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The compactness lemma in programming language theory states that any recursive function can be simulated by a finite unrolling of the function. One important use case it has is in the logical relations proof technique for proving properties…

Programming Languages · Computer Science 2024-05-06 Matias Scharager

Pretrained foundation models offer substantial benefits for a wide range of downstream tasks, which can be one of the most potential techniques to access artificial general intelligence. However, scaling up foundation transformers for…

Machine Learning · Computer Science 2024-06-21 Xingrun Xing , Li Du , Xinyuan Wang , Xianlin Zeng , Yequan Wang , Zheng Zhang , Jiajun Zhang

We study induction on the program structure as a proof method for bisimulation-based compiler correctness. We consider a first-order language with mutually recursive function definitions, system calls, and an environment semantics. The…

Programming Languages · Computer Science 2016-11-30 Sigurd Schneider , Gert Smolka , Sebastian Hack

Reward machines (RMs) are automata structures that encode (non-Markovian) reward functions for reinforcement learning (RL). RMs can reward any behaviour representable in regular languages and, when paired with RL algorithms that exploit RM…

Artificial Intelligence · Computer Science 2025-11-13 Giovanni Varricchione , Toryn Q. Klassen , Natasha Alechina , Mehdi Dastani , Brian Logan , Sheila A. McIlraith

Broadbent and G\"oller (FSTTCS 2012) proved the undecidability of bisimulation equivalence for processes generated by epsilon-free second-order pushdown automata. We add a few remarks concerning the used proof technique, called Defender's…

Logic in Computer Science · Computer Science 2013-03-05 Petr Jančar , Jiří Srba

Hybrid Communicating Sequential Processes (HCSP) is a powerful formal modeling language for hybrid systems, which is an extension of CSP by introducing differential equations for modeling continuous evolution and interrupts for modeling…

Logic in Computer Science · Computer Science 2016-09-09 Gaogao Yan , Li Jiao , Yangjia Li , Shuling Wang , Naijun Zhan

We study the bisimilarity problem for probabilistic pushdown automata (pPDA) and subclasses thereof. Our definition of pPDA allows both probabilistic and non-deterministic branching, generalising the classical notion of pushdown automata…

Logic in Computer Science · Computer Science 2023-06-22 Vojtěch Forejt , Petr Jančar , Stefan Kiefer , James Worrell

In order to learn complex grammars, recurrent neural networks (RNNs) require sufficient computational resources to ensure correct grammar recognition. A widely-used approach to expand model capacity would be to couple an RNN to an external…

Neural and Evolutionary Computing · Computer Science 2019-09-23 Ankur Mali , Alexander Ororbia , C. Lee Giles

We present a bounded equivalence verification technique for higher-order programs with local state. This technique combines fully abstract symbolic environmental bisimulations similar to symbolic game semantics, novel up-to techniques, and…

Programming Languages · Computer Science 2021-10-25 Vasileios Koutavas , Yu-Yang Lin , Nikos Tzevelekos

The overall problem addressed in this paper is the long-standing problem of program correctness, and in particular programs that describe systems of parallel executing processes. We propose a new method for proving correctness of parallel…

Programming Languages · Computer Science 2023-02-10 Frank S. de Boer , Einar Broch Johnsen , Violet Ka I Pun , Silvia Lizeth Tapia Tarifa

Learning generalizeable policies from visual input in the presence of visual distractions is a challenging problem in reinforcement learning. Recently, there has been renewed interest in bisimulation metrics as a tool to address this issue;…

Machine Learning · Computer Science 2022-01-31 Martin Bertran , Walter Talbott , Nitish Srivastava , Joshua Susskind

In existing simulation proof techniques, a single step in a lower-level specification may be simulated by an extended execution fragment in a higher-level one. As a result, it is cumbersome to mechanize these techniques using general…

Logic in Computer Science · Computer Science 2018-12-31 W. O. D. Griffioen , F. W. Vaandrager

We design a family of program analyses for JavaScript that make no approximation in matching calls with returns, exceptions with handlers, and breaks with labels. We do so by starting from an established reduction semantics for JavaScript…

Programming Languages · Computer Science 2011-12-21 David Van Horn , Matthew Might

Standard answer set programming (ASP) targets at solving search problems from the first level of the polynomial time hierarchy (PH). Tackling search problems beyond NP using ASP is less straightforward. The class of disjunctive logic…

Artificial Intelligence · Computer Science 2016-08-16 Bart Bogaerts , Tomi Janhunen , Shahab Tasharrofi

Visibly pushdown transducers form a subclass of pushdown transducers that (strictly) extends finite state transducers with a stack. Like visibly pushdown automata, the input symbols determine the stack operations. In this paper, we prove…

Formal Languages and Automata Theory · Computer Science 2015-05-18 Emmanuel Filiot , Jean-François Raskin , Pierre-Alain Reynier , Frédéric Servais , Jean-Marc Talbot

This paper proposes algorithms for learning two-level Boolean rules in Conjunctive Normal Form (CNF, i.e. AND-of-ORs) or Disjunctive Normal Form (DNF, i.e. OR-of-ANDs) as a type of human-interpretable classification model, aiming for a…

Machine Learning · Computer Science 2015-11-24 Guolong Su , Dennis Wei , Kush R. Varshney , Dmitry M. Malioutov

We present an underapproximation for context-free languages by filtering out runs of the underlying pushdown automaton depending on how the stack height evolves over time. In particular, we assign to each run a number quantifying the…

Formal Languages and Automata Theory · Computer Science 2016-09-15 Pierre Ganty , Damir Valput

This paper presents a bisimulation-based method for establishing the soundness of equations between terms constructed using operations whose semantics is specified by rules in the GSOS format of Bloom, Istrail and Meyer. The method is…

Logic in Computer Science · Computer Science 2010-02-16 Luca Aceto , Matteo Cimini , Anna Ingolfsdottir

This paper studies context bisimulation for higher-order processes, in the presence of parameterization (viz. abstraction). We show that the extension of higher-order processes with process parameterization retains the characterization of…

Logic in Computer Science · Computer Science 2013-10-18 Xian Xu

We consider a class of systems over finite alphabets, namely discrete-time systems with linear dynamics and a finite input alphabet. We formulate a notion of finite uniform bisimulation, and motivate and propose a notion of regular finite…

Optimization and Control · Mathematics 2015-10-15 Donglei Fan , Danielle C. Tarraf