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Several abstract machines that operate on symbolic input alphabets have been proposed in the last decade, for example, symbolic automata or lattice automata. Applications of these types of automata include software security analysis and…

Formal Languages and Automata Theory · Computer Science 2019-10-18 Andreas Stahlbauer

We consider the synthesis of deterministic tree transducers from automaton definable specifications, given as binary relations, over finite trees. We consider the case of specifications that are deterministic top-down tree automatic,…

Formal Languages and Automata Theory · Computer Science 2014-08-27 Christof Löding , Sarah Winter

In automata theory, while determinisation provides a standard route to solving many common problems in automata theory, some weak forms of nondeterminism can be dealt with in some problems without costly determinisation. For example, the…

Formal Languages and Automata Theory · Computer Science 2026-05-29 Thomas A. Henzinger , Keya Prakash , K. S. Thejaswini

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Program synthesis techniques construct or infer programs from user-provided specifications, such as input-output examples. Yet most specifications, especially those given by end-users, leave the synthesis problem radically ill-posed,…

Artificial Intelligence · Computer Science 2020-10-22 Yewen Pu , Kevin Ellis , Marta Kryven , Josh Tenenbaum , Armando Solar-Lezama

Temporal synthesis attempts to construct reactive programs that satisfy a given declarative (LTL) formula. Practitioners have found it challenging to work exclusively with declarative specifications, and have found languages that combine…

Logic in Computer Science · Computer Science 2021-07-05 Shaun Azzopardi , Nir Piterman , Gerardo Schneider

We identify a decidable synthesis problem for a class of programs of unbounded size with conditionals and iteration that work over infinite data domains. The programs in our class use uninterpreted functions and relations, and abide by a…

Programming Languages · Computer Science 2020-07-24 Paul Krogmeier , Umang Mathur , Adithya Murali , P. Madhusudan , Mahesh Viswanathan

We study the reactive synthesis problem for distributed systems with an unbounded number of participants interacting with an uncontrollable environment. Executions of those systems are modeled by data words, and specifications are given as…

Logic in Computer Science · Computer Science 2024-04-24 Julien Grange , Mathieu Lehaut

The origin semantics for transducers was proposed in 2014, and led to various characterizations and decidability results that are in contrast with the classical semantics. In this paper we add a further decidability result for…

Formal Languages and Automata Theory · Computer Science 2021-01-21 Sougata Bose , S. N. Krishna , Anca Muscholl , Gabriele Puppis

The aim of this work is to address issues where formal specifications cannot be realized on a given dynamical system subjected to a changing environment. Such failures occur whenever the dynamics of the system restrict the robot in such a…

A uniformization of a binary relation is a function that is contained in the relation and has the same domain as the relation. The synthesis problem asks for effective uniformization for classes of relations and functions that can be…

Formal Languages and Automata Theory · Computer Science 2018-05-08 Sarah Winter

We study the fundamental issue of decidability of satisfiability over string logics with concatenations and finite-state transducers as atomic operations. Although restricting to one type of operations yields decidability, little is known…

Logic in Computer Science · Computer Science 2015-11-06 Anthony W. Lin , Pablo Barcelo

We introduce a logic, called LT, to express properties of transductions, i.e. binary relations from input to output (finite) words. In LT, the input/output dependencies are modelled via an origin function which associates to any position of…

Formal Languages and Automata Theory · Computer Science 2018-05-31 Luc Dartois , Emmanuel Filiot , Nathan Lhote

Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLt…

Logic in Computer Science · Computer Science 2024-07-15 Andoni Rodríguez , Felipe Gorostiaga , César Sánchez

Reactive synthesis is a paradigm for automatically building correct-by-construction systems that interact with an unknown or adversarial environment. We study how to do reactive synthesis when part of the specification of the system is that…

Logic in Computer Science · Computer Science 2018-04-23 Daniel J. Fremont , Sanjit A. Seshia

Transductions are binary relations of finite words. For rational transductions, i.e., transductions defined by finite transducers, the inclusion, equivalence and sequential uniformisation problems are known to be undecidable. In this paper,…

Formal Languages and Automata Theory · Computer Science 2016-03-01 Emmanuel Filiot , Ismaël Jecker , Christof Löding , Sarah Winter

Reactive synthesis is a technology for the automatic construction of reactive systems from logical specifications. In these lecture notes, we study different algorithms for the reactive synthesis problem of linear-time temporal logic (LTL).…

Logic in Computer Science · Computer Science 2018-03-28 Bernd Finkbeiner , Felix Klein

The synthesis of string transformation programs from input-output examples utilizes various techniques, all based on an inductive bias that comprises a restricted set of basic operators to be combined. A new algorithm, Transduce, is…

Machine Learning · Computer Science 2024-01-19 Francis Frydman , Philippe Mangion

Synthesis is the automatic construction of a system from its specification. In classical synthesis algorithms, it is always assumed that the system is "constructed from scratch" rather than composed from reusable components. This, of…

Logic in Computer Science · Computer Science 2015-07-01 Sumit Nain , Yoad Lustig , Moshe Y Vardi

A word-to-word function is rational if it can be realized by a non-deterministic one-way transducer. Over finite words, it is a classical result that any rational function is regular, i.e. it can be computed by a deterministic two-way…

Formal Languages and Automata Theory · Computer Science 2022-11-04 Olivier Carton , Gaëtan Douéneau-Tabot