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Conditional term rewriting is an intuitive yet complex extension of term rewriting. In order to benefit from the simpler framework of unconditional rewriting, transformations have been defined to eliminate the conditions of conditional term…

Logic in Computer Science · Computer Science 2017-01-04 Karl Gmeiner

Logically Constrained Term Rewriting Systems (LCTRSs) provide a general framework for term rewriting with constraints. We discuss a simple dependency pair approach to prove termination of LCTRSs. We see that existing techniques transfer to…

Logic in Computer Science · Computer Science 2016-01-14 Cynthia Kop

There are many evaluation strategies for term rewrite systems, but proving termination automatically is usually easiest for innermost rewriting. Several syntactic criteria exist when innermost termination implies full termination. We adapt…

Logic in Computer Science · Computer Science 2024-02-13 Jan-Christoph Kassing , Florian Frohn , Jürgen Giesl

There are two kinds of approaches for termination analysis of logic programs: "transformational" and "direct" ones. Direct approaches prove termination directly on the basis of the logic program. Transformational approaches transform a…

Logic in Computer Science · Computer Science 2008-09-01 P. Schneider-Kamp , J. Giesl , A. Serebrenik , R. Thiemann

In this paper, we show a new approach to transformations of an imperative program with function calls and global variables into a logically constrained term rewriting system. The resulting system represents transitions of the whole…

Logic in Computer Science · Computer Science 2019-02-25 Yoshiaki Kanazawa , Naoki Nishida

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.…

Logic in Computer Science · Computer Science 2015-07-01 Naoki Nishida , Masahiko Sakai , Toshiki Sakabe

Logically constrained term rewriting systems (LCTRSs) are a program analyzing formalism with native support for data types which are not (co)inductively defined. As a first-order formalism, LCTRSs have accommodated only analysis of…

Logic in Computer Science · Computer Science 2023-07-26 Liye Guo , Cynthia Kop

Text spotting end-to-end methods have recently gained attention in the literature due to the benefits of jointly optimizing the text detection and recognition components. Existing methods usually have a distinct separation between the…

Computer Vision and Pattern Recognition · Computer Science 2022-02-15 Yair Kittenplon , Inbal Lavi , Sharon Fogel , Yarin Bar , R. Manmatha , Pietro Perona

Logically constrained term rewrite systems (LCTRSs) are a rewriting formalism that naturally supports built-in data structures, including integers and bit-vectors. The recent framework of existentially constrained terms and most general…

Logic in Computer Science · Computer Science 2026-02-04 Takahito Aoto , Naoki Nishida , Jonas Schöpf

We present a new approach to evaluate computational models for the task of text understanding by the means of out-of-context error detection. Through the novel design of our automated modification process, existing large-scale data sources…

Computation and Language · Computer Science 2018-03-28 Patrick Huber , Jan Niehues , Alex Waibel

We present techniques to prove termination of cycle rewriting, that is, string rewriting on cycles, which are strings in which the start and end are connected. Our main technique is to transform cycle rewriting into string rewriting and…

Logic in Computer Science · Computer Science 2019-03-14 David Sabel , Hans Zantema

We show in this paper how managed multi-context systems (mMCSs) can be turned into a reactive formalism suitable for continuous reasoning in dynamic environments. We extend mMCSs with (abstract) sensors and define the notion of a run of the…

Artificial Intelligence · Computer Science 2015-05-21 Gerhard Brewka , Stefan Ellmauthaler , Jörg Pührer

Streams are infinite sequences over a given data type. A stream specification is a set of equations intended to define a stream. We propose a transformation from such a stream specification to a term rewriting system (TRS) in such a way…

Logic in Computer Science · Computer Science 2015-07-01 Hans H Zantema

Logically constrained rewrite systems (LCTRSs) are a versatile and efficient rewriting formalism that can be used to model programs from various programming paradigms, as well as simplification systems in compilers and SMT solvers. In this…

Computational Complexity · Computer Science 2020-12-14 Sarah Winkler , Georg Moser

Logically constrained term rewriting is a relatively new rewriting formalism that naturally supports built-in data structures, such as integers and bit vectors. In the analysis of logically constrained term rewrite systems (LCTRSs),…

Logic in Computer Science · Computer Science 2025-12-16 Kanta Takahata , Jonas Schöpf , Naoki Nishida , Takahito Aoto

There are many evaluation strategies for term rewrite systems, but automatically proving termination or analyzing complexity is usually easiest for innermost rewriting. Several syntactic criteria exist when innermost termination implies…

Logic in Computer Science · Computer Science 2025-12-17 Jan-Christoph Kassing , Jürgen Giesl

Rewriting is a framework for reasoning about functional programming. The dependency pair criterion is a well-known mechanism to analyze termination of term rewriting systems. Functional specifications with an operational semantics based on…

Logic in Computer Science · Computer Science 2019-11-04 Ariane Alves Almeida , Mauricio Ayala-Rincon

While there are many approaches for automatically proving termination of term rewrite systems, up to now there exist only few techniques to disprove their termination automatically. Almost all of these techniques try to find loops, where…

Logic in Computer Science · Computer Science 2010-12-30 René Thiemann , Christian Sternagel , Jürgen Giesl , Peter Schneider-Kamp

Labeled transition systems are typically used to represent the behavior of nondeterministic processes, with labeled transitions defining a one-step state to-state reachability relation. This model has been recently made more general by…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-10 Marco Bernardo , Rocco De Nicola , Michele Loreti

Dependency pairs constitute a series of very effective techniques for the termination analysis of term rewriting systems. In this paper, we adapt the static dependency pair framework to logically constrained simply-typed term rewriting…

Logic in Computer Science · Computer Science 2024-07-31 Liye Guo , Kasper Hagens , Cynthia Kop , Deivid Vale
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