Results 11 to 20 of about 836,741 (199)
Soundness of Unravelings for Conditional Term Rewriting Systems via Ultra-Properties Related to Linearity [PDF]
Unravelings are transformations from a conditional term rewriting system (CTRS, for short) over an original signature into an unconditional term rewriting systems (TRS, for short) over an extended signature. They are not sound w.r.t.
Naoki Nishida +2 more
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Consistency and Completeness of Rewriting in the Calculus of Constructions [PDF]
Adding rewriting to a proof assistant based on the Curry-Howard isomorphism, such as Coq, may greatly improve usability of the tool. Unfortunately adding an arbitrary set of rewrite rules may render the underlying formal system undecidable and ...
Daria Walukiewicz-Chrzaszcz +1 more
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Infinitary Combinatory Reduction Systems: Confluence [PDF]
We study confluence in the setting of higher-order infinitary rewriting, in particular for infinitary Combinatory Reduction Systems (iCRSs). We prove that fully-extended, orthogonal iCRSs are confluent modulo identification of hypercollapsing subterms ...
Jeroen Ketema, Jakob Grue Simonsen
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Modularity of Convergence and Strong Convergence in Infinitary Rewriting [PDF]
Properties of Term Rewriting Systems are called modular iff they are preserved under (and reflected by) disjoint union, i.e. when combining two Term Rewriting Systems with disjoint signatures.
Stefan Michael Kahrs
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Pushing for weighted tree automata [PDF]
A weight normalization procedure, commonly called pushing, is introduced for weighted tree automata (wta) over commutative semifields. The normalization preserves the recognized weighted tree language even for nondeterministic wta, but it is most useful ...
Thomas Hanneforth +2 more
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Reachability Analysis of Innermost Rewriting [PDF]
We consider the problem of inferring a grammar describing the output of a functional program given a grammar describing its input. Solutions to this problem are helpful for detecting bugs or proving safety properties of functional programs, and several ...
Thomas Genet, Yann Salmon
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Lineal: A linear-algebraic Lambda-calculus [PDF]
We provide a computational definition of the notions of vector space and bilinear functions. We use this result to introduce a minimal language combining higher-order computation and linear algebra.
Pablo Arrighi, Gilles Dowek
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Bisimilarity on Basic Process Algebra is in 2-ExpTime (an explicit proof) [PDF]
Burkart, Caucal, Steffen (1995) showed a procedure deciding bisimulation equivalence of processes in Basic Process Algebra (BPA), i.e. of sequential processes generated by context-free grammars.
Petr Jancar
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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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Modes of Convergence for Term Graph Rewriting [PDF]
Term graph rewriting provides a simple mechanism to finitely represent restricted forms of infinitary term rewriting. The correspondence between infinitary term rewriting and term graph rewriting has been studied to some extent.
Patrick Bahr
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