Partial inversion of constructor term rewriting systems

N Nishida, M Sakai, T Sakabe - … Conference, RTA 2005, Nara, Japan, April …, 2005 - Springer
Partial-inversion compilers generate programs which compute some unknown inputs of
given programs from a given output and the rest of inputs whose values are already given. In …

Soundness of unravelings for conditional term rewriting systems via ultra-properties related to linearity

N Nishida, M Sakai, T Sakabe - Logical Methods in Computer …, 2012 - lmcs.episciences.org
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 …

Termination of narrowing via termination of rewriting

N Nishida, G Vidal - Applicable Algebra in Engineering, Communication …, 2010 - Springer
Narrowing extends rewriting with logic capabilities by allowing logic variables in terms and
by replacing matching with unification. Narrowing has been widely used in different contexts …

A Sufficient Condition of Logically Constrained Term Rewrite Systems for Decidability of All-path Reachability Problems with Constant Destinations

M Kojima, N Nishida - Journal of Information Processing, 2024 - jstage.jst.go.jp
An all-path reachability (APR, for short) problem of a logically constrained term rewrite
system (LCTRS, for short) is a pair of constrained terms representing state sets. An APR …

[PDF][PDF] Innermost reductions find all normal forms on right-linear terminating overlay TRSs

M Sakai, K Okamoto, T Sakabe - Reduction Strategies in Rewriting and …, 2003 - logic.at
A strategy of TRSs is said to be complete if all normal forms of a given term are reachable
from the term. We show the innermost strategy is complete for terminating, right-linear and …

[PDF][PDF] On simulation-completeness of unraveling for conditional term rewriting systems

N Nishida, M Sakai, T Sakabe - LA Symposium, 2004 - trs.css.i.nagoya-u.ac.jp
Transformations from conditional term rewriting systems (CTRSs) over (original) signatures
into term rewriting systems (TRSs) over the extended signatures, are called unravelings …

[HTML][HTML] Relative termination via dependency pairs

J Iborra, N Nishida, G Vidal, A Yamada - Journal of Automated Reasoning, 2017 - Springer
A term rewrite system is terminating when no infinite reduction sequences are possible.
Relative termination generalizes termination by permitting infinite reductions as long as …

Transformation for refining unraveled conditional term rewriting systems

N Nishida, T Mizutani, M Sakai - Electronic Notes in Theoretical Computer …, 2007 - Elsevier
Unravelings, transformations from conditional term rewriting systems (CTRSs, for short) into
unconditional term rewriting systems, are valuable for analyzing properties of CTRSs. In …

Transformational approaches for conditional term rewrite systems

K Gmeiner - 2014 - repositum.tuwien.at
Term rewriting is a purely syntactical method to replace subterms of a term by other terms.
This way, terms can be simplified until they are in normalform. Such syntactical …

[PDF][PDF] Soundness of unravelings for deterministic conditional term rewriting systems via ultra-properties related to linearity

N Nishida, M Sakai, T Sakabe - 22nd International Conference …, 2011 - drops.dagstuhl.de
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 …