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We assign a relational structure to any finite algebra in a canonical way, using solution sets of equations, and we prove that this relational structure is polymorphism-homogeneous if and only if the algebra itself is…

Logic · Mathematics 2024-02-14 Endre Tóth , Tamás Waldhauser

Robust reinforcement learning agents using high-dimensional observations must be able to identify relevant state features amidst many exogeneous distractors. A representation that captures controllability identifies these state elements by…

Machine Learning · Computer Science 2024-06-25 Max Rudolph , Caleb Chuck , Kevin Black , Misha Lvovsky , Scott Niekum , Amy Zhang

We analyse the problem of combining linearity, effects, and exceptions, in abstract models of programming languages, as the issue of providing some kind of strength for a monad $T(- \oplus E)$ in a linear setting. We consider in particular…

Programming Languages · Computer Science 2026-04-22 Sidney Congard , Guillaume Munch-Maccagnoni , Rémi Douence

We present the Polar framework for fully automating the analysis of classical and probabilistic loops using algebraic reasoning. The central theme in Polar comes with handling algebraic recurrences that precisely capture the loop semantics.…

Programming Languages · Computer Science 2026-02-17 Marcel Moosbrugger , Julian Müllner , Ezio Bartocci , Laura Kovács

Metaprogramming and effect handlers interact in unexpected, and sometimes undesirable, ways. One example is scope extrusion: the generation of ill-scoped code. Scope extrusion can either be preemptively prevented, via static type systems,…

Programming Languages · Computer Science 2026-01-27 Michael Lee , Ningning Xie , Oleg Kiselyov , Jeremy Yallop

The termination method of weakly monotonic algebras, which has been defined for higher-order rewriting in the HRS formalism, offers a lot of power, but has seen little use in recent years. We adapt and extend this method to the alternative…

Logic in Computer Science · Computer Science 2012-03-27 Carsten Fuhs , Cynthia Kop

Logic programs, more specifically, Answer-set programs, can be annotated with probabilities on facts to express uncertainty. We address the problem of propagating weight annotations on facts (eg probabilities) of an ASP to its standard…

Logic in Computer Science · Computer Science 2025-03-31 Francisco Coelho , Bruno Dinis , Dietmar Seipel , Salvador Abreu

In safety-critical applications, guaranteeing the satisfaction of constraints over continuous environments is crucial, e.g., an autonomous agent should never crash into obstacles or go off-road. Neural models struggle in the presence of…

Machine Learning · Computer Science 2025-06-17 Leander Kurscheidt , Paolo Morettin , Roberto Sebastiani , Andrea Passerini , Antonio Vergari

Shape types are a general concept of process types which work for many process calculi. We extend the previously published Poly* system of shape types to support name restriction. We evaluate the expressiveness of the extended system by…

Logic in Computer Science · Computer Science 2010-04-01 Jan Jakubuv , J. B. Wells

While a mature body of work supports the study of rewriting systems, abstract tools for Probabilistic Rewriting are still limited. In this paper we study the question of uniqueness of the result (unique limit distribution), and develop a…

Logic in Computer Science · Computer Science 2023-06-22 Claudia Faggian

This thesis is intended to provide an account of the theory and applications of Operational Methods that allow the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we…

Classical Analysis and ODEs · Mathematics 2018-03-09 Silvia Licciardi

A major challenge to deploying cyber-physical systems with learning-enabled controllers is to ensure their safety, especially in the face of changing environments that necessitate runtime knowledge acquisition. Model-checking and automated…

Programming Languages · Computer Science 2025-02-27 Yao Feng , Jun Zhu , André Platzer , Jonathan Laurent

We present the guarded lambda-calculus, an extension of the simply typed lambda-calculus with guarded recursive and coinductive types. The use of guarded recursive types ensures the productivity of well-typed programs. Guarded recursive…

Logic in Computer Science · Computer Science 2019-03-14 Ranald Clouston , Aleš Bizjak , Hans Bugge Grathwohl , Lars Birkedal

We propose a programming model where effects are treated in a disciplined way, and where the potential side-effects of a function are apparent in its type signature. The type and effect of expressions can also be inferred automatically, and…

Programming Languages · Computer Science 2014-06-10 Daan Leijen

We revisit the problem of computing (robust) controlled invariant sets for discrete-time linear systems. Departing from previous approaches, we consider implicit, rather than explicit, representations for controlled invariant sets.…

Optimization and Control · Mathematics 2022-08-10 Tzanis Anevlavis , Zexiang Liu , Necmiye Ozay , Paulo Tabuada

We introduce a class of monotone $\sigma$-complete effect algebras, called representable, which are $\sigma$-homomorphic images of a class of monotone $\sigma$-complete effect algebras of functions taking values in the interval $[0,1]$ and…

Mathematical Physics · Physics 2015-06-17 Anatolij Dvurečenskij

We present a symbolic machinery that admits both probabilistic and causal information about a given domain and produces probabilistic statements about the effect of actions and the impact of observations. The calculus admits two types of…

Artificial Intelligence · Computer Science 2013-02-28 Judea Pearl

This paper presents the Functional Machine Calculus (FMC) as a simple model of higher-order computation with "reader/writer" effects: higher-order mutable store, input/output, and probabilistic and non-deterministic computation. The FMC…

Programming Languages · Computer Science 2023-06-22 Willem Heijltjes

Current decision support systems address domains that are heterogeneous in nature and becoming progressively larger. Such systems often require the input of expert judgement about a variety of different fields and an intensive computational…

Other Statistics · Statistics 2017-07-10 Manuele Leonelli , Eva Riccomagno , Jim Q. Smith

Despite significant advancement in technology, communication and computational failures are still prevalent in safety-critical engineering applications. Often, networked control systems experience packet dropouts, leading to open-loop…

Systems and Control · Electrical Eng. & Systems 2026-01-05 Marc Seidel , Mahathi Anand , Frank Allgöwer