recognizable trace rewriting systems with level-regular contexts (RTL). A trace language is level-regular if the set of Foata normal forms of its elements is regular. We prove that the rewriting graph of a RTL is word-automatic.
Alexandre Mansard
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Complexity Hierarchies and Higher-order Cons-free Term Rewriting [PDF]
Constructor rewriting systems are said to be cons-free if, roughly, constructor terms in the right-hand sides of rules are subterms of the left-hand sides; the computational intuition is that rules cannot build new data structures.
Cynthia Kop, Jakob Grue Simonsen
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