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When their reading heads are allowed to move completely asynchronously, finite-state automata with multiple tapes achieve a significant expressive power, but also lose useful closure properties---closure under intersection, in particular.…

Logic in Computer Science · Computer Science 2014-02-14 Carlo A. Furia

Streaming generation models are utilized across fields, with the Transducer architecture being popular in industrial applications. However, its input-synchronous decoding mechanism presents challenges in tasks requiring non-monotonic…

Computation and Language · Computer Science 2025-05-29 Zhengrui Ma , Yang Feng , Min Zhang

We present a novel normal form for (total deterministic) macro tree transducers (mtts), called depth proper normal form. If an mtt is in this normal form, then it is guaranteed that each parameter of each state of the mtt appears at…

Formal Languages and Automata Theory · Computer Science 2024-02-23 Paul Gallot , Sebastian Maneth , Keisuke Nakano , Charles Peyrat

The conversion of a given regular tree expression into a tree automaton has been widely studied. However, classical interpretations are based upon a Top-Down interpretation of tree automata. In this paper, we propose new constructions based…

Formal Languages and Automata Theory · Computer Science 2018-05-23 Samira Attou , Ludovic Mignot , Djelloul Ziadi

A turn in a computation of a pushdown automaton is a switch from a phase in which the height of the pushdown store increases to a phase in which it decreases. Given a pushdown or one-counter automaton, we consider, for each string in its…

Formal Languages and Automata Theory · Computer Science 2026-03-10 Giovanni Pighizzini

The monadic shallow linear Horn fragment is well-known to be decidable and has many application, e.g., in security protocol analysis, tree automata, or abstraction refinement. It was a long standing open problem how to extend the fragment…

Logic in Computer Science · Computer Science 2017-05-25 Andreas Teucke , Christoph Weidenbach

Recent advances in Neural Machine Translation (NMT) show that adding syntactic information to NMT systems can improve the quality of their translations. Most existing work utilizes some specific types of linguistically-inspired tree…

Computation and Language · Computer Science 2018-08-29 Xinyi Wang , Hieu Pham , Pengcheng Yin , Graham Neubig

Deep Learning models enjoy considerable success in Natural Language Processing. While deep architectures produce useful representations that lead to improvements in various tasks, they are often difficult to interpret. This makes the…

Computation and Language · Computer Science 2013-04-29 Christian Scheible , Hinrich Schuetze

We answer an open question in the theory of transducer degrees on the existence of a diamond structure in the transducer hierarchy. Transducer degrees are the equivalence classes formed by word transformations which can be realized by a…

Formal Languages and Automata Theory · Computer Science 2025-12-17 Noah Kaufmann

This paper discusses the relationship between memoized top-down recognizers and chart parsers. It presents a version of memoization suitable for continuation-passing style programs. When applied to a simple formalization of a top-down…

cmp-lg · Computer Science 2008-02-03 Mark Johnson

We propose for the Effective Topos an alternative construction: a realisability framework composed of two levels of abstraction. This construction simplifies the proof that the Effective Topos is a topos (equipped with natural numbers),…

Logic in Computer Science · Computer Science 2013-07-16 Alexis Bernadet , Stéphane Graham-Lengrand

Consider a linear ordering equipped with a finite sequence of monadic predicates. If the ordering contains an interval of order type \omega or -\omega, and the monadic second-order theory of the combined structure is decidable, there exists…

Logic in Computer Science · Computer Science 2015-07-01 Alexis Bes , Alexander Rabinovich

This paper shows that over infinite trees, satisfiability is decidable for weak monadic second-order logic extended by the unbounding quantifier U and quantification over infinite paths. The proof is by reduction to emptiness for a certain…

Logic in Computer Science · Computer Science 2014-04-30 Mikołaj Bojańczyk

We explore whether it is possible to build lighter parsers, that are statistically equivalent to their corresponding standard version, for a wide set of languages showing different structures and morphologies. As testbed, we use the…

Computation and Language · Computer Science 2018-10-23 David Vilares , Carlos Gómez-Rodríguez

Explainable machine learning significantly improves the transparency of deep neural networks. However, existing work is constrained to explaining the behavior of individual model predictions, and lacks the ability to transfer the…

RNN-Transducers (RNN-Ts) have gained widespread acceptance as an end-to-end model for speech to text conversion because of their high accuracy and streaming capabilities. A typical RNN-T independently encodes the input audio and the text…

Computation and Language · Computer Science 2023-07-12 Vinit S. Unni , Ashish Mittal , Preethi Jyothi , Sunita Sarawagi

We describe a way to represent computable functions between coinductive types as particular transducers in type theory. This generalizes earlier work on functions between streams by P. Hancock to a much richer class of coinductive types.…

Logic in Computer Science · Computer Science 2023-06-22 Pierre Hyvernat

We describe a translation from a fragment of SUMO (SUMO-K) into higher-order set theory. The translation provides a formal semantics for portions of SUMO which are beyond first-order and which have previously only had an informal…

Artificial Intelligence · Computer Science 2023-05-16 Chad Brown , Adam Pease , Josef Urban

We answer an open question in the theory of transducer degrees initially posed in [1] on the existence of a diamond structure in the transducer hierarchy. Transducer degrees are the equivalence classes formed by word transformations which…

Formal Languages and Automata Theory · Computer Science 2023-01-18 Noah Kaufmann

We prove a conjecture about the constructibility of coinductive types - in the principled form of indexed M-types - in Homotopy Type Theory. The conjecture says that in the presence of inductive types, coinductive types are derivable.…

Logic in Computer Science · Computer Science 2019-07-16 Benedikt Ahrens , Paolo Capriotti , Régis Spadotti