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This article is concerned with automated complexity analysis of term rewrite systems. Since these systems underlie much of declarative programming, time complexity of functions defined by rewrite systems is of particular interest. Among…

Logic in Computer Science · Computer Science 2011-06-02 Nao Hirokawa , Georg Moser

Existing approaches to the synthesis of reactive systems typically involve the construction of transition systems such as Mealy automata. However, in order to obtain a succinct representation of the desired system, structured programs can…

Logic in Computer Science · Computer Science 2013-03-05 Benedikt Brütsch

Optimal stopping is the problem of deciding when to stop a stochastic system to obtain the greatest reward, arising in numerous application areas such as finance, healthcare and marketing. State-of-the-art methods for high-dimensional…

Optimization and Control · Mathematics 2020-01-01 Dragos Florin Ciocan , Velibor V. Mišić

Synthesizing programs from examples requires searching over a vast, combinatorial space of possible programs. In this search process, a key challenge is representing the behavior of a partially written program before it can be executed, to…

Programming Languages · Computer Science 2021-04-21 Maxwell Nye , Yewen Pu , Matthew Bowers , Jacob Andreas , Joshua B. Tenenbaum , Armando Solar-Lezama

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

Systems and Control · Computer Science 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

The problem of checking whether two programs are semantically equivalent or not has a diverse range of applications, and is consequently of substantial importance. There are several techniques that address this problem, chiefly by…

Software Engineering · Computer Science 2021-09-07 Manish Goyal , Muqsit Azeem , Kumar Madhukar , R. Venkatesh

We develop a formal perspective on how regular expression matching works in Java, a popular representative of the category of regex-directed matching engines. In particular, we define an automata model which captures all the aspects needed…

Formal Languages and Automata Theory · Computer Science 2014-05-23 Martin Berglund , Frank Drewes , Brink van der Merwe

We present a new approach to automated reasoning about higher-order programs by extending symbolic execution to use behavioral contracts as symbolic values, enabling symbolic approximation of higher-order behavior. Our approach is based on…

Programming Languages · Computer Science 2012-04-27 Sam Tobin-Hochstadt , David Van Horn

We present a novel end-to-end reinforcement learning approach to automatic taxonomy induction from a set of terms. While prior methods treat the problem as a two-phase task (i.e., detecting hypernymy pairs followed by organizing these pairs…

Computation and Language · Computer Science 2018-05-14 Yuning Mao , Xiang Ren , Jiaming Shen , Xiaotao Gu , Jiawei Han

We study the satisfiability problem of symbolic tree automata and decompose it into the satisfiability problem of the existential first-order theory of the input characters and the existential monadic second-order theory of the indices of…

Formal Languages and Automata Theory · Computer Science 2023-11-10 Rodrigo Raya

Hoare-style verification provides a principled foundation for reasoning about the correctness of quantum programs, but existing approaches do not allow fully automatic verification. While automata-based verification scales well when…

Logic in Computer Science · Computer Science 2026-05-08 Wei-Lun Tsai , Yu-Fang Chen , Ondřej Lengál

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

We present a novel decision tree-based synthesis algorithm of ranking functions for verifying program termination. Our algorithm is integrated into the workflow of CounterExample Guided Inductive Synthesis (CEGIS). CEGIS is an iterative…

Logic in Computer Science · Computer Science 2021-07-06 Satoshi Kura , Hiroshi Unno , Ichiro Hasuo

We present an algorithm for regular expression parsing and submatch extraction based on tagged deterministic finite automata. The algorithm works with different disambiguation policies. We give detailed pseudocode for the algorithm,…

Formal Languages and Automata Theory · Computer Science 2026-03-31 Angelo Borsotti , Ulya Trafimovich

This paper develops a unified framework for evaluating the optimal degree of task automation. Moving beyond binary automate-or-not assessments, we model automation intensity as a continuous choice in which firms minimize costs by selecting…

General Economics · Economics 2026-04-01 Wensu Li , Atin Aboutorabi , Harry Lyu , Kaizhi Qian , Martin Fleming , Brian C. Goehring , Neil Thompson

We explore different ways of implementing temporal constraints expressed in an extension of Answer Set Programming (ASP) with language constructs from dynamic logic. Foremost, we investigate how automata can be used for enforcing such…

Artificial Intelligence · Computer Science 2021-09-07 Pedro Cabalar , Martín Diéguez , Susana Hahn , Torsten Schaub

Equality saturation is a program optimization technique based on non-destructive rewriting and a form of abstract interpretation called e-class analysis. Existing e-class analyses are pessimistic and therefore typically imprecise when…

Programming Languages · Computer Science 2026-04-17 Russel Arbore , Alvin Cheung , Max Willsey

Sequential testing problems involve a complex system with several components, each of which is "working" with some independent probability. The outcome of each component can be determined by performing a test, which incurs some cost. The…

Data Structures and Algorithms · Computer Science 2023-08-22 Rohan Ghuge , Anupam Gupta , Viswanath Nagarajan

Automata learning is a popular technique used to automatically construct an automaton model from queries. Much research went into devising ad hoc adaptations of algorithms for different types of automata. The CALF project seeks to unify…

Formal Languages and Automata Theory · Computer Science 2023-02-03 Gerco van Heerdt , Tobias Kappé , Jurriaan Rot , Matteo Sammartino , Alexandra Silva

Large language models trained on code have shown great potential to increase productivity of software developers. Several execution-based benchmarks have been proposed to evaluate functional correctness of model-generated code on simple…